
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-mult: 6.0ms (26.6% of total)ival-sub: 4.0ms (17.7% of total)ival-exp: 4.0ms (17.7% of total)ival-div: 3.0ms (13.3% of total)ival-add: 3.0ms (13.3% of total)ival-neg: 2.0ms (8.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 919.0ms | 5978× | 0 | valid |
| 731.0ms | 1404× | 1 | valid |
| 598.0ms | 874× | 2 | valid |
| 124.0ms | 926× | 0 | unsamplable |
ival-exp: 516.0ms (28.2% of total)ival-mult: 348.0ms (19% of total)ival-div: 260.0ms (14.2% of total)ival-sub: 258.0ms (14.1% of total)ival-add: 196.0ms (10.7% of total)ival-neg: 127.0ms (6.9% of total)backward-pass: 103.0ms (5.6% of total)const: 22.0ms (1.2% 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 |
|---|---|---|---|---|---|
| 67 | 5 | (2.9504916552641226e-117 0.0005929641600629264) | 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))))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) 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 | - | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
| 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)) |
| 127.0ms | 372× | 0 | valid |
| 68.0ms | 54× | 2 | valid |
| 66.0ms | 86× | 1 | valid |
Compiled 319 to 59 computations (81.5% saved)
ival-add: 29.0ms (24.4% of total)ival-mult: 24.0ms (20.2% of total)ival-sub: 18.0ms (15.2% of total)ival-exp: 17.0ms (14.3% of total)ival-div: 12.0ms (10.1% of total)backward-pass: 11.0ms (9.3% of total)ival-neg: 7.0ms (5.9% of total)const: 1.0ms (0.8% of total)Compiled 27 to 18 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.6% | (-.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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 eps #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 74.6% | (-.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)))) |
| 126.0ms | 42× | 1 | valid |
| 62.0ms | 186× | 0 | valid |
| 24.0ms | 28× | 2 | valid |
Compiled 101 to 19 computations (81.2% saved)
ival-exp: 9.0ms (22.9% of total)ival-mult: 9.0ms (22.9% of total)ival-div: 6.0ms (15.3% of total)ival-sub: 5.0ms (12.7% of total)backward-pass: 5.0ms (12.7% of total)ival-add: 4.0ms (10.2% of total)const: 1.0ms (2.5% 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 (* 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 (* 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))))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | eps | @ | 0 | (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
| 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 | @ | 0 | (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) |
| 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 | 52 |
| 1 | 128 | 52 |
| 2 | 1108 | 52 |
| 0 | 8523 | 52 |
| 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 (- -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)))))) |
(-.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))))))) (/.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)))))))) |
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(/.f64 (-.f64 (*.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 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) |
(*.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) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(*.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.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 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps)))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.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)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) #s(literal -1 binary64)) (/.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.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64)))) x)) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) |
(pow.f64 (exp.f64 x) (+.f64 (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x) |
(pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) |
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))) |
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))) |
(*.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x eps)) |
(-.f64 (*.f64 x eps) x) |
(-.f64 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)))) |
(fma.f64 x eps (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x eps)) |
(fma.f64 eps x (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x eps)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))) |
(/.f64 (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps))) |
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x) (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal 1 binary64)))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x eps))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x eps))) |
(*.f64 x (+.f64 eps #s(literal -1 binary64))) |
(*.f64 (+.f64 eps #s(literal -1 binary64)) x) |
(*.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.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 #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 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) eps)))) |
(*.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) eps))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) eps))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x (-.f64 #s(literal 0 binary64) eps))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.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 eps #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.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 eps #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) x)) (-.f64 #s(literal 0 binary64) (+.f64 eps #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps)) (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) eps)))))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x) (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) eps) x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps)) (*.f64 x (-.f64 #s(literal 0 binary64) eps)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x) (*.f64 (-.f64 #s(literal 0 binary64) eps) x))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) eps) x))) |
(*.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 |
| 3376× | *-lowering-*.f32 |
| 3376× | *-lowering-*.f64 |
| 2644× | +-lowering-+.f64 |
| 2644× | +-lowering-+.f32 |
| 1984× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 1879 |
| 1 | 843 | 1674 |
| 2 | 3153 | 1544 |
| 0 | 8983 | 1544 |
| 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 (* 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 (+.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 (*.f64 x #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 #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 (+.f64 #s(literal 1 binary64) eps) (+.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 #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 #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 (exp.f64 (*.f64 x (-.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 (exp.f64 (*.f64 x (-.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 (exp.f64 (*.f64 x (-.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 (exp.f64 (*.f64 x (-.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 (exp.f64 (*.f64 x (-.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 (exp.f64 (*.f64 x (-.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 (exp.f64 (*.f64 x (-.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) 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)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x 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)))))) |
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(*.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 (* 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 19520 to 1152 computations (94.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 6 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 344 | 6 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 44.9% | (-.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)))) |
| 33.3% | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #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)))) | |
| ▶ | 79.2% | (+.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 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
| ▶ | 57.2% | (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) |
| ▶ | 98.9% | (*.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))))) |
| ▶ | 44.8% | #s(literal 1 binary64) |
Compiled 326 to 180 computations (44.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (exp.f64 (*.f64 x (-.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 1/2 binary64) eps) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
| ✓ | cost-diff | 0 | (-.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)))) |
| ✓ | 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 | 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 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 (*.f64 x #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 #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 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
| ✓ | cost-diff | 256 | (+.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 (*.f64 x #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 #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))))) |
| 1724× | +-lowering-+.f64 |
| 1724× | +-lowering-+.f32 |
| 1718× | *-lowering-*.f32 |
| 1718× | *-lowering-*.f64 |
| 1616× | fnmadd-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 452 |
| 1 | 136 | 448 |
| 2 | 625 | 428 |
| 3 | 4909 | 418 |
| 4 | 6242 | 398 |
| 0 | 8008 | 398 |
| 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)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))) |
(* x 1/2) |
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))) |
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) |
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))) |
(* (- -1 eps) (+ (/ 1/2 eps) -1/2)) |
(- -1 eps) |
(* (+ x 1) (exp (- 0 x))) |
(+ x 1) |
x |
1 |
(exp (- 0 x)) |
(- 0 x) |
0 |
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
(+ 1/2 (/ 1/2 eps)) |
1/2 |
(/ 1/2 eps) |
eps |
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)) |
(exp (* x (- -1 eps))) |
(* x (- -1 eps)) |
x |
(- -1 eps) |
-1 |
(+ (/ 1/2 eps) -1/2) |
-1/2 |
| 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)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))) |
(+.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 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.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)))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))) |
(*.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 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.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))))))) |
x |
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.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)))))) |
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(+.f64 (*.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 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) |
(* (+ 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 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) |
(* x 1/2) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) |
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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)))) |
