
Time bar (total: 3.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 684.0ms | 8 256× | 0 | valid |
ival-sin: 276.0ms (64.1% of total)ival-div: 90.0ms (20.9% of total)ival-mult: 54.0ms (12.5% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 32.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-sin: 12.0ms (62.4% of total)ival-div: 4.0ms (20.8% of total)ival-mult: 3.0ms (15.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 39 | 38 |
| 2 | 84 | 38 |
| 3 | 137 | 38 |
| 4 | 261 | 38 |
| 5 | 533 | 38 |
| 6 | 1239 | 38 |
| 7 | 3186 | 38 |
| 8 | 6560 | 38 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 11 | 6 |
| 2 | 13 | 6 |
| 3 | 15 | 6 |
| 4 | 16 | 6 |
| 0 | 16 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(abs y)
(negabs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 6 to 5 computations (16.7% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 11 | 14 |
| 2 | 13 | 14 |
| 3 | 15 | 14 |
| 4 | 16 | 14 |
| 0 | 16 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.08984375 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.125 | (/.f64 (sin.f64 y) y) |
| 15.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 6.0ms (65.6% of total)ival-div: 2.0ms (21.9% of total)ival-mult: 2.0ms (21.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | y | @ | -inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | -inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 225 |
| 1 | 159 | 225 |
| 2 | 508 | 215 |
| 3 | 2120 | 213 |
| 4 | 7237 | 213 |
| 0 | 8030 | 195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) y) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y)) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (sin y) (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 0 | 8 | 12 |
| 1 | 14 | 12 |
| 2 | 37 | 12 |
| 3 | 145 | 12 |
| 0 | 852 | 12 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 y))) |
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) y))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (PI.f64) (neg.f64 y))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
Compiled 659 to 188 computations (71.5% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 6 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 7 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| ▶ | 89.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 49.2% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
| ▶ | 49.0% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
| ▶ | 49.7% | #s(approx (* x (/ (sin y) y)) x) |
Compiled 142 to 101 computations (28.9% saved)
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 147 |
| 0 | 38 | 147 |
| 1 | 76 | 147 |
| 2 | 232 | 147 |
| 3 | 840 | 147 |
| 4 | 2546 | 147 |
| 5 | 4795 | 147 |
| 0 | 8266 | 147 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) x) |
x |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
x |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) x) |
x |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
x |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) | |
| accuracy | 0.2779183723488511 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 4.635679941944248 | (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 32.65512497044721 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.08984375 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.25090893556036387 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 32.60110841247868 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.30036084708507543 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| accuracy | 8.592475557168067 | (*.f64 (*.f64 y y) x) | |
| accuracy | 32.480939897972654 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) | |
| accuracy | 32.18276213178449 | #s(approx (* x (/ (sin y) y)) x) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 6.497919511857415 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 67.0ms | 256× | 0 | valid |
Compiled 116 to 23 computations (80.2% saved)
ival-mult: 32.0ms (60.1% of total)ival-sin: 6.0ms (11.3% of total)const: 6.0ms (11.3% of total)ival-div: 4.0ms (7.5% of total)ival-add: 4.0ms (7.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
| Outputs |
|---|
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* x (- (* 1/120 (pow y 2)) 1/6)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* -1/6 x))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* 1/120 (* x (pow y 4))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* 1/120 (* x (pow y 2))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* x (/ (sin y) y)) (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (* x (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6)) |
| 4.0ms | x | @ | inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* x (/ (sin y) y)) (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (* x (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6)) |
| 3.0ms | x | @ | 0 | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* x (/ (sin y) y)) (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (* x (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6)) |
| 3.0ms | x | @ | -inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* x (/ (sin y) y)) (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (* x (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6)) |
| 2.0ms | y | @ | inf | ((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* x (/ (sin y) y)) (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (* x (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 868 |
| 1 | 354 | 864 |
| 2 | 1208 | 850 |
| 3 | 4323 | 850 |
