
Time bar (total: 13.2s)
| 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)
| 2.1s | 1 623× | 5 | exit |
| 1.4s | 2 695× | 2 | valid |
| 931.0ms | 3 543× | 1 | valid |
| 411.0ms | 3 345× | 0 | invalid |
| 355.0ms | 2 018× | 0 | valid |
ival-cos: 1.7s (39.6% of total)ival-fmod: 904.0ms (20.9% of total)ival-exp: 702.0ms (16.2% of total)adjust: 398.0ms (9.2% of total)ival-sqrt: 312.0ms (7.2% of total)ival-mult: 229.0ms (5.3% of total)ival-neg: 57.0ms (1.3% of total)ival-true: 10.0ms (0.2% of total)ival-assert: 6.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 189 | 0 | - | 189 | (2.6321358588377568e-222) | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 4 | 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 | 1 | (-200.1797293478378) | 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 | 4 | 0 |
| ↳ | (exp.f64 x) | underflow | 4 | |
| ↳ | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | underflow | 4 | |
| ↳ | (exp.f64 (neg.f64 x)) | overflow | 4 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 4 | 245 |
| - | 1 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 4 | 0 | 245 |
| - | 1 | 0 | 6 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 623.0ms | 112× | 5 | exit |
| 73.0ms | 150× | 2 | valid |
| 56.0ms | 222× | 1 | valid |
| 3.0ms | 28× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-cos: 571.0ms (80.1% of total)ival-fmod: 44.0ms (6.2% of total)ival-exp: 42.0ms (5.9% of total)adjust: 21.0ms (2.9% of total)ival-sqrt: 21.0ms (2.9% of total)ival-mult: 8.0ms (1.1% of total)ival-neg: 4.0ms (0.6% of total)ival-true: 1.0ms (0.1% of total)ival-assert: 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 |
|---|---|---|
| ▶ | 6.7% | (*.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 | 0.01171875 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.9882922542033008 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| accuracy | 44.67658460552592 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 288.0ms | 56× | 5 | exit |
| 38.0ms | 75× | 2 | valid |
| 24.0ms | 111× | 1 | valid |
| 2.0ms | 14× | 0 | valid |
Compiled 31 to 10 computations (67.7% saved)
ival-cos: 236.0ms (76.5% of total)ival-exp: 23.0ms (7.5% of total)ival-fmod: 20.0ms (6.5% of total)adjust: 14.0ms (4.5% of total)ival-sqrt: 9.0ms (2.9% of total)ival-mult: 4.0ms (1.3% of total)ival-neg: 2.0ms (0.6% 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))) |
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(-.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)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 173 | 8 | 181 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 173 | 9 | 182 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.7% | (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
| 6.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| ✓ | 6.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 6.5% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| ▶ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
| 6.5% | (*.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))) | |
| ▶ | 25.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ▶ | 5.1% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
| ▶ | 5.8% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
Compiled 312 to 222 computations (28.8% saved)
| 1× | egg-herbie |
Found 20 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 | 10 | (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (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))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) | |
| 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 | (*.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)))) | |
| cost-diff | 0 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) | |
| 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 | 42 | 338 |
| 0 | 72 | 338 |
| 1 | 119 | 329 |
| 2 | 296 | 324 |
| 3 | 807 | 324 |
| 4 | 4193 | 324 |
| 0 | 8357 | 324 |
| 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) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.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)))) |
(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(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 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (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))) |
(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)) |
(-.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 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) |
(-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) |
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) |
#s(literal -19/5760 binary64) |
(*.f64 x x) |
#s(literal 1/96 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 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) |
(cosh.f64 x) |
(*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(sinh.f64 (neg.f64 x)) |
(neg.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) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.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)))) |
(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(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 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (*.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)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (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))) |
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(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)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.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 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) |
(-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) |
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
#s(literal -19/5760 binary64) |
(*.f64 x x) |
#s(literal 1/96 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (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))) (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) |
(cosh.f64 x) |
(*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(sinh.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.9882922542033008 | (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| accuracy | 0.9883142465074978 | (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| accuracy | 44.67658460552592 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.2578125 | (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) | |
| accuracy | 0.9882922542033008 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 1.3794494781779396 | #s(approx (sqrt (cos x)) (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))) | |
| accuracy | 44.67658460552592 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) | |
| accuracy | 0.01171875 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.0234375 | (*.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)))) | |
| accuracy | 1.6433978274784986 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) | |
| accuracy | 44.67658460552592 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.0 | (cos.f64 x) | |
| accuracy | 0.01171875 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 2.337910882826865 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| accuracy | 44.67658460552592 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.01171875 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.9882922542033008 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| accuracy | 2.3299751851747814 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 44.67658460552592 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| 192.0ms | 56× | 5 | exit |
| 132.0ms | 186× | 1 | valid |
| 4.0ms | 14× | 0 | valid |
Compiled 262 to 34 computations (87% saved)
ival-cos: 113.0ms (41.3% of total)adjust: 41.0ms (15% of total)ival-mult: 28.0ms (10.2% of total)ival-fmod: 20.0ms (7.3% of total)ival-exp: 20.0ms (7.3% of total)ival-cosh: 14.0ms (5.1% of total)const: 11.0ms (4% of total)ival-add: 8.0ms (2.9% of total)ival-sinh: 7.0ms (2.6% of total)ival-sqrt: 5.0ms (1.8% of total)ival-sub: 5.0ms (1.8% of total)ival-neg: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 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) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.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)))) |
(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)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) |
#s(approx (sqrt (cos x)) (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))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(cos.f64 x) |
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) |
(*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (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 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
-1 |
(- (* 1/2 x) 1) |
(+ 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))) |