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(* (- -1 eps) (+ (/ 1/2 eps) -1/2)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
(* (+ 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) |
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
(+.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 #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 |
(* (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)) |
x |
(- -1 eps) |
(-.f64 #s(literal -1 binary64) eps) |
-1 |
#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) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 (*.f64 x (-.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 #s(literal -1 binary64) eps)) |
| ✓ | accuracy | 75.7% | (-.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)))) |
| ✓ | 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 | 100.0% | (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) |
| ✓ | accuracy | 97.0% | (*.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 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))) |
| ✓ | accuracy | 95.9% | (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
| ✓ | accuracy | 63.2% | (+.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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
| ✓ | 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 | 100.0% | (*.f64 x (+.f64 eps #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
| 410.0ms | 180× | 2 | valid |
| 163.0ms | 40× | 3 | valid |
| 44.0ms | 36× | 1 | valid |
Compiled 467 to 38 computations (91.9% saved)
backward-pass: 75.0ms (27.7% of total)ival-mult: 65.0ms (24% of total)ival-add: 50.0ms (18.5% of total)ival-sub: 42.0ms (15.5% of total)ival-div: 18.0ms (6.6% of total)ival-exp: 18.0ms (6.6% of total)const: 3.0ms (1.1% 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 (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))> |
#<alt (+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 (* (+ x 1) (exp (- 0 x)))> |
#<alt (+ x 1)> |
#<alt (exp (- 0 x))> |
#<alt (- 0 x)> |
#<alt (- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))> |
#<alt (+ 1/2 (/ 1/2 eps))> |
#<alt (/ 1/2 eps)> |
#<alt (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))> |
#<alt (* x (- -1 eps))> |
#<alt (exp (* x (- -1 eps)))> |
#<alt (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))> |
#<alt (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))> |
#<alt (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))> |
| 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))))))))> |
#<alt (+ (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)))))))))> |
#<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 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))> |
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))> |
#<alt 2> |
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))> |
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))> |
#<alt (+ 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)))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (* 2 (exp (* -1 x)))> |
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))> |
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))> |
#<alt (+ (* 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)))))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))> |
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))> |
#<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 (* -1/2 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)))> |
#<alt (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 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))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 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))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 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))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 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 (* x (+ (* 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))))> |
#<alt (* x (+ (* 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))))> |
#<alt (* x (+ (* 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))))> |
#<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 (* x (+ (* -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)))))))> |
#<alt (* -1 (* x (+ (* -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)))))))> |
#<alt (* -1 (* x (+ (* -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)))))))> |
#<alt 1> |
#<alt (+ 1 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))> |
#<alt (+ 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))))))> |
#<alt (+ 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))))))> |
#<alt (* 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)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))> |
#<alt (* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))> |
#<alt (* 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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#<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)))> |
#<alt (/ -1/2 eps)> |
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)> |
#<alt (* 1/2 eps)> |
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* 1/2 eps)> |
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))> |
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))> |
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | inf | (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 2.0ms | eps | @ | 0 | (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 1.0ms | x | @ | 0 | (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 1.0ms | eps | @ | -inf | (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 1.0ms | eps | @ | -inf | (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
| 1× | batch-egg-rewrite |
| 2904× | *-lowering-*.f32 |
| 2904× | *-lowering-*.f64 |
| 2324× | fma-lowering-fma.f32 |
| 2324× | fma-lowering-fma.f64 |
| 1522× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 339 |
| 1 | 287 | 334 |
| 2 | 3396 | 318 |
| 0 | 8086 | 318 |
| 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)) |
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 1) (exp (- 0 x))) |
(+ x 1) |
(exp (- 0 x)) |
(- 0 x) |
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))) |
(+ 1/2 (/ 1/2 eps)) |
(/ 1/2 eps) |
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)) |
(* x (- -1 eps)) |
(exp (* x (- -1 eps))) |
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))) |
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
| 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)))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.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) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 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 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #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 #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)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps)))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (neg.f64 (-.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps)))))))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (+.f64 eps #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64)))) x)) |
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 eps eps) (+.f64 eps #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x) |
(pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))) |
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) x) |
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))) |
(*.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
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(/.f64 (*.f64 (+.f64 (*.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 (+.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 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 (-.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.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 (+.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 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 (-.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 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 (-.f64 (*.f64 (*.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 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 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.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 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 #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 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 #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 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 #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 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 #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 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 #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 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 #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 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 #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)) |
(+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) |
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 eps #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64)))) |
(-.f64 (*.f64 eps (+.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))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 eps #s(literal -1 binary64)))) |
(fma.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(fma.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) eps))) |
(fma.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) (*.f64 (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 eps #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (+.f64 (*.f64 eps 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 (*.f64 eps (*.f64 eps eps)) (*.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 #s(literal -1 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 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (-.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #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 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) |
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (+.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 #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 eps #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 3544× | *-lowering-*.f32 |
| 3544× | *-lowering-*.f64 |
| 2760× | +-lowering-+.f64 |
| 2760× | +-lowering-+.f32 |
| 1572× | sum5-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 410 | 5618 |
| 1 | 1441 | 4895 |
| 2 | 5607 | 4658 |
| 0 | 8497 | 4658 |
| 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 |
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(+ 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)))) |
(* -1/2 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))) |
(+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 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 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 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 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 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 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 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))))) |
