exp neg sub
Time bar (total: 4.6s)
| 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)
| 505.0ms | 8 256× | 0 | valid |
ival-exp: 121.0ms (42% of total)ival-mult: 75.0ms (26.1% of total)ival-sub: 41.0ms (14.2% of total)ival-neg: 34.0ms (11.8% of total)ival-true: 6.0ms (2.1% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)adjust: 2.0ms (0.7% 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 |
| 33.0ms | 512× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-exp: 11.0ms (52% of total)ival-mult: 4.0ms (18.9% of total)ival-sub: 2.0ms (9.5% of total)ival-neg: 2.0ms (9.5% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 0.00390625 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 17.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-exp: 2.0ms (29% of total)ival-mult: 2.0ms (29% of total)ival-sub: 1.0ms (14.5% of total)ival-neg: 1.0ms (14.5% of total)ival-true: 0.0ms (0% of total)adjust: 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 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 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 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 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 (-.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)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 304 | 3 | 307 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 305 | 3 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 79.8% | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))) |
| ▶ | 50.9% | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Compiled 33 to 25 computations (24.2% saved)
| 1× | egg-herbie |
Found 8 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 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) | |
| cost-diff | 0 | #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)) | |
| cost-diff | 0 | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))) | |
| 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 | 17 | 103 |
| 0 | 26 | 103 |
| 1 | 55 | 95 |
| 2 | 139 | 95 |
| 3 | 372 | 95 |
| 4 | 1169 | 95 |
| 5 | 7790 | 95 |
| 0 | 8015 | 95 |
| 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 #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))) |
#s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(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 #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))) |
#s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) | |
| accuracy | 0.27653322331002106 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 12.463305056318402 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) | |
| accuracy | 0.00390625 | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) | |
| accuracy | 32.12164631716506 | #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
| 41.0ms | 256× | 0 | valid |
Compiled 79 to 15 computations (81% saved)
ival-exp: 20.0ms (62.5% of total)ival-mult: 5.0ms (15.6% of total)ival-div: 2.0ms (6.2% of total)ival-sub: 2.0ms (6.2% of total)ival-add: 1.0ms (3.1% of total)ival-neg: 1.0ms (3.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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 #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))) |
#s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.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) |
(/ -1 x) |
(/ (- (pow x 2) 1) x) |
(/ 1 (pow x 2)) |
(exp (- (pow x 2) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (* (- 1 (/ 1 (* x x))) x) x) (* (- 1 (/ 1 (* x x))) x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ 1 (* x x))) |
| 1.0ms | x | @ | 0 | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (* (- 1 (/ 1 (* x x))) x) x) (* (- 1 (/ 1 (* x x))) x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ 1 (* x x))) |
| 1.0ms | x | @ | -inf | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (* (- 1 (/ 1 (* x x))) x) x) (* (- 1 (/ 1 (* x x))) x) (exp (+ (* x x) -1)) (+ (* x x) -1) (/ 1 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 116 |
| 1 | 105 | 112 |
| 2 | 438 | 108 |
| 3 | 2396 | 103 |
| 0 | 8083 | 95 |
| 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) |
(/ -1 x) |
(/ (- (pow x 2) 1) x) |
(/ 1 (pow x 2)) |
(exp (- (pow x 2) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
| 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)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (pow x 2) 1) x) |
(+.f64 x (/.f64 #s(literal -1 binary64) x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(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) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 88 |
| 0 | 26 | 88 |
| 1 | 95 | 70 |
| 2 | 627 | 70 |
| 3 | 7960 | 70 |
| 0 | 8124 | 70 |
| 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 #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))) |
#s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| Outputs |
|---|
(/.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)))))) |
(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 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 2 binary64))) (-.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (+.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 3 binary64))) (-.f64 (cosh.f64 (+.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))))) (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 2 binary64)) (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))))) (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))) #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x))))) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))))))) |
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(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (neg.f64 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 (neg.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 (neg.f64 x) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #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 (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal -1 binary64) (*.f64 x x)) |
