
Time bar (total: 12.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.7% | 92.5% | 6.2% | 0.1% | 0% | 0% | 1.2% | 9 |
| 93.7% | 92.5% | 6.2% | 0.1% | 0% | 0% | 1.2% | 10 |
| 96.8% | 94.9% | 3.1% | 0.1% | 0% | 0% | 1.9% | 11 |
| 96.8% | 94.9% | 3.1% | 0.1% | 0% | 0% | 1.9% | 12 |
Compiled 32 to 20 computations (37.5% saved)
ival-exp: 6.0ms (24.2% of total)ival-mult: 6.0ms (24.2% of total)ival-sub: 4.0ms (16.1% of total)ival-div: 3.0ms (12.1% of total)ival-add: 3.0ms (12.1% of total)ival-neg: 2.0ms (8.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 848.0ms | 5937× | 0 | valid |
| 630.0ms | 920× | 2 | valid |
| 439.0ms | 1399× | 1 | valid |
| 143.0ms | 964× | 0 | unsamplable |
ival-mult: 438.0ms (26.2% of total)ival-exp: 382.0ms (22.8% of total)ival-div: 247.0ms (14.8% of total)ival-sub: 216.0ms (12.9% of total)ival-add: 158.0ms (9.4% of total)ival-neg: 140.0ms (8.4% of total)backward-pass: 73.0ms (4.4% of total)const: 19.0ms (1.1% of total)| 2× | egg-herbie |
| 2446× | *-lowering-*.f32 |
| 2446× | *-lowering-*.f64 |
| 1842× | sum3-define |
| 1570× | sum5-define |
| 1194× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 163 |
| 1 | 208 | 149 |
| 2 | 642 | 138 |
| 3 | 2278 | 136 |
| 4 | 7625 | 136 |
| 0 | 19 | 26 |
| 1 | 58 | 26 |
| 2 | 163 | 23 |
| 3 | 543 | 23 |
| 4 | 1479 | 22 |
| 5 | 5450 | 22 |
| 0 | 8248 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
| Outputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| Inputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2) |
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2) |
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)) |
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)) |
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2) |
| Outputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
(/ (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) 2) |
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2) |
(/ (fmsub (+ 1 (recip eps)) (exp (fnmadd eps x x)) (* (+ (recip eps) -1) (exp (fma eps x x)))) 2) |
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2) |
(/ (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) 2) |
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)) |
(/ (fnmsub (exp (fma eps x x)) (- 1 (recip eps)) (* (+ 1 (recip eps)) (exp (fnmadd eps x x)))) 2) |
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)) |
(* (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) -1/2) |
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2) |
(/ (+ (/ (+ 1 (recip x)) (exp (fnmadd eps x eps))) (/ (- 1 (recip x)) (exp (fma eps x eps)))) 2) |
(abs eps)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 4 | (1.6568318747781167e-275 1.0642282756460524e-13) | 0 | - | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 1 | 1 | (-112.73462648615892 3.605426927616765e-301) | 0 | - | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
| 1 | 1 | (-112.73462648615892 3.605426927616765e-301) | 0 | - | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 89.0ms | 374× | 0 | valid |
| 49.0ms | 60× | 2 | valid |
| 32.0ms | 78× | 1 | valid |
Compiled 319 to 59 computations (81.5% saved)
ival-exp: 38.0ms (35.3% of total)ival-mult: 22.0ms (20.4% of total)ival-sub: 12.0ms (11.1% of total)ival-div: 11.0ms (10.2% of total)backward-pass: 9.0ms (8.4% of total)ival-neg: 7.0ms (6.5% of total)ival-add: 7.0ms (6.5% of total)const: 1.0ms (0.9% of total)Compiled 27 to 18 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.0% | (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 eps #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| 2418× | *-lowering-*.f32 |
| 2418× | *-lowering-*.f64 |
| 2054× | sum3-define |
| 1292× | times-frac |
| 1144× | fma-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 97 |
| 1 | 50 | 97 |
| 2 | 134 | 97 |
| 3 | 364 | 93 |
| 4 | 1111 | 89 |
| 5 | 5656 | 89 |
| 0 | 8061 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) |
(exp (* x (+ eps -1))) |
(* x (+ eps -1)) |
x |
(+ eps -1) |
eps |
-1 |
(- 1/2 (/ -1/2 eps)) |
1/2 |
(/ -1/2 eps) |
-1/2 |
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)) |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
(- -1 eps) |
(+ (/ 1/2 eps) -1/2) |
(/ 1/2 eps) |
| Outputs |
|---|
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) |
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) |
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
(exp (* x (+ eps -1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(* x (+ eps -1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
x |
(+ eps -1) |
(+.f64 eps #s(literal -1 binary64)) |
eps |
-1 |
#s(literal -1 binary64) |
(- 1/2 (/ -1/2 eps)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
1/2 |
#s(literal 1/2 binary64) |
(/ -1/2 eps) |
(/.f64 #s(literal -1/2 binary64) eps) |
-1/2 |
#s(literal -1/2 binary64) |
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)) |
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
(exp (* x (- -1 eps))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(* x (- -1 eps)) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
(+ (/ 1/2 eps) -1/2) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
(/ 1/2 eps) |
(/.f64 #s(literal 1/2 binary64) eps) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
| ✓ | accuracy | 75.0% | (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| 28.0ms | 187× | 0 | valid |
| 27.0ms | 31× | 2 | valid |
| 13.0ms | 38× | 1 | valid |
Compiled 101 to 19 computations (81.2% saved)
ival-exp: 15.0ms (33.7% of total)ival-mult: 9.0ms (20.2% of total)ival-sub: 6.0ms (13.5% of total)ival-div: 5.0ms (11.2% of total)backward-pass: 4.0ms (9% of total)ival-add: 4.0ms (9% of total)const: 1.0ms (2.2% of total)| Inputs |
|---|
#<alt (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))> |
#<alt (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))> |
#<alt (exp (* x (+ eps -1)))> |
#<alt (* x (+ eps -1))> |
#<alt (exp (* x (- -1 eps)))> |
#<alt (* x (- -1 eps))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))> |
#<alt (+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))> |
#<alt (+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))> |
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))> |
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))> |
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))> |
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))> |
#<alt (- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))> |
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))> |
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))> |
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))> |
#<alt (- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))> |
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))> |
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))> |
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))> |
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))> |
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (+ (* 1/6 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* 1/2 (/ (exp (* -1 x)) eps))> |
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)> |
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)> |
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)> |
#<alt (* 1/2 (exp (* x (- eps 1))))> |
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))> |
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))> |
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))> |
#<alt (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))> |
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))> |
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))> |
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))> |
#<alt 1> |
#<alt (+ 1 (* x (- eps 1)))> |
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))> |
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* -1 x))> |
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* x (- eps 1)))> |
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))> |
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))> |
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))> |
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* x (- eps 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* eps x))> |
#<alt (+ (* -1 x) (* eps x))> |
#<alt (+ (* -1 x) (* eps x))> |
#<alt (* eps x)> |
#<alt (* eps (+ x (* -1 (/ x eps))))> |
#<alt (* eps (+ x (* -1 (/ x eps))))> |
#<alt (* eps (+ x (* -1 (/ x eps))))> |
#<alt (* eps x)> |
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))> |
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))> |
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* x (+ 1 eps))))> |
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))> |
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 x))> |
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | 0 | (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
| 3.0ms | eps | @ | 0 | (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) |
| 1.0ms | x | @ | inf | (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
| 1.0ms | x | @ | 0 | (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
| 1.0ms | eps | @ | inf | (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
| 1× | batch-egg-rewrite |
| 3770× | /-lowering-/.f32 |
| 3770× | /-lowering-/.f64 |
| 3340× | *-lowering-*.f32 |
| 3340× | *-lowering-*.f64 |
| 2134× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 58 |
| 1 | 128 | 58 |
| 2 | 1108 | 58 |
| 0 | 8523 | 58 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) |
(exp (* x (+ eps -1))) |
(* x (+ eps -1)) |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) |
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) |
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) |
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))) |
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) |
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))) |
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(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))))) |
(*.f64 (/.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))) |
| 1× | egg-herbie |
| 4738× | *-lowering-*.f32 |
| 4738× | *-lowering-*.f64 |
| 4200× | +-lowering-+.f64 |
| 4200× | +-lowering-+.f32 |
| 1928× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 2119 |
| 1 | 943 | 1878 |
| 2 | 3546 | 1732 |
| 0 | 9553 | 1732 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))) |
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))) |
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))) |
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))) |
(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps)))))) |
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))) |
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))) |
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))) |
(- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) |
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) |
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) |
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) |
(+ 1/2 (* 1/2 (/ 1 eps))) |
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))) |
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))) |
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (+ (* 1/6 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))) |
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) |
(* 1/2 (/ (exp (* -1 x)) eps)) |
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps) |
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps) |
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps) |
(* 1/2 (exp (* x (- eps 1)))) |
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) |
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) |
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) |
(* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) |
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))) |
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))) |
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))) |
1 |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* -1 x) |
(+ (* -1 x) (* eps x)) |
(+ (* -1 x) (* eps x)) |
(+ (* -1 x) (* eps x)) |
(* eps x) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps x) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* -1 (* eps x)) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
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(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))) |
(*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))) |
