
Time bar (total: 11.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 12 to 10 computations (16.7% saved)
| 1.3s | 1 536× | 5 | exit |
| 1.1s | 2 518× | 2 | valid |
| 877.0ms | 3 594× | 1 | valid |
| 347.0ms | 3 159× | 0 | invalid |
| 231.0ms | 2 144× | 0 | valid |
ival-cos: 1.3s (37.4% of total)ival-fmod: 735.0ms (21.6% of total)ival-exp: 623.0ms (18.3% of total)adjust: 299.0ms (8.8% of total)ival-sqrt: 235.0ms (6.9% of total)ival-mult: 172.0ms (5.1% of total)ival-neg: 52.0ms (1.5% of total)ival-true: 10.0ms (0.3% of total)ival-assert: 5.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 192 | 0 | - | 192 | (-5.519447271950896e-17) | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 1 | 0 | - | 0 | - | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (cos.f64 x)) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | u*o | 1 | 0 |
| ↳ | (exp.f64 x) | underflow | 1 | |
| ↳ | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | underflow | 1 | |
| ↳ | (exp.f64 (neg.f64 x)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 246 |
| - | 0 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 246 |
| - | 0 | 0 | 9 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 156× | 2 | valid |
| 46.0ms | 208× | 1 | valid |
| 14.0ms | 106× | 1 | exit |
| 4.0ms | 42× | 0 | valid |
Compiled 73 to 28 computations (61.6% saved)
ival-exp: 32.0ms (27.7% of total)ival-fmod: 26.0ms (22.5% of total)ival-cos: 25.0ms (21.6% of total)ival-sqrt: 13.0ms (11.2% of total)adjust: 10.0ms (8.6% of total)ival-mult: 8.0ms (6.9% of total)ival-neg: 2.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | sub-neg |
| 28× | div-sub |
| 24× | lower-*.f32 |
| 22× | lower-*.f64 |
| 22× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 29 | 21 |
| 2 | 68 | 21 |
| 3 | 122 | 21 |
| 4 | 168 | 21 |
| 5 | 188 | 21 |
| 6 | 205 | 21 |
| 7 | 224 | 21 |
| 8 | 231 | 21 |
| 0 | 8 | 10 |
| 0 | 15 | 10 |
| 1 | 22 | 10 |
| 2 | 32 | 9 |
| 3 | 38 | 9 |
| 4 | 43 | 9 |
| 5 | 49 | 9 |
| 6 | 56 | 9 |
| 7 | 62 | 9 |
| 8 | 63 | 9 |
| 0 | 63 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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))) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% 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 | 0 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 24× | lower-*.f32 |
| 22× | lower-*.f64 |
| 12× | lower-/.f32 |
| 12× | lower-/.f64 |
| 8× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 15 | 29 |
| 1 | 22 | 29 |
| 2 | 32 | 28 |
| 3 | 38 | 28 |
| 4 | 43 | 28 |
| 5 | 49 | 28 |
| 6 | 56 | 28 |
| 7 | 62 | 28 |
| 8 | 63 | 28 |
| 0 | 63 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 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))) |
(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 | (cos.f64 x) | |
| accuracy | 0.00390625 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 33.0ms | 78× | 2 | valid |
| 29.0ms | 104× | 1 | valid |
| 7.0ms | 53× | 1 | exit |
| 2.0ms | 21× | 0 | valid |
Compiled 31 to 10 computations (67.7% saved)
ival-exp: 16.0ms (29.4% of total)ival-fmod: 13.0ms (23.9% of total)ival-cos: 11.0ms (20.2% of total)adjust: 5.0ms (9.2% of total)ival-sqrt: 4.0ms (7.3% of total)ival-mult: 3.0ms (5.5% of total)ival-neg: 3.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))> |
#<alt (exp.f64 x)> |
#<alt (sqrt.f64 (cos.f64 x))> |
#<alt (cos.f64 x)> |
| Outputs |
|---|
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | -inf | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | 0 | (sqrt (cos x)) |
| 0.0ms | x | @ | 0 | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 0.0ms | x | @ | inf | (sqrt (cos x)) |
| 1× | egg-herbie |
| 13 324× | lower-fma.f64 |
| 13 324× | lower-fma.f32 |
| 3 658× | lower-*.f64 |
| 3 658× | lower-*.f32 |
| 2 382× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 401 |
| 1 | 181 | 380 |
| 2 | 412 | 368 |
| 3 | 1045 | 358 |
| 4 | 1890 | 358 |
| 5 | 3512 | 358 |
| 6 | 4863 | 358 |
| 7 | 6196 | 358 |
| 8 | 7695 | 358 |
| 0 | 8062 | 336 |
| 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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos 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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(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 (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 x (fma.f64 x #s(literal 1/2 binary64) #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 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #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 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
| 612× | lower-*.f32 |
| 610× | lower-*.f64 |
| 600× | lower-/.f64 |
| 600× | lower-/.f32 |
| 252× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 15 | 23 |
| 1 | 24 | 22 |
| 2 | 63 | 22 |
| 3 | 257 | 22 |
| 0 | 1992 | 22 |
| 1× | iter limit |
| 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 |
|---|
(neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))) |
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x)) |
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x)) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #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 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(exp.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (fma.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)))) |
(sqrt.f64 (cos.f64 x)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(cos.f64 x) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64)))) |
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x))) |
Compiled 1 599 to 260 computations (83.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 12 | 124 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 113 | 12 | 125 |
| Status | Accuracy | Program |
|---|---|---|
| 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| 7.7% | (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x))) | |
| ▶ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ▶ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| 7.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ▶ | 7.4% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 7.2% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| ▶ | 24.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 6.3% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
Compiled 384 to 254 computations (33.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #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 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #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 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 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 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.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 | 0 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 938× | lower-fma.f32 |
| 926× | lower-fma.f64 |
| 380× | distribute-lft-in |
| 332× | lower-+.f64 |
| 332× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 372 |