(* x (+ (* 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 (+ (* 1/2 (+ (* -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 (+ (* 1/2 (+ (* -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)))) |
(* 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 (* x (+ (* -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))))))) |
(* -1 (* x (+ (* -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))))))) |
(* -1 (* x (+ (* -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))))))) |
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))))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))) |
(* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))) |
(* 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))))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 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)))) (/ 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)))))) |
(* (pow x 2) (+ (* -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)))))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 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) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) |
(* 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))))) |
(* 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))))) |
(* 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))))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* 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))))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* -1/2 (pow x 2)) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))) |
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) |
(* x (exp (neg x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (+ (exp (neg x)) (/ (exp (neg x)) x))) |
(* x (exp (* -1 x))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x))))) |
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) 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 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (- 1/2 (* 1/2 (exp (* -1 x)))) eps) |
(/ (- (+ 1/2 (* eps (- 1/2 (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps) |
(/ (- (+ 1/2 (* eps (- (+ 1/2 (* -1 (* eps (+ (* 1/4 (* (pow x 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)))) eps) |
(/ (- (+ 1/2 (* eps (- (+ 1/2 (* eps (- (* -1 (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))) (+ (* 1/4 (* (pow x 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)))) eps) |
(- 1/2 (* -1/2 (exp (* -1 (* x (+ 1 eps)))))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))) |
(- 1/2 (* -1/2 (exp (* x (- (* -1 eps) 1))))) |
(- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) |
(- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) |
(- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) |
1 |
(+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) |
(+ 1 (* x (- (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(+ 1 (* x (- (* x (- (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) |
(/ 1/2 eps) |
(/ (+ 1/2 (* 1/2 eps)) eps) |
(/ (+ 1/2 (* 1/2 eps)) eps) |
(/ (+ 1/2 (* 1/2 eps)) eps) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 eps))) |
(+ 1/2 (* 1/2 (/ 1 eps))) |
(+ 1/2 (* 1/2 (/ 1 eps))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 eps))) |
(+ 1/2 (* 1/2 (/ 1 eps))) |
(+ 1/2 (* 1/2 (/ 1 eps))) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(/ 1/2 eps) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(- (+ (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ 1 eps))) 1/2) |
(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))) 1/2) |
(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))))) 1/2) |
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) |
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) |
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) |
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) |
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) |
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) |
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) |
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) |
(* 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 (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))))))) eps) |
(* -1/2 (exp (* -1 (* x (+ 1 eps))))) |
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))) |
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))) |
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))) |
(* -1/2 (exp (* x (- (* -1 eps) 1)))) |
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps))) |
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps))) |
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 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 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 |
(+ 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 |
(- (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))) |
(/ -1/2 eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(* 1/2 eps) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(* 1/2 eps) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) |
(+ 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 #s(literal -1 binary64) (+.f64 eps (-.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 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 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (*.f64 #s(literal 1/4 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 (+ (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 #s(literal -1 binary64) (+.f64 eps (-.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 #s(literal -1 binary64) (+.f64 eps (-.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 (+.f64 eps (-.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 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 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)))) |
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(exp (neg x)) |
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(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 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (*.f64 x x)) (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 #s(literal -1/6 binary64) (*.f64 x (*.f64 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 |
#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 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(pow eps 2) |
(*.f64 eps eps) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))) |
(* (pow eps 2) (- 1 (/ 1 (pow eps 2)))) |
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 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))))))) |
(* -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 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x))) |
(/ -1/2 eps) |
(/.f64 #s(literal -1/2 binary64) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) |
(* 1/2 eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps)))) |
(* 1/2 eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(*.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
Compiled 52757 to 3236 computations (93.9% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1196 | 20 | 1216 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1201 | 21 | 1222 |
| Status | Accuracy | Program |
|---|---|---|
| 57.2% | (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) | |
| 15.4% | (/.f64 x (exp.f64 x)) | |
| 31.8% | (-.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))) | |
| 35.5% | (-.f64 (+.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 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 54.8% | (-.f64 (+.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| ▶ | 39.1% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
| 44.0% | (+.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))))))) | |
| ▶ | 47.8% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
| 53.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) | |
| 79.1% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) | |
| 43.9% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) | |
| ▶ | 79.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
| 68.5% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 43.8% | (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 44.6% | (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 35.6% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 60.9% | (*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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)))))))))) | |
| 62.5% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))) | |
| ▶ | 86.7% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 71.0% | (exp.f64 (-.f64 #s(literal 0 binary64) x)) | |
| ✓ | 44.8% | #s(literal 1 binary64) |
Compiled 763 to 473 computations (38% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) |
| ✓ | cost-diff | 256 | (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #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) eps) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.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))))) |
| 3146× | *-lowering-*.f32 |
| 3146× | *-lowering-*.f64 |
| 1850× | fma-lowering-fma.f32 |
| 1850× | fma-lowering-fma.f64 |
| 1482× | +-lowering-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 537 |
| 1 | 173 | 524 |
| 2 | 677 | 501 |
| 3 | 4526 | 491 |
| 4 | 7539 | 485 |
| 0 | 8176 | 485 |
| 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 |
(+ 1 (* x (* eps (* eps (* 1/2 x))))) |
1 |
(* x (* eps (* eps (* 1/2 x)))) |
x |
(* eps (* eps (* 1/2 x))) |
eps |
(* eps (* 1/2 x)) |
(* 1/2 x) |
1/2 |
(+ 1 (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps)))) |
1 |
(* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps))) |
(* x (+ 1 eps)) |
x |
(+ 1 eps) |
eps |
(+ -1/2 (/ 1/2 eps)) |
-1/2 |
(/ 1/2 eps) |
1/2 |
(+ 1 (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))) |
1 |
(* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))) |
x |
(+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
(+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) |
(/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) |
(* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) |
(+ 1/2 (/ 1/2 eps)) |
1/2 |
(/ 1/2 eps) |
eps |
(+ -1 (* eps (* eps eps))) |
-1 |
(* eps (* eps eps)) |
(* eps eps) |
(+ (* eps eps) (- 1 (- 0 eps))) |
(- 1 (- 0 eps)) |
(- 0 eps) |
0 |
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) |
(+ 1 eps) |
(+ (/ 1/2 eps) -1/2) |
-1/2 |
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))) |
(* x 1/2) |
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))) |
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) |
(+ eps -1) |
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) |
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))) |
(* (- -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) |
(+ 1 (* x (* eps (* eps (* 1/2 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
1 |
#s(literal 1 binary64) |
(* x (* eps (* eps (* 1/2 x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
x |
(* eps (* eps (* 1/2 x))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) |
eps |
(* eps (* 1/2 x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1 (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps)))) |
(+.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)))) |
