
Time bar (total: 9.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 12 to 10 computations (16.7% saved)
| 1.3s | 1 552× | 5 | exit |
| 1.2s | 2 592× | 2 | valid |
| 824.0ms | 3 564× | 1 | valid |
| 369.0ms | 3 329× | 0 | invalid |
| 228.0ms | 2 100× | 0 | valid |
ival-cos: 1.2s (33.7% of total)ival-fmod: 865.0ms (24.8% of total)ival-exp: 649.0ms (18.6% of total)adjust: 315.0ms (9% of total)ival-sqrt: 259.0ms (7.4% of total)ival-mult: 151.0ms (4.3% of total)ival-neg: 57.0ms (1.6% of total)ival-true: 11.0ms (0.3% of total)ival-assert: 6.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 195 | 0 | - | 195 | (-1.602277151135574e-56) | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 1 | 0 | - | 0 | - | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (cos.f64 x)) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | u*o | 1 | 0 |
| ↳ | (exp.f64 x) | underflow | 1 | |
| ↳ | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | underflow | 1 | |
| ↳ | (exp.f64 (neg.f64 x)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 245 |
| - | 0 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 245 |
| - | 0 | 0 | 10 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 160× | 2 | valid |
| 48.0ms | 226× | 1 | valid |
| 18.0ms | 100× | 1 | exit |
| 3.0ms | 26× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-exp: 57.0ms (35.8% of total)ival-fmod: 56.0ms (35.2% of total)ival-cos: 19.0ms (11.9% of total)adjust: 11.0ms (6.9% of total)ival-sqrt: 8.0ms (5% of total)ival-mult: 6.0ms (3.8% of total)ival-neg: 3.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 39 | 21 |
| 2 | 86 | 21 |
| 3 | 287 | 21 |
| 4 | 1742 | 21 |
| 0 | 8 | 10 |
| 0 | 15 | 10 |
| 1 | 31 | 10 |
| 2 | 60 | 9 |
| 3 | 161 | 9 |
| 4 | 724 | 9 |
| 5 | 6573 | 9 |
| 0 | 8339 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
Compiled 10 to 8 computations (20% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (cos.f64 x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 15 | 29 |
| 1 | 31 | 29 |
| 2 | 60 | 28 |
| 3 | 161 | 28 |
| 4 | 724 | 28 |
| 5 | 6573 | 28 |
| 0 | 8339 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.0078125 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 62.0ms | 113× | 1 | valid |
| 33.0ms | 80× | 2 | valid |
| 7.0ms | 50× | 1 | exit |
| 1.0ms | 13× | 0 | valid |
Compiled 31 to 10 computations (67.7% saved)
ival-fmod: 52.0ms (56.5% of total)ival-exp: 18.0ms (19.5% of total)ival-cos: 9.0ms (9.8% of total)adjust: 5.0ms (5.4% of total)ival-sqrt: 4.0ms (4.3% of total)ival-mult: 3.0ms (3.3% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(cos x) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x)) |
| 1.0ms | x | @ | inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x)) |
| 1.0ms | x | @ | -inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 218 |
| 1 | 225 | 197 |
| 2 | 665 | 191 |
| 3 | 2324 | 181 |
| 4 | 5205 | 181 |
| 0 | 8264 | 165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(cos x) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 15 | 23 |
| 1 | 33 | 23 |
| 2 | 140 | 22 |
| 3 | 1043 | 22 |
| 0 | 8469 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
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(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 (*.f64 x #s(literal -1 binary64)))) |
(exp.f64 x) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))) |
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64))) |
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x))) |
(pow.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(sqrt.f64 (cos.f64 x)) |
(fabs.f64 (sqrt.f64 (cos.f64 x))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))))) |
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) (+.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) (+.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)) (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)) (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(exp.f64 (log.f64 (cos.f64 x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x))))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))))) |
(+.f64 (cosh.f64 (log.f64 (cos.f64 x))) (sinh.f64 (log.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))) |
Compiled 4 654 to 803 computations (82.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 5 | 181 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 177 | 5 | 182 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| ▶ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 23.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ▶ | 7.6% | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ▶ | 5.9% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
Compiled 164 to 118 computations (28% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) | |
| cost-diff | 0 | (sqrt.f64 (cos.f64 x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 (cos.f64 x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 0 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| cost-diff | 0 | (sqrt.f64 (cos.f64 x)) | |
| cost-diff | 0 | #s(approx (exp x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 250 |
| 0 | 65 | 250 |
| 1 | 113 | 250 |
| 2 | 303 | 247 |
| 3 | 1175 | 247 |
| 0 | 8492 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) |
(pow.f64 (sinh.f64 x) #s(literal 3 binary64)) |
(sinh.f64 x) |
#s(literal 3 binary64) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(cosh.f64 x) |
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(cosh.f64 (+.f64 x x)) |
(+.f64 x x) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) |
(pow.f64 (sinh.f64 x) #s(literal 3 binary64)) |
(sinh.f64 x) |
#s(literal 3 binary64) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(cosh.f64 x) |
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) |
(cosh.f64 (+.f64 x x)) |
(cosh.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (sinh.f64 x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) | |
