
Time bar (total: 5.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 13 to 11 computations (15.4% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 827.0ms | 4033× | 1 | valid |
| 289.0ms | 4223× | 0 | valid |
ival-exp: 324.0ms (42.1% of total)ival-mult: 112.0ms (14.6% of total)ival-div: 99.0ms (12.9% of total)ival-add: 84.0ms (10.9% of total)ival-sub: 73.0ms (9.5% of total)backward-pass: 54.0ms (7% of total)const: 23.0ms (3% of total)| 2× | egg-herbie |
| 292× | sum3-define |
| 260× | fmsub-define |
| 180× | fma-define |
| 166× | fmm-def |
| 154× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 64 |
| 1 | 47 | 62 |
| 2 | 89 | 60 |
| 3 | 139 | 60 |
| 4 | 197 | 60 |
| 5 | 271 | 60 |
| 6 | 363 | 60 |
| 7 | 466 | 60 |
| 8 | 567 | 60 |
| 9 | 720 | 60 |
| 10 | 897 | 60 |
| 11 | 932 | 60 |
| 12 | 1016 | 60 |
| 13 | 1073 | 60 |
| 14 | 1082 | 60 |
| 15 | 1138 | 60 |
| 0 | 9 | 10 |
| 1 | 18 | 10 |
| 2 | 21 | 10 |
| 0 | 21 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
| Outputs |
|---|
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
| Inputs |
|---|
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1) |
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)) |
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) |
(- (/ 2 (+ 1 (exp (* -2 y)))) 1) |
| Outputs |
|---|
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1) |
(- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1) |
(+ (/ 2 (+ 1 (pow (exp x) 2))) -1) |
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
(+ (/ 2 (+ 1 (pow (exp -2) x))) -1) |
(neg (- (/ 2 (+ 1 (exp (* -2 (neg x))))) 1)) |
(+ 1 (/ 2 (- -1 (pow (exp x) 2)))) |
(neg (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) |
(+ 1 (/ 2 (- -1 (pow (exp -2) x)))) |
(- (/ 2 (+ 1 (exp (* -2 y)))) 1) |
(+ (/ 2 (+ 1 (pow (exp -2) y))) -1) |
(abs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 114 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 0 | 0 | - | 0 | - | #s(literal -2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal -2 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 65.0ms | 228× | 1 | valid |
| 31.0ms | 284× | 0 | valid |
Compiled 88 to 32 computations (63.6% saved)
ival-exp: 28.0ms (46.4% of total)ival-mult: 13.0ms (21.5% of total)ival-div: 5.0ms (8.3% of total)backward-pass: 5.0ms (8.3% of total)ival-add: 4.0ms (6.6% of total)ival-sub: 4.0ms (6.6% of total)const: 2.0ms (3.3% of total)Compiled 12 to 11 computations (8.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.8% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 6× | exp-lowering-exp.f32 |
| 6× | exp-lowering-exp.f64 |
| 4× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 18 | 35 |
| 2 | 21 | 35 |
| 0 | 21 | 35 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
2 |
(+ 1 (exp (* -2 x))) |
1 |
(exp (* -2 x)) |
(* -2 x) |
-2 |
x |
| Outputs |
|---|
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
2 |
#s(literal 2 binary64) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
1 |
#s(literal 1 binary64) |
(exp (* -2 x)) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -2 binary64) x) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| ✓ | accuracy | 58.8% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 62.0ms | 114× | 1 | valid |
| 12.0ms | 142× | 0 | valid |
Compiled 38 to 11 computations (71.1% saved)
ival-div: 23.0ms (47.4% of total)ival-mult: 9.0ms (18.5% of total)ival-exp: 9.0ms (18.5% of total)ival-add: 2.0ms (4.1% of total)ival-sub: 2.0ms (4.1% of total)backward-pass: 2.0ms (4.1% of total)const: 1.0ms (2.1% of total)| Inputs |
|---|
#<alt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (exp (* -2 x))> |
#<alt (* -2 x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))> |
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* x (- (* 2 x) 2)))> |
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt (+ 1 (exp (* -2 x)))> |
#<alt 1> |
#<alt (+ 1 (* -2 x))> |
#<alt (+ 1 (* x (- (* 2 x) 2)))> |
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (exp (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
| 1.0ms | x | @ | 0 | (* -2 x) |
| 1.0ms | x | @ | -inf | (- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
| 1.0ms | x | @ | 0 | (- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
| 0.0ms | x | @ | -inf | (/ 2 (+ 1 (exp (* -2 x)))) |
| 1× | batch-egg-rewrite |
| 3016× | *-lowering-*.f32 |
| 3016× | *-lowering-*.f64 |
| 2840× | /-lowering-/.f32 |
| 2840× | /-lowering-/.f64 |
| 1586× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 48 | 31 |
| 2 | 385 | 31 |
| 3 | 6221 | 31 |
| 0 | 8242 | 31 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ 2 (+ 1 (exp (* -2 x)))) 1) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(+ 1 (exp (* -2 x))) |