| 0 | 75 | 372 |
| 1 | 126 | 372 |
| 2 | 260 | 367 |
| 3 | 437 | 367 |
| 4 | 531 | 367 |
| 5 | 549 | 367 |
| 6 | 669 | 367 |
| 7 | 852 | 367 |
| 8 | 864 | 367 |
| 0 | 864 | 367 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(exp.f64 x) |
x |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(exp.f64 x) |
x |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(exp.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))) |
(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) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(exp.f64 x) |
x |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(exp.f64 x) |
x |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21875 | (*.f64 x #s(literal -1/720 binary64)) | |
| accuracy | 0.25024347188529206 | #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.26171875 | (*.f64 x #s(literal 1/24 binary64)) | |
| accuracy | 0.337012338499809 | #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.5044389470562038 | #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.7376936166311323 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| accuracy | 1.4226337951683392 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 45.54870449074566 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| 106.0ms | 78× | 2 | valid |
| 59.0ms | 104× | 1 | valid |
| 18.0ms | 53× | 1 | exit |
| 6.0ms | 21× | 0 | valid |
Compiled 235 to 31 computations (86.8% saved)
adjust: 24.0ms (19.5% of total)ival-mult: 23.0ms (18.7% of total)ival-exp: 19.0ms (15.4% of total)ival-cos: 15.0ms (12.2% of total)ival-fmod: 14.0ms (11.4% of total)const: 13.0ms (10.5% of total)ival-add: 10.0ms (8.1% of total)ival-sqrt: 4.0ms (3.2% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))> |
#<alt #s(approx (exp x) #s(literal 1 binary64))> |
#<alt (sqrt.f64 (cos.f64 x))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))> |
#<alt (exp.f64 x)> |
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))> |
#<alt (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))> |
#<alt (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (*.f64 x #s(literal 1/24 binary64))> |
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (*.f64 x #s(literal -1/720 binary64))> |
| Outputs |
|---|
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x -1/720) |
| 0.0ms | x | @ | -inf | (* x -1/720) |
| 0.0ms | x | @ | -inf | (* x 1/24) |
| 0.0ms | x | @ | inf | (* x 1/24) |
| 0.0ms | x | @ | 0 | (* x 1/24) |
| 1× | egg-herbie |
| 13 324× | lower-fma.f64 |
| 13 324× | lower-fma.f32 |
| 3 658× | lower-*.f64 |
| 3 658× | lower-*.f32 |
| 2 382× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 1783 |
| 1 | 185 | 1678 |
| 2 | 413 | 1618 |
| 3 | 1020 | 1568 |
| 4 | 1863 | 1568 |
| 5 | 3514 | 1568 |
| 6 | 4858 | 1568 |
| 7 | 6189 | 1568 |
| 8 | 7694 | 1568 |
| 0 | 8061 | 1491 |
| 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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos 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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 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 x (fma.f64 x #s(literal 1/2 binary64) #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 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #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 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
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(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
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(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
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(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
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(exp x) |
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(exp.f64 x) |
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#s(literal 1 binary64) |
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(exp x) |
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(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
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(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
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(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
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(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
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(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
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(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
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(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
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1 |
#s(literal 1 binary64) |
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(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
| 7 572× | lower-fma.f32 |
| 7 560× | lower-fma.f64 |
| 5 052× | lower-*.f32 |
| 5 034× | lower-*.f64 |
| 3 996× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 258 |
| 0 | 75 | 258 |
| 1 | 203 | 253 |
| 2 | 1282 | 253 |
| 0 | 8212 | 253 |
| 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)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 x #s(literal -1/720 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (exp.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 x)) |
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (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))) #s(literal 1 binary64)) |
#s(approx (exp x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
(sqrt.f64 (cos.f64 x)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(exp.f64 x) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))) |
#s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 x #s(literal -1/720 binary64)) |
(*.f64 #s(literal -1/720 binary64) x) |
Compiled 5 759 to 310 computations (94.6% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 12 | 378 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 369 | 21 | 390 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) |
| 7.2% | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) | |
| 7.7% | (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x))) | |
| ✓ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| 7.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 7.4% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 7.2% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 7.3% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 13.0% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| ▶ | 16.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 16.0% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| ▶ | 27.5% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 24.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ▶ | 24.1% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| ▶ | 6.3% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