| 0 | 9136 | 773 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* x (- (* 1/120 (pow y 2)) 1/6)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* -1/6 x))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* 1/120 (* x (pow y 4))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* 1/120 (* x (pow y 2))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
| Outputs |
|---|
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (/ x y) (sin y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (/ x y) (sin y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (* (* y y) x) (*.f64 (*.f64 y y) x)) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* x (- (* 1/120 (pow y 2)) 1/6)))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 x)) |
#s(approx (* (/ x y) (sin y)) x) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (/ x y) (sin y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (/ x y) (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) y) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* (/ x y) (sin y)) x) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (/ x y) (sin y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (/ x y) (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (/ x y) (sin y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) x) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (* y y) -1/6) 1) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) x) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* -1/6 x))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (* y y) -1/6) 1) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* 1/120 (* x (pow y 4))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (*.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))))) |
#s(approx (+ (* (* x (+ (* 1/120 (* y y)) -1/6)) (* y y)) x) (*.f64 (fma.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* 1/120 (* x (pow y 2))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x)) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))))) |
#s(approx (* x (+ (* 1/120 (* y y)) -1/6)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* 1/120 (* y y)) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 127 |
| 0 | 38 | 127 |
| 1 | 132 | 127 |
| 0 | 897 | 127 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) x))) |
(-.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) x) |
(+.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 y x) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(neg.f64 (*.f64 y (neg.f64 y))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1/6 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y) x x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 y y) x) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) x) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) x) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y)) y)) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 y y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y y)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) y) y)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal -1/6 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) (*.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) (*.f64 #s(literal -1/6 binary64) x))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) y)) y (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y x) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) x) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 x #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) (*.f64 #s(literal 1/6 binary64) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) x)) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) |
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) (neg.f64 y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) y)) y)) |
(-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1/120 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (/.f64 #s(literal -1/216 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 y y))) |
Compiled 5 319 to 867 computations (83.7% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 239 | 6 | 245 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 241 | 11 | 252 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 89.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 52.2% | (*.f64 (/.f64 x y) #s(approx (sin y) y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 49.2% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ▶ | 3.0% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
| ✓ | 49.0% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
| ▶ | 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
| ▶ | 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
| ▶ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
| ✓ | 49.7% | #s(approx (* x (/ (sin y) y)) x) |
Compiled 242 to 172 computations (28.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 203 |
| 0 | 50 | 201 |
| 1 | 84 | 201 |
| 2 | 156 | 201 |
| 3 | 370 | 201 |
| 4 | 654 | 201 |
| 5 | 986 | 201 |
| 6 | 3343 | 201 |
| 7 | 7207 | 201 |
| 0 | 8021 | 198 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
y |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
y |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
y |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
y |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 y x) |
(*.f64 x y) |
x |
#s(literal -1/6 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.0703125 | (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) | |
| accuracy | 0.28125 | (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) | |
| accuracy | 32.480939897972654 | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) | |
| accuracy | 0.0703125 | (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) | |
| accuracy | 0.140625 | (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.3046875 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 32.480939897972654 | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) | |