| accuracy | 0.017910009768442016 | (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.021816259768442016 | (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.00390625 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| accuracy | 0.0078125 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.284879032956873 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.0078125 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 1.1533114145900678 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.0078125 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| accuracy | 1.1478813160150223 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 46.37388133439269 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| 153.0ms | 77× | 2 | valid |
| 58.0ms | 115× | 1 | valid |
| 24.0ms | 51× | 1 | exit |
| 3.0ms | 13× | 0 | valid |
Compiled 219 to 28 computations (87.2% saved)
ival-cosh: 69.0ms (33.2% of total)ival-exp: 47.0ms (22.6% of total)adjust: 22.0ms (10.6% of total)ival-mult: 14.0ms (6.7% of total)ival-fmod: 14.0ms (6.7% of total)ival-pow: 12.0ms (5.8% of total)ival-cos: 9.0ms (4.3% of total)ival-div: 6.0ms (2.9% of total)ival-sqrt: 4.0ms (1.9% of total)ival-add: 4.0ms (1.9% of total)ival-sub: 2.0ms (1% of total)ival-sinh: 2.0ms (1% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
(sqrt.f64 (cos.f64 x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(cos.f64 x) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(pow.f64 (sinh.f64 x) #s(literal 3 binary64)) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(cos x) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (cos x) (pow (cosh x) 3) (pow (sinh x) 3)) |
| 10.0ms | x | @ | -inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (cos x) (pow (cosh x) 3) (pow (sinh x) 3)) |
| 3.0ms | x | @ | 0 | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (cos x) (pow (cosh x) 3) (pow (sinh x) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 695 |
| 1 | 648 | 620 |
| 2 | 2344 | 603 |
| 0 | 8354 | 567 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(cos x) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -3/2 binary64) (neg.f64 x))) (*.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 11/8 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (*.f64 x x) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 3/2 (pow x 2))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 7/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/240 binary64) (*.f64 x x) #s(literal 7/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 13/120 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 41/3024 binary64) (*.f64 x x) #s(literal 13/120 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) |
(cos x) |
(cos.f64 x) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 154 |
| 0 | 65 | 154 |
| 1 | 183 | 154 |
| 0 | 1244 | 154 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
(sqrt.f64 (cos.f64 x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(cos.f64 x) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(pow.f64 (sinh.f64 x) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x)) |
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))) |
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))) |
(+.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) |
(exp.f64 x) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) |
(fma.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(fma.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))) |
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 6 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) (pow.f64 (sinh.f64 x) #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 6 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (exp.f64 x))) |
(*.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(/.f64 (/.f64 (*.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (exp.f64 x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (fma.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64))) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (fma.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fma.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 6 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) (pow.f64 (sinh.f64 x) #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 6 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64)))) |
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (exp.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) |
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (sinh.f64 x))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (sinh.f64 x) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)))) |
Compiled 6 735 to 741 computations (89% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 239 | 6 | 245 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 243 | 7 | 250 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
| ✓ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 23.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 7.6% | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) | |
| ▶ | 7.1% | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ▶ | 6.9% | (*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ▶ | 5.9% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
Compiled 337 to 235 computations (30.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| cost-diff | 0 | #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (exp x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 434 |
| 0 | 80 | 434 |
| 1 | 136 | 434 |
| 2 | 356 | 432 |
| 3 | 1368 | 432 |
| 0 | 8228 | 432 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
#s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -3/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(cosh.f64 (+.f64 x x)) |
(+.f64 x x) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
(cosh.f64 x) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(cosh.f64 x) |
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(cosh.f64 (+.f64 x x)) |
(+.f64 x x) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -3/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) |