(exp (* -2 x)) |
(* -2 x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))) |
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64)))))) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) x) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal -4 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) |
(log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))) |
(+.f64 (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))) (log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x))) |
(*.f64 x #s(literal -2 binary64)) |
| 1× | egg-herbie |
| 2240× | sum3-define |
| 1752× | *-lowering-*.f32 |
| 1752× | *-lowering-*.f64 |
| 1508× | sum5-define |
| 1320× | fnmadd-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 387 |
| 1 | 130 | 371 |
| 2 | 308 | 363 |
| 3 | 817 | 363 |
| 4 | 1900 | 363 |
| 5 | 2736 | 363 |
| 6 | 3205 | 363 |
| 7 | 3956 | 363 |
| 8 | 6691 | 363 |
| 0 | 8068 | 363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
(+ 1 (exp (* -2 x))) |
1 |
(+ 1 (* -2 x)) |
(+ 1 (* x (- (* 2 x) 2))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(exp (* -2 x)) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 2 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 1 (* x (- (* 2 x) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
Compiled 6425 to 833 computations (87% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 8 | 274 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 266 | 9 | 275 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.8% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
| 29.9% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64)) | |
| 29.8% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)) | |
| ▶ | 29.4% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) |
| ✓ | 58.8% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ▶ | 45.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
| ▶ | 46.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
| 45.1% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) | |
| ▶ | 47.6% | x |
Compiled 260 to 182 computations (30% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
| 2426× | *-lowering-*.f32 |
| 2426× | *-lowering-*.f64 |
| 1772× | --lowering--.f32 |
| 1772× | --lowering--.f64 |
| 1324× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 287 |
| 1 | 102 | 265 |
| 2 | 313 | 261 |
| 3 | 920 | 261 |
| 4 | 2324 | 261 |
| 5 | 4064 | 261 |
| 6 | 7609 | 261 |
| 0 | 8321 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x)))))) |
(- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) |
1 |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
4 |
(pow (+ 1 (exp (* -2 x))) 2) |
(+ 1 (exp (* -2 x))) |
(exp (* -2 x)) |
(* -2 x) |
-2 |
x |
2 |
(- -1 (/ 2 (+ 1 (exp (* -2 x))))) |
-1 |
(/ 2 (+ 1 (exp (* -2 x)))) |
x |
(- (/ 2 (+ 2 (* x -2))) 1) |
(/ 2 (+ 2 (* x -2))) |
2 |
(+ 2 (* x -2)) |
(* x -2) |
x |
-2 |
1 |
(* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))) |
x |
(+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))) |
1 |
(* x (* x (+ -1/3 (* (* x x) 2/15)))) |
(* x (+ -1/3 (* (* x x) 2/15))) |
(+ -1/3 (* (* x x) 2/15)) |
-1/3 |
(* (* x x) 2/15) |
(* x x) |
2/15 |
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))) |
1 |
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) |
(* x x) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
-1/3 |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(+ 2/15 (* (* x x) -17/315)) |
2/15 |
(* (* x x) -17/315) |
-17/315 |
| Outputs |
|---|
(/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) |
4 |
#s(literal 4 binary64) |
(pow (+ 1 (exp (* -2 x))) 2) |
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) |
(+ 1 (exp (* -2 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
(exp (* -2 x)) |
(exp.f64 (*.f64 #s(literal -2 binary64) x)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
x |
2 |
#s(literal 2 binary64) |
(- -1 (/ 2 (+ 1 (exp (* -2 x))))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
-1 |
#s(literal -1 binary64) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
x |
(- (/ 2 (+ 2 (* x -2))) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))) |
(/ 2 (+ 2 (* x -2))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* x -2)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(* x -2) |
(*.f64 #s(literal -2 binary64) x) |
x |
-2 |
#s(literal -2 binary64) |
1 |
#s(literal 1 binary64) |
(* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))) |
x |
(+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))) |
1 |
#s(literal 1 binary64) |
(* x (* x (+ -1/3 (* (* x x) 2/15)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(* x (+ -1/3 (* (* x x) 2/15))) |
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) |
