
Time bar (total: 1.6s)
| 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)
| 353.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-mult!: 53.0ms (46% of total)ival-div!: 41.0ms (35.5% of total)ival-add!: 19.0ms (16.5% of total)adjust: 1.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 1 | (2.4763346959159582e-62 -7.960910454993637e-301 -9.559010707599264e-279) | 0 | - | (/.f64 (*.f64 y y) z) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 y y) z) | o/n | 17 | 0 |
| ↳ | (*.f64 y y) | overflow | 71 | |
/.f64 | (/.f64 (*.f64 y y) z) | u/n | 5 | 0 |
| ↳ | (*.f64 y y) | underflow | 48 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 20 | 0 |
| - | 2 | 234 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 20 | 0 | 0 |
| - | 2 | 0 | 234 |
| number | freq |
|---|---|
| 0 | 234 |
| 1 | 22 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult!: 3.0ms (42.9% of total)ival-div!: 3.0ms (42.9% of total)ival-add!: 1.0ms (14.3% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 75 |
| 1 | 70 | 73 |
| 2 | 177 | 73 |
| 3 | 341 | 73 |
| 4 | 584 | 73 |
| 5 | 622 | 73 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 16 | 7 |
| 2 | 36 | 7 |
| 3 | 77 | 7 |
| 4 | 116 | 7 |
| 5 | 132 | 7 |
| 6 | 140 | 7 |
| 0 | 140 | 6 |
| 1× | iter-limit |
| 1× | saturated |
| 1× | iter-limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y y) z)) |
(fma.f64 (/.f64 y z) y x) |
(abs y)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.6% | (+.f64 x (/.f64 (*.f64 y y) z)) |
Compiled 7 to 6 computations (14.3% 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)) |
#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) z) #s(hole binary64 (/ (pow y 2) z))) |
#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 | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((+ 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 | x | @ | -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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 162 |
| 0 | 44 | 160 |
| 1 | 187 | 160 |
| 0 | 1477 | 149 |
| 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)) |
#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) z) #s(hole binary64 (/ (pow y 2) z))) |
#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 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #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 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y y) z) x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 y (*.f64 y (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 y (/.f64 y z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) |
(*.f64 (/.f64 y z) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (*.f64 y (pow.f64 z #s(literal -1 binary64)))) |
(*.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 (neg.f64 y) y) z)) |
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 z))) |
(*.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) (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) y) (*.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) y) |
(*.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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.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 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.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)) x) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64)))) |
#s(approx (/ (* y y) z) (/.f64 (*.f64 y y) z)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx z z) |
Compiled 956 to 229 computations (76% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 78 | 5 | 83 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 79 | 5 | 84 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.6% | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
| ▶ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 99.9% | (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
| ▶ | 47.1% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ▶ | 48.4% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 88 to 70 computations (20.5% saved)
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(pow.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
| Outputs |
|---|
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole 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 (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x 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 (+ (* (* (pow z -1) y) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (* y y) z) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (pow z -1) y) #s(hole binary64 (/ y z))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (pow z -1) #s(hole binary64 (/ 1 z))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ (* (/ y z) y) x) (/ y z) y z x (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1 (+ (* (pow z -1) (* y y)) x)) |
| 1.0ms | y | @ | -inf | ((+ (* (/ y z) y) x) (/ y z) y z x (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1 (+ (* (pow z -1) (* y y)) x)) |
| 1.0ms | z | @ | -inf | ((+ (* (/ y z) y) x) (/ y z) y z x (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1 (+ (* (pow z -1) (* y y)) x)) |
| 1.0ms | z | @ | 0 | ((+ (* (/ y z) y) x) (/ y z) y z x (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1 (+ (* (pow z -1) (* y y)) x)) |
| 1.0ms | z | @ | inf | ((+ (* (/ y z) y) x) (/ y z) y z x (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1 (+ (* (pow z -1) (* y y)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 592 |
| 0 | 91 | 539 |
| 1 | 291 | 539 |
| 0 | 1880 | 531 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (/.f64 y z) y x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(pow.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole 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 (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x 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 (+ (* (* (pow z -1) y) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (* y y) z) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (pow z -1) y) #s(hole binary64 (/ y z))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (+ (* (* (pow z -1) y) y) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (pow z -1) #s(hole binary64 (/ 1 z))) |
#s(approx (+ (* (pow z -1) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
| Outputs |
|---|
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y) x) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) y)) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 z #s(literal -1 binary64)))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) 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 y) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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)) |
(/.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)) |
y |
z |
x |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) z)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z)) |
(*.f64 (/.f64 y z) y) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 y z)) |
(*.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) |
(/.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 (neg.f64 y) y) z)) |
(neg.f64 (/.f64 (*.f64 y y) (neg.f64 z))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(*.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) (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) y) (*.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) y) |
(*.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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.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 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.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)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y) x) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) y)) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 z #s(literal -1 binary64)))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) 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 y) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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)) |