Compiled 732 to 445 computations (39.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #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 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 256 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.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 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (sqrt (cos 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)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 5 880× | lower-fma.f32 |
| 5 868× | lower-fma.f64 |
| 1 852× | lower-*.f32 |
| 1 838× | lower-*.f64 |
| 754× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 357 |
| 0 | 83 | 357 |
| 1 | 132 | 357 |
| 2 | 235 | 353 |
| 3 | 513 | 353 |
| 4 | 992 | 353 |
| 5 | 1172 | 353 |
| 6 | 1340 | 353 |
| 7 | 1617 | 353 |
| 8 | 1735 | 353 |
| 9 | 2246 | 353 |
| 10 | 3114 | 353 |
| 11 | 3803 | 353 |
| 12 | 4169 | 353 |
| 13 | 4252 | 353 |
| 14 | 4281 | 353 |
| 15 | 4298 | 353 |
| 16 | 4420 | 353 |
| 17 | 4464 | 353 |
| 18 | 4464 | 353 |
| 19 | 4464 | 353 |
| 20 | 4464 | 353 |
| 21 | 4464 | 353 |
| 22 | 4476 | 353 |
| 0 | 4476 | 353 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 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)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(exp.f64 x) |
x |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 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)) #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)) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(exp.f64 x) |
x |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25024347188529206 | #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.2539090010508252 | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) | |
| accuracy | 0.265625 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.00390625 | (sqrt.f64 (cos.f64 x)) | |
| accuracy | 1.4373419941436703 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.5044389470562038 | #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.6650664284851597 | #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 45.54870449074566 | (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.7376936166311323 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 1.4226337951683392 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 45.54870449074566 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.7376936166311323 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 0.8088785440868458 | #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 45.54870449074566 | (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
| 110.0ms | 104× | 1 | valid |
| 97.0ms | 78× | 2 | valid |
| 18.0ms | 53× | 1 | exit |
| 6.0ms | 21× | 0 | valid |
Compiled 220 to 34 computations (84.5% saved)
ival-exp: 34.0ms (21.1% of total)ival-add: 30.0ms (18.6% of total)ival-cos: 27.0ms (16.8% of total)ival-mult: 20.0ms (12.4% of total)adjust: 18.0ms (11.2% of total)ival-fmod: 13.0ms (8.1% of total)const: 9.0ms (5.6% of total)ival-sqrt: 4.0ms (2.5% of total)ival-div: 3.0ms (1.9% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))> |
#<alt #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))> |
#<alt (+.f64 x #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))> |
#<alt #s(approx (exp x) #s(literal 1 binary64))> |
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))> |
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))> |
#<alt (exp.f64 x)> |
#<alt (sqrt.f64 (cos.f64 x))> |
#<alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))> |
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))> |
#<alt (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))> |
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))> |
| Outputs |
|---|
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* x (+ (* x (* x -1/720)) 1/24)) |
| 0.0ms | x | @ | 0 | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | -inf | (/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
| 0.0ms | x | @ | 0 | (* x (+ (* x (* x -1/720)) 1/24)) |
| 1× | egg-herbie |
| 24 200× | lower-fma.f64 |
| 24 200× | lower-fma.f32 |
| 4 286× | lower-*.f64 |
| 4 286× | lower-*.f32 |
| 2 846× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 1941 |
| 1 | 323 | 1832 |
| 2 | 859 | 1772 |
| 3 | 3825 | 1747 |
| 0 | 8653 | 1658 |
| 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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos 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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/24 x) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
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))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(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 (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))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 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 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (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 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (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))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 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 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (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 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(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))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 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 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (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 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (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))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 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 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (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 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(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 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/ (fmod (exp x) (sqrt (cos x))) (exp x)) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
| 6 910× | lower-fma.f32 |
| 6 898× | lower-fma.f64 |
| 4 902× | lower-*.f32 |
| 4 888× | lower-*.f64 |
| 4 184× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 269 |
| 0 | 83 | 269 |
| 1 | 221 | 265 |
| 2 | 1334 | 265 |
| 0 | 8491 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos 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)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(cos.f64 x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
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(pow.f64 (exp.f64 (log.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(cos.f64 x) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x)))) |
(fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 x #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))) |