(+.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 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(+.f64 (*.f64 x x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) x) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(sqrt.f64 (pow.f64 x #s(literal -4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) |
Compiled 6 213 to 985 computations (84.1% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 2 | 270 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 269 | 4 | 273 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 58.9% | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
| ✓ | 50.9% | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Compiled 36 to 26 computations (27.8% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 4 | (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 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 | 12 | 56 |
| 0 | 19 | 48 |
| 1 | 47 | 46 |
| 2 | 133 | 42 |
| 3 | 352 | 42 |
| 4 | 1068 | 42 |
| 5 | 6639 | 42 |
| 0 | 8070 | 38 |
| 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 |
(exp.f64 (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)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 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 |
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 x x #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 x x #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) | |
| accuracy | 31.767077194107 | #s(approx (neg (- 1 (* x x))) (*.f64 x x)) |
| 70.0ms | 256× | 0 | valid |
Compiled 52 to 13 computations (75% saved)
ival-sub: 21.0ms (64.4% of total)ival-mult: 5.0ms (15.3% of total)ival-exp: 4.0ms (12.3% of total)ival-add: 1.0ms (3.1% of total)ival-neg: 1.0ms (3.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 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) |
(pow x 2) |
(- x 1) |
(exp (- (pow x 2) 1)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(exp (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (pow x 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (+ (* (- x 1) x) (* (- x 1) 1)) (* (- x 1) 1) (exp (+ (* (- x 1) x) (* (- x 1) 1))) (- x 1)) |
| 1.0ms | x | @ | 0 | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (+ (* (- x 1) x) (* (- x 1) 1)) (* (- x 1) 1) (exp (+ (* (- x 1) x) (* (- x 1) 1))) (- x 1)) |
| 1.0ms | x | @ | inf | ((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* x x) (+ (* (- x 1) x) (* (- x 1) 1)) (* (- x 1) 1) (exp (+ (* (- x 1) x) (* (- x 1) 1))) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 106 |
| 1 | 132 | 102 |
| 2 | 531 | 98 |
| 3 | 3014 | 95 |
| 0 | 8364 | 86 |
| 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) |
(- x 1) |
(exp (- (pow x 2) 1)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(exp (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (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) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(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) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(exp (+ (* -1 x) (+ (* -1 (+ 1 (* -1 x))) (pow x 2)))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 53 |
| 0 | 19 | 45 |
| 1 | 86 | 39 |
| 2 | 648 | 39 |
| 0 | 8396 | 35 |
| 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) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (-.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))))) #s(literal 4 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (-.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 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)))))) |
(exp.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 3 binary64)) (fma.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (-.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (-.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) (pow.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) |
(+.f64 (cosh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) (sinh.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))) |
#s(approx (neg (- 1 (* x x))) (*.f64 x x)) |
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(expm1.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64)))) |
Compiled 13 515 to 1 717 computations (87.3% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 1 | 552 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 2 | 2 |
| Total | 552 | 4 | 556 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 58.9% | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
| ✓ | 50.9% | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Compiled 34 to 25 computations (26.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 4 | (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 22 |
| 0 | 9 | 22 |
| 1 | 21 | 20 |
| 2 | 56 | 16 |
| 3 | 159 | 16 |
| 4 | 600 | 16 |
| 5 | 4370 | 16 |
| 0 | 8631 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
| 12.0ms | 256× | 0 | valid |
Compiled 26 to 8 computations (69.2% saved)
ival-sub: 2.0ms (29% of total)ival-exp: 2.0ms (29% of total)ival-mult: 2.0ms (29% of total)ival-add: 1.0ms (14.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
| 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))))))) |
(- x 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp (- (pow x 2) 1)) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((+ (* (- x 1) x) (- x 1)) (exp (+ (* (- x 1) x) (- x 1))) (- x 1)) |
| 0.0ms | x | @ | -inf | ((+ (* (- x 1) x) (- x 1)) (exp (+ (* (- x 1) x) (- x 1))) (- x 1)) |
| 0.0ms | x | @ | 0 | ((+ (* (- x 1) x) (- x 1)) (exp (+ (* (- x 1) x) (- x 1))) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 100 |
| 1 | 103 | 96 |
| 2 | 435 | 92 |
| 3 | 2379 | 89 |
| 0 | 8083 | 81 |
| 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))))))) |
(- x 1) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp (- (pow x 2) 1)) |
x |
(* x (- 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 x) 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)))) |
(- x 1) |
(-.f64 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) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
x |