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 y #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 (*.f64 #s(literal 1 binary64) y) z) |
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 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 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 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))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y y) z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y y) z))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (-.f64 (/.f64 (*.f64 y y) z) x) (*.f64 x x))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (fabs.f64 y)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y y)) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) z) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) z) x) |
(fma.f64 (/.f64 y z) y x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 y (/.f64 y z) x) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y) x) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) z) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y y) z))) (/.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y y) z)))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y)) y)) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 z #s(literal -1 binary64)))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) 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 y) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (*.f64 y y) z)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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)) |
#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 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 y z) y 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 (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) x x)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx y y) |
#s(approx (/ (* y y) z) (/.f64 (*.f64 y y) z)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (pow z -1) y) (/.f64 y z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx z z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx (pow z -1) (pow.f64 z #s(literal -1 binary64))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
Compiled 2 761 to 457 computations (83.4% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 208 | 6 | 214 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 210 | 9 | 219 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 92.6% | (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
| ▶ | 51.1% | (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) y x) |
| ▶ | 99.9% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
| 26.7% | (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) | |
| ✓ | 47.1% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ▶ | 53.2% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| ▶ | 27.7% | #s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
| ✓ | 48.4% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 186 to 133 computations (28.5% saved)
| Inputs |
|---|
(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) |
z |
y |
x |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(*.f64 y y) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) y x) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
| Outputs |
|---|
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole 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 (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x 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 (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #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 (* (/ y z) y) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (pow z -1/2) (* (pow z -1/2) y)) #s(hole binary64 (/ y z))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #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 (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) 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 z) (pow y 2)) z))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) #s(hole binary64 (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#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)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (* y y) (+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
| 2.0ms | y | @ | -inf | ((+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (* y y) (+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
| 2.0ms | y | @ | inf | ((+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (* y y) (+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
| 2.0ms | z | @ | 0 | ((+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (* y y) (+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
| 1.0ms | y | @ | 0 | ((+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (* y y) (+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 830 |
| 0 | 133 | 761 |
| 0 | 406 | 744 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(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) |
z |
y |
x |
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(*.f64 y y) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) y x) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx x #s(hole 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 (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x 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 (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #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 (* (/ y z) y) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (pow z -1/2) (* (pow z -1/2) y)) #s(hole binary64 (/ y z))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ x (/ (* y y) z)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) #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 (+ x (/ (* y y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (+ (* (/ 1 z) (* y y)) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) 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 z) (pow y 2)) z))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) #s(hole binary64 (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#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)))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x)))) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y) x) |
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x) |
(+.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) z) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
x |
#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 (pow.f64 z #s(literal -1 binary64)) y) y) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x)))) |
(fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) y) x) |
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y) x) |
(+.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y)) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
#s(approx (+ x (/ (* y y) z)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y y)) |
(*.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(*.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (fabs.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 z #s(literal -1/2 binary64))) y) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(*.f64 y (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 z #s(literal -1/2 binary64)))) |
(pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 z #s(literal -1/2 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) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) x)))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y y) x) |
(fma.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (neg.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) x) |