1 |
#s(literal 1 binary64) |
(* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps))) |
(*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
(* x (+ 1 eps)) |
(*.f64 x (+.f64 eps #s(literal 1 binary64))) |
x |
(+ 1 eps) |
(+.f64 eps #s(literal 1 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) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1 (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.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)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.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)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.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)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 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)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) |
(* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps 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 |
(+ -1 (* eps (* eps eps))) |
(+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) |
-1 |
#s(literal -1 binary64) |
(* eps (* eps eps)) |
(*.f64 eps (*.f64 eps eps)) |
(* eps eps) |
(*.f64 eps eps) |
(+ (* eps eps) (- 1 (- 0 eps))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64)))) |
(- 1 (- 0 eps)) |
(+.f64 eps #s(literal 1 binary64)) |
(- 0 eps) |
(-.f64 #s(literal 0 binary64) eps) |
0 |
#s(literal 0 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 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))) |
(*.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) |
(* x 1/2) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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))))) |
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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)))) |
(+ eps -1) |
(+.f64 eps #s(literal -1 binary64)) |
(* (+ 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 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) (+ (/ 1/2 eps) -1/2)) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.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 | 97.0% | (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))) |
| ✓ | accuracy | 95.9% | (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) |
| ✓ | accuracy | 63.2% | (+.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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 62.1% | (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) eps) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) |
| ✓ | accuracy | 100.0% | (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 99.8% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 96.2% | (*.f64 x (*.f64 eps (*.f64 eps (*.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% | (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 x eps)) |
| ✓ | accuracy | 100.0% | (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
| 508.0ms | 181× | 2 | valid |
| 150.0ms | 40× | 3 | valid |
| 50.0ms | 35× | 1 | valid |
Compiled 591 to 51 computations (91.4% saved)
ival-mult: 117.0ms (36.5% of total)backward-pass: 78.0ms (24.3% of total)ival-add: 70.0ms (21.8% of total)ival-div: 32.0ms (10% of total)ival-sub: 13.0ms (4.1% of total)ival-exp: 9.0ms (2.8% of total)const: 3.0ms (0.9% 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 (+ 1 (* x (* eps (* eps (* 1/2 x)))))> |
#<alt (* x (* eps (* eps (* 1/2 x))))> |
#<alt (* eps (* eps (* 1/2 x)))> |
#<alt (* eps (* 1/2 x))> |
#<alt (+ 1 (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps))))> |
#<alt (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps)))> |
#<alt (* x (+ 1 eps))> |
#<alt (+ 1 eps)> |
#<alt (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))> |
#<alt (- 1 (- 0 eps))> |
#<alt (+ 1 (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))> |
#<alt (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))> |
#<alt (* x (- -1 eps))> |
#<alt (exp (* x (- -1 eps)))> |
#<alt (* 1/2 x)> |
#<alt (+ -1/2 (/ 1/2 eps))> |
#<alt (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps))))> |
#<alt (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))> |
#<alt (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 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 (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt 1> |
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))> |
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))> |
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))> |
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))> |
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1 x))))> |
#<alt (* 1/2 (/ x eps))> |
#<alt (/ (+ eps (* 1/2 x)) eps)> |
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)> |
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)> |
#<alt (* -1/2 (* eps x))> |
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))> |
#<alt (* eps (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps))))> |
#<alt (* eps (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps))))> |
#<alt (* -1/2 (* eps x))> |
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))> |
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x))))> |
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x))))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))> |
#<alt (* 1/2 (/ x eps))> |
#<alt (/ (+ (* -1/2 (* (pow eps 2) x)) (* 1/2 x)) eps)> |
#<alt (/ (+ (* -1/2 (* (pow eps 2) x)) (* 1/2 x)) eps)> |
#<alt (/ (+ (* -1/2 (* (pow eps 2) x)) (* 1/2 x)) eps)> |
#<alt (* -1/2 (* eps x))> |
#<alt (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2)))))> |
#<alt (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2)))))> |
#<alt (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2)))))> |
#<alt (* -1/2 (* eps x))> |
#<alt (* -1 (* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))> |
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#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt (* x (+ 1 eps))> |
#<alt x> |
#<alt (+ x (* eps x))> |
#<alt (+ x (* eps x))> |
#<alt (+ x (* eps x))> |
#<alt (* eps x)> |
#<alt (* eps (+ x (/ x eps)))> |
#<alt (* eps (+ x (/ x eps)))> |
#<alt (* eps (+ x (/ x eps)))> |
#<alt (* eps x)> |
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#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))> |
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))> |
#<alt 1> |
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#<alt (+ 1 eps)> |
#<alt eps> |
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#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt eps> |
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#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* eps (+ 1 (/ 1 eps)))> |
#<alt (* -1/2 x)> |
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#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))> |
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#<alt (* 1/2 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))> |
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#<alt (* 1/2 (* (pow eps 2) x))> |
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#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))> |
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#<alt (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2)))))> |
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#<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))))) (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (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))))) (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2))))))> |
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#<alt (* x (+ (* 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))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* x (+ (* 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))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<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 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 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)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 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)))))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 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)))))))> |
#<alt 1> |
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#<alt (* eps (+ 1 (/ 1 eps)))> |
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#<alt (+ 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 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2))))))))> |
#<alt (+ 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 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2))))))))> |
#<alt (* 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)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))> |
#<alt (* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))> |
#<alt (* 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)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 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))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 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))))))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
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#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (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) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))> |
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#<alt (* 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 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2)))))))> |
#<alt (* 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 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2)))))))> |
#<alt (* 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 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2)))))))> |
#<alt (* 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)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* 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)))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))> |
#<alt (* -1/2 (pow x 2))> |
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#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))> |
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))> |
#<alt (* -1 (* x (+ 1 eps)))> |
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#<alt (* -1 (* x (+ 1 eps)))> |
#<alt (* -1 (* x (+ 1 eps)))> |
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#<alt (* -1 (* x (+ 1 eps)))> |
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#<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)> |
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#<alt (* -1 (* eps x))> |
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))> |
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#<alt (* -1 (* eps x))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt (* -1 (* eps (+ x (/ x eps))))> |
#<alt 1> |
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#<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))))> |
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#<alt (exp (* x (- (* -1 eps) 1)))> |
#<alt (exp (* x (- (* -1 eps) 1)))> |
#<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 (/ 1/2 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 eps)> |
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)> |
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)> |