(* -1/96 x) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* -1 (* x (fmod (exp x) (sqrt (cos x))))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* -1/6 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* -1/120 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/120 (fmod (exp x) (sqrt (cos x)))) (* -1/5040 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x)))))) |
(cos x) |
(* -19/5760 (pow x 3)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x))))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x)))))) |
(* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | 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))) (* (+ (* (+ (* 1/2 x) -1) x) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (cos x) (* (- (* -19/5760 (* x x)) 1/96) x) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) |
| 3.0ms | 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))) (* (+ (* (+ (* 1/2 x) -1) x) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (cos x) (* (- (* -19/5760 (* x x)) 1/96) x) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) |
| 2.0ms | 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))) (* (+ (* (+ (* 1/2 x) -1) x) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (cos x) (* (- (* -19/5760 (* x x)) 1/96) x) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 638 |
| 1 | 493 | 570 |
| 2 | 1655 | 535 |
| 3 | 5060 | 517 |
| 0 | 8518 | 493 |
| 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 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
-1 |
(- (* 1/2 x) 1) |
(+ 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))) |
(* -1/96 x) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(* -1 (* x (fmod (exp x) (sqrt (cos x))))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* -1/6 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* -1/120 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/120 (fmod (exp x) (sqrt (cos x)))) (* -1/5040 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x)))))) |
(cos x) |
(* -19/5760 (pow x 3)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x))))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x)))))) |
(* 1/2 (* (- (exp (* -1 x)) (/ 1 (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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 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)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (-.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 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(-.f64 (*.f64 #s(literal 1/2 binary64) 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)) |
(* -1/96 x) |
(*.f64 #s(literal -1/96 binary64) x) |
(* x (- (* -19/5760 (pow x 2)) 1/96)) |
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) |
(* -1 (* x (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* -1/6 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -1 binary64)))) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* -1/120 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) x) |
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* -1/120 (fmod (exp x) (sqrt (cos x)))) (* -1/5040 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(* (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)) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) |
(*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x))) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) |
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (- 1/2 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(cos x) |
(cos.f64 x) |
(* -19/5760 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -19/5760 binary64)) |
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal -19/5760 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (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)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 218 |
| 0 | 72 | 218 |
| 1 | 198 | 209 |
| 2 | 1220 | 209 |
| 0 | 8211 | 209 |
| 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) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.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)))) |
(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)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) |
#s(approx (sqrt (cos x)) (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))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(cos.f64 x) |
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) |
(*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
| 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 (*.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))) (*.f64 (*.f64 (sinh.f64 (neg.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 (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 (*.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))) (cosh.f64 x))) (*.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.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 (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))))) |
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(+.f64 (*.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) |
(*.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 361/33177600 binary64)) #s(literal 1/9216 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal 1/96 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -6859/191102976000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/884736 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 361/33177600 binary64) (fma.f64 (*.f64 x x) #s(literal -19/552960 binary64) #s(literal 1/9216 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 361/33177600 binary64)) #s(literal 1/9216 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal 1/96 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal -6859/191102976000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/884736 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 361/33177600 binary64) (fma.f64 (*.f64 x x) #s(literal -19/552960 binary64) #s(literal 1/9216 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 361/33177600 binary64)) #s(literal 1/9216 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal 1/96 binary64))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -6859/191102976000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/884736 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 361/33177600 binary64) (fma.f64 (*.f64 x x) #s(literal -19/552960 binary64) #s(literal 1/9216 binary64)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 361/33177600 binary64)) #s(literal 1/9216 binary64))) (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal 1/96 binary64))) |
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -6859/191102976000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/884736 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 361/33177600 binary64) (fma.f64 (*.f64 x x) #s(literal -19/552960 binary64) #s(literal 1/9216 binary64)))) |
(*.f64 (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))) (sinh.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.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 (neg.f64 (*.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 (*.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 (*.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)) |
(neg.f64 (*.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
Compiled 24 038 to 1 959 computations (91.9% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 605 | 11 | 616 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 609 | 16 | 625 |
| Status | Accuracy | Program |
|---|---|---|
| 3.3% | (fma.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (/.f64 (*.f64 (*.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (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))) (exp.f64 x)))) | |
| 6.5% | (/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x)) | |
| ✓ | 6.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ▶ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
| 6.5% | (*.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))) | |
| ✓ | 25.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ▶ | 25.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) | |
| ▶ | 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 25.3% | (*.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))) | |
| ▶ | 6.7% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
| 5.0% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (-.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)))) (sqrt.f64 (cos.f64 x)))) | |
| ▶ | 5.1% | #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))))) |
| 5.8% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) | |
| 5.8% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
Compiled 849 to 526 computations (38% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) | |
| cost-diff | 0 | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) | |
