
Time bar (total: 1.4s)
| 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)
| 456.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div!: 58.0ms (45.1% of total)ival-mult!: 47.0ms (36.5% of total)ival-add!: 21.0ms (16.3% of total)adjust: 1.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 0 | - | 3 | (1.902344336621151e-43 2.678359090017077e-160 -4.0909685589836537e-159) | (/.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 | 15 | 0 |
| ↳ | (*.f64 y y) | overflow | 65 | |
/.f64 | (/.f64 (*.f64 y y) z) | u/n | 3 | 0 |
| ↳ | (*.f64 y y) | underflow | 57 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 18 | 0 |
| - | 0 | 238 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 238 |
| number | freq |
|---|---|
| 0 | 238 |
| 1 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult!: 24.0ms (85.5% of total)ival-div!: 3.0ms (10.7% of total)ival-add!: 1.0ms (3.6% of total)adjust: 0.0ms (0% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 75 |
| 1 | 70 | 73 |
| 2 | 177 | 73 |
| 3 | 341 | 73 |
| 4 | 584 | 73 |
| 5 | 622 | 73 |
| 1× | saturated |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.4% | (+.f64 x (/.f64 (*.f64 y y) z)) |
(abs y)
Compiled 14 to 12 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 | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z) |
| 1.0ms | y | @ | 0 | ((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z) |
| 1.0ms | z | @ | -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) |
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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 6 | 83 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 7 | 84 |
| Status | Accuracy | Program |
|---|---|---|
| 93.3% | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) | |
| ▶ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 99.8% | (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x) |
| ✓ | 93.4% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ▶ | 99.9% | (+.f64 x (*.f64 (/.f64 y z) y)) |
| ▶ | 48.3% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ▶ | 47.5% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 109 to 88 computations (19.3% saved)
| Inputs |
|---|
(+.f64 x (*.f64 (/.f64 y z) y)) |
x |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#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 y z) y x) |
(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) |
| Outputs |
|---|
#s(approx (+ x (* (/ y z) y)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (* (/ y z) y)) #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 (+ (* (/ 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 (+ (* (* (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 (+ x (* (/ y z) y)) #s(hole binary64 x)) |
#s(approx (+ x (* (/ y z) y)) #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 (+ (* (/ 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 (+ (* (* (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 (+ x (* (/ y z) y)) #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 (+ (* (/ y z) 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) y) #s(hole binary64 (/ (pow y 2) z))) |
#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 (+ x (* (/ y z) y)) #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 (+ (* (/ y z) 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 (+ x (* (/ y z) y)) #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 (+ (* (/ y z) y) x) #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))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((+ x (* (/ y z) y)) x (* (/ y z) y) (/ y z) y z (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1) |
| 1.0ms | y | @ | -inf | ((+ x (* (/ y z) y)) x (* (/ y z) y) (/ y z) y z (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1) |
| 1.0ms | z | @ | -inf | ((+ x (* (/ y z) y)) x (* (/ y z) y) (/ y z) y z (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1) |
| 1.0ms | z | @ | 0 | ((+ x (* (/ y z) y)) x (* (/ y z) y) (/ y z) y z (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1) |
| 1.0ms | z | @ | inf | ((+ x (* (/ y z) y)) x (* (/ y z) y) (/ y z) y z (+ x (/ (* y y) z)) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ y z) y) x) (+ (* (* (pow z -1) y) y) x) (* (pow z -1) y) (pow z -1) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 600 |
| 0 | 93 | 555 |
| 1 | 285 | 555 |
| 0 | 1887 | 547 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(+.f64 x (*.f64 (/.f64 y z) y)) |
x |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#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 y z) y x) |
(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) |
#s(approx (+ x (* (/ y z) y)) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ x (* (/ y z) y)) #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 (+ (* (/ 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 (+ (* (* (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 (+ x (* (/ y z) y)) #s(hole binary64 x)) |
#s(approx (+ x (* (/ y z) y)) #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 (+ (* (/ 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 (+ (* (* (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 (+ x (* (/ y z) y)) #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 (+ (* (/ y z) 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) y) #s(hole binary64 (/ (pow y 2) z))) |
#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 (+ x (* (/ y z) y)) #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 (+ (* (/ y z) 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 (+ x (* (/ y z) y)) #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 (+ (* (/ y z) y) x) #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))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (/.f64 (neg.f64 y) z) y))))) |
(/.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 z) y) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.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 z) y)))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) 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 z) y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.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 z) y))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x 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 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 (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 (*.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 (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 y) (pow.f64 z #s(literal -1 binary64)) 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 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 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.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 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) y))) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(-.f64 x (*.f64 (/.f64 (neg.f64 y) z) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #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 z) y))))) (/.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 z) y)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
x |
(*.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 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 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 (*.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 (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 y) (pow.f64 z #s(literal -1 binary64))) |
(*.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 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 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
y |
z |
#s(approx (+ (* (/ y z) y) x) x) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) 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 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 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 (*.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 (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 y) (pow.f64 z #s(literal -1 binary64))) |
(*.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 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 y) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (/.f64 (neg.f64 y) z) y))))) |
(/.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 z) y) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.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 z) y)))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) 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 z) y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.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 z) y))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x 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 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 (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 (*.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 (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 y) (pow.f64 z #s(literal -1 binary64)) 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 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 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.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 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) y))) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(-.f64 x (*.f64 (/.f64 (neg.f64 y) z) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #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 z) y))))) (/.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 z) y)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (/.f64 (neg.f64 y) z) y))))) |