(+ -1/3 (* (* x x) 2/15)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))) |
-1/3 |
#s(literal -1/3 binary64) |
(* (* x x) 2/15) |
(*.f64 x (*.f64 x #s(literal 2/15 binary64))) |
(* x x) |
(*.f64 x x) |
2/15 |
#s(literal 2/15 binary64) |
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
x |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(* x x) |
(*.f64 x x) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
-1/3 |
#s(literal -1/3 binary64) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(+ 2/15 (* (* x x) -17/315)) |
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(* (* x x) -17/315) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
-17/315 |
#s(literal -17/315 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 58.8% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| ✓ | accuracy | 100.0% | (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
| ✓ | accuracy | 58.8% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) |
| 110.0ms | 114× | 1 | valid |
| 53.0ms | 142× | 0 | valid |
Compiled 290 to 38 computations (86.9% saved)
ival-mult: 30.0ms (29% of total)...c/correct-round.rkt:119:19: 16.0ms (15.5% of total)ival-div: 13.0ms (12.6% of total)ival-add: 12.0ms (11.6% of total)ival-exp: 10.0ms (9.7% of total)backward-pass: 9.0ms (8.7% of total)ival-sub: 8.0ms (7.7% of total)ival-pow: 4.0ms (3.9% of total)const: 1.0ms (1% of total)| Inputs |
|---|
#<alt (/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x))))))> |
#<alt (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2)))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt (- (/ 2 (+ 2 (* x -2))) 1)> |
#<alt (/ 2 (+ 2 (* x -2)))> |
#<alt (+ 2 (* x -2))> |
#<alt (* x -2)> |
#<alt (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))))> |
#<alt (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))> |
#<alt (* x (* x (+ -1/3 (* (* x x) 2/15))))> |
#<alt (* x (+ -1/3 (* (* x x) 2/15)))> |
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))> |
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))> |
#<alt (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))> |
#<alt (* x x)> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (* (* x x) 2/15)> |
#<alt (* (* x x) -17/315)> |
#<alt (* (* x x) (+ 2/15 (* (* x x) -17/315)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))> |
#<alt (* -2 x)> |
#<alt (* x (- (* -1 x) 2))> |
#<alt (* x (- (* x (- (* 2/3 x) 1)) 2))> |
#<alt (* x (- (* x (- (* x (+ 2/3 (* 2/3 x))) 1)) 2))> |
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))> |
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))> |
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))> |
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))> |
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))> |
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))> |
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))> |
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))> |
#<alt 1> |
#<alt (+ 1 (* 2 x))> |
#<alt (+ 1 (* x (+ 2 x)))> |
#<alt (+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x))))))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))> |
#<alt 4> |
#<alt (+ 4 (* -8 x))> |
#<alt (+ 4 (* x (- (* 12 x) 8)))> |
#<alt (+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8)))> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt (pow (+ 1 (exp (* -2 x))) 2)> |
#<alt x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 (* x (+ 1 x))))> |
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 x)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)> |
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))> |
#<alt -1> |
#<alt (* -1 (+ 1 (/ 1 x)))> |
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)> |
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 x)))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))> |
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))> |
#<alt 2> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* -2 x))> |
#<alt (+ 2 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* x (- (* 2 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1/3 x)> |
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 2/15 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))> |
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (/ 2 (+ 1 (exp (* -2 x))))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* -17/315 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x)))))) |
| 3.0ms | x | @ | inf | (* (* x x) -17/315) |
| 2.0ms | x | @ | inf | (/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x)))))) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))) |
| 1.0ms | x | @ | 0 | (/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x)))))) |