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 1/6 binary64))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* x (- eps 1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* x (- eps 1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (* -1 x) (* eps x)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(+ (* -1 x) (* eps x)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(+ (* -1 x) (* eps x)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(* eps x) |
(*.f64 x eps) |
(* eps (+ x (* -1 (/ x eps)))) |
(*.f64 eps (-.f64 x (/.f64 x eps))) |
(* eps (+ x (* -1 (/ x eps)))) |
(*.f64 eps (-.f64 x (/.f64 x eps))) |
(* eps (+ x (* -1 (/ x eps)))) |
(*.f64 eps (-.f64 x (/.f64 x eps))) |
(* eps x) |
(*.f64 x eps) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(*.f64 eps (-.f64 x (/.f64 x eps))) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(*.f64 eps (-.f64 x (/.f64 x eps))) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(*.f64 eps (-.f64 x (/.f64 x eps))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal 1/2 binary64)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 x eps) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal -1/6 binary64)))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* eps x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x eps)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
(* -1 (* eps x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x eps)) |
(* -1 (* eps (+ x (/ x eps)))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
Compiled 20918 to 1286 computations (93.9% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 385 | 10 | 395 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 386 | 10 | 396 |
| Status | Accuracy | Program |
|---|---|---|
| 3.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (-.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) | |
| 34.6% | (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 30.7% | (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| ▶ | 35.7% | (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| 39.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) | |
| ▶ | 71.4% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
| 37.9% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) | |
| ▶ | 55.5% | (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
| ▶ | 98.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| ▶ | 37.9% | #s(literal 1 binary64) |
Compiled 772 to 374 computations (51.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 0 | (exp.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 768 | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 768 | (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
| ✓ | cost-diff | 768 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 eps #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 2140× | *-lowering-*.f32 |
| 2140× | *-lowering-*.f64 |
| 1880× | +-lowering-+.f64 |
| 1880× | +-lowering-+.f32 |
| 1344× | sum4-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 452 |
| 1 | 146 | 451 |
| 2 | 618 | 426 |
| 3 | 4521 | 418 |
| 4 | 7120 | 410 |
| 0 | 8012 | 410 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))) |
1/2 |
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))) |
(exp (* x (+ eps -1))) |
(* x (+ eps -1)) |
x |
(+ eps -1) |
eps |
-1 |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
(- -1 eps) |
1 |
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
1 |
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
x |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
(+ 1/2 (/ 1/2 eps)) |
1/2 |
(/ 1/2 eps) |
eps |
(+ eps -1) |
-1 |
(+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
(* x 1/2) |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) |
(* (+ eps -1) (+ eps -1)) |
(* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(- -1 eps) |
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) |
(+ 1 eps) |
(+ (/ 1/2 eps) -1/2) |
-1/2 |
(* (+ x 1) (exp (- 0 x))) |
(+ x 1) |
x |
1 |
(exp (- 0 x)) |
(- 0 x) |
0 |
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* 1 (+ (/ 1/2 eps) -1/2))) |
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) |
(exp (* x (+ eps -1))) |
(* x (+ eps -1)) |
x |
(+ eps -1) |
eps |
-1 |
(- 1/2 (/ -1/2 eps)) |
1/2 |
(/ -1/2 eps) |
-1/2 |
(* 1 (+ (/ 1/2 eps) -1/2)) |
1 |
(+ (/ 1/2 eps) -1/2) |
(/ 1/2 eps) |
| Outputs |
|---|
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))) |
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(exp (* x (+ eps -1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(* x (+ eps -1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
x |
(+ eps -1) |
(+.f64 eps #s(literal -1 binary64)) |
eps |
-1 |
#s(literal -1 binary64) |
(exp (* x (- -1 eps))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(* x (- -1 eps)) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps))))))) |
x |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)))))) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
(+ 1/2 (/ 1/2 eps)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 eps) |
(/.f64 #s(literal 1/2 binary64) eps) |
eps |
(+ eps -1) |
(+.f64 eps #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) eps)))))) |
(* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(* x 1/2) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(* (+ eps -1) (+ eps -1)) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) |
(* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) |
(+ 1 eps) |
(+.f64 eps #s(literal 1 binary64)) |
(+ (/ 1/2 eps) -1/2) |
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* (+ x 1) (exp (- 0 x))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(exp (- 0 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* 1 (+ (/ 1/2 eps) -1/2))) |
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) |
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) |
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
(exp (* x (+ eps -1))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(* x (+ eps -1)) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
x |
(+ eps -1) |
(+.f64 eps #s(literal -1 binary64)) |
eps |
-1 |
#s(literal -1 binary64) |
(- 1/2 (/ -1/2 eps)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
1/2 |
#s(literal 1/2 binary64) |
(/ -1/2 eps) |
(/.f64 #s(literal -1/2 binary64) eps) |
-1/2 |
#s(literal -1/2 binary64) |
(* 1 (+ (/ 1/2 eps) -1/2)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ (/ 1/2 eps) -1/2) |
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) |
(/ 1/2 eps) |
(/.f64 #s(literal 1/2 binary64) eps) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 eps #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
| ✓ | accuracy | 76.3% | (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
| ✓ | accuracy | 95.5% | (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
| ✓ | accuracy | 95.2% | (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
| ✓ | accuracy | 58.9% | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 57.7% | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 eps #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
| 89.0ms | 91× | 1 | valid |
| 56.0ms | 41× | 2 | valid |
| 44.0ms | 120× | 0 | valid |
| 15.0ms | 4× | 3 | valid |
Compiled 500 to 41 computations (91.8% saved)
ival-mult: 43.0ms (34.3% of total)backward-pass: 33.0ms (26.3% of total)ival-add: 21.0ms (16.8% of total)ival-exp: 11.0ms (8.8% of total)ival-sub: 9.0ms (7.2% of total)ival-div: 7.0ms (5.6% of total)const: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))> |
#<alt (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))> |
#<alt (exp (* x (+ eps -1)))> |
#<alt (* x (+ eps -1))> |
#<alt (+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))> |
#<alt (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))> |
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))> |
#<alt (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))> |
#<alt (* (+ x 1) (exp (- 0 x)))> |
#<alt (+ x 1)> |
#<alt (exp (- 0 x))> |
#<alt (- 0 x)> |
#<alt (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* 1 (+ (/ 1/2 eps) -1/2)))> |
#<alt (* 1 (+ (/ 1/2 eps) -1/2))> |
#<alt (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))> |
#<alt (exp (* x (- -1 eps)))> |
#<alt (* x (- -1 eps))> |
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))> |
#<alt (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))> |
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))> |
#<alt (exp (* -1 x))> |
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))> |
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#<alt (/ (+ 1/2 (* -1/2 (* eps x))) eps)> |
#<alt (/ (+ 1/2 (* eps (+ (* -1/2 eps) (* -1/2 x)))) eps)> |
#<alt (/ (+ 1/2 (* eps (+ (* -1/2 x) (* eps (- (* 1/2 (* eps x)) 1/2))))) eps)> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ 1 (pow eps 3))))) (* 1/2 (/ 1 eps))))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 eps))))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* 1/2 (/ x eps))) eps)) (* 1/2 x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ 1 eps))) eps))) eps)) (* 1/2 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))> |
#<alt (* x (exp (neg x)))> |
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))> |
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))> |
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))> |
#<alt (* x (exp (* -1 x)))> |
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt 1> |
#<alt (+ 1 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))> |
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))> |
#<alt (- (+ 1/2 (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ 1 eps)))> |
#<alt (/ (- (* 1/2 (exp (* -1 x))) 1/2) eps)> |
#<alt (/ (- (+ (* 1/2 (exp (* -1 x))) (* eps (+ 1/2 (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x)))))))) 1/2) eps)> |
#<alt (/ (- (+ (* 1/2 (exp (* -1 x))) (* eps (+ 1/2 (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x))))))))))) 1/2) eps)> |
#<alt (/ (- (+ (* 1/2 (exp (* -1 x))) (* eps (+ 1/2 (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x)))))))))))))) 1/2) eps)> |
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))> |
#<alt (- (+ 1/2 (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))) (* 1/2 (/ 1 eps)))> |
#<alt (- (+ 1/2 (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))) (* 1/2 (/ 1 eps)))> |
#<alt (+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))))> |
#<alt (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))))> |
#<alt (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))))> |
#<alt (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))))> |
#<alt (/ 1/2 eps)> |
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)> |
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)> |
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)> |
#<alt -1/2> |
#<alt (- (* 1/2 (/ 1 eps)) 1/2)> |
#<alt (- (* 1/2 (/ 1 eps)) 1/2)> |
#<alt (- (* 1/2 (/ 1 eps)) 1/2)> |
#<alt -1/2> |
#<alt (- (* 1/2 (/ 1 eps)) 1/2)> |
#<alt (- (* 1/2 (/ 1 eps)) 1/2)> |
#<alt (- (* 1/2 (/ 1 eps)) 1/2)> |
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))> |
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (+ (* 1/6 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))> |
#<alt (* 1/2 (/ (exp (* -1 x)) eps))> |
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)> |
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)> |
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)> |
#<alt (* 1/2 (exp (* x (- eps 1))))> |
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))> |
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))> |
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))> |
#<alt (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))> |
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))> |
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))> |
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* x (+ 1 eps))))> |
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))> |
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 x))> |
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))> |
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* -1 (* x (+ 1 eps))))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (+ (* -1 x) (* -1 (* eps x)))> |
#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt -1> |
#<alt (- (pow eps 2) 1)> |
#<alt (- (pow eps 2) 1)> |
#<alt (- (pow eps 2) 1)> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* -1/2 x)> |
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))> |
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))> |
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