#<alt (* 1/2 eps)> |
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))> |
#<alt (* 1/2 eps)> |
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))> |
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))> |
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))> |
#<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 (* 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)))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | eps | @ | 0 | (* x eps) |
| 2.0ms | eps | @ | inf | (* eps (* 1/2 x)) |
| 1.0ms | x | @ | 0 | (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps))))) |
| 1.0ms | x | @ | 0 | (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 1.0ms | eps | @ | 0 | (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
| 1× | batch-egg-rewrite |
| 2450× | *-lowering-*.f32 |
| 2450× | *-lowering-*.f64 |
| 1608× | /-lowering-/.f32 |
| 1608× | /-lowering-/.f64 |
| 1442× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 374 |
| 1 | 382 | 332 |
| 2 | 4695 | 317 |
| 0 | 8019 | 317 |
| 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) |
(+ 1 (* x (* eps (* eps (* 1/2 x))))) |
(* x (* eps (* eps (* 1/2 x)))) |
(* eps (* eps (* 1/2 x))) |
(* eps (* 1/2 x)) |
(+ 1 (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps)))) |
(* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps))) |
(* x (+ 1 eps)) |
(+ 1 eps) |
(+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))) |
(- 1 (- 0 eps)) |
(+ 1 (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))) |
(* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))) |
(* x (- -1 eps)) |
(exp (* x (- -1 eps))) |
(* 1/2 x) |
(+ -1/2 (/ 1/2 eps)) |
(/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) |
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))) |
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ 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 (+.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))))) (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 (+.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))))) (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 (+.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))))) (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 (+.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))))) (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))))) |
(/.f64 (neg.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))))) (neg.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))))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(/.f64 (neg.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)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (-.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 eps)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) |
(pow.f64 (/.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))))) (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))))) #s(literal -1 binary64)) |
(pow.f64 (/.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)))))) #s(literal -1 binary64)) |
(*.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 #s(literal 1 binary64) (-.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))))) (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 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(exp.f64 (*.f64 x eps)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) eps)) |
(pow.f64 (exp.f64 x) eps) |
(pow.f64 (exp.f64 eps) x) |
(*.f64 (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64)))) |
(*.f64 x eps) |
(*.f64 eps x) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
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(/.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 (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.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) x)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) 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) x))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.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 eps #s(literal 1 binary64)) (*.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 1/2 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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.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 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 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 1/2 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 #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 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))) (-.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) |
(/.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))) (*.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.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 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 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 1/2 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 #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 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (*.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) |
(*.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) |
(*.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 eps #s(literal 1 binary64)) (*.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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) 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 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 4232× | +-lowering-+.f64 |
| 4232× | +-lowering-+.f32 |
| 3658× | *-lowering-*.f32 |
| 3658× | *-lowering-*.f64 |
| 1986× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 315 | 5973 |
| 1 | 1159 | 5158 |
| 2 | 4510 | 4939 |
| 0 | 8426 | 4939 |
| 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 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))) |
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eps |
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1 |
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(+ 1 eps) |
eps |
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eps |
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1 |
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(* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))) |
(* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))) |
(* 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))))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 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)))))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 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)))))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 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) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))) |
(* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2)))))) |
(* 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 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2))))))) |
(* 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 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 2))))))) |
(* 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 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (+ 1 (+ eps (pow eps 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))))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* 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))))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (pow eps 3) 1)) (* x (+ 1 (+ eps (pow eps 2))))) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))) |
(* -1/2 (pow x 2)) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2)))) |
(* -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 |
(+ 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))) |
(* 1/2 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) |
(/ 1/2 eps) |
(/ (+ 1/2 (* -1/2 eps)) eps) |
(/ (+ 1/2 (* -1/2 eps)) eps) |
(/ (+ 1/2 (* -1/2 eps)) eps) |
-1/2 |
(- (* 1/2 (/ 1 eps)) 1/2) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(- (* 1/2 (/ 1 eps)) 1/2) |
-1/2 |
(- (* 1/2 (/ 1 eps)) 1/2) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(/ -1/2 eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(* 1/2 eps) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(* 1/2 eps) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
-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 (* 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)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) x))) |
(+ 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 #s(literal 1/2 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) |
(+ 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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #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 #s(literal 1/2 binary64) (+.f64 (*.f64 x eps) (*.f64 (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 x (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x 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))))))))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x eps) (*.f64 (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) 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 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))) #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 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))))) |
(+ 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 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #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 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) 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))))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 x (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x 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)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3)))))))))))) |
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) |
(+ (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 (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* eps x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x eps)) |
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) |
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* eps x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x eps)) |
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) |
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
(exp (* eps x)) |
(exp.f64 (*.f64 x eps)) |
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(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))) eps) |
(/ (+ 1/2 (* -1/2 eps)) eps) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))) eps) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) |
(- (* 1/2 (/ 1 eps)) 1/2) |
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) |
(- (* 1/2 (/ 1 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) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) eps) |
(/ (- (* 1/2 (pow eps 2)) 1/2) eps) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)) eps) |
(* 1/2 eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2))))) |
(*.f64 eps (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(* 1/2 eps) |
(*.f64 #s(literal 1/2 binary64) eps) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(*.f64 eps (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(*.f64 eps (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) |