| cost-diff | 9 | (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.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 | (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 509 |
| 0 | 85 | 509 |
| 1 | 152 | 499 |
| 2 | 456 | 482 |
| 3 | 1580 | 467 |
| 0 | 8974 | 467 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 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 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
#s(literal -1/96 binary64) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(exp.f64 x) |
x |
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
#s(literal 1/2 binary64) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x)) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 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 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
#s(literal -1/96 binary64) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(exp.f64 x) |
x |
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 #s(literal 2 binary64) (exp.f64 x)) |
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.9882922542033008 | (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) | |
| accuracy | 44.590208847983284 | (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) | |
| accuracy | 44.67658460552592 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.1640625 | (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) | |
| accuracy | 0.9882922542033008 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| accuracy | 1.2933239617941283 | #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 44.67658460552592 | (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| accuracy | 0.9882922542033008 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 1.407528779123115 | #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 2.3299751851747814 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 44.67658460552592 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 1.5154388454909808 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 2.337910882826865 | #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 | 44.67658460552592 | (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 | 0.9882922542033008 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| accuracy | 1.2933239617941283 | #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 2.3299751851747814 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 44.67658460552592 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
| 92.0ms | 73× | 2 | valid |
| 91.0ms | 118× | 1 | valid |
| 21.0ms | 55× | 0 | exit |
| 12.0ms | 1× | 5 | exit |
| 3.0ms | 9× | 0 | valid |
Compiled 309 to 37 computations (88% saved)
adjust: 43.0ms (24% of total)ival-exp: 32.0ms (17.8% of total)ival-cos: 23.0ms (12.8% of total)ival-mult: 21.0ms (11.7% of total)ival-fmod: 12.0ms (6.7% of total)const: 11.0ms (6.1% of total)ival-cosh: 10.0ms (5.6% of total)ival-add: 10.0ms (5.6% of total)ival-sub: 8.0ms (4.5% of total)ival-sqrt: 4.0ms (2.2% of total)ival-sinh: 4.0ms (2.2% of total)ival-neg: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 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 (*.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) |
#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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(sqrt.f64 (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))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- x 2))) |
(+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) |
(* 1/2 (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))) |
(* 1/24 (pow x 2)) |
(* -2 x) |
(* x (- (* -1/3 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2520 (pow x 2)) 1/60)) 1/3)) 2)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(* 2 (exp (neg x))) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x)))))) |
(cos x) |
(- (exp (neg x)) (exp x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* 2 (exp (* -1 x))) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x)))))) |
(- (exp (* -1 x)) (exp x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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) (sqrt (cos 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 (neg x))) (fmod (exp x) (sqrt (cos x))) (+ (- (exp (neg x)) (exp x)) (+ (exp (neg x)) (exp x))) (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (* (* 1/2 (fmod (exp x) (sqrt (cos x)))) (+ (- (exp (neg x)) (exp x)) (+ (exp (neg x)) (exp x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))) (cos x) (* 1/24 (* x x)) (fmod (exp x) (sqrt (cos x))) (- (exp (neg x)) (exp x)) (sqrt (cos x))) |
| 2.0ms | 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) (sqrt (cos 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 (neg x))) (fmod (exp x) (sqrt (cos x))) (+ (- (exp (neg x)) (exp x)) (+ (exp (neg x)) (exp x))) (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (* (* 1/2 (fmod (exp x) (sqrt (cos x)))) (+ (- (exp (neg x)) (exp x)) (+ (exp (neg x)) (exp x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))) (cos x) (* 1/24 (* x x)) (fmod (exp x) (sqrt (cos x))) (- (exp (neg x)) (exp x)) (sqrt (cos x))) |
| 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) (sqrt (cos 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 (neg x))) (fmod (exp x) (sqrt (cos x))) (+ (- (exp (neg x)) (exp x)) (+ (exp (neg x)) (exp x))) (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (* (* 1/2 (fmod (exp x) (sqrt (cos x)))) (+ (- (exp (neg x)) (exp x)) (+ (exp (neg x)) (exp x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))) (cos x) (* 1/24 (* x x)) (fmod (exp x) (sqrt (cos x))) (- (exp (neg x)) (exp x)) (sqrt (cos x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 389 |
| 1 | 339 | 348 |
| 2 | 960 | 342 |
| 3 | 3778 | 333 |
| 0 | 8062 | 313 |
| 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))) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- x 2))) |
(+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) |
(* 1/2 (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))) |
(* 1/24 (pow x 2)) |
(* -2 x) |
(* x (- (* -1/3 (pow x 2)) 2)) |
(* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2520 (pow x 2)) 1/60)) 1/3)) 2)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(* 2 (exp (neg x))) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x)))))) |
(cos x) |
(- (exp (neg x)) (exp x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* 2 (exp (* -1 x))) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x)))))) |
(- (exp (* -1 x)) (exp 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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) 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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 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)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 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)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- x 2))) |
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x (-.f64 x #s(literal 2 binary64))) x #s(literal 2 binary64)) |
(* 1/2 (fmod (exp x) (sqrt (cos x)))) |
(*.f64 #s(literal 1/2 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)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -1/3 (pow x 2)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) #s(literal 2 binary64)) x) |
(* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2520 (pow x 2)) 1/60)) 1/3)) 2)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) x) |
(* (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)) |
(* 2 (exp (neg x))) |
(/.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(cos x) |
(cos.f64 x) |
(- (exp (neg x)) (exp x)) |
(-.f64 (exp.f64 (neg.f64 x)) (exp.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)) |
(* 2 (exp (* -1 x))) |
(/.f64 #s(literal 2 binary64) (exp.f64 x)) |
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(- (exp (* -1 x)) (exp x)) |
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 340 |
| 0 | 85 | 340 |
| 1 | 257 | 320 |
| 2 | 1919 | 320 |
| 0 | 8604 | 317 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 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 (*.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) |
#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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(sqrt.f64 (cos.f64 x)) |
| Outputs |
|---|
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) |
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) |
(+.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (sinh.f64 (neg.f64 x)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (exp x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) |
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(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (exp.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)))) |
Compiled 30 931 to 2 326 computations (92.5% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 537 | 8 | 545 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 540 | 21 | 561 |
| Status | Accuracy | Program |