| 1× | batch-egg-rewrite |
| 5410× | *-lowering-*.f32 |
| 5410× | *-lowering-*.f64 |
| 3052× | +-lowering-+.f64 |
| 3052× | +-lowering-+.f32 |
| 2918× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 214 |
| 1 | 252 | 183 |
| 2 | 2388 | 178 |
| 0 | 10421 | 178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x)))))) |
(- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(pow (+ 1 (exp (* -2 x))) 2) |
(- (/ 2 (+ 2 (* x -2))) 1) |
(/ 2 (+ 2 (* x -2))) |
(+ 2 (* x -2)) |
(* x -2) |
(* x (+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15)))))) |
(+ 1 (* x (* x (+ -1/3 (* (* x x) 2/15))))) |
(* x (* x (+ -1/3 (* (* x x) 2/15)))) |
(* x (+ -1/3 (* (* x x) 2/15))) |
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) |
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))) |
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) |
(* x x) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(* (* x x) 2/15) |
(* (* x x) -17/315) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) #s(literal 4 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 4 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) #s(literal 4 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) #s(literal 4 binary64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))) |
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(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -17/315 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))))) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)))) (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))) (*.f64 x x)) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) (*.f64 x x)) (-.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) x) |
| 1× | egg-herbie |
| 3102× | *-lowering-*.f32 |
| 3102× | *-lowering-*.f64 |
| 2360× | +-lowering-+.f64 |
| 2360× | +-lowering-+.f32 |
| 1338× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 2119 |
| 1 | 510 | 2044 |
| 2 | 1388 | 1994 |
| 3 | 4226 | 1977 |
| 0 | 8230 | 1977 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(* -2 x) |
(* x (- (* -1 x) 2)) |
(* x (- (* x (- (* 2/3 x) 1)) 2)) |
(* x (- (* x (- (* x (+ 2/3 (* 2/3 x))) 1)) 2)) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* x (+ 2 x))) |
(+ 1 (* x (+ 2 (* x (+ 1 (* -2/3 x)))))) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
(/ 4 (pow (+ 1 (exp (* -2 x))) 2)) |
4 |
(+ 4 (* -8 x)) |
(+ 4 (* x (- (* 12 x) 8))) |
(+ 4 (* x (- (* x (+ 12 (* -40/3 x))) 8))) |
(pow (+ 1 (exp (* -2 x))) 2) |
(pow (+ 1 (exp (* -2 x))) 2) |
(pow (+ 1 (exp (* -2 x))) 2) |
(pow (+ 1 (exp (* -2 x))) 2) |
(pow (+ 1 (exp (* -2 x))) 2) |
(pow (+ 1 (exp (* -2 x))) 2) |
(pow (+ 1 (exp (* -2 x))) 2) |
(pow (+ 1 (exp (* -2 x))) 2) |
x |
(* x (+ 1 x)) |
(* x (+ 1 (* x (+ 1 x)))) |
(* x (+ 1 (* x (+ 1 (* x (+ 1 x)))))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) |
-1 |
(* -1 (+ 1 (/ 1 x))) |
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 x))) |
(+ 1 (* x (+ 1 (* x (+ 1 x))))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x) |
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(+ 2 (* -2 x)) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* x (- (* 2 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* 2/15 (pow x 5)) |
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4)))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* -1/3 x) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* 2/15 (pow x 3)) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2))))) |
(* 2/15 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15))) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -1 x) 2)) |
(*.f64 x (-.f64 #s(literal -2 binary64) x)) |
(* x (- (* x (- (* 2/3 x) 1)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64)))))) |
(* x (- (* x (- (* x (+ 2/3 (* 2/3 x))) 1)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal 1 binary64)))))))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) |
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(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -17/315 (pow x 7)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -17/315 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
(* -17/315 (pow x 6)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))) |
(* -17/315 (pow x 6)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))) |
(* -1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(* -17/315 (pow x 6)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* -17/315 (pow x 6)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* -1/3 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) |
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(/ 2 (+ 1 (exp (* -2 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* -17/315 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