(* x (- 1 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 20 |
| 0 | 9 | 20 |
| 1 | 47 | 14 |
| 2 | 384 | 14 |
| 3 | 6362 | 14 |
| 0 | 8095 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 x (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (-.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
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(fma.f64 (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (exp.f64 x) (E.f64)) (*.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (exp.f64 x) (E.f64)))) |
(fma.f64 (cosh.f64 (-.f64 x #s(literal 1 binary64))) (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 (sinh.f64 (-.f64 x #s(literal 1 binary64))) (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (cosh.f64 (-.f64 x #s(literal 1 binary64))) (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (sinh.f64 (-.f64 x #s(literal 1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (cosh.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (sinh.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (exp.f64 x) (E.f64)) (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (exp.f64 x) (E.f64)) (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))) (cosh.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))) (sinh.f64 (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (+.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x)))) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x)))) |
(-.f64 (+.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x)) (cosh.f64 #s(literal -1 binary64)))) (*.f64 (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (pow.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(-.f64 (*.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x)) (cosh.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (sinh.f64 #s(literal 1 binary64)) (cosh.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x))) (-.f64 (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(+.f64 (+.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (cosh.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (sinh.f64 (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (+.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (cosh.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (sinh.f64 (-.f64 x #s(literal 1 binary64))) (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) |
(+.f64 (+.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (sinh.f64 (-.f64 x #s(literal 1 binary64))) (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) (*.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (cosh.f64 (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (exp.f64 x) (E.f64))) (*.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (exp.f64 x) (E.f64)))) |
(+.f64 (*.f64 (cosh.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sinh.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (E.f64)) (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (*.f64 (/.f64 (exp.f64 x) (E.f64)) (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))) (cosh.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 x #s(literal 1 binary64))) (sinh.f64 (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 (pow.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))))))) |
(+.f64 (*.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (cosh.f64 (-.f64 x #s(literal 1 binary64)))) (fma.f64 (sinh.f64 (-.f64 x #s(literal 1 binary64))) (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (*.f64 (sinh.f64 (-.f64 x #s(literal 1 binary64))) (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (cosh.f64 (-.f64 x #s(literal 1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (cosh.f64 (-.f64 x #s(literal 1 binary64)))) (fma.f64 (sinh.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (sinh.f64 (-.f64 x #s(literal 1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 0 binary64)) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (-.f64 x #s(literal 0 binary64)) x #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 x (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 (-.f64 x #s(literal 0 binary64)) x) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))) |
Compiled 8 839 to 1 081 computations (87.8% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 0 | 318 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 318 | 4 | 322 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 58.9% | (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))) |
| ✓ | 50.9% | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
Compiled 105 to 54 computations (48.6% 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)))) |
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
5 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 2.0ms | (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 |
|---|---|---|
| 99.4% | 2 | (*.f64 x x) |
| 99.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.4% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 99.4% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 99.4% | 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 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (-.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 |
|---|---|---|
| 50.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 50.9% | 1 | (*.f64 x x) |
| 50.9% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 50.9% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 50.9% | 1 | x |
Compiled 22 to 18 computations (18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.007755956568291116 | 27.57486862914978 |
| 6.0ms | 128× | 0 | valid |
Compiled 170 to 154 computations (9.4% saved)
ival-sub: 1.0ms (28.1% of total)ival-exp: 1.0ms (28.1% of total)ival-mult: 1.0ms (28.1% of total)ival-neg: 1.0ms (28.1% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 32 | 116 |
| 1 | 105 | 112 |
| 2 | 438 | 108 |
| 3 | 2396 | 103 |
| 0 | 8083 | 95 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 38 to 16 computations (57.9% saved)
(abs x)
Compiled 100 to 52 computations (48% saved)
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