| 4.0ms | x | @ | 0 | (+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 4.0ms | eps | @ | 0 | (+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 2.0ms | eps | @ | inf | (+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 1.0ms | eps | @ | -inf | (+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 1× | batch-egg-rewrite |
| 2670× | fma-lowering-fma.f32 |
| 2670× | fma-lowering-fma.f64 |
| 1898× | *-lowering-*.f32 |
| 1898× | *-lowering-*.f64 |
| 1736× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 326 |
| 1 | 323 | 324 |
| 2 | 3568 | 324 |
| 0 | 8026 | 324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))) |
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))) |
(exp (* x (+ eps -1))) |
(* x (+ eps -1)) |
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(+ (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(* (+ x 1) (exp (- 0 x))) |
(+ x 1) |
(exp (- 0 x)) |
(- 0 x) |
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* 1 (+ (/ 1/2 eps) -1/2))) |
(* 1 (+ (/ 1/2 eps) -1/2)) |
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) x) |
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) x) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 3816× | *-lowering-*.f32 |
| 3816× | *-lowering-*.f64 |
| 2606× | +-lowering-+.f64 |
| 2606× | +-lowering-+.f32 |
| 1704× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 429 | 5915 |
| 1 | 1505 | 5183 |
| 2 | 5775 | 4918 |
| 0 | 8451 | 4918 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1))))) |
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
2 |
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1))) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(* 2 (exp (* -1 x))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
1 |
(+ 1 (* x (- eps 1))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* x (- eps 1))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(exp (* -1 (* x (+ 1 (* -1 eps))))) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* x (- eps 1)) |
(* -1 x) |
(+ (* -1 x) (* eps x)) |
(+ (* -1 x) (* eps x)) |
(+ (* -1 x) (* eps x)) |
(* eps x) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps (+ x (* -1 (/ x eps)))) |
(* eps x) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
(* -1 (* eps (+ (* -1 x) (/ x eps)))) |
1 |
(+ 1 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(* 1/2 (* (pow x 2) (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
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(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps) |
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps) |
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps) |
(* 1/2 (exp (* x (- eps 1)))) |
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) |
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) |
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) |
(* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) |
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))) |
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))) |
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps))) |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* -1 (* eps x)) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
-1 |
(- (pow eps 2) 1) |
(- (pow eps 2) 1) |
(- (pow eps 2) 1) |
(pow eps 2) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(pow eps 2) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* -1/2 x) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x))) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 (*.f64 eps (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) eps))) |
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 (*.f64 eps (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) eps))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))) |
(+.f64 (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))) #s(literal -1 binary64)))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(* 2 (exp (* -1 x))) |
(/.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 0 binary64)) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x))))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 eps (/.f64 (*.f64 eps (*.f64 x x)) (exp.f64 x)))) |
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 eps (/.f64 (*.f64 eps (*.f64 x x)) (exp.f64 x)))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (- eps 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 eps #s(literal -1 binary64))))) |
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))) |
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(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
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(-.f64 #s(literal 0 binary64) x) |
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(-.f64 #s(literal 0 binary64) x) |
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(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x eps) (exp.f64 x))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (-.f64 (*.f64 (*.f64 eps (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (/.f64 x (exp.f64 x))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 eps (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) (exp.f64 x))))) (/.f64 x (exp.f64 x))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* x (+ 1 eps))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(+ (* -1 x) (* -1 (* eps x))) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(* -1 (* eps x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x eps)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(*.f64 eps (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(*.f64 eps (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(*.f64 eps (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(* -1 (* eps x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x eps)) |
(* -1 (* eps (+ x (/ x eps)))) |
(*.f64 eps (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(*.f64 eps (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(*.f64 eps (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))) |
-1 |
#s(literal -1 binary64) |
(- (pow eps 2) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(- (pow eps 2) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(- (pow eps 2) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(+.f64 #s(literal -1 binary64) (*.f64 eps eps)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) x)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))) |
Compiled 36262 to 2162 computations (94% saved)
29 alts after pruning (28 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 856 | 27 | 883 |
| Fresh | 4 | 1 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 864 | 29 | 893 |
| Status | Accuracy | Program |
|---|---|---|
| 55.6% | (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) | |
| 44.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) | |
| 20.0% | (/.f64 x (exp.f64 x)) | |
| 3.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) | |
| 29.7% | (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 30.5% | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 58.5% | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) | |
| 37.1% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) | |
| 66.7% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) | |
| 70.6% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) | |
| ▶ | 39.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) |
| 73.1% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) | |
| ▶ | 55.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
| 57.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) | |
| 44.8% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) | |
| 37.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) | |
| 37.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) | |
| 71.4% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) | |
| 59.7% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) | |
| 36.9% | (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| 37.1% | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) | |
| ▶ | 44.8% | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
| ▶ | 37.4% | (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 31.8% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 54.6% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))))) | |
| ▶ | 81.3% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 58.6% | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 68.5% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) | |
| ✓ | 37.9% | #s(literal 1 binary64) |
Compiled 1433 to 787 computations (45.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x eps) |
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 x eps)) |
| ✓ | cost-diff | 0 | (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 2624× | *-lowering-*.f32 |
| 2624× | *-lowering-*.f64 |
| 2478× | +-lowering-+.f64 |
| 2478× | +-lowering-+.f32 |
| 1764× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 825 |
| 1 | 201 | 810 |
| 2 | 979 | 783 |
| 3 | 7838 | 782 |
| 0 | 8013 | 782 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps))))) |
1/2 |
(+ (exp (* x eps)) (exp (* x (- -1 eps)))) |
(exp (* x eps)) |
(* x eps) |
x |
eps |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
(- -1 eps) |
-1 |
(* (+ x 1) 1) |
(+ x 1) |
x |
1 |
(* (+ x 1) (+ 1 (* x (+ -1 (* 1/2 x))))) |
(+ x 1) |
x |
1 |
(+ 1 (* x (+ -1 (* 1/2 x)))) |
(* x (+ -1 (* 1/2 x))) |
(+ -1 (* 1/2 x)) |
-1 |
(* 1/2 x) |
1/2 |
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps)))))))) |
1 |
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps))))))) |
x |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps)))))) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
(+ 1/2 (/ 1/2 eps)) |
1/2 |
(/ 1/2 eps) |
eps |
(+ eps -1) |
-1 |
(* eps (* eps (* 1/2 (- x (/ 1 eps))))) |
(* eps (* 1/2 (- x (/ 1 eps)))) |
(* 1/2 (- x (/ 1 eps))) |
(- x (/ 1 eps)) |
(/ 1 eps) |
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))))) |
1 |
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))))) |
x |
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
(+ 1/2 (/ 1/2 eps)) |
1/2 |
(/ 1/2 eps) |
eps |
(+ eps -1) |
-1 |
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) |
(+ 1 eps) |
(+ (/ 1/2 eps) -1/2) |
-1/2 |
(* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))) |
(+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
(* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) |
(* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps)))))) |
1/6 |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))) |
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) |
(* (+ eps -1) (* (+ eps -1) (+ eps -1))) |
(* (+ eps -1) (+ eps -1)) |
(* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps)))) |
(* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))) |
(* (+ 1 eps) (+ 1 eps)) |
(* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) |
(* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(- -1 eps) |
| Outputs |
|---|
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (exp (* x eps)) (exp (* x (- -1 eps)))) |
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(exp (* x eps)) |
(exp.f64 (*.f64 x eps)) |
(* x eps) |
(*.f64 x eps) |
x |
eps |
(exp (* x (- -1 eps))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(* x (- -1 eps)) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
-1 |
#s(literal -1 binary64) |
(* (+ x 1) 1) |
(+.f64 x #s(literal 1 binary64)) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(* (+ x 1) (+ 1 (* x (+ -1 (* 1/2 x))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ -1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(* x (+ -1 (* 1/2 x))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+ -1 (* 1/2 x)) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps)))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))))) |
x |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps)))))) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) |
(+ 1/2 (/ 1/2 eps)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 eps) |
(/.f64 #s(literal 1/2 binary64) eps) |
eps |
(+ eps -1) |
(+.f64 eps #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* eps (* eps (* 1/2 (- x (/ 1 eps))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps))))) |
(* eps (* 1/2 (- x (/ 1 eps)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 x (/.f64 #s(literal -1 binary64) eps)))) |
(* 1/2 (- x (/ 1 eps))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 #s(literal -1 binary64) eps))) |
(- x (/ 1 eps)) |
(+.f64 x (/.f64 #s(literal -1 binary64) eps)) |
(/ 1 eps) |