(fma.f64 (fabs.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (fabs.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) x) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 z #s(literal -1/2 binary64))) y x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) y) x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) x) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 z #s(literal -1/2 binary64))) x) |
(+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) x) |
(+.f64 x (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) y) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx x 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 (+ (* (* (/ 1 z) y) y) x) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) x) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) x) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) x) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x))) |
#s(approx (+ x (/ (* y y) z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x))) |
#s(approx (* (/ 1 z) y) (/.f64 y z)) |
#s(approx y y) |
#s(approx (* (/ y z) y) (/.f64 (*.f64 y y) z)) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (/.f64 (*.f64 y y) z)) |
#s(approx (* (pow z -1/2) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
#s(approx (* (pow z -1/2) (* (pow z -1/2) y)) (/.f64 y z)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx (/ 1 z) (pow.f64 z #s(literal -1 binary64))) |
#s(approx z z) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) 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 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) z))) |
#s(approx (* (pow z -1/2) y) (*.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))) |
#s(approx (pow z -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) z) #s(literal -1 binary64) x)) |
#s(approx (* (pow z -1/2) (* (pow z -1/2) y)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) z))) |
Compiled 2 563 to 315 computations (87.7% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 2 | 164 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 164 | 9 | 173 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 92.6% | (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
| ▶ | 51.1% | (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) y x) |
| ✓ | 99.9% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
| ▶ | 26.7% | (/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
| ✓ | 47.1% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 53.2% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| ▶ | 27.7% | #s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y))) |
| ✓ | 48.4% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 117 to 90 computations (23.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(pow.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
y |
(*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) |
#s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) |
(pow.f64 z #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(-.f64 (/.f64 (*.f64 y y) z) x) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) y x) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) 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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (/ (pow y 4) (pow z 2)))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (/ (pow y 4) (pow z 2))))) |
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (+ (* -1 x) (/ (pow y 2) z)))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 x)) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (* (pow x 2) (- (/ (pow y 4) (* (pow x 2) (pow z 2))) 1)))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (* x (- (/ (pow y 2) (* x z)) 1)))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (pow y 2) (* x z)))))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (pow y 4) #s(hole binary64 (pow y 4))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (- (/ (pow y 2) z) x))) |
#s(approx (/ (* y y) z) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (pow z -1/2) (* (pow z -1/2) 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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (* (pow y 4) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow z 2)))))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (/ 1 z))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #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 (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (/ (+ (* -1 (* (pow x 2) (pow z 2))) (pow y 4)) (pow z 2)))) |
#s(approx (pow z -2) #s(hole binary64 (/ 1 (pow z 2)))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (/ (+ (* -1 (* x z)) (pow y 2)) z))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) #s(hole binary64 (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#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)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 56.0ms | z | @ | -inf | ((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (pow z -2) -2 (pow y 4) 4 (* (neg x) x) (neg x) x (- (/ (* y y) z) x) (/ (* y y) z) (* y y) (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
| 3.0ms | y | @ | inf | ((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (pow z -2) -2 (pow y 4) 4 (* (neg x) x) (neg x) x (- (/ (* y y) z) x) (/ (* y y) z) (* y y) (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
| 3.0ms | y | @ | -inf | ((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (pow z -2) -2 (pow y 4) 4 (* (neg x) x) (neg x) x (- (/ (* y y) z) x) (/ (* y y) z) (* y y) (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
| 3.0ms | z | @ | 0 | ((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (pow z -2) -2 (pow y 4) 4 (* (neg x) x) (neg x) x (- (/ (* y y) z) x) (/ (* y y) z) (* y y) (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
| 2.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) 1 (sqrt z) (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (pow z -2) -2 (pow y 4) 4 (* (neg x) x) (neg x) x (- (/ (* y y) z) x) (/ (* y y) z) (* y y) (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (* (pow z -1/2) (* (pow z -1/2) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1171 |
| 0 | 192 | 1083 |
| 0 | 705 | 1066 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(pow.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
y |
(*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) |
#s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) |
(pow.f64 z #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(-.f64 (/.f64 (*.f64 y y) z) x) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) y x) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) 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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (/ (pow y 4) (pow z 2)))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (+ (* -1 (pow x 2)) (/ (pow y 4) (pow z 2))))) |
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (+ (* -1 x) (/ (pow y 2) z)))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 x)) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (* (pow x 2) (- (/ (pow y 4) (* (pow x 2) (pow z 2))) 1)))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (* x (- (/ (pow y 2) (* x z)) 1)))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (pow y 2) (* x z)))))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (pow y 4) #s(hole binary64 (pow y 4))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (- (/ (pow y 2) z) x))) |
#s(approx (/ (* y y) z) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (pow z -1/2) (* (pow z -1/2) 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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (* (pow y 4) (+ (* -1 (/ (pow x 2) (pow y 4))) (/ 1 (pow z 2)))))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (/ 1 z))))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #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 (pow z -1/2) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) #s(hole binary64 (/ (+ (* -1 (* (pow x 2) (pow z 2))) (pow y 4)) (pow z 2)))) |