(* 2/15 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2/15 binary64)) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* -17/315 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* -17/315 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
Compiled 19166 to 1847 computations (90.4% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 731 | 4 | 735 |
| Fresh | 3 | 0 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 736 | 8 | 744 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 58.8% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
| ✓ | 58.8% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ▶ | 45.0% | (+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) x) |
| ▶ | 45.0% | (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)))) |
| ✓ | 46.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
| ▶ | 45.1% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | 47.6% | x |
| ▶ | 28.2% | #s(literal -1 binary64) |
Compiled 121 to 80 computations (33.9% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| 1960× | fma-define |
| 1752× | fma-lowering-fma.f32 |
| 1752× | fma-lowering-fma.f64 |
| 614× | *-lowering-*.f32 |
| 614× | *-lowering-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 256 |
| 1 | 85 | 226 |
| 2 | 258 | 213 |
| 3 | 910 | 209 |
| 4 | 1943 | 209 |
| 5 | 2136 | 209 |
| 6 | 2180 | 209 |
| 7 | 2180 | 209 |
| 8 | 2657 | 209 |
| 0 | 2657 | 209 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1 |
(* x (+ 1 (* x (* x -1/3)))) |
x |
(+ 1 (* x (* x -1/3))) |
1 |
(* x (* x -1/3)) |
(* x -1/3) |
-1/3 |
(* x (+ (* -1/3 (* x x)) (+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1))) |
x |
(+ (* -1/3 (* x x)) (+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1)) |
(* -1/3 (* x x)) |
-1/3 |
(* x x) |
(+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1) |
(* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(+ 2/15 (* (* x x) -17/315)) |
2/15 |
(* (* x x) -17/315) |
-17/315 |
1 |
(+ (* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) x) |
(* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) |
x |
(* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))) |
(* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
-1/3 |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(* x x) |
(+ 2/15 (* (* x x) -17/315)) |
2/15 |
(* (* x x) -17/315) |
-17/315 |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(* x (+ 1 (* x (* x -1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
x |
(+ 1 (* x (* x -1/3))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(* x (* x -1/3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* x -1/3) |
(*.f64 x #s(literal -1/3 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(* x (+ (* -1/3 (* x x)) (+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
x |
(+ (* -1/3 (* x x)) (+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
(* -1/3 (* x x)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
-1/3 |
#s(literal -1/3 binary64) |
(* x x) |
(*.f64 x x) |
(+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(+ 2/15 (* (* x x) -17/315)) |
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(* (* x x) -17/315) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
-17/315 |
#s(literal -17/315 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) |
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 x (*.f64 x x))) |
x |
(* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) |
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
-1/3 |
#s(literal -1/3 binary64) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 2/15 (* (* x x) -17/315)) |
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) |
2/15 |
#s(literal 2/15 binary64) |
(* (* x x) -17/315) |
(*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
-17/315 |
#s(literal -17/315 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/3 binary64)) |
| 88.0ms | 256× | 0 | valid |
Compiled 262 to 26 computations (90.1% saved)
ival-add: 21.0ms (39.9% of total)ival-mult: 20.0ms (38% of total)...c/correct-round.rkt:119:19: 11.0ms (20.9% of total)const: 1.0ms (1.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* x (* x -1/3))))> |
#<alt (+ 1 (* x (* x -1/3)))> |
#<alt (* x (* x -1/3))> |
#<alt (* x -1/3)> |
#<alt (* x (+ (* -1/3 (* x x)) (+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1)))> |
#<alt (+ (* -1/3 (* x x)) (+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1))> |
#<alt (* -1/3 (* x x))> |
#<alt (* x x)> |
#<alt (+ (* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) x)> |
#<alt (* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))> |
#<alt (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))> |