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2))) |
(*.f64 eps (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps 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 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 #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)))))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64))) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64))) |
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) |
(*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))) |
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) |
Compiled 41721 to 2397 computations (94.3% saved)
28 alts after pruning (26 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1011 | 16 | 1027 |
| Fresh | 5 | 10 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1020 | 28 | 1048 |
| Status | Accuracy | Program |
|---|---|---|
| 49.2% | (/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))) | |
| 57.2% | (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) | |
| ▶ | 46.3% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
| 2.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) | |
| 15.4% | (/.f64 x (exp.f64 x)) | |
| 31.8% | (-.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))) | |
| 35.5% | (-.f64 (+.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 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 54.8% | (-.f64 (+.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 37.0% | (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64)) | |
| 76.6% | (+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)) | |
| 44.6% | (+.f64 x #s(literal 1 binary64)) | |
| 32.9% | (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) | |
| ▶ | 44.0% | (+.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))))))) |
| ▶ | 76.6% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
| 42.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))))) | |
| 53.5% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) | |
| 43.9% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) | |
| 51.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) | |
| 68.5% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 9.9% | (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) | |
| 35.6% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 65.5% | (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 65.0% | (*.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 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))))))))) | |
| ✓ | 86.7% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| 62.4% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))) | |
| ▶ | 44.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
| ▶ | 3.0% | x |
| ✓ | 44.8% | #s(literal 1 binary64) |
Compiled 990 to 582 computations (41.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.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)))))) |
| ✓ | cost-diff | 0 | (+.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))))))) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) |
| ✓ | cost-diff | 0 | (*.f64 x eps) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
| 4444× | *-lowering-*.f32 |
| 4444× | *-lowering-*.f64 |
| 2112× | fma-lowering-fma.f32 |
| 2112× | fma-lowering-fma.f64 |
| 1700× | fmsub-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 341 |
| 1 | 103 | 239 |
| 2 | 422 | 214 |
| 3 | 1677 | 208 |
| 4 | 3483 | 205 |
| 5 | 4090 | 202 |
| 6 | 5614 | 202 |
| 0 | 8064 | 202 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (* x eps) (* 1/2 (* x eps)))) |
1 |
(* (* x eps) (* 1/2 (* x eps))) |
(* x eps) |
x |
eps |
(* 1/2 (* x eps)) |
1/2 |
x |
(* 1/2 (* x (* x (* eps eps)))) |
1/2 |
(* x (* x (* eps eps))) |
x |
(* x (* eps eps)) |
(* eps eps) |
eps |
(+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))) |
1 |
(* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))) |
(* x x) |
x |
(+ -1/2 (* x (+ 1/3 (* x -1/8)))) |
-1/2 |
(* x (+ 1/3 (* x -1/8))) |
(+ 1/3 (* x -1/8)) |
1/3 |
(* x -1/8) |
-1/8 |
(/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)))) |
(+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) |
1 |
(* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))) |
(* eps (* x (* 1/2 (* x eps)))) |
eps |
(* x (* 1/2 (* x eps))) |
x |
(* 1/2 (* x eps)) |
1/2 |
(* x eps) |
(* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))) |
(* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))) |
(+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))) |
(* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)) |
(- (* eps (* x (* 1/2 (* x eps)))) 1) |
| Outputs |
|---|
(+ 1 (* (* x eps) (* 1/2 (* x eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* x eps) (* 1/2 (* x eps))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(* x eps) |
(*.f64 x eps) |
x |
eps |
(* 1/2 (* x eps)) |
(*.f64 x (*.f64 eps #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
x |
(* 1/2 (* x (* x (* eps eps)))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* x (* eps eps))) |
(*.f64 x (*.f64 x (*.f64 eps eps))) |
x |
(* x (* eps eps)) |
(*.f64 x (*.f64 eps eps)) |
(* eps eps) |
(*.f64 eps eps) |
eps |
(+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))) |
(+.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))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))) |
(*.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)))))) |
(* x x) |
(*.f64 x x) |
x |
(+ -1/2 (* x (+ 1/3 (* x -1/8)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (+ 1/3 (* x -1/8))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
(+ 1/3 (* x -1/8)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* x -1/8) |
(*.f64 x #s(literal -1/8 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))) |
(+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))) |
(*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) |
(* eps (* x (* 1/2 (* x eps)))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
eps |
(* x (* 1/2 (* x eps))) |
(*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
x |
(* 1/2 (* x eps)) |
(*.f64 x (*.f64 eps #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x eps) |
(*.f64 x eps) |
(* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))) |
(*.f64 (*.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) |
(+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) |
(* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(- (* eps (* x (* 1/2 (* x eps)))) 1) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) |
| ✓ | accuracy | 94.7% | (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
| ✓ | accuracy | 61.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/8 binary64)) |
| ✓ | accuracy | 99.9% | (*.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)))))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
| ✓ | accuracy | 96.2% | (*.f64 x (*.f64 x (*.f64 eps eps))) |
| ✓ | accuracy | 93.0% | (*.f64 x (*.f64 eps eps)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
| ✓ | accuracy | 100.0% | (*.f64 x eps) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) |
| 206.0ms | 256× | 0 | valid |
Compiled 355 to 33 computations (90.7% saved)
ival-mult: 28.0ms (62.7% of total)ival-add: 8.0ms (17.9% of total)...c/correct-round.rkt:119:19: 5.0ms (11.2% of total)ival-div: 2.0ms (4.5% of total)ival-sub: 1.0ms (2.2% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ 1 (* (* x eps) (* 1/2 (* x eps))))> |
#<alt (* (* x eps) (* 1/2 (* x eps)))> |
#<alt (* x eps)> |
#<alt (* 1/2 (* x eps))> |
#<alt (* 1/2 (* x (* x (* eps eps))))> |
#<alt (* x (* x (* eps eps)))> |
#<alt (* x (* eps eps))> |
#<alt (* eps eps)> |
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))))> |
#<alt (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))> |
#<alt (* x x)> |
#<alt (+ -1/2 (* x (+ 1/3 (* x -1/8))))> |
#<alt (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))> |
#<alt (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))> |
#<alt (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))> |
#<alt (/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))))> |
#<alt (* x (+ 1/3 (* x -1/8)))> |
#<alt (* x -1/8)> |
#<alt (* eps (* x (* 1/2 (* x eps))))> |
#<alt (* x (* 1/2 (* x eps)))> |
#<alt (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))> |
| 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 (* 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 (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps x))> |
#<alt (* 1/2 (* eps 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 (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<alt (* (pow eps 2) (pow x 2))> |
#<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 (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> |
#<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 (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/8 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))> |
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/8))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))> |
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))> |
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))> |
#<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 -1/2> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* x (+ 1/3 (* -1/8 x))) 1/2)> |
#<alt (- (* x (+ 1/3 (* -1/8 x))) 1/2)> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))> |
#<alt (* -1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4)))))> |
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4)))))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))> |
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))> |
#<alt (* -1/2 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))> |
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* (pow eps 2) (- (* -1 (* (pow eps 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/2 (pow x 2)))))> |
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4)))))) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/2 (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> |
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))> |
#<alt (+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4))))) (* -1/2 (pow eps 2)))))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4)))))) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4))))) (* -1/2 (pow eps 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 (* 1/3 x)> |
#<alt (* x (+ 1/3 (* -1/8 x)))> |
#<alt (* x (+ 1/3 (* -1/8 x)))> |
#<alt (* x (+ 1/3 (* -1/8 x)))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* -1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 x)> |
#<alt (* -1/8 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 (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))) |
| 2.0ms | eps | @ | 0 | (/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)))) |
| 1.0ms | eps | @ | 0 | (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))) |
| 1.0ms | x | @ | 0 | (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))) |
| 1.0ms | x | @ | 0 | (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))) |
| 1× | batch-egg-rewrite |
| 3982× | *-lowering-*.f32 |
| 3982× | *-lowering-*.f64 |
| 3266× | /-lowering-/.f32 |
| 3266× | /-lowering-/.f64 |
| 1700× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 205 |
| 1 | 198 | 150 |
| 2 | 1731 | 135 |
| 0 | 8279 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (* x eps) (* 1/2 (* x eps)))) |