(/.f64 #s(literal 1 binary64) eps) |
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))))) |
(*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))))) |
x |
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))) |
(+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) |
(+ 1/2 (/ 1/2 eps)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 eps) |
(/.f64 #s(literal 1/2 binary64) eps) |
eps |
(+ eps -1) |
(+.f64 eps #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
(+ 1 eps) |
(+.f64 eps #s(literal 1 binary64)) |
(+ (/ 1/2 eps) -1/2) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))) |
(+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) |
(* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) |
(*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps)))))) |
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) |
1/6 |
#s(literal 1/6 binary64) |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))) |
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) |
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) |
(* (+ eps -1) (* (+ eps -1) (+ eps -1))) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) |
(* (+ eps -1) (+ eps -1)) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) |
(* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps)))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) |
(* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(* (+ 1 eps) (+ 1 eps)) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) |
(* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) |
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) |
(* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.1% | (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) |
| ✓ | accuracy | 89.3% | (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
| ✓ | accuracy | 58.9% | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 6.0% | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) |
| ✓ | accuracy | 99.9% | (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps))) |
| ✓ | accuracy | 95.0% | (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps))))))) |
| ✓ | accuracy | 91.4% | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 99.9% | (exp.f64 (*.f64 x eps)) |
| 516.0ms | 222× | 2 | valid |
| 66.0ms | 31× | 1 | valid |
| 7.0ms | 3× | 3 | valid |
Compiled 985 to 56 computations (94.3% saved)
ival-mult: 137.0ms (43.7% of total)ival-add: 75.0ms (23.9% of total)backward-pass: 56.0ms (17.8% of total)...c/correct-round.rkt:119:19: 14.0ms (4.5% of total)ival-div: 14.0ms (4.5% of total)ival-exp: 8.0ms (2.5% of total)ival-sub: 8.0ms (2.5% of total)const: 2.0ms (0.6% of total)| Inputs |
|---|
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))> |
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))> |
#<alt (exp (* x eps))> |
#<alt (* x eps)> |
#<alt (* (+ x 1) 1)> |
#<alt (+ x 1)> |
#<alt (* (+ x 1) (+ 1 (* x (+ -1 (* 1/2 x)))))> |
#<alt (+ 1 (* x (+ -1 (* 1/2 x))))> |
#<alt (* x (+ -1 (* 1/2 x)))> |
#<alt (+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps))))))))> |
#<alt (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps)))))))> |
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps))))))> |
#<alt (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))> |
#<alt (+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))))))> |
#<alt (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))))> |
#<alt (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))))> |
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))> |
#<alt (exp (* x (- -1 eps)))> |
#<alt (* x (- -1 eps))> |
#<alt (* 1/2 x)> |
#<alt (+ -1 (* 1/2 x))> |
#<alt (* 1/2 (- x (/ 1 eps)))> |
#<alt (* eps (* 1/2 (- x (/ 1 eps))))> |
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps)))))> |
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))> |
#<alt (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))> |
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))> |
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ 1 (exp (* -1 x))))> |
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))> |
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))> |
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))> |
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))> |
#<alt 2> |
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))> |
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))> |
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ 1 (exp (* -1 x)))> |
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))> |
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))> |
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))> |
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))> |
#<alt 1> |
#<alt (+ 1 (* eps x))> |
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))> |
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt 1> |
#<alt (+ 1 (* eps x))> |
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))> |
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (exp (* eps x))> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt (* eps x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* x (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))> |
#<alt (+ 1 (* x (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))> |
#<alt (+ 1 (* x (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))) (/ 1 x)) x)) (* 1/2 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))) (/ 1 x)) x)) (* 1/2 (pow eps 2))))> |
#<alt (* -1/2 (/ x eps))> |
#<alt (/ (+ eps (* -1/2 x)) eps)> |
#<alt (/ (+ (* -1/2 x) (* eps (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) eps)> |
#<alt (/ (+ (* -1/2 x) (* eps (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) eps)> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
#<alt (* x (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))> |
#<alt (* x (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))> |
#<alt (* x (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))> |
#<alt (* x (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* -1/2 (/ x eps))> |
#<alt (/ (+ (* -1/2 x) (* 1/2 (* (pow eps 3) (pow x 2)))) eps)> |
#<alt (/ (+ (* -1/2 x) (* 1/2 (* (pow eps 3) (pow x 2)))) eps)> |
#<alt (/ (+ (* -1/2 x) (* 1/2 (* (pow eps 3) (pow x 2)))) eps)> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (* 1/2 (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (* 1/2 (pow x 2))))> |
#<alt (/ -1/2 eps)> |
#<alt (/ (- (* 1/2 (* (pow eps 3) x)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (* (pow eps 3) x)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (* (pow eps 3) x)) 1/2) eps)> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 (pow eps 3)))))> |
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 (pow eps 3)))))> |
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 (pow eps 3)))))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 (pow eps 3)))))> |
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 (pow eps 3)))))> |
#<alt (* (pow eps 2) (- (* 1/2 x) (* 1/2 (/ 1 (pow eps 3)))))> |
#<alt (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))> |
#<alt (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))> |
#<alt (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))> |
#<alt (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* x (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* x (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* x (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) x)) (* -1/2 (pow eps 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) x)) (* -1/2 (pow eps 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) x)) (* -1/2 (pow eps 2)))))> |
#<alt (/ -1/2 eps)> |
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)> |
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#<alt (* x (- 1/2 (* 1/2 (/ 1 (* eps x)))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (* eps x))) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (* eps x))) 1/2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (* eps x))) 1/2)))> |
#<alt (/ -1/2 eps)> |
#<alt (/ (- (* 1/2 (* eps x)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (* eps x)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (* eps x)) 1/2) eps)> |
#<alt (* 1/2 x)> |
#<alt (- (* 1/2 x) (* 1/2 (/ 1 eps)))> |
#<alt (- (* 1/2 x) (* 1/2 (/ 1 eps)))> |
#<alt (- (* 1/2 x) (* 1/2 (/ 1 eps)))> |
#<alt (* 1/2 x)> |
#<alt (- (* 1/2 x) (* 1/2 (/ 1 eps)))> |
#<alt (- (* 1/2 x) (* 1/2 (/ 1 eps)))> |
#<alt (- (* 1/2 x) (* 1/2 (/ 1 eps)))> |
#<alt -1/2> |
#<alt (- (* 1/2 (* eps x)) 1/2)> |
#<alt (- (* 1/2 (* eps x)) 1/2)> |
#<alt (- (* 1/2 (* eps x)) 1/2)> |
#<alt (* 1/2 (* eps x))> |
#<alt (* eps (- (* 1/2 x) (* 1/2 (/ 1 eps))))> |
#<alt (* eps (- (* 1/2 x) (* 1/2 (/ 1 eps))))> |
#<alt (* eps (- (* 1/2 x) (* 1/2 (/ 1 eps))))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ 1 eps)))))> |
#<alt (* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ 1 eps)))))> |
#<alt (* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ 1 eps)))))> |
#<alt -1/2> |
#<alt (- (* 1/2 (* eps x)) 1/2)> |
#<alt (- (* 1/2 (* eps x)) 1/2)> |
#<alt (- (* 1/2 (* eps x)) 1/2)> |
#<alt (* 1/2 (* eps x))> |
#<alt (* x (- (* 1/2 eps) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 1/2 eps) (* 1/2 (/ 1 x))))> |
#<alt (* x (- (* 1/2 eps) (* 1/2 (/ 1 x))))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* -1 (* x (+ (* -1/2 eps) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/2 eps) (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/2 eps) (* 1/2 (/ 1 x)))))> |
#<alt 2> |
#<alt (+ 2 (* -2 (pow eps 2)))> |
#<alt (+ 2 (* -2 (pow eps 2)))> |
#<alt (+ 2 (* -2 (pow eps 2)))> |
#<alt (* -2 (pow eps 2))> |
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2))> |
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2))> |
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2))> |
#<alt (* -2 (pow eps 2))> |
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2))> |
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2))> |
#<alt (* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2))> |
#<alt -1> |
#<alt (- (pow eps 2) 1)> |
#<alt (- (pow eps 2) 1)> |
#<alt (- (pow eps 2) 1)> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (pow eps 2)> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))> |
#<alt (+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))> |
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))> |
#<alt (* x (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))> |
#<alt (* x (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))> |
#<alt (* x (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))> |
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))> |
#<alt (* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))> |
#<alt (* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))> |
#<alt (* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2)> |
#<alt (- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2)> |
#<alt (- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2)> |
#<alt (* (pow eps 2) (+ 1/2 (* -1/3 x)))> |
#<alt (* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ 1/2 (* -1/3 x)))> |
#<alt (* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 69.0ms | eps | @ | -inf | (+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))))) |
| 6.0ms | x | @ | -inf | (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps))))) |
| 5.0ms | x | @ | 0 | (* x (+ -1 (* 1/2 x))) |
| 2.0ms | eps | @ | 0 | (+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))))) |
| 2.0ms | eps | @ | inf | (+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))))) |
| 1× | batch-egg-rewrite |
| 2808× | *-lowering-*.f32 |
| 2808× | *-lowering-*.f64 |
| 1816× | sum4-define |
| 1540× | sum3-define |
| 1534× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 522 |
| 1 | 410 | 508 |
| 2 | 4885 | 508 |
| 0 | 8171 | 508 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps))))) |
(+ (exp (* x eps)) (exp (* x (- -1 eps)))) |
(exp (* x eps)) |
(* x eps) |
(* (+ x 1) 1) |
(+ x 1) |
(* (+ x 1) (+ 1 (* x (+ -1 (* 1/2 x))))) |
(+ 1 (* x (+ -1 (* 1/2 x)))) |
(* x (+ -1 (* 1/2 x))) |
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps)))))))) |
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps))))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* eps (* eps (* 1/2 (- x (/ 1 eps)))))) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))))) |
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))))) |
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
(* 1/2 x) |
(+ -1 (* 1/2 x)) |
(* 1/2 (- x (/ 1 eps))) |