| accuracy | 0.08984375 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| accuracy | 0.33684643556036387 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 29.95567425178151 | #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 32.60110841247868 | #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) | |
| accuracy | 0.39020459708507543 | (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) | |
| accuracy | 8.592475557168067 | (*.f64 (*.f64 y y) x) | |
| accuracy | 29.706318802457023 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) | |
| accuracy | 32.480939897972654 | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.10546875 | (*.f64 (sin.f64 y) x) | |
| accuracy | 7.212587203277387 | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 87.0ms | 256× | 0 | valid |
Compiled 129 to 25 computations (80.6% saved)
ival-mult: 17.0ms (42.8% of total)ival-sin: 12.0ms (30.2% of total)ival-add: 4.0ms (10.1% of total)const: 4.0ms (10.1% of total)ival-div: 3.0ms (7.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* (* y y) x) -1/6) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* y (* -1/6 x)) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* y x) -1/6) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (* (* y y) -1/6) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* x (/ (sin y) y)) (+ (* y (* y (* -1/6 x))) x) (* y (* -1/6 x)) (* -1/6 x) (* x (/ (sin y) y)) (+ (* y (* (* y x) -1/6)) x) (* (* y x) -1/6) (* y x)) |
| 3.0ms | x | @ | inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* x (/ (sin y) y)) (+ (* y (* y (* -1/6 x))) x) (* y (* -1/6 x)) (* -1/6 x) (* x (/ (sin y) y)) (+ (* y (* (* y x) -1/6)) x) (* (* y x) -1/6) (* y x)) |
| 2.0ms | y | @ | -inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* x (/ (sin y) y)) (+ (* y (* y (* -1/6 x))) x) (* y (* -1/6 x)) (* -1/6 x) (* x (/ (sin y) y)) (+ (* y (* (* y x) -1/6)) x) (* (* y x) -1/6) (* y x)) |
| 2.0ms | x | @ | 0 | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* x (/ (sin y) y)) (+ (* y (* y (* -1/6 x))) x) (* y (* -1/6 x)) (* -1/6 x) (* x (/ (sin y) y)) (+ (* y (* (* y x) -1/6)) x) (* (* y x) -1/6) (* y x)) |
| 2.0ms | y | @ | inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* x (/ (sin y) y)) (+ (* y (* y (* -1/6 x))) x) (* y (* -1/6 x)) (* -1/6 x) (* x (/ (sin y) y)) (+ (* y (* (* y x) -1/6)) x) (* (* y x) -1/6) (* y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 851 |
| 1 | 311 | 851 |
| 2 | 951 | 833 |
| 3 | 2950 | 833 |
| 0 | 8423 | 772 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* (* y y) x) -1/6) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* y (* -1/6 x)) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* y x) -1/6) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (* (* y y) -1/6) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
| Outputs |
|---|
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (* (sin y) x) (*.f64 (sin.f64 y) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* (* y y) x) -1/6) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* (* y y) x) -1/6) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2)))) |
#s(approx (* (* y y) x) (*.f64 (*.f64 y y) x)) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* y (* -1/6 x)) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* y (* -1/6 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#s(approx (* -1/6 x) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* y x) -1/6) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* y (* -1/6 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* y x) (*.f64 x y)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) x) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) (*.f64 x y)) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y)) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (* (sin y) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) y) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) x) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* (* y x) -1/6)) x) x) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (* y y) -1/6) 1) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (* (* y y) -1/6) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (* (* y y) -1/6) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* (* y x) -1/6)) x) x) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 x)) |
#s(approx (+ (* y (* (* y x) -1/6)) x) x) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* y (* y (* -1/6 x))) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* y (* (* y x) -1/6)) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 183 |
| 0 | 50 | 181 |
| 1 | 142 | 181 |
| 0 | 546 | 178 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 x y) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) y)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) y)) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x))) |
(-.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/6 binary64) x) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) y)) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x))) |
(-.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/6 binary64) x) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x y) |
(*.f64 y x) |
Compiled 2 364 to 401 computations (83% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 118 | 3 | 121 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 122 | 10 | 132 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 38.5% | (/.f64 (*.f64 #s(approx (sin y) y) x) y) |
| ✓ | 89.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 52.2% | (*.f64 (/.f64 x y) #s(approx (sin y) y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 3.0% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
