
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)
| 750.0ms | 8 256× | 0 | valid |
ival-sin: 246.0ms (63.7% of total)ival-div: 77.0ms (19.9% of total)ival-mult: 53.0ms (13.7% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% 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 |
| 81.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-sin: 38.0ms (67.4% of total)ival-mult: 14.0ms (24.8% of total)ival-div: 4.0ms (7.1% of total)ival-true: 1.0ms (1.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 36 |
| 1 | 36 | 32 |
| 2 | 81 | 32 |
| 3 | 134 | 32 |
| 4 | 258 | 32 |
| 5 | 530 | 32 |
| 6 | 1240 | 32 |
| 7 | 3202 | 32 |
| 8 | 6623 | 32 |
| 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 | 0.12109375 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.12337875976844201 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 18.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 8.0ms (65.5% of total)ival-div: 2.0ms (16.4% of total)ival-mult: 2.0ms (16.4% 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 |
|---|
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | 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 | 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 | 43 | 150 |
| 1 | 142 | 150 |
| 2 | 488 | 140 |
| 3 | 2111 | 138 |
| 4 | 7219 | 138 |
| 0 | 8012 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 y y) 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)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(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) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(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) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(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 643 to 182 computations (71.7% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 4 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 5 | 53 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 86.5% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 50.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 51.2% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 39 to 32 computations (17.9% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| 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 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 80 |
| 0 | 27 | 80 |
| 1 | 42 | 80 |
| 2 | 79 | 80 |
| 3 | 167 | 80 |
| 4 | 291 | 80 |
| 5 | 531 | 80 |
| 6 | 2618 | 80 |
| 7 | 6097 | 80 |
| 0 | 8223 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#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)))) |
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) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#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 #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) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.09375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 7.223260391743716 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 8.62445784498462 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.12337875976844201 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 31.86366729120712 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.12337875976844201 | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| accuracy | 31.430417872901735 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) |
| 51.0ms | 256× | 0 | valid |
Compiled 65 to 16 computations (75.4% saved)
ival-mult: 11.0ms (39.8% of total)ival-sin: 7.0ms (25.3% of total)ival-div: 5.0ms (18.1% of total)const: 3.0ms (10.9% of total)ival-add: 1.0ms (3.6% 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 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin 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)))) |
#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) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/ x y) |
(* x (sin y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(pow y 2) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(sin y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x)) |
| 2.0ms | y | @ | -inf | ((* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x)) |
| 1.0ms | x | @ | -inf | ((* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x)) |
| 1.0ms | x | @ | inf | ((* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x)) |
| 1.0ms | x | @ | 0 | ((* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ x y) (sin y)) (/ x y) (sin y) (/ (* (sin y) x) y) (* (sin y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 236 |
| 1 | 171 | 236 |
| 2 | 584 | 222 |
| 3 | 2558 | 216 |
| 4 | 6590 | 216 |
| 0 | 8271 | 192 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ x y) |
(* x (sin y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(pow y 2) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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)) |
(pow y 2) |
(*.f64 y y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(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) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(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) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.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 x)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(sin y) |
(sin.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 68 |
| 0 | 27 | 68 |
| 1 | 64 | 68 |
| 0 | 292 | 68 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin 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)))) |
#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) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #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) |
(*.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 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 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 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 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 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 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 -1/6 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 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #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))) |
(*.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 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) 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 (sin.f64 y) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 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))) |
(sin.f64 y) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) 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 (sin.f64 y) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
Compiled 1 321 to 300 computations (77.3% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 4 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 1 | 1 |
| Total | 85 | 8 | 93 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 40.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 86.5% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 50.3% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| ▶ | 2.8% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
| ✓ | 51.2% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 50.3% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
Compiled 84 to 64 computations (23.8% saved)
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| 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 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 156 |
| 0 | 38 | 153 |
| 1 | 64 | 153 |
| 2 | 132 | 153 |
| 3 | 349 | 153 |
| 4 | 638 | 153 |
| 5 | 975 | 153 |
| 6 | 3353 | 153 |
| 7 | 7195 | 153 |
| 0 | 8009 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) #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) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
#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) #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 #s(literal -1/6 binary64) (*.f64 y y)))) 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 (/ (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 y y) #s(literal -1/6 binary64))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #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 #s(literal -1/6 binary64) 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))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 7.223260391743716 | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) | |
| accuracy | 31.437738362668306 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) | |