(* eps (* 1/2 (- x (/ 1 eps)))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) |
(+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (* (+ 1 eps) (+ 1 eps))))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (- -1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(-.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
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(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
| 1× | egg-herbie |
| 5104× | *-lowering-*.f32 |
| 5104× | *-lowering-*.f64 |
| 2786× | +-lowering-+.f64 |
| 2786× | +-lowering-+.f32 |
| 1446× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 7145 |
| 1 | 1646 | 6376 |
| 2 | 6657 | 6265 |
| 0 | 8133 | 6265 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps)))))) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps))))))) |
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ 1 (exp (* -1 x)))) |
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x))))) |
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x))))))))) |
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
2 |
(+ 2 (* x (+ eps (* -1 (+ 1 eps))))) |
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))) |
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))))))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ 1 (exp (* -1 x))) |
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x)))))))) |
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))))))) |
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3)))))))))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
1 |
(+ 1 (* eps x)) |
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x))))) |
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2))))))) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
1 |
(+ 1 (* eps x)) |
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2)))))) |
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2))))))) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(exp (* eps x)) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
(* eps x) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/2 x) 1/2))) |
(+ 1 (* (pow x 2) (- (* 1/2 x) 1/2))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) |
(* 1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
1 |
(+ 1 (* x (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))) |
(+ 1 (* x (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))) |
(+ 1 (* x (+ (* -1/2 eps) (+ (* 1/2 (* (pow eps 2) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))) |
(* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))) |
(* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* -1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))) (/ 1 x)) x)) (* 1/2 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (+ (* -1/2 eps) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))) (/ 1 x)) x)) (* 1/2 (pow eps 2)))) |
(* -1/2 (/ x eps)) |
(/ (+ eps (* -1/2 x)) eps) |
(/ (+ (* -1/2 x) (* eps (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) eps) |
(/ (+ (* -1/2 x) (* eps (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) eps) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
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(/ (+ (* -1/2 x) (* 1/2 (* (pow eps 3) (pow x 2)))) eps) |
(/ (+ (* -1/2 x) (* 1/2 (* (pow eps 3) (pow x 2)))) eps) |
(/ (+ (* -1/2 x) (* 1/2 (* (pow eps 3) (pow x 2)))) eps) |
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(/ (- (* 1/2 (* (pow eps 3) x)) 1/2) eps) |
(/ (- (* 1/2 (* (pow eps 3) x)) 1/2) eps) |
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(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
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1 |
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (/ 1 x)) x)) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
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(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) |
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(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2))))) |
(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) |
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(* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)))))) |
(* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)))))) |
(* 1/6 (* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))) |
(+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))) |
(+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))) |
(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) |
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))) |
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))) |
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))) |
(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) |
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(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))) |
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))) |
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(+ (* x (- (* 1/3 x) 1/2)) (* (pow eps 2) (* x (+ 1/2 (* -1/3 x))))) |
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(* (pow eps 2) (* x (+ 1/2 (* -1/3 x)))) |
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(* (pow eps 2) (+ (* x (+ 1/2 (* -1/3 x))) (/ (* x (- (* 1/3 x) 1/2)) (pow eps 2)))) |
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/3 x))) (/ (* x (- (* 1/3 x) 1/2)) (pow eps 2)))) |
(* (pow eps 2) (* x (+ 1/2 (* -1/3 x)))) |
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/3 x))) (/ (* x (- (* 1/3 x) 1/2)) (pow eps 2)))) |
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(* (pow x 2) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)))))) |
(* 1/6 (* (pow x 2) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) |
(* (pow x 2) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* -1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) x)) (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* -1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) x)) (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
(+ 1 (* -1 (* x (+ 1 eps)))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(exp (* x (- (* -1 eps) 1))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 (* x (+ 1 eps))) |
(* -1 x) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(+ (* -1 x) (* -1 (* eps x))) |
(* -1 (* eps x)) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* eps (+ (* -1 x) (* -1 (/ x eps)))) |
(* -1 (* eps x)) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(* -1 (* eps (+ x (/ x eps)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
-1 |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* 1/2 x) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(/ -1/2 eps) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
(* 1/2 x) |
(* x (- 1/2 (* 1/2 (/ 1 (* eps x))))) |
(* x (- 1/2 (* 1/2 (/ 1 (* eps x))))) |
(* x (- 1/2 (* 1/2 (/ 1 (* eps x))))) |
(* 1/2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (* eps x))) 1/2))) |
(* -1 (* x (- (* 1/2 (/ 1 (* eps x))) 1/2))) |
(* -1 (* x (- (* 1/2 (/ 1 (* eps x))) 1/2))) |
(/ -1/2 eps) |
(/ (- (* 1/2 (* eps x)) 1/2) eps) |
(/ (- (* 1/2 (* eps x)) 1/2) eps) |
(/ (- (* 1/2 (* eps x)) 1/2) eps) |
(* 1/2 x) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
(* 1/2 x) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
(- (* 1/2 x) (* 1/2 (/ 1 eps))) |
-1/2 |
(- (* 1/2 (* eps x)) 1/2) |
(- (* 1/2 (* eps x)) 1/2) |
(- (* 1/2 (* eps x)) 1/2) |
(* 1/2 (* eps x)) |
(* eps (- (* 1/2 x) (* 1/2 (/ 1 eps)))) |
(* eps (- (* 1/2 x) (* 1/2 (/ 1 eps)))) |
(* eps (- (* 1/2 x) (* 1/2 (/ 1 eps)))) |
(* 1/2 (* eps x)) |
(* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ 1 eps))))) |
(* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ 1 eps))))) |
(* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ 1 eps))))) |
-1/2 |
(- (* 1/2 (* eps x)) 1/2) |
(- (* 1/2 (* eps x)) 1/2) |
(- (* 1/2 (* eps x)) 1/2) |
(* 1/2 (* eps x)) |
(* x (- (* 1/2 eps) (* 1/2 (/ 1 x)))) |
(* x (- (* 1/2 eps) (* 1/2 (/ 1 x)))) |
(* x (- (* 1/2 eps) (* 1/2 (/ 1 x)))) |
(* 1/2 (* eps x)) |
(* -1 (* x (+ (* -1/2 eps) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1/2 eps) (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ (* -1/2 eps) (* 1/2 (/ 1 x))))) |
2 |
(+ 2 (* -2 (pow eps 2))) |
(+ 2 (* -2 (pow eps 2))) |
(+ 2 (* -2 (pow eps 2))) |
(* -2 (pow eps 2)) |
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2)) |
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2)) |
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2)) |
(* -2 (pow eps 2)) |
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2)) |
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2)) |
(* (pow eps 2) (- (* 2 (/ 1 (pow eps 2))) 2)) |
-1 |
(- (pow eps 2) 1) |
(- (pow eps 2) 1) |
(- (pow eps 2) 1) |
(pow eps 2) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(pow eps 2) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) |
(+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) |
(* x (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)))) |
(* x (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)))) |
(* x (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)))) |
(* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) |
(* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(- (* 1/3 x) 1/2) |
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2) |
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2) |
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2) |
(* (pow eps 2) (+ 1/2 (* -1/3 x))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ 1/2 (* -1/3 x))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) |
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) |
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ 1 (exp (* -1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))))))) |
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x))))))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x)) eps))))) |
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x (+ eps (* -1 (+ 1 eps))))) |
(+.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) |
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) |
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))))))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))))))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ 1 (exp (* -1 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x)))))))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))))) |
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(* 1/6 (* (pow x 2) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) |
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* -1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) x)) (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* -1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) x)) (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
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0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* x (+ 1 eps)))) |
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(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))) |
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(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))) |
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(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))) |
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 x eps) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) |
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))) |
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(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* -1 (* x (+ 1 eps)))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(exp (* x (- (* -1 eps) 1))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(* -1 (* x (+ 1 eps))) |
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(* -1 (* x (+ 1 eps))) |
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(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(* x (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(* x (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) |
(*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 x #s(literal 1/6 binary64))) |
(* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(- (* 1/3 x) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2) |
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow eps 2) (+ 1/2 (* -1/3 x))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (+ 1/2 (* -1/3 x))) |
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 eps eps)))) |
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 eps eps)))) |