(cosh.f64 (+.f64 x x)) |
(cosh.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (sinh.f64 x)) |
(sinh.f64 x) |
(cosh.f64 x) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(cosh.f64 x) |
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) |
(cosh.f64 (+.f64 x x)) |
(cosh.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (sinh.f64 x)) |
(sinh.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) | |
| accuracy | 0.021816259768442016 | (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.6354345321275865 | #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.0078125 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.01171875 | (sinh.f64 x) | |
| accuracy | 0.4784233042295463 | #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.00390625 | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) | |
| accuracy | 0.284879032956873 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.284879032956873 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 1.1533114145900678 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.284879032956873 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 1.1478813160150223 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 46.37388133439269 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
| 111.0ms | 115× | 1 | valid |
| 73.0ms | 77× | 2 | valid |
| 40.0ms | 51× | 1 | exit |
| 4.0ms | 13× | 0 | valid |
Compiled 321 to 33 computations (89.7% saved)
adjust: 61.0ms (32.2% of total)ival-fmod: 33.0ms (17.4% of total)ival-exp: 19.0ms (10% of total)ival-pow: 16.0ms (8.4% of total)ival-mult: 14.0ms (7.4% of total)ival-cos: 11.0ms (5.8% of total)ival-div: 8.0ms (4.2% of total)ival-cosh: 8.0ms (4.2% of total)ival-add: 6.0ms (3.2% of total)ival-sub: 5.0ms (2.6% of total)ival-sqrt: 4.0ms (2.1% of total)ival-sinh: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(exp.f64 x) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
(*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
#s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sinh.f64 x) |
(sqrt.f64 (cos.f64 x)) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ 1 (* -3/2 (pow x 2))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 2) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))) |
(* -3/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 3/2)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (* (+ (* -3/2 (* x x)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (* x x)) 1) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (fmod (exp x) (sqrt (cos x))) (sinh x) (sqrt (cos x)) (pow (sinh x) 3) (pow (cosh x) 3)) |
| 4.0ms | x | @ | -inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (* (+ (* -3/2 (* x x)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (* x x)) 1) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (fmod (exp x) (sqrt (cos x))) (sinh x) (sqrt (cos x)) (pow (sinh x) 3) (pow (cosh x) 3)) |
| 1.0ms | x | @ | 0 | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (* (+ (* -3/2 (* x x)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (* x x)) 1) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (fmod (exp x) (sqrt (cos x))) (sinh x) (sqrt (cos x)) (pow (sinh x) 3) (pow (cosh x) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 766 |
| 1 | 706 | 685 |
| 2 | 2595 | 668 |
| 0 | 8602 | 628 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ 1 (* -3/2 (pow x 2))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 2) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))) |
(* -3/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 3/2)) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -3/2 binary64) (neg.f64 x))) (*.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 11/8 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (*.f64 x x) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ 1 (* -3/2 (pow x 2))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 13/120 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 41/3024 binary64) (*.f64 x x) #s(literal 13/120 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ 1 (* 3/2 (pow x 2))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 7/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/240 binary64) (*.f64 x x) #s(literal 7/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) |
(* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* (pow x 2) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x))) (*.f64 x x)) |
(* -3/2 (pow x 2)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 3/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) x) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 267 |
| 0 | 80 | 267 |
| 1 | 233 | 267 |
| 2 | 1583 | 267 |
| 0 | 8440 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(exp.f64 x) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
(*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
#s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sinh.f64 x) |
(sqrt.f64 (cos.f64 x)) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (-.f64 (*.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))) (*.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) |
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64)) |
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(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(sinh.f64 x) |
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sinh.f64 x))) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (sinh.f64 x))) (sinh.f64 (log.f64 (sinh.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (cosh.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (cosh.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (fabs.f64 (cosh.f64 x))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cosh.f64 x))) |
(pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) #s(literal -8 binary64)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64)) |
(sqrt.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(fabs.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) |