|---|---|---|
| 6.5% | (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) | |
| ✓ | 6.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
| 6.5% | (*.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))) | |
| ▶ | 14.9% | (*.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 18.2% | (*.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 25.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | 25.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ▶ | 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
| ✓ | 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 25.3% | (*.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))) |
| 6.3% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) | |
| 6.7% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)))) | |
| 3.2% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 (fma.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))) | |
| 6.1% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) | |
| ▶ | 24.4% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
| 5.0% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (-.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)))) (sqrt.f64 (cos.f64 x)))) | |
| ✓ | 5.1% | #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))))) |
| 5.8% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) | |
| ▶ | 5.8% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
Compiled 1 274 to 780 computations (38.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) | |
| cost-diff | 6 | (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) | |
| cost-diff | 1 | (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) | |
| 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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.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 | #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))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (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))) | |
| 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 (*.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)))) | |
| cost-diff | 1 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 799 |
| 0 | 131 | 777 |
| 1 | 241 | 747 |
| 2 | 755 | 727 |
| 3 | 3757 | 727 |
| 0 | 8345 | 714 |
| 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 (*.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)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (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))) |
(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)) |
(-.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 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) |
(-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) |
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) |
#s(literal -19/5760 binary64) |
(*.f64 x x) |
x |
#s(literal 1/96 binary64) |
#s(literal 1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(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))) |
(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) |
(*.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
#s(literal -1/96 binary64) |
(*.f64 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))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) |
(neg.f64 (fma.f64 #s(literal 1/2 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) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
(fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 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 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 x) |
x |
#s(literal -2 binary64) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) |
(sinh.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(sinh.f64 x) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 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) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (*.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)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (*.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))) |
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(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)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.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 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) |
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) |
(-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) |
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) |
#s(literal -19/5760 binary64) |
(*.f64 x x) |
x |
#s(literal 1/96 binary64) |
#s(literal 1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(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))) |
(/.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) |
(*.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1/96 binary64) (*.f64 x x)) |
#s(literal -1/96 binary64) |
(*.f64 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))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(fma.f64 #s(literal -1/2 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) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) |
(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))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 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 (fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (sinh.f64 (neg.f64 x))) #s(literal 1/4 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (sinh.f64 (neg.f64 x))) #s(literal 1/4 binary64) (*.f64 (sinh.f64 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 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (sinh.f64 (neg.f64 x))) #s(literal 1/4 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (sinh.f64 (neg.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 x) #s(literal -2 binary64)) |
(exp.f64 x) |
x |
#s(literal -2 binary64) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 8 binary64) (sinh.f64 x)) (sinh.f64 (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (sinh.f64 (neg.f64 x))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) |
(*.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(sinh.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(sinh.f64 x) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 8 binary64) (sinh.f64 (neg.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 #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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7768690358887547 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 1.6113649012282867 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) | |
| accuracy | 44.52839901802158 | (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) | |
| accuracy | 44.67658460552592 | (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.0234375 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| accuracy | 0.0390625 | (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) | |
| accuracy | 0.9168518458799205 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| accuracy | 44.67658460552592 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.2617215010508252 | (*.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.6686791400633678 | #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.7917393589647511 | #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 | 44.67658460552592 | (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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.2617215010508252 | (*.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 | 0.7768690358887547 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 1.6034292035762037 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 44.67658460552592 | (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)))) | |
| accuracy | 0.2617215010508252 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.6403019267098327 | #s(approx (sqrt (cos x)) (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))) | |
| accuracy | 1.6034292035762037 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 44.67658460552592 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) |
| 394.0ms | 194× | 1 | valid |
| 379.0ms | 59× | 5 | exit |
| 2.0ms | 3× | 0 | valid |
Compiled 572 to 64 computations (88.8% saved)
ival-cos: 160.0ms (23.8% of total)adjust: 90.0ms (13.4% of total)const: 70.0ms (10.4% of total)ival-pow2: 63.0ms (9.4% of total)ival-sinh: 62.0ms (9.2% of total)ival-mult: 60.0ms (8.9% of total)ival-pow: 50.0ms (7.4% of total)ival-exp: 39.0ms (5.8% of total)ival-fmod: 33.0ms (4.9% of total)ival-add: 15.0ms (2.2% of total)ival-sub: 11.0ms (1.6% of total)ival-div: 10.0ms (1.5% of total)ival-neg: 5.0ms (0.7% of total)ival-sqrt: 5.0ms (0.7% of total)exact: 1.0ms (0.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 (*.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)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) (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))) |