(* (* x eps) (* 1/2 (* x eps))) |
(* x eps) |
(* 1/2 (* x eps)) |
(* 1/2 (* x (* x (* eps eps)))) |
(* x (* x (* eps eps))) |
(* x (* eps eps)) |
(* eps eps) |
(+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))) |
(* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))) |
(* x x) |
(+ -1/2 (* x (+ 1/3 (* x -1/8)))) |
(* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))) |
(* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))) |
(* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)) |
(/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)))) |
(* x (+ 1/3 (* x -1/8))) |
(* x -1/8) |
(* eps (* x (* 1/2 (* x eps)))) |
(* x (* 1/2 (* x eps))) |
(* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) |
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(*.f64 x (*.f64 (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))) |
(*.f64 eps (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 x eps) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 x eps) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 eps eps))) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 eps eps)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x eps)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) eps) |
(*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) x)) |
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) x) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x eps)) |
(*.f64 (*.f64 x (*.f64 x eps)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) eps) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) eps) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 eps (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x eps))) |
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 eps eps) (pow.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (pow.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x eps)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) x) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (*.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) eps) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) eps) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) x) eps) |
(*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 (*.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (*.f64 eps eps)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 eps eps)) |
| 1× | egg-herbie |
| 3908× | *-lowering-*.f32 |
| 3908× | *-lowering-*.f64 |
| 1976× | fnmadd-define |
| 1204× | associate-*r* |
| 1006× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 3354 |
| 1 | 420 | 2874 |
| 2 | 1462 | 2706 |
| 3 | 6047 | 2706 |
| 0 | 8015 | 2706 |
| 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))) |
(* 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) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps x)) |
(* 1/2 (* eps 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))) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 2)) |
(* (pow eps 2) (pow x 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) |
(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 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))) |
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2))))) |
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/8 (/ 1/2 (pow x 2))))) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8)) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/8)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) |
(* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2))))) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2))))) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8)) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8)) |
(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) |
-1/2 |
(- (* 1/3 x) 1/2) |
(- (* x (+ 1/3 (* -1/8 x))) 1/2) |
(- (* x (+ 1/3 (* -1/8 x))) 1/2) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2))))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2))))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8)) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8)) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/8 (* (pow eps 6) (pow x 6))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* 1/4 (* (pow eps 3) (pow x 3))) |
(* -1/2 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4))))) |
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4))))) |
(* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4)))) |
(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4)))) |
(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4)))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4)))) |
(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4)))) |
(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4)))) |
(* -1/2 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4)))) |
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4)))) |
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4)))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4)))) |
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4)))) |
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4)))) |
1 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* (pow eps 2) (- (* -1 (* (pow eps 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/2 (pow x 2))))) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4)))))) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/2 (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 |
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))) |
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4))))) (* -1/2 (pow eps 2))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4)))))) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4))))) (* -1/2 (pow eps 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)))) |
(* 1/3 x) |
(* x (+ 1/3 (* -1/8 x))) |
(* x (+ 1/3 (* -1/8 x))) |
(* x (+ 1/3 (* -1/8 x))) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8)) |
(* -1/8 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8)) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 x) |
(* -1/8 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))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
| 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)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
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 eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 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 eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) |
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* eps x) |
(*.f64 eps x) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x)) |
(* 1/2 (* eps x)) |
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(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.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)))) |
(* 1/2 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/2 (* eps (pow x 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
(* 1/4 (* (pow eps 4) (pow x 4))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64)))))) |
Compiled 84482 to 2869 computations (96.6% saved)
31 alts after pruning (25 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1758 | 10 | 1768 |
| Fresh | 6 | 15 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1765 | 31 | 1796 |
| Status | Accuracy | Program |
|---|---|---|
| 44.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) | |
| 57.2% | (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) | |
| 38.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) | |
| 45.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) | |
| 37.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) | |
| 2.7% | (/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) | |
| 15.4% | (/.f64 x (exp.f64 x)) | |
| 31.8% | (-.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))) | |
| 35.5% | (-.f64 (+.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 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 54.8% | (-.f64 (+.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) | |
| 37.0% | (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64)) | |
| 44.6% | (+.f64 x #s(literal 1 binary64)) | |
| 32.9% | (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) | |
| ✓ | 44.0% | (+.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))))))) |
| 53.5% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) | |
| 43.9% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| ✓ | 76.6% | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
| 51.3% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) | |
| 68.5% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 37.2% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))) | |
| 37.2% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))))) | |
| 35.8% | (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) | |
| 35.8% | (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) | |
| 9.9% | (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) | |
| 35.6% | (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 65.5% | (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) | |
| 65.0% | (*.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 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))))))))) | |
| ✓ | 86.7% | (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
| ✓ | 44.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
| ✓ | 3.0% | x |
| ✓ | 44.8% | #s(literal 1 binary64) |
Compiled 2108 to 658 computations (68.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.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 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
(+.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 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.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 #s(literal 1/2 binary64) eps)) (*.f64 (+.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))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))))) |
(-.f64 (+.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 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (*.f64 x #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 #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 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(-.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (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 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))))))))) |
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #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 #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)) |
| 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:
| 34.0ms | x |
| 16.0ms | eps |
| 14.0ms | (-.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))))) |
| 12.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | eps |
| 98.9% | 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)) |
| 98.9% | 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 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.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 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
(+.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 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.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 #s(literal 1/2 binary64) eps)) (*.f64 (+.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))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))))) |