#<alt (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))> |
#<alt (* (* x x) -17/315)> |
#<alt (* (* x x) (+ 2/15 (* (* x x) -17/315)))> |
#<alt (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315))))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt (* -1/3 x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -1/3 x)> |
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))> |
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))> |
#<alt (* -17/315 (pow x 5))> |
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))> |
#<alt (* -17/315 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* -17/315 (pow x 2))> |
#<alt (* 2/15 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* -17/315 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 (pow x 4))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* 2/15 (pow x 4))> |
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* -17/315 (pow x 6))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* x (+ 1 (* x (* x -1/3)))) |
| 0.0ms | x | @ | 0 | (* x (+ 1 (* x (* x -1/3)))) |
| 0.0ms | x | @ | -inf | (* x -1/3) |
| 0.0ms | x | @ | inf | (* x (* x -1/3)) |
| 0.0ms | x | @ | inf | (+ (* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) x) |
| 1× | batch-egg-rewrite |
| 4944× | *-lowering-*.f32 |
| 4944× | *-lowering-*.f64 |
| 3522× | /-lowering-/.f32 |
| 3522× | /-lowering-/.f64 |
| 1808× | frac-times |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 181 |
| 1 | 165 | 147 |
| 2 | 1451 | 144 |
| 0 | 8282 | 144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* x (* x -1/3)))) |
(+ 1 (* x (* x -1/3))) |
(* x (* x -1/3)) |
(* x -1/3) |
(* x (+ (* -1/3 (* x x)) (+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1))) |
(+ (* -1/3 (* x x)) (+ (* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) 1)) |
(* -1/3 (* x x)) |
(* x x) |
(+ (* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) x) |
(* x (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))) |
(* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))) |
(* x (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) |
(* (* x x) -17/315) |
(* (* x x) (+ 2/15 (* (* x x) -17/315))) |
(* (* x x) (* (* x x) (+ 2/15 (* (* x x) -17/315)))) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 3014× | *-lowering-*.f32 |
| 3014× | *-lowering-*.f64 |
| 1612× | /-lowering-/.f32 |
| 1612× | /-lowering-/.f64 |
| 1524× | +-lowering-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 1535 |
| 1 | 223 | 1475 |
| 2 | 652 | 1430 |
| 3 | 2285 | 1426 |
| 4 | 7121 | 1413 |
| 0 | 8083 | 1413 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* -1/3 (pow x 2))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
(* -1/3 x) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* -1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(* -1/3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* -1/3 (pow x 3)) |
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* -17/315 (pow x 7)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 7)) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1/3 (pow x 2)) |
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -1/3 x) |
(* x (- (* 2/15 (pow x 2)) 1/3)) |
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)) |
(* -17/315 (pow x 5)) |
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(* -17/315 (pow x 5)) |
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* -17/315 (pow x 2)) |
(* 2/15 (pow x 2)) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 4)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* 2/15 (pow x 4)) |
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))) |
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* -17/315 (pow x 6)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(+ 1 (* -1/3 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 (pow x 2)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
x |
(* x (+ 1 (* -1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) |
(* -17/315 (pow x 7)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -17/315 (pow x 7)) |
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x)))) |
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(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) |
(* 2/15 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) |
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -17/315 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -17/315 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315)) |
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
Compiled 34019 to 1987 computations (94.2% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 794 | 0 | 794 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 4 | 4 |
