exp neg sub
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 482.0ms | 8 256× | 0 | valid |
ival-mult: 128.0ms (40.7% of total)ival-exp: 81.0ms (25.8% of total)ival-neg: 50.0ms (15.9% of total)ival-sub: 41.0ms (13% of total)ival-true: 6.0ms (1.9% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 30.0ms | 512× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-exp: 5.0ms (33.5% of total)ival-mult: 4.0ms (26.8% of total)ival-sub: 3.0ms (20.1% of total)ival-neg: 2.0ms (13.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 30 | 13 |
| 2 | 84 | 13 |
| 3 | 229 | 13 |
| 4 | 831 | 13 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 26 | 6 |
| 2 | 68 | 6 |
| 3 | 218 | 6 |
| 4 | 701 | 6 |
| 5 | 7925 | 6 |
| 0 | 8030 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(abs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| cost-diff | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 10 | 23 |
| 1 | 26 | 21 |
| 2 | 68 | 21 |
| 3 | 218 | 21 |
| 4 | 701 | 21 |
| 5 | 7925 | 21 |
| 0 | 8030 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
| Outputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 16.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-exp: 2.0ms (28.2% of total)ival-mult: 2.0ms (28.2% of total)ival-sub: 1.0ms (14.1% of total)ival-neg: 1.0ms (14.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
-1 |
(- (pow x 2) 1) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp (- (pow x 2) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x)) |
| 1.0ms | x | @ | 0 | ((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x)) |
| 0.0ms | x | @ | -inf | ((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 103 |
| 1 | 101 | 98 |
| 2 | 450 | 94 |
| 3 | 2770 | 91 |
| 0 | 8118 | 83 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (pow x 2) 1) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp (- (pow x 2) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp -1) |
(exp.f64 #s(literal -1 binary64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 42 | 19 |
| 2 | 283 | 19 |
| 3 | 2742 | 19 |
| 0 | 8499 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(neg.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) x)) x #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
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(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64)))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (fma.f64 x x #s(literal 1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))))))) |
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) x)))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 x x #s(literal -1 binary64))))))) (log.f64 #s(literal 4 binary64))) |
(-.f64 (log.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 #s(literal 4 binary64))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) |
(-.f64 (log.f64 (exp.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))))) |
(-.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) x))) |
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 x) x)) (log.f64 (E.f64))) |
(+.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) x) x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 7 466 to 1 125 computations (84.9% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 305 | 2 | 307 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 306 | 2 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 54.0% | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 0 | 13 | 29 |
| 1 | 34 | 25 |
| 2 | 101 | 25 |
| 3 | 288 | 25 |
| 4 | 928 | 25 |
| 5 | 6110 | 25 |
| 0 | 8385 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) | |
| accuracy | 30.118300958270986 | #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
| 31.0ms | 256× | 0 | valid |
Compiled 29 to 11 computations (62.1% saved)
ival-exp: 4.0ms (38.9% of total)ival-mult: 2.0ms (19.5% of total)ival-sub: 1.0ms (9.7% of total)ival-add: 1.0ms (9.7% of total)ival-neg: 1.0ms (9.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
| Outputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
-1 |
(- (pow x 2) 1) |
(exp (- (pow x 2) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1)) |
| 0.0ms | x | @ | -inf | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1)) |
| 0.0ms | x | @ | 0 | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (+ (* x x) -1)) (+ (* x x) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 81 |
| 1 | 90 | 77 |
| 2 | 413 | 73 |
| 3 | 2345 | 70 |
| 0 | 8200 | 62 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
-1 |
(- (pow x 2) 1) |
(exp (- (pow x 2) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
| Outputs |
|---|
(exp -1) |
(exp.f64 #s(literal -1 binary64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 13 | 26 |
| 1 | 60 | 22 |
| 2 | 404 | 22 |
| 3 | 4270 | 22 |
| 0 | 8280 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
| Outputs |
|---|
(pow.f64 (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (+.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (+.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))) (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))))) |
(-.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (sinh.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))) |
(exp.f64 (neg.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))))))) |
(+.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (sinh.f64 (neg.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))))) |
(+.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (sinh.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(*.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (E.f64) (-.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (E.f64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) x) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) x) (/.f64 (exp.f64 x) (E.f64))) |
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) x)) |
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))) |
(*.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (exp.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (exp.f64 x) x)) |
