
Time bar (total: 1.5s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 306.0ms | 8 256× | 0 | valid |
ival-mult!: 52.0ms (46.5% of total)ival-div!: 39.0ms (34.9% of total)ival-add!: 19.0ms (17% of total)adjust: 1.0ms (0.9% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 75 |
| 1 | 83 | 73 |
| 2 | 243 | 73 |
| 3 | 419 | 73 |
| 4 | 767 | 73 |
| 5 | 3108 | 73 |
| 6 | 6552 | 73 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.5% | (+.f64 x (/.f64 (*.f64 y y) z)) |
(abs y)
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx z #s(hole binary64 z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z) |
| 1.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z) |
| 1.0ms | x | @ | -inf | ((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 142 |
| 0 | 41 | 140 |
| 1 | 183 | 140 |
| 0 | 1471 | 130 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx z #s(hole binary64 z)) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 x (/.f64 (*.f64 y y) z)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 x (/.f64 (*.f64 y y) z))) (-.f64 x (/.f64 (*.f64 y y) z))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 y y) z) y) (/.f64 y z) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y y) z) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) x) |
(fma.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 y (/.f64 y z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 y y) z) x) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
x |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) |
(*.f64 (/.f64 y z) y) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 y (*.f64 y (/.f64 #s(literal 1 binary64) z))) |
(*.f64 y (/.f64 y z)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 y y) z) |
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) y) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
y |
z |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 y z) y x)) |
#s(approx x x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) x)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 z x)) #s(literal 1 binary64)))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx z z) |
Compiled 448 to 228 computations (49.1% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 3 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 4 | 74 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 99.8% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
| ✓ | 94.5% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ▶ | 46.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
Compiled 27 to 27 computations (0% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 z) y) #s(hole binary64 (/ y z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (/ y z) y) x) (/ y z)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (/ y z) y) x) (/ y z)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (/ y z) y) x) (/ y z)) |
| 1.0ms | z | @ | 0 | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (/ y z) y) x) (/ y z)) |
| 1.0ms | z | @ | inf | ((+ x (/ (* y y) z)) (/ (* y y) z) (* y y) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (/ y z) y) x) (/ y z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 190 |
| 0 | 57 | 184 |
| 1 | 230 | 174 |
| 0 | 1746 | 172 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 z) y) #s(hole binary64 (/ y z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) y) |
(*.f64 y (/.f64 y z)) |
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 z)) |
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 y y) z) |
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
y |
z |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 (*.f64 (/.f64 y z) y) x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 x (*.f64 (/.f64 y z) y)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 (*.f64 (/.f64 y z) y) x)) (-.f64 (*.f64 (/.f64 y z) y) x)) |
(/.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 x (*.f64 (/.f64 y z) y))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 y (/.f64 y z) x) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 (*.f64 (/.f64 y z) y) x))) (neg.f64 (-.f64 (*.f64 (/.f64 y z) y) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 x (*.f64 (/.f64 y z) y)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 (*.f64 (/.f64 y z) y) x)) (-.f64 (*.f64 (/.f64 y z) y) x)) |
(/.f64 (*.f64 (fma.f64 (/.f64 y z) y x) (-.f64 x (*.f64 (/.f64 y z) y))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 y (/.f64 y z) x) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x (*.f64 (/.f64 y z) y)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 z z))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 y z) y x)) |
#s(approx x x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (fma.f64 y (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) x)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 z x)) #s(literal 1 binary64)))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
#s(approx (* (/ 1 z) y) (/.f64 y z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx z z) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
Compiled 613 to 303 computations (50.6% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 3 | 98 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 1 | 1 |
| Total | 96 | 6 | 102 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 60.0% | (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) y) y x) |