| ✓ | 49.0% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
| ✓ | 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
| ▶ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
| ✓ | 49.7% | #s(approx (* x (/ (sin y) y)) x) |
Compiled 121 to 86 computations (28.9% saved)
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sin y) y) | |
| cost-diff | 0 | (*.f64 #s(approx (sin y) y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (sin y) y) x) y) | |
| cost-diff | 0 | #s(approx (sin y) y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(approx (sin y) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) | |
| cost-diff | 0 | #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) | |
| cost-diff | 0 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 158 |
| 0 | 38 | 158 |
| 1 | 70 | 158 |
| 2 | 144 | 158 |
| 3 | 361 | 158 |
| 4 | 634 | 158 |
| 5 | 974 | 158 |
| 6 | 3372 | 158 |
| 7 | 7192 | 158 |
| 0 | 8006 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
y |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(/.f64 x y) |
x |
y |
#s(approx (sin y) y) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 #s(approx (sin y) y) x) |
#s(approx (sin y) y) |
y |
x |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
y |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) x) |
x |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(*.f64 (/.f64 #s(approx (sin y) y) y) x) |
(/.f64 x y) |
x |
y |
#s(approx (sin y) y) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 (/.f64 #s(approx (sin y) y) y) x) |
(*.f64 #s(approx (sin y) y) x) |
#s(approx (sin y) y) |
y |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (*.f64 #s(approx (sin y) y) x) | |
| accuracy | 7.212587203277387 | (/.f64 (*.f64 #s(approx (sin y) y) x) y) | |
| accuracy | 32.57799304589002 | #s(approx (sin y) y) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 6.497919511857415 | (*.f64 (/.f64 x y) #s(approx (sin y) y)) | |
| accuracy | 32.57799304589002 | #s(approx (sin y) y) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) | |
| accuracy | 0.35546875 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 29.95567425178151 | #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) | |
| accuracy | 32.60110841247868 | #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) | |
| accuracy | 0.3046875 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 29.706318802457023 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)) | |
| accuracy | 32.480939897972654 | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
| 52.0ms | 256× | 0 | valid |
Compiled 90 to 24 computations (73.3% saved)
ival-mult: 18.0ms (46% of total)ival-sin: 7.0ms (17.9% of total)ival-div: 5.0ms (12.8% of total)ival-add: 5.0ms (12.8% of total)const: 4.0ms (10.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(/.f64 x y) |
#s(approx (sin y) y) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 #s(approx (sin y) y) x) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 #s(literal -1/6 binary64) y) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* (* -1/6 x) y) y) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* -1/6 x) y) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (* (* -1/6 y) y) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (* -1/6 y) #s(hole binary64 (* -1/6 y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* -1/6 x) y) y) (* (* -1/6 x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x) (* -1/6 x) (* -1/6 y)) |
| 3.0ms | y | @ | -inf | ((* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* -1/6 x) y) y) (* (* -1/6 x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x) (* -1/6 x) (* -1/6 y)) |
| 2.0ms | x | @ | -inf | ((* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* -1/6 x) y) y) (* (* -1/6 x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x) (* -1/6 x) (* -1/6 y)) |
| 2.0ms | x | @ | inf | ((* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* -1/6 x) y) y) (* (* -1/6 x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x) (* -1/6 x) (* -1/6 y)) |
| 2.0ms | x | @ | 0 | ((* x (/ (sin y) y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* -1/6 x) y) y) (* (* -1/6 x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x) (* -1/6 x) (* -1/6 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 719 |
| 1 | 294 | 719 |
| 2 | 930 | 697 |
| 3 | 2922 | 697 |
| 0 | 8411 | 650 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (* (* -1/6 x) y) y) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* -1/6 x) y) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (* (* -1/6 y) y) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (* -1/6 y) #s(hole binary64 (* -1/6 y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (* (* -1/6 x) y) y) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (* (* (* -1/6 x) y) y) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (* (* -1/6 x) y) #s(hole binary64 (* -1/6 (* x y)))) |
#s(approx (* (* -1/6 x) y) (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y)))) |
#s(approx (* (sin y) x) (*.f64 (sin.f64 y) x)) |
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x))) |
#s(approx (* -1/6 x) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1 (* x (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) x) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) x) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin y) y) #s(hole binary64 1)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (* y y) -1/6) 1) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (* (* -1/6 y) y) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (* (* -1/6 y) y) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) x) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (sin y) #s(hole binary64 y)) |