(*.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 (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 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))) |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- x 1))) |
(+ 1 (* (pow x 2) (- (* x (+ 1 (* -1/4 x))) 1))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (+ 1 (* -1/2 x)))) |
(* -8 (pow x 2)) |
(* (pow x 2) (- (* -8/3 (pow x 2)) 8)) |
(* (pow x 2) (- (* (pow x 2) (- (* -16/45 (pow x 2)) 8/3)) 8)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -8/315 (pow x 2)) 16/45)) 8/3)) 8)) |
(* -4 x) |
(* x (- (* -2/3 (pow x 2)) 4)) |
(* x (- (* (pow x 2) (- (* -1/30 (pow x 2)) 2/3)) 4)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1260 (pow x 2)) 1/30)) 2/3)) 4)) |
(* -8 x) |
(* x (- (* -4/3 (pow x 2)) 8)) |
(* x (- (* (pow x 2) (- (* -1/15 (pow x 2)) 4/3)) 8)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/630 (pow x 2)) 1/15)) 4/3)) 8)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 x))) |
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1)))) |
(+ (* x (- (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (sqrt (cos x))) |
(* x (- (* -8/3 (pow x 2)) 4)) |
(* x (- (* (pow x 2) (- (* -8/15 (pow x 2)) 8/3)) 4)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -16/315 (pow x 2)) 8/15)) 8/3)) 4)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(* 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)))))) |
(* -1/4 (pow x 4)) |
(* (pow x 4) (- (/ 1 x) 1/4)) |
(* (pow x 4) (- (/ 1 x) (+ 1/4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ (/ 1 x) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 2))))) |
(* -1/2 x) |
(* x (- (/ 1 x) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1/2)) |
(* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) |
(* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) |
(* 2 (- (exp (neg x)) (/ 1 (exp (neg x))))) |
(* 4 (- (exp (neg x)) (/ 1 (exp (neg x))))) |
(* 1/4 (pow x 4)) |
(* (pow x 4) (- 1/4 (/ 1 x))) |
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x))) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)))) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) (+ (* -2 (/ (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x))))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))))) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (+ (* -2 (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (* -2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -2 (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (pow x 3))) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))) (+ (* -2 (/ (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x))))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))))) |
(- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)) |
(* (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))) |
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) 1) x)) 1/4)) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) |
(* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) |
(* 2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(* 4 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))) x)) (+ (* 2 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(fmod (* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (sqrt (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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))) (sqrt (cos x)) (* (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) (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (neg (+ (* 1/2 x) -1)) (+ 1 (* (neg (+ (* 1/2 x) -1)) x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ (+ (* (- (pow (exp x) -2) (pow (exp x) 2)) 2) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x)))) (* (* (* 2 (sinh (neg x))) 2) 2)) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (* (* 2 (sinh (neg x))) 2) (* (* (* 2 (sinh (neg x))) 2) 2) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x)) (* (/ (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (+ 1 (* (neg (+ (* 1/2 x) -1)) x))) (fmod (exp x) (sqrt (cos x)))) (fmod (/ (+ (* (- (pow (exp x) -2) (pow (exp x) 2)) 2) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x)))) (* (* (* 2 (sinh (neg x))) 2) 2)) (sqrt (cos x))) (- (pow (exp x) -2) (pow (exp x) 2)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 7.0ms | 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))) (sqrt (cos x)) (* (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) (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (neg (+ (* 1/2 x) -1)) (+ 1 (* (neg (+ (* 1/2 x) -1)) x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ (+ (* (- (pow (exp x) -2) (pow (exp x) 2)) 2) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x)))) (* (* (* 2 (sinh (neg x))) 2) 2)) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (* (* 2 (sinh (neg x))) 2) (* (* (* 2 (sinh (neg x))) 2) 2) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x)) (* (/ (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (+ 1 (* (neg (+ (* 1/2 x) -1)) x))) (fmod (exp x) (sqrt (cos x)))) (fmod (/ (+ (* (- (pow (exp x) -2) (pow (exp x) 2)) 2) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x)))) (* (* (* 2 (sinh (neg x))) 2) 2)) (sqrt (cos x))) (- (pow (exp x) -2) (pow (exp x) 2)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 6.0ms | 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))) (sqrt (cos x)) (* (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) (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (neg (+ (* 1/2 x) -1)) (+ 1 (* (neg (+ (* 1/2 x) -1)) x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ (+ (* (- (pow (exp x) -2) (pow (exp x) 2)) 2) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x)))) (* (* (* 2 (sinh (neg x))) 2) 2)) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (* (* 2 (sinh (neg x))) 2) (* (* (* 2 (sinh (neg x))) 2) 2) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x)) (* (/ (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (+ 1 (* (neg (+ (* 1/2 x) -1)) x))) (fmod (exp x) (sqrt (cos x)))) (fmod (/ (+ (* (- (pow (exp x) -2) (pow (exp x) 2)) 2) (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x)))) (* (* (* 2 (sinh (neg x))) 2) 2)) (sqrt (cos x))) (- (pow (exp x) -2) (pow (exp x) 2)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 332 | 1400 |
| 1 | 885 | 1228 |
| 2 | 2867 | 1045 |
| 0 | 9074 | 1020 |
| 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 (pow x 2))) |
(+ 1 (* (pow x 2) (- x 1))) |
(+ 1 (* (pow x 2) (- (* x (+ 1 (* -1/4 x))) 1))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (+ 1 (* -1/2 x)))) |
(* -8 (pow x 2)) |
(* (pow x 2) (- (* -8/3 (pow x 2)) 8)) |
(* (pow x 2) (- (* (pow x 2) (- (* -16/45 (pow x 2)) 8/3)) 8)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -8/315 (pow x 2)) 16/45)) 8/3)) 8)) |
(* -4 x) |
(* x (- (* -2/3 (pow x 2)) 4)) |
(* x (- (* (pow x 2) (- (* -1/30 (pow x 2)) 2/3)) 4)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1260 (pow x 2)) 1/30)) 2/3)) 4)) |
(* -8 x) |
(* x (- (* -4/3 (pow x 2)) 8)) |
(* x (- (* (pow x 2) (- (* -1/15 (pow x 2)) 4/3)) 8)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/630 (pow x 2)) 1/15)) 4/3)) 8)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 x))) |
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1)))) |
(+ (* x (- (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (sqrt (cos x))) |
(* x (- (* -8/3 (pow x 2)) 4)) |
(* x (- (* (pow x 2) (- (* -8/15 (pow x 2)) 8/3)) 4)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -16/315 (pow x 2)) 8/15)) 8/3)) 4)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp x) |
(sqrt (cos x)) |
(* 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)))))) |
(* -1/4 (pow x 4)) |
(* (pow x 4) (- (/ 1 x) 1/4)) |
(* (pow x 4) (- (/ 1 x) (+ 1/4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ (/ 1 x) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 2))))) |
(* -1/2 x) |
(* x (- (/ 1 x) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1/2)) |
(* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) |
(* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) |
(* 2 (- (exp (neg x)) (/ 1 (exp (neg x))))) |
(* 4 (- (exp (neg x)) (/ 1 (exp (neg x))))) |
(* 1/4 (pow x 4)) |
(* (pow x 4) (- 1/4 (/ 1 x))) |
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x))) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)))) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) (+ (* -2 (/ (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x))))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))))) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (+ (* -2 (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (* -2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -2 (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (pow x 3))) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))) (+ (* -2 (/ (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x))))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))))) |
(- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)) |
(* (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))) |
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) 1) x)) 1/4)) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) |
(* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) |
(* 2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(* 4 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(* (pow x 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))) x)) (+ (* 2 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(fmod (* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (* -1 x)) (/ 1 (exp (* -1 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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.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 (*.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))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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 #s(literal -1/4 binary64) 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 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* x (+ 1 (* -1/4 x))) 1))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) 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)) |
(* -8 (pow x 2)) |
(*.f64 #s(literal -8 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* -8/3 (pow x 2)) 8)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (- (* -16/45 (pow x 2)) 8/3)) 8)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16/45 binary64) (*.f64 x x)) #s(literal 8/3 binary64)) x) x) #s(literal 8 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -8/315 (pow x 2)) 16/45)) 8/3)) 8)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/315 binary64) (*.f64 x x)) #s(literal 16/45 binary64)) x) x) #s(literal 8/3 binary64)) (*.f64 x x)) #s(literal 8 binary64)) (*.f64 x x)) |
(* -4 x) |
(*.f64 #s(literal -4 binary64) x) |
(* x (- (* -2/3 (pow x 2)) 4)) |
(*.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 4 binary64)) x) |
(* x (- (* (pow x 2) (- (* -1/30 (pow x 2)) 2/3)) 4)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/30 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) x) x) #s(literal 4 binary64)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1260 (pow x 2)) 1/30)) 2/3)) 4)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/1260 binary64) (*.f64 x x)) #s(literal 1/30 binary64)) x) x) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 4 binary64)) x) |
(* -8 x) |
(*.f64 #s(literal -8 binary64) x) |
(* x (- (* -4/3 (pow x 2)) 8)) |
(*.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) |
(* x (- (* (pow x 2) (- (* -1/15 (pow x 2)) 4/3)) 8)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/15 binary64) (*.f64 x x)) #s(literal 4/3 binary64)) x) x) #s(literal 8 binary64)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/630 (pow x 2)) 1/15)) 4/3)) 8)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/630 binary64) (*.f64 x x)) #s(literal 1/15 binary64)) x) x) #s(literal 4/3 binary64)) (*.f64 x x)) #s(literal 8 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x) |
(+ (* x (- (* 1/2 (* x (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 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(fmod (* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (sqrt (cos x))) |
(fmod.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 x))) |
(* x (- (* -8/3 (pow x 2)) 4)) |
(*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 4 binary64)) x) |
(* x (- (* (pow x 2) (- (* -8/15 (pow x 2)) 8/3)) 4)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/15 binary64) (*.f64 x x)) #s(literal 8/3 binary64)) x) x) #s(literal 4 binary64)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -16/315 (pow x 2)) 8/15)) 8/3)) 4)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16/315 binary64) (*.f64 x x)) #s(literal 8/15 binary64)) x) x) #s(literal 8/3 binary64)) (*.f64 x x)) #s(literal 4 binary64)) x) |
(* (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)) |
(* 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(* -1/4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(* (pow x 4) (- (/ 1 x) 1/4)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (/ 1 x) (+ 1/4 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (/ 1 x) (/ 1 (pow x 4))) (+ 1/4 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (/ 1 x) 1/2)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1/2)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x)) |
(* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 1/4 binary64)) |
(* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 2 (- (exp (neg x)) (/ 1 (exp (neg x))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 4 (- (exp (neg x)) (/ 1 (exp (neg x))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(* 1/4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 4) (- 1/4 (/ 1 x))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))) (+ (* -2 (/ (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x))))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))))) |
(*.f64 (-.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* -2 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (+ (* -2 (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (* -2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -2 (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (pow x 3))) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))) (+ (* -2 (/ (- (* -2 (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x))))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))))) |
(*.f64 (-.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) (*.f64 x x)) |
(- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)) |
(-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (pow.f64 (exp.f64 x) #s(literal 2 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))) |
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1) x)) 1/4)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1) x)) 1) x)) 1/4)) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 1/4 binary64)) |
(* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 4 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x)))) x)) (+ (* 2 (/ (- (* 2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (- (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))))) x)) (* 2 (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fma.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))) x)) (*.f64 x x)) |
(fmod (* 1/4 (/ (+ (* 2 (* (- (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (* 2 (- (/ 1 (pow (exp x) 2)) (pow (exp x) 2)))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (sqrt (cos x))) |
(fmod.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 531 |
| 0 | 131 | 488 |
| 1 | 425 | 444 |
| 2 | 3036 | 444 |
| 0 | 8349 | 442 |
| 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 (*.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)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) (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))) |
(*.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 (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) |
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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 (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 (*.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 (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x 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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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 #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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) (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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (sinh.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(fma.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (cosh.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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) (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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(+.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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (cosh.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (sinh.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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #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))) |
(/.f64 (fma.f64 (pow.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 3 binary64)) (-.f64 (+.f64 (pow.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 2 binary64)) #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)) (*.f64 (-.f64 (+.f64 (pow.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 2 binary64)) #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(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.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 2 binary64)) #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)) (-.f64 (+.f64 (pow.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 2 binary64)) #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)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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 2 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))) |