(fma.f64 #s(literal 1/24 binary64) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/720 binary64))) x (*.f64 x #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x)) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))) |
#s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
Compiled 11 413 to 1 061 computations (90.7% saved)
26 alts after pruning (19 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 9 | 547 |
| Fresh | 2 | 10 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 542 | 26 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) |
| 7.4% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 27.5% | (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) | |
| 7.7% | (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x))) | |
| ✓ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ▶ | 7.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 7.2% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 7.3% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| ▶ | 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 13.0% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| ✓ | 16.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 16.0% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| ✓ | 27.5% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| ▶ | 49.6% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 13.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 24.1% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 7.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) #s(literal -1 binary64))) | |
| ▶ | 6.3% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
| 6.6% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) | |
| 7.0% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) | |
| 4.2% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
Compiled 893 to 539 computations (39.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #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) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #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)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 3 536× | lower-fma.f32 |
| 3 518× | lower-fma.f64 |
| 1 204× | lower-*.f32 |
| 1 190× | lower-*.f64 |
| 616× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 435 |
| 0 | 82 | 435 |
| 1 | 138 | 435 |
| 2 | 229 | 430 |
| 3 | 395 | 430 |
| 4 | 469 | 430 |
| 5 | 515 | 430 |
| 6 | 643 | 430 |
| 7 | 965 | 430 |
| 8 | 1219 | 430 |
| 9 | 1625 | 430 |
| 10 | 2137 | 430 |
| 11 | 2420 | 430 |
| 12 | 2917 | 430 |
| 13 | 3195 | 430 |
| 14 | 3291 | 430 |
| 15 | 3326 | 430 |
| 16 | 3330 | 430 |
| 17 | 3330 | 430 |
| 18 | 3432 | 430 |
| 19 | 3472 | 430 |
| 20 | 3472 | 430 |
| 21 | 3479 | 430 |
| 0 | 3479 | 430 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1 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)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) |
#s(literal -1/96 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) |
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) |
x |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1 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)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) |
#s(literal -1/96 binary64) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.36651244206857503 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.504438947056204 | #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.5186829107253632 | #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 45.54870449074566 | (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.2578152510508252 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.6650664284851597 | #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.7376936166311323 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 45.54870449074566 | (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.7376936166311323 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 1.4373419941436703 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) | |
| accuracy | 45.54870449074566 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| accuracy | 0.504438947056204 | #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.6650664284851597 | #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) | |
| accuracy | 45.54870449074566 | (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 48.60458882825241 | #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) |
| 74.0ms | 78× | 2 | valid |
| 66.0ms | 104× | 1 | valid |
| 21.0ms | 53× | 1 | exit |
| 6.0ms | 21× | 0 | valid |
Compiled 248 to 35 computations (85.9% saved)
adjust: 38.0ms (30.4% of total)ival-mult: 19.0ms (15.2% of total)ival-exp: 17.0ms (13.6% of total)ival-fmod: 14.0ms (11.2% of total)ival-cos: 13.0ms (10.4% of total)ival-add: 11.0ms (8.8% of total)const: 7.0ms (5.6% of total)ival-sqrt: 4.0ms (3.2% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))> |
#<alt #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))> |
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))> |
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))> |
#<alt (exp.f64 x)> |
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))> |
#<alt #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))> |
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))> |
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))> |
| Outputs |
|---|
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))> |
#<alt (+ (* 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))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt (fmod (exp x) (sqrt (cos x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
#<alt (sqrt (cos x))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (sqrt (cos x)) |
| 0.0ms | x | @ | -inf | (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) |
| 0.0ms | x | @ | inf | (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) |
| 0.0ms | x | @ | 0 | (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) |
| 0.0ms | x | @ | inf | (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) |
| 1× | egg-herbie |
| 10 220× | lower-fma.f64 |
| 10 220× | lower-fma.f32 |
| 4 242× | lower-*.f64 |
| 4 242× | lower-*.f32 |
| 1 426× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 1837 |
| 1 | 250 | 1732 |
| 2 | 688 | 1656 |
| 3 | 2166 | 1606 |
| 4 | 6368 | 1606 |
| 0 | 8202 | 1503 |
| 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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(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)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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)))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 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))) |
(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)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
1 |