#s(approx (sin y) y) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)) |
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))) |
#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x)) |
#s(approx (/ (* (sin y) x) y) x) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2)))))) |
#s(approx (/ (* (sin y) x) y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (* (sin y) x) #s(hole binary64 (* x y))) |
#s(approx (* (sin y) x) (*.f64 y x)) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2))))))) |
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y)) |
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))) |
#s(approx (* (sin y) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y x))) |
#s(approx (* -1/6 y) #s(hole binary64 (* -1/6 y))) |
#s(approx (* -1/6 y) (*.f64 #s(literal -1/6 binary64) y)) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* -1/6 (* x (pow y 2))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) #s(hole binary64 (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y))) |
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y)) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* -1/6 (pow y 2)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (sin y) (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 144 |
| 0 | 38 | 144 |
| 1 | 104 | 144 |
| 0 | 512 | 139 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(/.f64 x y) |
#s(approx (sin y) y) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(*.f64 #s(approx (sin y) y) x) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 #s(literal -1/6 binary64) y) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y x)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(*.f64 x (/.f64 #s(approx (sin y) y) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y)) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y)) y)) |
(neg.f64 (/.f64 (*.f64 #s(approx (sin y) y) x) (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
#s(approx (sin y) y) |
(*.f64 #s(approx (sin y) y) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(*.f64 x (/.f64 #s(approx (sin y) y) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y)) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (sin y) y)) y)) |
(neg.f64 (/.f64 (*.f64 #s(approx (sin y) y) x) (neg.f64 y))) |
(*.f64 #s(approx (sin y) y) x) |
(*.f64 x #s(approx (sin y) y)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y #s(literal -1/6 binary64)) |
Compiled 1 819 to 314 computations (82.7% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 1 | 96 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 6 | 6 |
| Total | 95 | 11 | 106 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 38.5% | (/.f64 (*.f64 #s(approx (sin y) y) x) y) |
| ✓ | 89.8% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 52.2% | (*.f64 (/.f64 x y) #s(approx (sin y) y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 3.0% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
| ✓ | 49.0% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
| ✓ | 49.2% | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
| 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))) | |
| ✓ | 3.0% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
| ✓ | 49.7% | #s(approx (* x (/ (sin y) y)) x) |
Compiled 390 to 171 computations (56.2% saved)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 6.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
4 calls:
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | x |
| 62.6% | 2 | (/.f64 (sin.f64 y) y) |
| 62.4% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.6% | 2 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
(/.f64 (*.f64 #s(approx (sin y) y) x) y) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
(*.f64 (/.f64 x y) #s(approx (sin y) y)) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | (/.f64 (sin.f64 y) y) |
| 62.5% | 2 | y |
Compiled 5 to 6 computations (-20% saved)
Total -30.2b remaining (-93.9%)
Threshold costs -30.2b (-93.9%)
| Inputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) x) |
4 calls:
| 5.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 49.7% | 1 | x |
| 49.7% | 1 | (/.f64 (sin.f64 y) y) |
| 49.7% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 0.0032399569650217105 | 9243745.016913828 |
| 31.0ms | 144× | 0 | valid |
Compiled 261 to 190 computations (27.2% saved)
ival-sin: 4.0ms (62.4% of total)ival-div: 1.0ms (15.6% of total)ival-mult: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.4154688115358923e+24 | 2.743859274299304e+26 |
| 9.0ms | 112× | 0 | valid |
Compiled 170 to 136 computations (20% saved)
ival-sin: 5.0ms (73.5% of total)ival-div: 1.0ms (14.7% of total)ival-mult: 1.0ms (14.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 73 |
| 1 | 32 | 73 |
| 2 | 34 | 73 |
| 3 | 36 | 73 |
| 4 | 37 | 73 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 9/2 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) (*.f64 (/.f64 x y) #s(approx (sin y) y))) |
(if (<=.f64 y #s(literal 4400000000000000033554432 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (*.f64 (/.f64 x y) #s(approx (sin y) y))) |
#s(approx (* x (/ (sin y) y)) x) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 9/2 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)) (*.f64 (/.f64 x y) #s(approx (sin y) y))) |
(if (<=.f64 y #s(literal 4400000000000000033554432 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) (*.f64 (/.f64 x y) #s(approx (sin y) y))) |
#s(approx (* x (/ (sin y) y)) x) |
| 1× | fuel |
Compiled 73 to 29 computations (60.3% saved)
(negabs x)
(abs y)
Compiled 206 to 108 computations (47.6% saved)
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