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 (exp.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 (exp.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64)))) |
(pow.f64 (*.f64 (*.f64 (E.f64) (exp.f64 x)) (*.f64 (E.f64) (exp.f64 x))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (exp.f64 x) (E.f64)) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (-.f64 x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) (tanh.f64 (log.f64 x))) |
(pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (/.f64 (exp.f64 x) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (exp.f64 x) (E.f64)) x)) |
(/.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
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(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(neg.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) x)) x #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x x))) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(fma.f64 x (sqrt.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 x (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(expm1.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal -1 binary64) (*.f64 x x)) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
Compiled 4 498 to 681 computations (84.9% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 228 | 1 | 229 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 228 | 3 | 231 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 56.6% | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
| ✓ | 54.0% | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Compiled 25 to 20 computations (20% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (neg (- 1 (* x x))) (*.f64 x x)) | |
| cost-diff | 0 | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 10 | 25 |
| 1 | 21 | 23 |
| 2 | 53 | 23 |
| 3 | 110 | 23 |
| 4 | 268 | 23 |
| 5 | 1657 | 23 |
| 6 | 6657 | 23 |
| 0 | 9181 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
#s(approx (neg (- 1 (* x x))) (*.f64 x x)) |
(*.f64 x x) |
x |
| Outputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
#s(approx (neg (- 1 (* x x))) (*.f64 x x)) |
(*.f64 x x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) | |
| accuracy | 32.88801102077114 | #s(approx (neg (- 1 (* x x))) (*.f64 x x)) |
| 15.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-exp: 2.0ms (28.2% of total)ival-mult: 2.0ms (28.2% of total)ival-sub: 1.0ms (14.1% of total)ival-neg: 1.0ms (14.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
#s(approx (neg (- 1 (* x x))) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
-1 |
(- (pow x 2) 1) |
(pow x 2) |
(exp (- (pow x 2) 1)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x)) |
| 0.0ms | x | @ | -inf | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x)) |
| 0.0ms | x | @ | 0 | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 81 |
| 1 | 90 | 77 |
| 2 | 413 | 73 |
| 3 | 2345 | 70 |
| 0 | 8200 | 62 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
-1 |
(- (pow x 2) 1) |
(pow x 2) |
(exp (- (pow x 2) 1)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
| Outputs |
|---|
(exp -1) |
(exp.f64 #s(literal -1 binary64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 10 | 24 |
| 1 | 37 | 22 |
| 2 | 236 | 22 |
| 3 | 2206 | 22 |
| 0 | 8468 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
#s(approx (neg (- 1 (* x x))) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(pow.f64 (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) (/.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) (fma.f64 (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))))))) |
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(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) x) x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
Compiled 3 342 to 263 computations (92.1% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 0 | 76 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 76 | 3 | 79 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 56.6% | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
| ✓ | 54.0% | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Compiled 57 to 37 computations (35.1% saved)
| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
5 calls:
| 2.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 x x) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 100.0% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 100.0% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 100.0% | 1 | x |
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
| Outputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (*.f64 x x) |
| 99.8% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.8% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 99.8% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 99.8% | 2 | x |
Compiled 22 to 18 computations (18.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
| Outputs |
|---|
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 1 | (*.f64 x x) |
| 54.0% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 54.0% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 54.0% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 54.0% | 1 | x |
Compiled 22 to 18 computations (18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.001799076955506721 | 16724627.857767414 |
| 8.0ms | 160× | 0 | valid |
Compiled 210 to 190 computations (9.5% saved)
ival-exp: 2.0ms (44% of total)ival-sub: 1.0ms (22% of total)ival-mult: 1.0ms (22% of total)ival-neg: 1.0ms (22% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 24 | 38 |
| 2 | 47 | 38 |
| 3 | 81 | 38 |
| 4 | 100 | 38 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 103 |
| 1 | 101 | 98 |
| 2 | 450 | 94 |
| 3 | 2770 | 91 |
| 0 | 8118 | 83 |
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 42 | 19 |
| 2 | 283 | 19 |
| 3 | 2742 | 19 |
| 0 | 8499 | 16 |
| 0 | 26 | 81 |
| 1 | 90 | 77 |
| 2 | 413 | 73 |
| 3 | 2345 | 70 |
| 0 | 8200 | 62 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 60 to 37 computations (38.3% saved)
(abs x)
Compiled 100 to 52 computations (48% saved)
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