Compiled 25 414 to 1 879 computations (92.6% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 4 | 555 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 552 | 10 | 562 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.6% | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
| ✓ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 12.2% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 15.9% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 26.1% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 23.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 7.1% | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ✓ | 7.1% | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ✓ | 6.9% | (*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ✓ | 5.9% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
Compiled 255 to 179 computations (29.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 0 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) | |
| cost-diff | 2 | (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 418 |
| 0 | 88 | 418 |
| 1 | 147 | 410 |
| 2 | 374 | 407 |
| 3 | 1282 | 407 |
| 4 | 7664 | 407 |
| 0 | 8005 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) |
(cosh.f64 x) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(cosh.f64 (+.f64 x x)) |
(+.f64 x x) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) |
(cosh.f64 x) |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) |
(cosh.f64 (+.f64 x x)) |
(cosh.f64 (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.284879032956873 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.3080750305789155 | #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 46.37388133439269 | (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.284879032956873 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.43777374553840126 | #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 46.37388133439269 | (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.284879032956873 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.6374247247087447 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 46.37388133439269 | (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) | |
| accuracy | 0.6354345321275865 | #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 46.37388133439269 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 98.0ms | 115× | 1 | valid |
| 86.0ms | 77× | 2 | valid |
| 30.0ms | 51× | 1 | exit |
| 5.0ms | 13× | 0 | valid |
Compiled 284 to 44 computations (84.5% saved)
adjust: 33.0ms (20.3% of total)ival-pow: 26.0ms (16% of total)ival-exp: 17.0ms (10.4% of total)ival-mult: 17.0ms (10.4% of total)ival-fmod: 16.0ms (9.8% of total)ival-cos: 12.0ms (7.4% of total)ival-add: 11.0ms (6.8% of total)ival-cosh: 8.0ms (4.9% of total)ival-pow2: 5.0ms (3.1% of total)ival-sqrt: 4.0ms (2.5% of total)const: 4.0ms (2.5% of total)ival-div: 3.0ms (1.8% of total)ival-sub: 2.0ms (1.2% of total)ival-sinh: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
1 |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
x |
(* x (+ 1 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(sqrt (cos x)) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((pow (pow (cosh x) 3/2) 2) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (pow (cosh x) 3/2) 2))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (pow (cosh x) 3/2) 2))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (pow (sinh x) 3) (sqrt (cos x))) |
| 4.0ms | x | @ | inf | ((pow (pow (cosh x) 3/2) 2) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (pow (cosh x) 3/2) 2))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (pow (cosh x) 3/2) 2))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (pow (sinh x) 3) (sqrt (cos x))) |
| 1.0ms | x | @ | 0 | ((pow (pow (cosh x) 3/2) 2) (* (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (pow (cosh x) 3/2) 2))) (- (cosh (+ x x)) (* (sinh x) (cosh x)))) (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (pow (cosh x) 3/2) 2))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (pow (sinh x) 3) (sqrt (cos x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 720 |
| 1 | 646 | 621 |
| 2 | 2265 | 604 |
| 0 | 8611 | 565 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
x |
(* x (+ 1 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(sqrt (cos x)) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 3/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 3/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 7/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/240 binary64) (*.f64 x x) #s(literal 7/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (* 2 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (* x (- (* -2/3 (fmod (exp x) (sqrt (cos x)))) (+ (* -3/2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ (* -3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* (pow x 2) (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -3/2 binary64) (neg.f64 x))) (*.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* (pow x 2) (- (* x (- (* -1 (* x (+ (* -9/4 (fmod (exp x) (sqrt (cos x)))) (* 7/8 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (* 3/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 11/8 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (*.f64 x x) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (* 1/2 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 13/120 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 41/3024 binary64) (*.f64 x x) #s(literal 13/120 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(/ (* (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) |
(/ (fmod (exp x) (sqrt (cos x))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) #s(literal 1/8 binary64)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(exp x) |
(exp.f64 x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(/ (* (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (fmod (exp x) (sqrt (cos x)))) (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 270 |