| Total | 794 | 8 | 802 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 58.8% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
| ✓ | 58.8% | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| ✓ | 45.0% | (+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) x) |
| ✓ | 45.0% | (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)))) |
| ✓ | 46.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
| ✓ | 45.1% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
| ✓ | 47.6% | x |
| ✓ | 28.2% | #s(literal -1 binary64) |
Compiled 297 to 148 computations (50.2% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) x) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
x |
#s(literal -1 binary64) |
7 calls:
| 6.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 4.0ms | (*.f64 #s(literal -2 binary64) x) |
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 63.5% | 3 | y |
| 100.0% | 3 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 100.0% | 3 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 100.0% | 3 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 100.0% | 3 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 100.0% | 3 | (*.f64 #s(literal -2 binary64) x) |
Compiled 47 to 39 computations (17% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) x) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
x |
#s(literal -1 binary64) |
6 calls:
| 6.0ms | (*.f64 #s(literal -2 binary64) x) |
| 5.0ms | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 4.0ms | x |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 3 | (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) |
| 100.0% | 3 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
| 100.0% | 3 | (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
| 100.0% | 3 | (exp.f64 (*.f64 #s(literal -2 binary64) x)) |
| 100.0% | 3 | (*.f64 #s(literal -2 binary64) x) |
Compiled 44 to 37 computations (15.9% saved)
| Inputs |
|---|
#s(literal -1 binary64) |
x |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) x) |
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(literal -1 binary64) |
x |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1 binary64) |
| Outputs |
|---|
#s(literal -1 binary64) |
2 calls:
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | y |
| 28.2% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.6936196227358035e-9 | 1797.2413548499705 |
| 0.0ms | -1.565494469769734 | -7.647480828489473e-10 |
Compiled 17 to 14 computations (17.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.6936196227358035e-9 | 1797.2413548499705 |
| 0.0ms | -1.565494469769734 | -7.647480828489473e-10 |
Compiled 17 to 14 computations (17.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | -898.6206774249853 | -2.8468098113679018e-9 |
| 17.0ms | 160× | 0 | valid |
Compiled 97 to 84 computations (13.4% saved)
ival-exp: 9.0ms (68.6% of total)ival-div: 1.0ms (7.6% of total)ival-sub: 1.0ms (7.6% of total)ival-add: 1.0ms (7.6% of total)ival-mult: 1.0ms (7.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 18× | *-commutative_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 68 |
| 1 | 35 | 68 |
| 2 | 52 | 68 |
| 3 | 72 | 68 |
| 4 | 85 | 68 |
| 5 | 91 | 68 |
| 6 | 92 | 68 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/302231454903657293676544 binary64)) x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/302231454903657293676544 binary64)) x #s(literal -1 binary64))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
| Outputs |
|---|
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/302231454903657293676544 binary64)) x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/302231454903657293676544 binary64)) x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/302231454903657293676544 binary64)) x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3022314549036573/302231454903657293676544 binary64)) x #s(literal -1 binary64))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
| 3102× | *-lowering-*.f32 |
| 3102× | *-lowering-*.f64 |
| 3016× | *-lowering-*.f32 |
| 3016× | *-lowering-*.f64 |
| 2840× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 387 |
| 1 | 130 | 371 |
| 2 | 308 | 363 |
| 3 | 817 | 363 |
| 4 | 1900 | 363 |
| 5 | 2736 | 363 |
| 6 | 3205 | 363 |
| 7 | 3956 | 363 |
| 8 | 6691 | 363 |
| 0 | 8068 | 363 |
| 0 | 180 | 2119 |
| 1 | 510 | 2044 |
| 2 | 1388 | 1994 |
| 3 | 4226 | 1977 |
| 0 | 8230 | 1977 |
| 0 | 9 | 31 |
| 1 | 48 | 31 |
| 2 | 385 | 31 |
| 3 | 6221 | 31 |
| 0 | 8242 | 31 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 137 to 83 computations (39.4% saved)
(abs y)
Compiled 242 to 118 computations (51.2% saved)
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