| accuracy | 0.12337875976844201 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| accuracy | 0.3515625 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 31.86366729120712 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) | |
| accuracy | 0.12337875976844201 | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| accuracy | 0.234375 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 30.68761921972793 | #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 31.86366729120712 | #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| accuracy | 6.381166140989508 | (*.f64 (*.f64 y y) x) | |
| accuracy | 31.767185026014644 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
| 52.0ms | 256× | 0 | valid |
Compiled 95 to 21 computations (77.9% saved)
ival-mult: 13.0ms (39.9% of total)ival-sin: 8.0ms (24.6% of total)ival-div: 4.0ms (12.3% of total)ival-add: 4.0ms (12.3% of total)const: 4.0ms (12.3% 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)) (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) #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)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x (sin y)) |
(* x y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(pow y 2) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/6 (pow y 2)) |
(* -1/6 y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* 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) (* (* y y) -1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) (/ (* (sin y) x) y) (* (sin y) x) (* y x)) |
| 2.0ms | x | @ | -inf | ((* 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) (* (* y y) -1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) (/ (* (sin y) x) y) (* (sin y) x) (* y x)) |
| 2.0ms | x | @ | inf | ((* 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) (* (* y y) -1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) (/ (* (sin y) x) y) (* (sin y) x) (* y x)) |
| 2.0ms | y | @ | inf | ((* 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) (* (* y y) -1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) (/ (* (sin y) x) y) (* (sin y) x) (* y x)) |
| 2.0ms | x | @ | 0 | ((* 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) (* (* y y) -1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) (/ (* (sin y) x) y) (* (sin y) x) (* y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 228 |
| 1 | 180 | 228 |
| 2 | 581 | 220 |
| 3 | 2365 | 214 |
| 0 | 8027 | 193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x (sin y)) |
(* x y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(pow y 2) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/6 (pow y 2)) |
(* -1/6 y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(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) |
(pow y 2) |
(*.f64 y y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.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 x)) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 141 |
| 0 | 38 | 138 |
| 1 | 109 | 138 |
| 0 | 502 | 138 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#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) #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)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
#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) 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) y) (*.f64 y 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 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 y x) y) |
(*.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) #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 (*.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 -1/6 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) (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 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 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 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 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 #s(literal -1/216 binary64) (pow.f64 (*.f64 y y) #s(literal 3 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 (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) y) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #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 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) 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 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y)) |
(-.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))) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y #s(literal -1/6 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x))) (neg.f64 y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x))) y)) |
(neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (neg.f64 y))) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 2 749 to 516 computations (81.2% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 5 | 142 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 4 | 4 |
| Total | 140 | 10 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 40.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 86.5% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 2.8% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
| ✓ | 51.2% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 50.4% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
| ▶ | 50.4% | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) |
| ▶ | 50.4% | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
| ▶ | 2.8% | #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)))) |
Compiled 214 to 151 computations (29.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 (*.f64 y x) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) | |
| 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 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 | (*.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 221 |
| 0 | 49 | 219 |
| 1 | 88 | 219 |
| 2 | 168 | 219 |
| 3 | 383 | 219 |
| 4 | 677 | 219 |
| 5 | 1052 | 219 |
| 6 | 4673 | 219 |
| 0 | 8296 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) #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 #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 |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
(*.f64 y x) |
x |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
x |
#s(literal -1/6 binary64) |
| Outputs |
|---|
#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 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) 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)) #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 #s(literal -1/6 binary64) y) y)))) |
(*.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 #s(literal -1/6 binary64) y) y))) |
#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 #s(literal -1/6 binary64) y) y)) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
(*.f64 y x) |
x |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x)) |
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y x) |
y |
x |
#s(literal -1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 y x) y) | |
| accuracy | 31.767185026014644 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) | |
| accuracy | 0.3515625 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 31.767185026014644 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) | |
| accuracy | 0.3515625 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 30.68761921972793 | #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) | |
| accuracy | 31.86366729120712 | #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) | |
| accuracy | 6.381166140989508 | (*.f64 (*.f64 y y) x) | |
| accuracy | 30.488370375748335 | #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) | |
| accuracy | 31.767185026014644 | #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 | 0.03125 | (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) | |
| accuracy | 0.16015625 | (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 31.767185026014644 | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
| 100.0ms | 256× | 0 | valid |
Compiled 139 to 27 computations (80.6% saved)
ival-sin: 52.0ms (62.3% of total)ival-mult: 20.0ms (24% of total)ival-add: 6.0ms (7.2% of total)const: 4.0ms (4.8% of total)ival-div: 2.0ms (2.4% 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)) (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)) #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 #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) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y x) y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x y)) |