(+ 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))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos 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 (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 x (fma.f64 x #s(literal 1/2 binary64) #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 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (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 x (fma.f64 x #s(literal 1/2 binary64) #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 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(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 x (fma.f64 x #s(literal 1/2 binary64) #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 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (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 x (fma.f64 x #s(literal 1/2 binary64) #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 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (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 x (fma.f64 x #s(literal 1/2 binary64) #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 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
| 9 880× | lower-fma.f32 |
| 9 862× | lower-fma.f64 |
| 3 996× | lower-*.f32 |
| 3 982× | lower-*.f64 |
| 3 718× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 318 |
| 0 | 82 | 318 |
| 1 | 243 | 313 |
| 2 | 1583 | 313 |
| 0 | 8495 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) |
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) |
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))) |
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) |
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
Compiled 9 677 to 703 computations (92.7% saved)
32 alts after pruning (23 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 429 | 12 | 441 |
| Fresh | 3 | 11 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 435 | 32 | 467 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.7% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) |
| 7.4% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| 27.5% | (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) | |
| 49.6% | (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) | |
| 49.5% | (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))) | |
| 7.7% | (*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x))) | |
| ✓ | 7.7% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| ✓ | 7.6% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
| 7.7% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 7.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 7.2% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 7.3% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| 13.0% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| ✓ | 16.1% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ✓ | 16.0% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 13.1% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) x)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ✓ | 27.5% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 49.6% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| 13.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| 13.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| 7.7% | (exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) #s(literal -1 binary64))) | |
| 6.6% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) | |
| 15.0% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) | |
| 26.3% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) | |
| 24.1% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
Compiled 1 467 to 544 computations (62.9% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos 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)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (sqrt (cos 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 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) x)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos 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 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.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 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x)) |
(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) #s(literal -1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
2 calls:
| 12.0ms | x |
| 12.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 3 | x |
| 64.0% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos 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)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (sqrt (cos 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 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
1 calls:
| 6.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos 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)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (sqrt (cos 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 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.5% | 1 | x |
| 27.5% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos 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)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.5% | 1 | x |
| 27.5% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos 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)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
| Outputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.3% | 1 | x |
| 26.3% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #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 |
|---|---|---|
| 24.1% | 1 | x |
| 24.1% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03469541656449 | 0.9999999999999999 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03469541656449 | 0.9999999999999999 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 193 |
| 1 | 63 | 193 |
| 2 | 65 | 193 |
| 3 | 66 | 193 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))) |
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
| 24 200× | lower-fma.f64 |
| 24 200× | lower-fma.f32 |
| 13 324× | lower-fma.f64 |
| 13 324× | lower-fma.f32 |
| 13 324× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 318 |
| 0 | 82 | 318 |
| 1 | 243 | 313 |
| 2 | 1583 | 313 |
| 0 | 8495 | 313 |
| 0 | 47 | 269 |
| 0 | 83 | 269 |
| 1 | 221 | 265 |
| 2 | 1334 | 265 |
| 0 | 8491 | 265 |
| 0 | 76 | 401 |
| 1 | 181 | 380 |
| 2 | 412 | 368 |
| 3 | 1045 | 358 |
| 4 | 1890 | 358 |
| 5 | 3512 | 358 |
| 6 | 4863 | 358 |
| 7 | 6196 | 358 |
| 8 | 7695 | 358 |
| 0 | 8062 | 336 |
| 0 | 93 | 1837 |
| 1 | 250 | 1732 |
| 2 | 688 | 1656 |
| 3 | 2166 | 1606 |
| 4 | 6368 | 1606 |
| 0 | 8202 | 1503 |
| 0 | 117 | 1941 |
| 1 | 323 | 1832 |
| 2 | 859 | 1772 |
| 3 | 3825 | 1747 |
| 0 | 8653 | 1658 |
| 0 | 78 | 1783 |
| 1 | 185 | 1678 |
| 2 | 413 | 1618 |
| 3 | 1020 | 1568 |
| 4 | 1863 | 1568 |
| 5 | 3514 | 1568 |
| 6 | 4858 | 1568 |
| 7 | 6189 | 1568 |
| 8 | 7694 | 1568 |
| 0 | 8061 | 1491 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 376 to 187 computations (50.3% saved)
Compiled 254 to 76 computations (70.1% saved)
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