| 0 | 88 | 264 |
| 1 | 286 | 264 |
| 2 | 1955 | 264 |
| 0 | 8564 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal 9/4 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (cosh.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (cosh.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 9/4 binary64)) #s(literal 1 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 9/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/4 binary64)) (fabs.f64 (pow.f64 (cosh.f64 x) #s(literal 9/4 binary64)))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 9/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 9/4 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (fabs.f64 (cosh.f64 x))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) #s(literal -8 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64)) |
(sqrt.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(fabs.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64)))) (-.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) (pow.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 (*.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))) (*.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 3 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (neg.f64 (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (neg.f64 (neg.f64 (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (neg.f64 (neg.f64 (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (neg.f64 (*.f64 (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (neg.f64 (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (*.f64 (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 3 binary64))) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 x) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))))) |
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(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
Compiled 12 624 to 1 270 computations (89.9% saved)
16 alts after pruning (6 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 6 | 270 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 6 | 6 |
| Total | 264 | 16 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.6% | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
| 12.2% | (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) | |
| 26.1% | (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) | |
| ✓ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 12.2% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 15.9% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 26.1% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 15.0% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 17.6% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 49.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 13.5% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 23.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 7.1% | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ✓ | 7.1% | (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ✓ | 6.9% | (*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| ✓ | 5.9% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
Compiled 1 044 to 473 computations (54.7% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 #s(approx (/ (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (*.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 3 | x |
| 62.6% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) |
2 calls:
| 5.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 63.8% | 3 | x |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
1 calls:
| 2.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.1% | 1 | x |
| 26.1% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.5% | 2 | x |
| 25.5% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 9 computations (18.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.9% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 5.9% | 1 | x |
Compiled 11 to 9 computations (18.2% saved)
| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.749342595324015e-6 | 4.841965838877534e+20 |
| 41.0ms | -1.4796474485855227e-93 | -2.2822219046655497e-105 |
| 33.0ms | 160× | 1 | valid |
| 11.0ms | 101× | 0 | invalid |
Compiled 863 to 632 computations (26.8% saved)
ival-exp: 12.0ms (32.5% of total)ival-fmod: 8.0ms (21.6% of total)ival-cos: 6.0ms (16.2% of total)adjust: 3.0ms (8.1% of total)ival-sqrt: 3.0ms (8.1% of total)ival-neg: 3.0ms (8.1% of total)ival-mult: 2.0ms (5.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.7493390809326914e-6 | 0.9999999999999999 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.7493390809326914e-6 | 0.9999999999999999 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | binary-search |
| 1× | predicate-failed |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 3.749342595324015e-6 | 4.841965838877534e+20 |
| 35.0ms | 101× | 0 | invalid |
Compiled 13 to 12 computations (7.7% saved)
ival-fmod: 18.0ms (71.9% of total)ival-cos: 3.0ms (12% of total)ival-exp: 2.0ms (8% of total)ival-sqrt: 1.0ms (4% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 339 |
| 1 | 111 | 339 |
| 2 | 186 | 337 |
| 3 | 472 | 337 |
| 4 | 1487 | 337 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(if (<=.f64 x #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))))) |
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(if (<=.f64 x #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 766 |
| 1 | 706 | 685 |
| 2 | 2595 | 668 |
| 0 | 8602 | 628 |
| 0 | 50 | 270 |
| 0 | 88 | 264 |
| 1 | 286 | 264 |
| 2 | 1955 | 264 |
| 0 | 8564 | 264 |
| 0 | 193 | 720 |
| 1 | 646 | 621 |
| 2 | 2265 | 604 |
| 0 | 8611 | 565 |
| 0 | 196 | 695 |
| 1 | 648 | 620 |
| 2 | 2344 | 603 |
| 0 | 8354 | 567 |
| 0 | 76 | 218 |
| 1 | 225 | 197 |
| 2 | 665 | 191 |
| 3 | 2324 | 181 |
| 4 | 5205 | 181 |
| 0 | 8264 | 165 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 733 to 381 computations (48% saved)
Compiled 698 to 174 computations (75.1% saved)
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