(* -1/6 x) |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/6 (pow y 2)) |
(* -1/6 y) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((* 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 y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* x (/ (sin y) y)) (+ (* (* -1/6 y) (* y x)) x) (* -1/6 y) (* y x) (* x (/ (sin y) y)) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y)) |
| 2.0ms | x | @ | -inf | ((* 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 y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* x (/ (sin y) y)) (+ (* (* -1/6 y) (* y x)) x) (* -1/6 y) (* y x) (* x (/ (sin y) y)) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y)) |
| 2.0ms | y | @ | -inf | ((* 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 y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* x (/ (sin y) y)) (+ (* (* -1/6 y) (* y x)) x) (* -1/6 y) (* y x) (* x (/ (sin y) y)) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y)) |
| 2.0ms | y | @ | inf | ((* 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 y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* x (/ (sin y) y)) (+ (* (* -1/6 y) (* y x)) x) (* -1/6 y) (* y x) (* x (/ (sin y) y)) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y)) |
| 2.0ms | x | @ | 0 | ((* 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 y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* x (/ (sin y) y)) (+ (* (* -1/6 y) (* y x)) x) (* -1/6 y) (* y x) (* x (/ (sin y) y)) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 172 |
| 1 | 160 | 172 |
| 2 | 500 | 168 |
| 3 | 1993 | 166 |
| 4 | 7111 | 166 |
| 0 | 8101 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x y)) |
(* -1/6 x) |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* x y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/6 (pow y 2)) |
(* -1/6 y) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1/6 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y x) y) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(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)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 197 |
| 0 | 49 | 195 |
| 1 | 157 | 195 |
| 0 | 595 | 192 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) #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 #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) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y x) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y x) y) |
| Outputs |
|---|
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y 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) |
(/.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 (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 y x) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) 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 (*.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 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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 y x)) (*.f64 #s(literal -1/6 binary64) y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) (*.f64 y x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) 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 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) y)) |
(-.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 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(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
#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 (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 y x) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x)) |
(*.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 (*.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 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.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 y x) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y 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 (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 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 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 y 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) |
(/.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 (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 y x) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) 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 (*.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 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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 y x)) (*.f64 #s(literal -1/6 binary64) y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) (*.f64 y x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) 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 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) y)) |
(-.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 #s(literal -1/6 binary64) y) |
(*.f64 y #s(literal -1/6 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y 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) |
(/.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 (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 y x) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) 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 (*.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 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) 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 y x)) (*.f64 #s(literal -1/6 binary64) y))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) (*.f64 y x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) 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 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y)) y)) |
(-.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 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 y x) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
Compiled 2 279 to 372 computations (83.7% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 3 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 107 | 11 | 118 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.7% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 40.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| ✓ | 86.5% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 2.8% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
| ✓ | 51.2% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | 50.4% | #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x)) |
| ✓ | 2.8% | #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)))) |
| 2.8% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64)))) | |
| 2.8% | #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))) | |
| 2.8% | #s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) y)))) |
Compiled 425 to 187 computations (56% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) y)))) |
#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) y) #s(literal -1/6 binary64)))) |
#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 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #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 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(*.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:
| 35.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | y |
| 5.0ms | x |
| 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)
Total -31.2b remaining (-100%)
Threshold costs -31.2b (-100%)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* x (/ (sin y) y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) y)))) |
#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) y) #s(literal -1/6 binary64)))) |
#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 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y x) y) #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 #s(approx (* (sin y) x) (*.f64 y x)) y) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
4 calls:
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | (/.f64 (sin.f64 y) y) |
| 51.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 51.2% | 1 | x |
| 51.2% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 12 | 14 |
| 2 | 15 | 14 |
| 3 | 23 | 14 |
| 4 | 46 | 14 |
| 5 | 219 | 14 |
| 6 | 2223 | 14 |
| 7 | 5340 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 1× | fuel |
Compiled 14 to 10 computations (28.6% saved)
(negabs x)
(abs y)
Compiled 88 to 70 computations (20.5% saved)
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