| ✓ | 94.5% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | 46.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ▶ | 51.9% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| ▶ | 51.9% | #s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y))) |
Compiled 51 to 49 computations (3.9% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(neg.f64 y) |
y |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) y) y x) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) y) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* (/ 1 z) (neg y)) #s(hole binary64 (* -1 (/ y z)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (* (* (* (pow z -1/2) (pow z -1/2)) y) y) x) #s(hole binary64 (+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))))) |
#s(approx (* (* (pow z -1/2) (pow z -1/2)) y) #s(hole binary64 (* -1 (/ (* y (pow (sqrt -1) 2)) z)))) |
#s(approx (* (pow z -1/2) (pow z -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) z)))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) (neg y)) (neg y)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (* (* (pow z -1/2) (pow z -1/2)) y) y) x) (* (* (pow z -1/2) (pow z -1/2)) y) (* (pow z -1/2) (pow z -1/2)) (pow z -1/2) -1/2 x) |
| 1.0ms | z | @ | 0 | ((+ x (/ (* y y) z)) (* (* (/ 1 z) (neg y)) (neg y)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (* (* (pow z -1/2) (pow z -1/2)) y) y) x) (* (* (pow z -1/2) (pow z -1/2)) y) (* (pow z -1/2) (pow z -1/2)) (pow z -1/2) -1/2 x) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) (neg y)) (neg y)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (* (* (pow z -1/2) (pow z -1/2)) y) y) x) (* (* (pow z -1/2) (pow z -1/2)) y) (* (pow z -1/2) (pow z -1/2)) (pow z -1/2) -1/2 x) |
| 1.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) (neg y)) (neg y)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (* (* (pow z -1/2) (pow z -1/2)) y) y) x) (* (* (pow z -1/2) (pow z -1/2)) y) (* (pow z -1/2) (pow z -1/2)) (pow z -1/2) -1/2 x) |
| 1.0ms | z | @ | inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) (neg y)) (neg y)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (* (* (pow z -1/2) (pow z -1/2)) y) y) x) (* (* (pow z -1/2) (pow z -1/2)) y) (* (pow z -1/2) (pow z -1/2)) (pow z -1/2) -1/2 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 327 |
| 0 | 97 | 278 |
| 0 | 347 | 268 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(neg.f64 y) |
y |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) y) y x) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) y) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* (/ 1 z) (neg y)) #s(hole binary64 (* -1 (/ y z)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (* (* (* (pow z -1/2) (pow z -1/2)) y) y) x) #s(hole binary64 (+ x (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z))))) |
#s(approx (* (* (pow z -1/2) (pow z -1/2)) y) #s(hole binary64 (* -1 (/ (* y (pow (sqrt -1) 2)) z)))) |
#s(approx (* (pow z -1/2) (pow z -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) z)))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) z) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
#s(literal 1 binary64) |
z |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
y |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 y z) y) |
(*.f64 y (/.f64 y z)) |
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 z)) |
(/.f64 (*.f64 y y) z) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) x) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) x) |
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64))) |
(pow.f64 z #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
x |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 y z) y x)) |
#s(approx x x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 z x)) #s(literal 1 binary64)) x)) |
#s(approx (+ x (/ (* y y) z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 z x))) #s(literal 1 binary64)) x))) |
#s(approx (* (/ 1 z) (neg y)) (/.f64 (neg.f64 y) z)) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx y y) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx z z) |
#s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (+ (* (* (* (pow z -1/2) (pow z -1/2)) y) y) x) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) z)) x)) |
#s(approx (* (* (pow z -1/2) (pow z -1/2)) y) (neg.f64 (/.f64 (neg.f64 y) z))) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (pow z -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))) |
Compiled 386 to 225 computations (41.7% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 2 | 58 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 3 | 3 |
| Total | 58 | 6 | 64 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 94.5% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | 46.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 51.9% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| ▶ | 34.5% | #s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y))) |
| ▶ | 51.9% | #s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y)) |
Compiled 55 to 54 computations (1.8% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 y)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 x)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* (/ 1 z) y) #s(hole binary64 (/ y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (pow (pow z -1/2) 2) (neg y)) #s(hole binary64 (* -1 (/ y z)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (* (pow (pow z -1/2) 2) (neg y)) (neg y)) #s(hole binary64 (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))) |