#s(approx (pow z -2) #s(hole binary64 (/ 1 (pow z 2)))) |
#s(approx (- (/ (* y y) z) x) #s(hole binary64 (/ (+ (* -1 (* x z)) (pow y 2)) z))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) #s(hole binary64 (* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) z)))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (pow z -1/2) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#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)))) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y)) |
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y)) |
(*.f64 (*.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 z #s(literal -1/2 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))) |
z |
#s(literal -1/2 binary64) |
y |
(*.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y) |
(*.f64 y #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) |
#s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))))) (neg.f64 (-.f64 (/.f64 (*.f64 y y) z) x))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)))) (-.f64 (/.f64 (*.f64 y y) z) x)) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (-.f64 (/.f64 (*.f64 y y) z) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 (*.f64 y y) z) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (neg.f64 x) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (neg.f64 x) x))))) |
(fma.f64 (neg.f64 x) x (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)))) |
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x)) |
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 x x)) |
(+.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal -2 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (*.f64 z z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64))) |
#s(literal -2 binary64) |
(*.f64 (*.f64 y y) (*.f64 y y)) |
(pow.f64 y #s(literal 4 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) |
#s(literal 4 binary64) |
(*.f64 (neg.f64 x) x) |
(*.f64 (*.f64 x x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(neg.f64 (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 y y) z)) (*.f64 x x)) (fma.f64 y (/.f64 y z) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 y y) z) (fma.f64 x x (*.f64 (/.f64 (*.f64 y y) z) x)))) |
(-.f64 (/.f64 (*.f64 y y) z) x) |
(*.f64 y (/.f64 y z)) |
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y) x)))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y) y) x) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) x) |
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y) |
(*.f64 (*.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) 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 (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (/.f64 (*.f64 y y) z)) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (fma.f64 y (/.f64 y z) x)) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z)))) |
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x)) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx x x) |
#s(approx (- (/ (* y y) z) x) (/.f64 (*.f64 y y) z)) |
#s(approx (- (/ (* y y) z) x) (fma.f64 y (/.f64 y z) (neg.f64 x))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (fma.f64 y (/.f64 y z) x)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) x) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (*.f64 (neg.f64 x) x)) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (*.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- (/ (* y y) z) x) (neg.f64 x)) |
#s(approx (- (/ (* y y) z) x) (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) x) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)))) |
#s(approx (- (/ (* y y) z) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)))) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (/.f64 (*.f64 y y) z)) |
#s(approx (* (pow z -1/2) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) |
#s(approx y y) |
#s(approx (pow y 4) (pow.f64 y #s(literal 4 binary64))) |
#s(approx (- (/ (* y y) z) x) (-.f64 (/.f64 (*.f64 y y) z) x)) |
#s(approx (/ (* y y) z) (/.f64 (*.f64 y y) z)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (pow z -1/2) (* (pow z -1/2) y)) (/.f64 y z)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 z #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
#s(approx (- (/ (* y y) z) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
#s(approx z z) |
#s(approx (/ 1 (sqrt z)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (/ (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (- (/ (* y y) z) x)) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (/.f64 (fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 z z))) |
#s(approx (pow z -2) (pow.f64 z #s(literal -2 binary64))) |
#s(approx (- (/ (* y y) z) x) (/.f64 (fma.f64 (neg.f64 x) z (*.f64 y y)) z)) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) z))) |
#s(approx (* (pow z -1/2) y) (*.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) |
#s(approx (pow z -1/2) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
#s(approx (sqrt z) (neg.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (pow z -1/2) (* (pow z -1/2) y)) y) x) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) z) #s(literal -1 binary64) x)) |
#s(approx (* (pow z -1/2) (* (pow z -1/2) y)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) z))) |
Compiled 4 225 to 489 computations (88.4% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 1 | 183 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 6 | 6 |
| Total | 183 | 9 | 192 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 92.6% | (fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
| ✓ | 51.1% | (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) y x) |
| ✓ | 99.9% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
| 6.7% | (/.f64 #s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z))) (-.f64 (/.f64 (*.f64 y y) z) x)) | |
| ✓ | 47.1% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 53.2% | #s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y)) |
| ✓ | 27.7% | #s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y))) |
| ✓ | 48.4% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 325 to 159 computations (51.1% 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)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)) y x) |
(/.f64 #s(approx (+ (* (pow z -2) (pow y 4)) (* (neg x) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z))) (-.f64 (/.f64 (*.f64 y y) z) x)) |
#s(approx (+ x (/ (* y y) z)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) y x) |
(/.f64 (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 (*.f64 y y) z) x)) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
6 calls:
| 11.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.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 18 to 24 computations (-33.3% 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:
| 3.0ms | (/.f64 (*.f64 y y) z) |
| 2.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.6% | 2 | (*.f64 y y) |
| 88.9% | 3 | (/.f64 (*.f64 y y) z) |
| 81.1% | 3 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 66.1% | 3 | x |
| 85.6% | 2 | y |
| 67.3% | 3 | z |
Compiled 18 to 24 computations (-33.3% 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:
| 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 |
|---|---|---|
| 48.4% | 1 | x |
| 48.4% | 1 | z |
| 48.4% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 48.4% | 1 | (*.f64 y y) |
| 48.4% | 1 | y |
| 48.4% | 1 | (/.f64 (*.f64 y y) z) |
Compiled 18 to 24 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.421877617168279e+104 | 6.091771970825411e+106 |
| 0.0ms | -47634.00635732567 | -1.114972938028031e-12 |
Compiled 10 to 12 computations (-20% saved)
| 1× | fuel |
Compiled 66 to 19 computations (71.2% saved)
(abs y)
Compiled 292 to 122 computations (58.2% saved)
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