Compiled 53269 to 2553 computations (95.2% saved)
38 alts after pruning (36 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 956 | 20 | 976 |
| Fresh | 7 | 16 | 23 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 967 | 38 | 1005 |
| Status | Accuracy | Program |
|---|---|---|
| 59.1% | (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) | |
| 55.6% | (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) | |
| 23.6% | (/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) | |
| 44.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) | |
| 46.9% | (/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) | |
| 42.4% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) | |
| 2.7% | (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) | |
| 20.0% | (/.f64 x (exp.f64 x)) | |
| 3.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) | |
| 29.7% | (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 30.5% | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 37.4% | (+.f64 x #s(literal 1 binary64)) | |
| 30.1% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps))))) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))))) | |
| 37.1% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) | |
| 58.7% | (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) | |
| 23.6% | (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) | |
| 60.6% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))) | |
| 57.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) | |
| 44.8% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) | |
| 37.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) | |
| ▶ | 37.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) |
| ▶ | 71.4% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
| ▶ | 44.8% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
| 37.1% | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) | |
| 38.5% | (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) | |
| 25.4% | (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) | |
| 9.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) | |
| ▶ | 31.8% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| 55.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 54.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))))) | |
| ✓ | 81.3% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 59.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) | |
| 58.6% | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 45.9% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) | |
| 9.6% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) | |
| 68.5% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) | |
| ▶ | 2.9% | x |
| ✓ | 37.9% | #s(literal 1 binary64) |
Compiled 1538 to 900 computations (41.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 640 | (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))))))) |
| ✓ | cost-diff | 640 | (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))) |
| ✓ | cost-diff | 640 | (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))))))))) |
| ✓ | cost-diff | 640 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
| 2784× | +-lowering-+.f64 |
| 2784× | +-lowering-+.f32 |
| 2098× | *-lowering-*.f32 |
| 2098× | *-lowering-*.f64 |
| 1432× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 486 |
| 1 | 171 | 449 |
| 2 | 769 | 400 |
| 3 | 3930 | 396 |
| 4 | 5906 | 395 |
| 0 | 8072 | 395 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* x (* 1/2 (* x (* eps eps))))) |
1 |
(* x (* 1/2 (* x (* eps eps)))) |
x |
(* 1/2 (* x (* eps eps))) |
1/2 |
(* x (* eps eps)) |
(* eps eps) |
eps |
x |
(* eps (* eps (* 1/2 (* x x)))) |
eps |
(* eps (* 1/2 (* x x))) |
(* 1/2 (* x x)) |
1/2 |
(* x x) |
x |
(* (/ (- 1 (* x x)) (- 1 x)) (+ 1 (* x (+ -1 (* 1/2 x))))) |
(/ (- 1 (* x x)) (- 1 x)) |
(- 1 (* x x)) |
1 |
(* x x) |
x |
(- 1 x) |
(+ 1 (* x (+ -1 (* 1/2 x)))) |
(* x (+ -1 (* 1/2 x))) |
(+ -1 (* 1/2 x)) |
-1 |
(* 1/2 x) |
1/2 |
(+ 1 (* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))))) |
1 |
(* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))))) |
x |
(* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))) |
1/2 |
(+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))) |
(+ eps (+ -1 (- -1 eps))) |
eps |
(+ -1 (- -1 eps)) |
-1 |
(- -1 eps) |
(* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))) |
(+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))) |
(* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) |
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1))) |
(* (+ 1 eps) (+ 1 eps)) |
(+ 1 eps) |
(* (+ eps -1) (+ eps -1)) |
(+ eps -1) |
(* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))) |
(+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))) |
(* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) |
(* (+ 1 eps) -1/6) |
-1/6 |
(* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)) |
(* (* (+ eps -1) (+ eps -1)) 1/6) |
1/6 |
| Outputs |
|---|
(+ 1 (* x (* 1/2 (* x (* eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
1 |
#s(literal 1 binary64) |
(* x (* 1/2 (* x (* eps eps)))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
x |
(* 1/2 (* x (* eps eps))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* eps eps)) |
(*.f64 x (*.f64 eps eps)) |
(* eps eps) |
(*.f64 eps eps) |
eps |
x |
(* eps (* eps (* 1/2 (* x x)))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
eps |
(* eps (* 1/2 (* x x))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) |
(* 1/2 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* (/ (- 1 (* x x)) (- 1 x)) (+ 1 (* x (+ -1 (* 1/2 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/ (- 1 (* x x)) (- 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(- 1 (* x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(* x x) |
(*.f64 x x) |
x |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ -1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(* x (+ -1 (* 1/2 x))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(+ -1 (* 1/2 x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
-1 |
#s(literal -1 binary64) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1 (* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))))))) |
1 |
#s(literal 1 binary64) |
(* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))))))) |
x |
(* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))) |
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))))) |
(+ eps (+ -1 (- -1 eps))) |
#s(literal -2 binary64) |
eps |
(+ -1 (- -1 eps)) |
(-.f64 #s(literal -2 binary64) eps) |
-1 |
#s(literal -1 binary64) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
(* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))))) |
(+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))) |
(* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)))) |
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1))) |
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) |
(* (+ 1 eps) (+ 1 eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) |
(+ 1 eps) |
(+.f64 #s(literal 1 binary64) eps) |
(* (+ eps -1) (+ eps -1)) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) |
(+ eps -1) |
(+.f64 eps #s(literal -1 binary64)) |
(* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))) |
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) |
(+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))) |
(* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)))) |
(* (+ 1 eps) -1/6) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) |
(* (* (+ eps -1) (+ eps -1)) 1/6) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.1% | (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))))))))) |
| ✓ | accuracy | 89.3% | (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))))) |
| ✓ | accuracy | 48.9% | (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 47.1% | (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
| ✓ | accuracy | 77.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 96.9% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 87.9% | (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) |
| ✓ | accuracy | 92.9% | (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))) |
| ✓ | accuracy | 92.4% | (*.f64 x (*.f64 eps eps)) |
| 225.0ms | 134× | 1 | valid |
| 53.0ms | 120× | 0 | valid |
| 3.0ms | 2× | 2 | valid |
Compiled 643 to 46 computations (92.8% saved)
ival-mult: 58.0ms (47.3% of total)ival-add: 21.0ms (17.1% of total)backward-pass: 19.0ms (15.5% of total)...c/correct-round.rkt:119:19: 15.0ms (12.2% of total)ival-sub: 6.0ms (4.9% of total)ival-div: 3.0ms (2.4% of total)const: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (+ 1 (* x (* 1/2 (* x (* eps eps)))))> |
#<alt (* x (* 1/2 (* x (* eps eps))))> |
#<alt (* 1/2 (* x (* eps eps)))> |
#<alt (* x (* eps eps))> |
#<alt (* eps (* eps (* 1/2 (* x x))))> |
#<alt (* eps (* 1/2 (* x x)))> |
#<alt (* 1/2 (* x x))> |
#<alt (* x x)> |
#<alt (* (/ (- 1 (* x x)) (- 1 x)) (+ 1 (* x (+ -1 (* 1/2 x)))))> |
#<alt (/ (- 1 (* x x)) (- 1 x))> |
#<alt (- 1 (* x x))> |
#<alt (+ 1 (* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))))))> |
#<alt (* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))))> |
#<alt (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))))> |
#<alt (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))> |
#<alt (* eps eps)> |
#<alt (* x (+ -1 (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))> |
#<alt (+ eps (+ -1 (- -1 eps)))> |
#<alt (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* (pow eps 2) x)> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (* eps (pow x 2)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1)))> |
#<alt (+ 1 (* x (- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1)))> |
#<alt (* 1/2 (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (* (pow x 3) (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))> |
#<alt (* (pow x 3) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (+ (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))> |
#<alt (* 1/2 (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- 1 (/ 1 x)) x)) (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) x)) (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))> |
#<alt (+ 1 (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))> |
#<alt (+ 1 (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))))> |
#<alt (+ 1 (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))))> |
#<alt (+ 1 (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))))> |
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2)))))> |
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2)))))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1))> |
#<alt (* x (- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1))> |
#<alt (* x (- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1))> |
#<alt (* 1/2 (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (* (pow x 3) (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))> |
#<alt (* (pow x 3) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2))))> |
#<alt (* 1/2 (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))))> |
#<alt (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2)))> |
#<alt (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))))> |
#<alt (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))))> |
#<alt (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))))> |
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2)))))> |
#<alt (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2)))))> |
#<alt (* 1/2 (- (* x (+ 1 (* -1/3 x))) 2))> |
#<alt (+ (* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x))))) (* 1/2 (- (* x (+ 1 (* -1/3 x))) 2)))> |
#<alt (+ (* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x))))) (* 1/2 (- (* x (+ 1 (* -1/3 x))) 2)))> |
#<alt (+ (* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x))))) (* 1/2 (- (* x (+ 1 (* -1/3 x))) 2)))> |
#<alt (* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2)))))> |
#<alt (* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2)))))> |
#<alt -1> |
#<alt (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1)> |
#<alt (- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1)> |
#<alt (- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1)> |
#<alt (* 1/2 (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (* (pow x 2) (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))> |
#<alt (* (pow x 2) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2))))> |
#<alt (* 1/2 (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (* (pow x 2) (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))> |