#s(approx (* (pow (pow z -1/2) 2) (neg y)) #s(hole binary64 (/ (* y (pow (sqrt -1) 2)) z))) |
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) z)))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (* (/ 1 z) y) (/ 1 z) 1 z y (+ x (/ (* y y) z)) (* (* (pow (pow z -1/2) 2) (neg y)) (neg y)) (* (pow (pow z -1/2) 2) (neg y)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (neg y)) |
| 2.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (* (/ 1 z) y) (/ 1 z) 1 z y (+ x (/ (* y y) z)) (* (* (pow (pow z -1/2) 2) (neg y)) (neg y)) (* (pow (pow z -1/2) 2) (neg y)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (neg y)) |
| 2.0ms | x | @ | -inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (* (/ 1 z) y) (/ 1 z) 1 z y (+ x (/ (* y y) z)) (* (* (pow (pow z -1/2) 2) (neg y)) (neg y)) (* (pow (pow z -1/2) 2) (neg y)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (neg y)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (* (/ 1 z) y) (/ 1 z) 1 z y (+ x (/ (* y y) z)) (* (* (pow (pow z -1/2) 2) (neg y)) (neg y)) (* (pow (pow z -1/2) 2) (neg y)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (neg y)) |
| 1.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (* (* (/ 1 z) y) y) (* (/ 1 z) y) (/ 1 z) 1 z y (+ x (/ (* y y) z)) (* (* (pow (pow z -1/2) 2) (neg y)) (neg y)) (* (pow (pow z -1/2) 2) (neg y)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (neg y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 318 |
| 0 | 88 | 276 |
| 0 | 301 | 265 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 y)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(neg.f64 y) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 x)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* (/ 1 z) y) #s(hole binary64 (/ y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (pow (pow z -1/2) 2) (neg y)) #s(hole binary64 (* -1 (/ y z)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (* (pow (pow z -1/2) 2) (neg y)) (neg y)) #s(hole binary64 (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))) |
#s(approx (* (pow (pow z -1/2) 2) (neg y)) #s(hole binary64 (/ (* y (pow (sqrt -1) 2)) z))) |
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) z)))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) z) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
z |
y |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64))) |
(pow.f64 z #s(literal -1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 y (/.f64 y z) x)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 z x)) #s(literal 1 binary64)) x)) |
#s(approx (+ x (/ (* y y) z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 z x))) #s(literal 1 binary64)) x))) |
#s(approx (* (/ 1 z) y) (/.f64 y z)) |
#s(approx y y) |
#s(approx (* (pow (pow z -1/2) 2) (neg y)) (/.f64 (neg.f64 y) z)) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx (pow (pow z -1/2) 2) (/.f64 #s(literal 1 binary64) z)) |
#s(approx z z) |
#s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
#s(approx (* (* (pow (pow z -1/2) 2) (neg y)) (neg y)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) z))) |
#s(approx (* (pow (pow z -1/2) 2) (neg y)) (/.f64 (neg.f64 y) z)) |
#s(approx (pow (pow z -1/2) 2) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (pow z -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))) |
Compiled 279 to 185 computations (33.7% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 2 | 41 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 40 | 7 | 47 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 94.5% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | 46.8% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 51.9% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| 34.5% | #s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) y) y)) | |
| ✓ | 51.9% | #s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y)) |
| 50.3% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 112 to 98 computations (12.5% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) y) y)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) y) y x) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
6 calls:
| 26.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 y y) |
| 99.9% | 1 | (/.f64 (*.f64 y y) z) |
| 99.9% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 15 to 24 computations (-60% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
6 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 2 | (*.f64 y y) |
| 90.5% | 3 | (/.f64 (*.f64 y y) z) |
| 78.9% | 3 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 70.6% | 3 | x |
| 83.4% | 2 | y |
| 70.2% | 3 | z |
Compiled 15 to 24 computations (-60% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) x) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) x) |
6 calls:
| 39.0ms | (*.f64 y y) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | z |
| 50.3% | 1 | x |
| 50.3% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 50.3% | 1 | (*.f64 y y) |
| 50.3% | 1 | y |
| 50.3% | 1 | (/.f64 (*.f64 y y) z) |
Compiled 15 to 24 computations (-60% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.403795821602449e-35 | 5.0882008726995526e-30 |
| 0.0ms | -3.4840388509760303e+83 | -7.497528851531406e+73 |
Compiled 9 to 12 computations (-33.3% saved)
| 1× | fuel |
Compiled 23 to 19 computations (17.4% saved)
(abs y)
Compiled 95 to 85 computations (10.5% saved)
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