(-.f64 (+.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 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (*.f64 x #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 #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 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(-.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (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 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))))))))) |
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #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 #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:
| 17.0ms | x |
| 14.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 2 | x |
| 100.0% | 2 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.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 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
(+.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 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.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 #s(literal 1/2 binary64) eps)) (*.f64 (+.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))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))))) |
(-.f64 (+.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 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (*.f64 x #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 #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 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(-.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (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 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))))))))) |
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #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)))) |
| Outputs |
|---|
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
1 calls:
| 14.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 2 | eps |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.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 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
(+.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 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.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 #s(literal 1/2 binary64) eps)) (*.f64 (+.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))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))))) |
(-.f64 (+.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 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (*.f64 x #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 #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 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(/.f64 x (exp.f64 x)) |
| Outputs |
|---|
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
1 calls:
| 12.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 2 | eps |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.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 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
(+.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 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) |
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.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 #s(literal 1/2 binary64) eps)) (*.f64 (+.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))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))))) |
(-.f64 (+.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 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.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 1/2 binary64) eps) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (*.f64 x #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 #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 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #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 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
2 calls:
| 12.0ms | eps |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 3 | x |
| 79.5% | 1 | eps |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.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 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
(+.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 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x 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))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.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 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) |
2 calls:
| 4.0ms | x |
| 4.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | eps |
| 76.9% | 3 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
2 calls:
| 4.0ms | x |
| 3.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | eps |
| 51.3% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 x (*.f64 eps #s(literal -1/2 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
2 calls:
| 3.0ms | eps |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 2 | x |
| 48.2% | 2 | eps |
Compiled 6 to 4 computations (33.3% saved)
Total -27.0b remaining (-76.5%)
Threshold costs -27b (-76.5%)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 3.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 1 | eps |
| 44.8% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 4.005700144269364e-10 | 1.9063234016675085e-7 |
| 19.0ms | 128× | 0 | valid |
| 2.0ms | 19× | 0 | unsamplable |
Compiled 236 to 175 computations (25.8% saved)
ival-mult: 4.0ms (31% of total)ival-sub: 2.0ms (15.5% of total)ival-div: 2.0ms (15.5% of total)ival-exp: 2.0ms (15.5% of total)ival-add: 1.0ms (7.7% of total)ival-neg: 1.0ms (7.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 4.005700144269364e-10 | 1.9063234016675085e-7 |
| 16.0ms | 128× | 0 | valid |
| 2.0ms | 18× | 0 | unsamplable |
Compiled 220 to 159 computations (27.7% saved)
ival-mult: 4.0ms (30.9% of total)ival-sub: 2.0ms (15.4% of total)ival-div: 2.0ms (15.4% of total)ival-exp: 2.0ms (15.4% of total)ival-add: 1.0ms (7.7% of total)ival-neg: 1.0ms (7.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 6.930339114353888e+31 | 1.4241956855901795e+34 |
| 16.0ms | 112× | 0 | valid |
Compiled 183 to 135 computations (26.2% saved)
ival-mult: 3.0ms (29.4% of total)ival-sub: 2.0ms (19.6% of total)ival-div: 2.0ms (19.6% of total)ival-add: 1.0ms (9.8% of total)ival-exp: 1.0ms (9.8% of total)ival-neg: 1.0ms (9.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 4.0301929199827497e-16 | 4.5823186478970475e-14 |
| 32.0ms | -9.744464366156154e-150 | -1.451871896996279e-161 |
| 25.0ms | 31× | 2 | valid |
| 16.0ms | 50× | 1 | valid |
| 14.0ms | 111× | 0 | valid |
Compiled 368 to 259 computations (29.6% saved)
ival-div: 12.0ms (27.9% of total)ival-exp: 9.0ms (20.9% of total)ival-mult: 8.0ms (18.6% of total)ival-sub: 5.0ms (11.6% of total)ival-neg: 3.0ms (7% of total)backward-pass: 3.0ms (7% of total)ival-add: 3.0ms (7% of total)const: 1.0ms (2.3% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 4.0301929199827497e-16 | 4.5823186478970475e-14 |
| 11.0ms | 29× | 1 | valid |
| 9.0ms | 69× | 0 | valid |
| 8.0ms | 14× | 2 | valid |
Compiled 218 to 149 computations (31.7% saved)
ival-exp: 5.0ms (23.7% of total)ival-mult: 4.0ms (19% of total)ival-div: 3.0ms (14.2% of total)ival-sub: 3.0ms (14.2% of total)ival-neg: 3.0ms (14.2% of total)backward-pass: 2.0ms (9.5% of total)ival-add: 2.0ms (9.5% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 4.0301929199827497e-16 | 4.5823186478970475e-14 |
| 31.0ms | -1.3761726879962377e-33 | -1.298215043868698e-35 |
| 40.0ms | 128× | 0 | valid |
| 22.0ms | 41× | 2 | valid |
| 17.0ms | 55× | 1 | valid |
Compiled 344 to 247 computations (28.2% saved)
ival-add: 26.0ms (40.4% of total)ival-mult: 9.0ms (14% of total)ival-exp: 9.0ms (14% of total)ival-sub: 7.0ms (10.9% of total)ival-div: 6.0ms (9.3% of total)backward-pass: 4.0ms (6.2% of total)ival-neg: 3.0ms (4.7% of total)const: 1.0ms (1.6% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | -0.005192972036943846 | -0.0019594282587691823 |
| 8.0ms | 20× | 1 | valid |
| 7.0ms | 12× | 2 | valid |
| 6.0ms | 48× | 0 | valid |
Compiled 106 to 78 computations (26.4% saved)
ival-mult: 5.0ms (30.3% of total)ival-exp: 3.0ms (18.2% of total)ival-div: 2.0ms (12.1% of total)ival-sub: 2.0ms (12.1% of total)ival-neg: 1.0ms (6.1% of total)backward-pass: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 42× | *-commutative_binary64 |
| 24× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-mul-1_binary64 |
| 2× | sub0-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 187 |
| 1 | 104 | 187 |
| 2 | 109 | 187 |
| 3 | 112 | 187 |
| 4 | 113 | 187 |
| 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 7177997053961861/37778931862957161709568 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 7177997053961861/37778931862957161709568 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))) |
(if (<=.f64 eps #s(literal 70000000000000001954873692127232 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))) |
(if (<=.f64 x #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) (if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal -3507603929594167/2923003274661805836407369665432566039311865085952 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 2139160387885137/158456325028528675187087900672 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(if (<=.f64 x #s(literal -734987459186865/144115188075855872 binary64)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64))) |
#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 7177997053961861/37778931862957161709568 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 7177997053961861/37778931862957161709568 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 7177997053961861/37778931862957161709568 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))) |
(if (<=.f64 eps #s(literal 70000000000000001954873692127232 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))) |
(if (<=.f64 x #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) (if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) |
(if (<=.f64 x #s(literal -3507603929594167/2923003274661805836407369665432566039311865085952 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 2139160387885137/158456325028528675187087900672 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) |
(if (<=.f64 x #s(literal -734987459186865/144115188075855872 binary64)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
| 4232× | +-lowering-+.f64 |
| 4232× | +-lowering-+.f32 |
| 3658× | *-lowering-*.f32 |
| 3658× | *-lowering-*.f64 |
| 3544× | *-lowering-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 1879 |
| 1 | 843 | 1674 |
| 2 | 3153 | 1544 |
| 0 | 8983 | 1544 |
| 0 | 19 | 26 |
| 1 | 58 | 26 |
| 2 | 163 | 23 |
| 3 | 543 | 23 |
| 4 | 1479 | 22 |
| 5 | 5450 | 22 |
| 0 | 8248 | 22 |
| 0 | 315 | 5973 |
| 1 | 1159 | 5158 |
| 2 | 4510 | 4939 |
| 0 | 8426 | 4939 |
| 0 | 50 | 374 |
| 1 | 382 | 332 |
| 2 | 4695 | 317 |
| 0 | 8019 | 317 |
| 0 | 410 | 5618 |
| 1 | 1441 | 4895 |
| 2 | 5607 | 4658 |
| 0 | 8497 | 4658 |
| 0 | 37 | 339 |
| 1 | 287 | 334 |
| 2 | 3396 | 318 |
| 0 | 8086 | 318 |
| 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 565 to 328 computations (41.9% saved)
Compiled 508 to 206 computations (59.4% saved)
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