#<alt (- (* x (+ 1 (* -1/3 x))) 2)> |
#<alt (- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2)> |
#<alt (- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2)> |
#<alt (- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2)> |
#<alt (* (pow eps 2) (* x (+ 1 (* -1 x))))> |
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (* x (+ 1 (* -1 x))))> |
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))> |
#<alt -2> |
#<alt (- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2)> |
#<alt (- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) 2)> |
#<alt (- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) 2)> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* (pow x 2) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))) (/ 2 (pow x 2))))> |
#<alt (* (pow x 2) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))) (/ 2 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt -1/3> |
#<alt (- (* -1 (pow eps 2)) 1/3)> |
#<alt (- (* -1 (pow eps 2)) 1/3)> |
#<alt (- (* -1 (pow eps 2)) 1/3)> |
#<alt (* -1 (pow eps 2))> |
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (pow eps 2))> |
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2))))))> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt -2> |
#<alt (+ 1 (* -1/3 x))> |
#<alt (+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x)))))> |
#<alt (+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x)))))> |
#<alt (+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x)))))> |
#<alt (* (pow eps 2) (+ 1 (* -1 x)))> |
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))> |
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))> |
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))> |
#<alt (* (pow eps 2) (+ 1 (* -1 x)))> |
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))> |
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))> |
#<alt (* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2))))))> |
#<alt (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))> |
#<alt (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))> |
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))> |
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))> |
#<alt (* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))) |
| 4.0ms | eps | @ | inf | (+ 1 (* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))))) |
| 2.0ms | x | @ | -inf | (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))) |
| 1.0ms | eps | @ | 0 | (+ 1 (* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))))) |
| 1.0ms | eps | @ | -inf | (+ 1 (* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))))) |
| 1× | batch-egg-rewrite |
| 3548× | *-lowering-*.f32 |
| 3548× | *-lowering-*.f64 |
| 1328× | +-lowering-+.f64 |
| 1328× | +-lowering-+.f32 |
| 1236× | pow-lowering-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 320 |
| 1 | 337 | 267 |
| 2 | 3911 | 267 |
| 0 | 8169 | 267 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* x (* 1/2 (* x (* eps eps))))) |
(* x (* 1/2 (* x (* eps eps)))) |
(* 1/2 (* x (* eps eps))) |
(* x (* eps eps)) |
(* eps (* eps (* 1/2 (* x x)))) |
(* eps (* 1/2 (* x x))) |
(* 1/2 (* x x)) |
(* x x) |
(* (/ (- 1 (* x x)) (- 1 x)) (+ 1 (* x (+ -1 (* 1/2 x))))) |
(/ (- 1 (* x x)) (- 1 x)) |
(- 1 (* x x)) |
(+ 1 (* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))))) |
(* x (* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))))) |
(* 1/2 (+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6)))))))) |
(+ (+ eps (+ -1 (- -1 eps))) (* x (+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))))) |
(* eps eps) |
(* x (+ -1 (* 1/2 x))) |
(* 1/2 x) |
(+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))) |
(+ eps (+ -1 (- -1 eps))) |
(+ (* 1/2 (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (* x (+ (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) -1/6)) (* (+ eps -1) (* (* (+ eps -1) (+ eps -1)) 1/6))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x (*.f64 eps eps))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x (*.f64 eps eps)))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps))))))) |
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(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))))) |
| 1× | egg-herbie |
| 5232× | *-lowering-*.f32 |
| 5232× | *-lowering-*.f64 |
| 4868× | +-lowering-+.f64 |
| 4868× | +-lowering-+.f32 |
| 1768× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 4642 |
| 1 | 771 | 3884 |
| 2 | 3150 | 3759 |
| 0 | 8459 | 3759 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* 1/2 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (* eps (pow x 2))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/2 x) 1/2))) |
(+ 1 (* (pow x 2) (- (* 1/2 x) 1/2))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) |
(* 1/2 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* -1 (pow x 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1))) |
(+ 1 (* x (- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1))) |
(* 1/2 (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(* (pow x 3) (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) |
(* (pow x 3) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2)))) |
(* (pow x 3) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (+ (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) |
(* 1/2 (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- 1 (/ 1 x)) x)) (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) x)) (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) |
(+ 1 (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2)))) |
(+ 1 (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))))) |
(+ 1 (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))))) |
(+ 1 (+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))))) |
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2))))) |
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))) (/ 1 (pow eps 2))))) |
(* -1 x) |
(* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1)) |
(* x (- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1)) |
(* x (- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1)) |
(* 1/2 (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(* (pow x 3) (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) |
(* (pow x 3) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2)))) |
(* (pow x 3) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2)))) |
(* 1/2 (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* -1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) |
(* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) |
(+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))) |
(+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))) |
(+ (* 1/2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) (* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x)))))) |
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))))) |
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1 (* -1 x))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))) (* 1/2 (/ (* x (- (* x (+ 1 (* -1/3 x))) 2)) (pow eps 2))))) |
(* 1/2 (- (* x (+ 1 (* -1/3 x))) 2)) |
(+ (* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x))))) (* 1/2 (- (* x (+ 1 (* -1/3 x))) 2))) |
(+ (* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x))))) (* 1/2 (- (* x (+ 1 (* -1/3 x))) 2))) |
(+ (* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x))))) (* 1/2 (- (* x (+ 1 (* -1/3 x))) 2))) |
(* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x))))) |
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2))))) |
(* 1/2 (* (pow eps 2) (* x (+ 1 (* -1 x))))) |
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2))))) |
(* (pow eps 2) (+ (* 1/2 (* x (+ 1 (* -1 x)))) (* 1/2 (/ (- (* x (+ 1 (* -1/3 x))) 2) (pow eps 2))))) |
-1 |
(- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1) |
(- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1) |
(- (* x (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))) 1) |
(* 1/2 (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(* (pow x 2) (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) |
(* (pow x 2) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2)))) |
(* (pow x 2) (- (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (/ 1 (pow x 2)))) |
(* 1/2 (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(* (pow x 2) (+ (* 1/4 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)) x)) (* 1/2 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) |
(- (* x (+ 1 (* -1/3 x))) 2) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
(- (+ (* x (+ 1 (* -1/3 x))) (* (pow eps 2) (* x (+ 1 (* -1 x))))) 2) |
(* (pow eps 2) (* x (+ 1 (* -1 x)))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (* x (+ 1 (* -1 x)))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
(* (pow eps 2) (- (+ (* x (+ 1 (* -1 x))) (/ (* x (+ 1 (* -1/3 x))) (pow eps 2))) (* 2 (/ 1 (pow eps 2))))) |
-2 |
(- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2) |
(- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) 2) |
(- (* x (+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))))) 2) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* (pow x 2) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))) (/ 2 (pow x 2)))) |
(* (pow x 2) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x)))) (/ 2 (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) |
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))) x)) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
-1/3 |
(- (* -1 (pow eps 2)) 1/3) |
(- (* -1 (pow eps 2)) 1/3) |
(- (* -1 (pow eps 2)) 1/3) |
(* -1 (pow eps 2)) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (pow eps 2)) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 2) (+ 1 (* 1/3 (/ 1 (pow eps 2)))))) |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
(+ 1 (* -1/3 x)) |
(+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x))))) |
(+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x))))) |
(+ 1 (+ (* -1/3 x) (* (pow eps 2) (+ 1 (* -1 x))))) |
(* (pow eps 2) (+ 1 (* -1 x))) |
(* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (* -1 x))) |
(* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (+ (* -1 x) (+ (* -1/3 (/ x (pow eps 2))) (/ 1 (pow eps 2)))))) |
(* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) |
(+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) |
(* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))) |
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(* x (+ 1 (/ 1 x))) |
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(* -1 (pow x 2)) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
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(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
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(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) |
(+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) |
(+ (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) |
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) |
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))) |
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) |
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))) |
(* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3)))) (* -1/2 (/ (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)) x))))) |
(-.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
Compiled 33216 to 1853 computations (94.4% saved)
40 alts after pruning (36 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 756 | 14 | 770 |
| Fresh | 9 | 22 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 768 | 40 | 808 |
| Status | Accuracy | Program |
|---|---|---|
| 40.7% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) | |
| 59.1% | (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) | |
| 55.6% | (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) | |
| 31.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) | |
| 44.8% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) | |
| 44.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) | |
| 46.9% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) | |
| 42.4% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) | |
| 20.0% | (/.f64 x (exp.f64 x)) | |
| 3.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) | |
| 29.7% | (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 30.5% | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 37.5% | (-.f64 #s(literal 1 binary64) x) | |
| 37.4% | (+.f64 x #s(literal 1 binary64)) | |
| 37.1% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) | |
| 58.7% | (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) | |