(/.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.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 (neg.f64 (+.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.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 2 binary64)) #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)))) |
(/.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64)) (-.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 (+.f64 (pow.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 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) |
(/.f64 (+.f64 (pow.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 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.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 2 binary64)) #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))) |
(fma.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) #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 #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(literal 1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.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 2 binary64)) (-.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))) (pow.f64 (-.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)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.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 3 binary64)) (-.f64 (+.f64 (pow.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 2 binary64)) #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))) (pow.f64 (-.f64 (+.f64 (pow.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 2 binary64)) #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(literal -1 binary64))) |
(+.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)) |
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(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fmod.f64 (/.f64 (fma.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 8 binary64)) (sinh.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 8 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(fma.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(fma.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -4 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal -4 binary64))))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 8 binary64)) (sinh.f64 x) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 8 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
Compiled 30 528 to 2 926 computations (90.4% saved)
28 alts after pruning (19 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 11 | 526 |
| Fresh | 1 | 8 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 519 | 28 | 547 |
| Status | Accuracy | Program |
|---|---|---|
| 6.5% | (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) | |
| ✓ | 6.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
| 6.5% | (*.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))) | |
| 14.9% | (*.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))) | |
| 18.2% | (*.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))) | |
| 27.3% | (*.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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 12.5% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 24.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 13.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 25.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| ✓ | 25.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
| ✓ | 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 25.3% | (*.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))) |
| 6.3% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) | |
| 6.7% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)))) | |
| 3.2% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 (fma.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))) | |
| 6.1% | #s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) | |
| 40.1% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) | |
| 24.4% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) x))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) | |
| 24.3% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) | |
| 5.0% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (-.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)))) (sqrt.f64 (cos.f64 x)))) | |
| ✓ | 5.1% | #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))))) |
| 5.8% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) | |
| 5.8% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
Compiled 2 477 to 963 computations (61.1% 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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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) (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) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)))) (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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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) (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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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)) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 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 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) x))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 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))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (-.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)))) (sqrt.f64 (cos.f64 x)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 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))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (sinh.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))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 (fma.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (/.f64 (*.f64 (*.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (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))) (exp.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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (sinh.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) (+.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:
| 17.0ms | x |
| 8.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 66.0% | 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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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) (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) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)))) (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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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) (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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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)) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 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 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) x))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 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))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (-.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)))) (sqrt.f64 (cos.f64 x)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 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))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) x))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #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) (+.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:
| 9.0ms | x |
| 7.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.7% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 50.3% | 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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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) (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) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)))) (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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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) (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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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)) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))) |