| 57.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) | |
| 60.2% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) | |
| 69.1% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) | |
| 44.8% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) | |
| 37.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) | |
| 35.9% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) x)))))))) | |
| ✓ | 71.4% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
| 44.4% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 37.1% | (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) | |
| 36.8% | (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) | |
| 45.9% | (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) | |
| 7.9% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/12 binary64))))) | |
| 38.5% | (*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) | |
| 25.3% | (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) | |
| 9.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) | |
| 32.1% | (*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) | |
| 55.9% | (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 54.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))))) | |
| ✓ | 81.3% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 59.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) | |
| 9.6% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) | |
| 68.5% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) | |
| ✓ | 2.9% | x |
| ✓ | 37.9% | #s(literal 1 binary64) |
Compiled 2536 to 892 computations (64.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/12 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) x)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps))))) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(/.f64 x (exp.f64 x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (-.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
4 calls:
| 44.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 28.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 23.0ms | x |
| 20.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | eps |
| 98.8% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 98.8% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
Compiled 66 to 40 computations (39.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/12 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) x)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps))))) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(/.f64 x (exp.f64 x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
2 calls:
| 43.0ms | eps |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 4 | x |
| 99.9% | 2 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/12 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) x)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps))))) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(/.f64 x (exp.f64 x)) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))))) |
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
1 calls:
| 32.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 2 | eps |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/12 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) x)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps))))) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(/.f64 x (exp.f64 x)) |
| Outputs |
|---|
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
1 calls:
| 17.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 2 | eps |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/12 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) x)))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps))))) x) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 (+.f64 x (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
2 calls:
| 17.0ms | eps |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 3 | x |
| 76.8% | 3 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/4 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/12 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 #s(literal 1 binary64) eps)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 (+.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps eps))))) eps))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
2 calls:
| 6.0ms | eps |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | eps |
| 69.1% | 3 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -1/2 binary64) eps))) |
(/.f64 (+.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) |
2 calls:
| 4.0ms | eps |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.1% | 2 | eps |
| 45.1% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
Total -23.4b remaining (-58.8%)
Threshold costs -23.4b (-58.8%)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 3.0ms | x |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.9% | 1 | eps |
| 37.9% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 0.0004540694538121821 | 39.87998158245145 |
| 20.0ms | 144× | 0 | valid |
| 2.0ms | 14× | 0 | unsamplable |
Compiled 261 to 194 computations (25.7% saved)
ival-neg: 5.0ms (29.4% of total)ival-mult: 4.0ms (23.5% of total)ival-sub: 2.0ms (11.8% of total)ival-div: 2.0ms (11.8% of total)ival-add: 2.0ms (11.8% of total)ival-exp: 2.0ms (11.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 0.0004540694538121821 | 39.87998158245145 |
| 28.0ms | 144× | 0 | valid |
| 2.0ms | 11× | 0 | unsamplable |
Compiled 315 to 221 computations (29.8% saved)
ival-mult: 5.0ms (34.1% of total)ival-sub: 2.0ms (13.6% of total)ival-div: 2.0ms (13.6% of total)ival-add: 2.0ms (13.6% of total)ival-exp: 2.0ms (13.6% of total)ival-neg: 1.0ms (6.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 39.87998158245145 | 57978.55265720635 |
| 29.0ms | 128× | 0 | valid |
Compiled 268 to 191 computations (28.7% saved)
ival-mult: 17.0ms (68.5% of total)ival-sub: 2.0ms (8.1% of total)ival-div: 2.0ms (8.1% of total)ival-add: 1.0ms (4% of total)ival-exp: 1.0ms (4% of total)ival-neg: 1.0ms (4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.398250824569641e+158 | 6.211288864685837e+161 |
| 13.0ms | 21882.35235804923 | 56365.09466137225 |
| 24.0ms | 208× | 0 | valid |
Compiled 1092 to 540 computations (50.5% saved)
ival-mult: 5.0ms (28% of total)ival-sub: 3.0ms (16.8% of total)ival-div: 3.0ms (16.8% of total)ival-add: 2.0ms (11.2% of total)ival-exp: 2.0ms (11.2% of total)ival-neg: 2.0ms (11.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 0.39541433560740613 | 21882.35235804923 |
| 39.0ms | 35× | 1 | valid |
| 9.0ms | 18× | 2 | valid |
| 9.0ms | 75× | 0 | valid |
Compiled 420 to 271 computations (35.5% saved)
ival-mult: 33.0ms (65.2% of total)ival-exp: 6.0ms (11.9% of total)ival-div: 3.0ms (5.9% of total)ival-sub: 3.0ms (5.9% of total)backward-pass: 2.0ms (4% of total)ival-neg: 2.0ms (4% of total)ival-add: 2.0ms (4% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 0.00013627019022442431 | 0.001819148348923288 |
| 10.0ms | 19× | 2 | valid |
| 8.0ms | 59× | 0 | valid |
| 5.0ms | 18× | 1 | valid |
Compiled 264 to 179 computations (32.2% saved)
ival-exp: 5.0ms (28.6% of total)ival-mult: 4.0ms (22.9% of total)ival-div: 2.0ms (11.4% of total)ival-sub: 2.0ms (11.4% of total)ival-add: 2.0ms (11.4% of total)backward-pass: 1.0ms (5.7% of total)ival-neg: 1.0ms (5.7% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 0.39541433560740613 | 21882.35235804923 |
| 12.0ms | 70× | 0 | valid |
| 11.0ms | 39× | 1 | valid |
| 10.0ms | 19× | 2 | valid |
Compiled 244 to 167 computations (31.6% saved)
ival-exp: 6.0ms (22.5% of total)ival-add: 6.0ms (22.5% of total)ival-mult: 5.0ms (18.8% of total)ival-div: 3.0ms (11.3% of total)ival-sub: 3.0ms (11.3% of total)backward-pass: 2.0ms (7.5% of total)ival-neg: 2.0ms (7.5% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 5.4079605115945544e-18 | 1.511577885363406e-12 |
| 20.0ms | -7.0435740253603235e-15 | -3.2949025969585632e-15 |
| 29.0ms | 122× | 0 | valid |
| 23.0ms | 60× | 1 | valid |
| 21.0ms | 42× | 2 | valid |
Compiled 260 to 191 computations (26.5% saved)
ival-exp: 30.0ms (48.8% of total)ival-mult: 10.0ms (16.3% of total)ival-sub: 6.0ms (9.8% of total)ival-div: 6.0ms (9.8% of total)ival-add: 4.0ms (6.5% of total)backward-pass: 3.0ms (4.9% of total)ival-neg: 3.0ms (4.9% of total)const: 1.0ms (1.6% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 56365.09466137225 | 222357750.2735499 |
| 16.0ms | 128× | 0 | valid |
Compiled 164 to 119 computations (27.4% saved)
ival-mult: 3.0ms (25.5% of total)ival-sub: 2.0ms (17% of total)ival-div: 2.0ms (17% of total)ival-exp: 2.0ms (17% of total)ival-add: 1.0ms (8.5% of total)ival-neg: 1.0ms (8.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 68× | *-commutative_binary64 |
| 54× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | neg-mul-1_binary64 |
| 2× | sub0-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 340 |
| 1 | 174 | 340 |
| 2 | 180 | 340 |
| 3 | 183 | 340 |
| 4 | 184 | 340 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(if (<=.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(if (<=.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps)) |
(if (<=.f64 eps #s(literal 45 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps)) |
(if (<=.f64 x #s(literal 22000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) (if (<=.f64 x #s(literal 2150000000000000099884161785586473460212101881322620838552950500573616680862025335337445382191160966008931465336272000711896881133118988651399009140272076423168 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(if (<=.f64 x #s(literal 350 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal 4150517416584649/2305843009213693952 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal 220 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal -4183246980753157/633825300114114700748351602688 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 7098843361278085/2535301200456458802993406410752 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(if (<=.f64 x #s(literal 57000 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(if (<=.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(if (<=.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))) |
(if (<=.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps)) |
(if (<=.f64 eps #s(literal 45 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))) eps)) |
(if (<=.f64 x #s(literal 22000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) (if (<=.f64 x #s(literal 2150000000000000099884161785586473460212101881322620838552950500573616680862025335337445382191160966008931465336272000711896881133118988651399009140272076423168 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(if (<=.f64 x #s(literal 22000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) (if (<=.f64 x #s(literal 2150000000000000099884161785586473460212101881322620838552950500573616680862025335337445382191160966008931465336272000711896881133118988651399009140272076423168 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(if (<=.f64 x #s(literal 350 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal 350 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal 4150517416584649/2305843009213693952 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) x)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal 220 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal -4183246980753157/633825300114114700748351602688 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 7098843361278085/2535301200456458802993406410752 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(if (<=.f64 x #s(literal 57000 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) |
#s(literal 1 binary64) |
| 5232× | *-lowering-*.f32 |
| 5232× | *-lowering-*.f64 |
| 5104× | *-lowering-*.f32 |
| 5104× | *-lowering-*.f64 |
| 4868× | +-lowering-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 26 |
| 1 | 58 | 26 |
| 2 | 163 | 23 |
| 3 | 543 | 23 |
| 4 | 1479 | 22 |
| 5 | 5450 | 22 |
| 0 | 8248 | 22 |
| 0 | 214 | 4642 |
| 1 | 771 | 3884 |
| 2 | 3150 | 3759 |
| 0 | 8459 | 3759 |
| 0 | 40 | 326 |
| 1 | 323 | 324 |
| 2 | 3568 | 324 |
| 0 | 8026 | 324 |
| 0 | 283 | 2119 |
| 1 | 943 | 1878 |
| 2 | 3546 | 1732 |
| 0 | 9553 | 1732 |
| 0 | 444 | 7145 |
| 1 | 1646 | 6376 |
| 2 | 6657 | 6265 |
| 0 | 8133 | 6265 |
| 0 | 429 | 5915 |
| 1 | 1505 | 5183 |
| 2 | 5775 | 4918 |
| 0 | 8451 | 4918 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 871 to 460 computations (47.2% saved)
Compiled 814 to 288 computations (64.6% saved)
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