| 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #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) (+.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:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 3 | x |
Compiled 1 to 1 computations (0% 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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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) (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) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)))) (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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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) (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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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)) |
#s(approx (+ (* (fmod (exp x) (sqrt (cos x))) (cosh x)) (* (sinh (neg x)) (fmod (exp x) (sqrt (cos x))))) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)))) |
| 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
2 calls:
| 24.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.7% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 43.1% | 4 | 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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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) (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) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)))) (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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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) (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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #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) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- 1 (* (* (neg (+ (* 1/2 x) -1)) x) (* (neg (+ (* 1/2 x) -1)) x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
| Outputs |
|---|
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 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 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.4% | 3 | x |
Compiled 1 to 1 computations (0% 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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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) (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) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #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 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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 (*.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)))) (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 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #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) (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))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.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:
| 6.0ms | x |
| 4.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.3% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 27.3% | 1 | 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 |
|---|---|---|
| 27.0% | 2 | x |
| 27.0% | 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 |
|---|---|---|
| 5.1% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 5.1% | 1 | x |
Compiled 11 to 9 computations (18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 1.477249613373182e-19 | 1.0020430052678406e-14 |
| 58.0ms | -6.505271524518567e-100 | -8.608129378258725e-108 |
| 78.0ms | 288× | 1 | valid |
Compiled 1 633 to 1 092 computations (33.1% saved)
ival-mult: 27.0ms (39.2% of total)ival-fmod: 15.0ms (21.8% of total)ival-exp: 11.0ms (16% of total)adjust: 6.0ms (8.7% of total)ival-cos: 4.0ms (5.8% of total)ival-sqrt: 4.0ms (5.8% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.477249613373182e-19 | 1.0020430052678406e-14 |
| 3.0ms | -6.505271524518567e-100 | -8.608129378258725e-108 |
Compiled 1 921 to 1 290 computations (32.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.477249613373182e-19 | 1.0020430052678406e-14 |
| 3.0ms | -6.505271524518567e-100 | -8.608129378258725e-108 |
Compiled 1 813 to 1 218 computations (32.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.0001303257356675604 | 0.6397990504624854 |
| 4.0ms | 1.3064312310626495e-154 | 3.389287149371781e-148 |
| 3.0ms | -6.505271524518567e-100 | -8.608129378258725e-108 |
| 18.0ms | 128× | 0 | valid |
| 3.0ms | 16× | 1 | valid |
Compiled 1 551 to 1 143 computations (26.3% saved)
ival-fmod: 5.0ms (39% of total)ival-exp: 3.0ms (23.4% of total)ival-mult: 1.0ms (7.8% of total)ival-cos: 1.0ms (7.8% of total)ival-sqrt: 1.0ms (7.8% of total)ival-neg: 1.0ms (7.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.0001303257356675604 | 0.6397990504624854 |
| 4.0ms | 5.461893636503272e-139 | 1.9302693101963225e-138 |
| 3.0ms | 16× | 1 | valid |
Compiled 592 to 449 computations (24.2% saved)
ival-exp: 1.0ms (35.7% of total)ival-fmod: 1.0ms (35.7% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-cos: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0001303257356675604 | 0.6397990504624854 |
Compiled 357 to 268 computations (24.9% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 793 |
| 1 | 215 | 791 |
| 2 | 363 | 786 |
| 3 | 968 | 782 |
| 4 | 5447 | 778 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (sinh.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) (+.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 -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) x))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #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) (+.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 -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #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) (+.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 -3732158026922485/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) |
(if (<=.f64 x #s(literal 6703903964971299/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.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 #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 5584463537939415/9007199254740992 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 -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (sinh.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) (+.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 -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 1 binary64) (sinh.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) (+.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 -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) x))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #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) (+.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 -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 x x)) #s(literal 8 binary64)) x) x))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #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) (+.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 -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #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) (+.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 -3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64) #s(approx (* (* (* 2 (sinh (neg x))) 2) (* 2 (sinh x))) (*.f64 #s(literal -8 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #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) (+.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 -3732158026922485/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) |
(if (<=.f64 x #s(literal -3732158026922485/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) |
(if (<=.f64 x #s(literal 6703903964971299/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) |
(if (<=.f64 x #s(literal 6703903964971299/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x)) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.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 #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 5584463537939415/9007199254740992 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 | 73 | 531 |
| 0 | 131 | 488 |
| 1 | 425 | 444 |
| 2 | 3036 | 444 |
| 0 | 8349 | 442 |
| 0 | 332 | 1400 |
| 1 | 885 | 1228 |
| 2 | 2867 | 1045 |
| 0 | 9074 | 1020 |
| 0 | 52 | 340 |
| 0 | 85 | 340 |
| 1 | 257 | 320 |
| 2 | 1919 | 320 |
| 0 | 8604 | 317 |
| 0 | 126 | 389 |
| 1 | 339 | 348 |
| 2 | 960 | 342 |
| 3 | 3778 | 333 |
| 0 | 8062 | 313 |
| 0 | 76 | 218 |
| 1 | 225 | 197 |
| 2 | 665 | 191 |
| 3 | 2324 | 181 |
| 4 | 5205 | 181 |
| 0 | 8264 | 165 |
| 0 | 155 | 638 |
| 1 | 493 | 570 |
| 2 | 1655 | 535 |
| 3 | 5060 | 517 |
| 0 | 8518 | 493 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 787 to 151 computations (80.8% saved)
Compiled 1 594 to 318 computations (80.1% saved)
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