(/.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 z) y) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) y)))) |
(/.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 z) y)))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) 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 z) y) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 y z) y))) |
(/.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 z) y))))) |
(/.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 z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x 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 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 (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 (*.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 (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 y) (pow.f64 z #s(literal -1 binary64)) 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 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 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y z) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 y z) y))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 y z) y)))) |
(-.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 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) y))) |
(-.f64 x (*.f64 (neg.f64 y) (/.f64 y z))) |
(-.f64 x (*.f64 (/.f64 (neg.f64 y) z) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #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 z) y))))) (/.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 z) y)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 y z) y) (-.f64 (*.f64 (/.f64 y z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 y z) y) x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(*.f64 (*.f64 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) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx x x) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (/ y z) y) x) x) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) x x)) |
#s(approx (+ (* (/ y z) y) x) x) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) x x)) |
#s(approx (+ (* (/ y z) y) x) x) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) x x)) |
#s(approx (+ (* (/ y z) y) x) x) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) x x)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (* y y) z) (*.f64 (/.f64 y z) y)) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx y y) |
#s(approx (/ (* y y) z) (*.f64 (/.f64 y z) y)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (pow z -1) y) (/.f64 y z)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx z z) |
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 z x (*.f64 y y)) z)) |
#s(approx (pow z -1) (pow.f64 z #s(literal -1 binary64))) |
Compiled 2 148 to 429 computations (80% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 3 | 172 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 170 | 9 | 179 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.3% | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ▶ | 51.8% | (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
| ▶ | 99.8% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
| ✓ | 93.4% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | 99.9% | (+.f64 x (*.f64 (/.f64 y z) y)) |
| ▶ | 53.8% | #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
| ✓ | 48.3% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 47.5% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 83 to 63 computations (24.1% saved)
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
(*.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 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(pow.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 y y) |
| 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 (+ (* (* (/ 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 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (+ (* (* (/ 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) y) (* (pow z -1/2) y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (+ (* (* (/ 1 z) 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)) 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) y) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 z) y) #s(hole binary64 (/ y z))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* (/ y z) y) x) #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) y) (* (pow z -1/2) 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 (+ (* (* (/ 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 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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) (* 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 -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 (+ x (* -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)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y)) |
| 4.0ms | z | @ | -inf | ((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y)) |
| 2.0ms | z | @ | 0 | ((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y)) |
| 1.0ms | y | @ | 0 | ((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 728 |
| 0 | 117 | 674 |
| 0 | 376 | 658 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
(*.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 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
(pow.f64 z #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 y y) |
#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 (+ (* (* (/ 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 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (+ (* (* (/ 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) y) (* (pow z -1/2) y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (+ (* (* (/ 1 z) 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)) 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) y) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 z) y) #s(hole binary64 (/ y z))) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* (/ y z) y) x) #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) y) (* (pow z -1/2) 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 (+ (* (* (/ 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 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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) (* 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 -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 (+ x (* -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)))) |
| Outputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(*.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) |
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 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 z #s(literal -1/2 binary64))) 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 (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 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) 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 (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) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
(/.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 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 z #s(literal -1/2 binary64))) 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 (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 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) 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 (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 -1/2 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 (*.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 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 z #s(literal -1/2 binary64))) 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 (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 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) 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 (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 -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(*.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 (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx x x) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (* (/ 1 z) y) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (/ y z) y) x) x) |
#s(approx (+ (* (/ y z) y) x) (*.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 (+ (* (* (/ 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 (+ (* (* (/ 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 (+ (* (/ y z) 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) 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) 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) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x))) |
#s(approx (* (/ y z) y) (*.f64 (/.f64 y z) y)) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx y y) |
#s(approx (* (/ 1 z) y) (/.f64 y z)) |
#s(approx (* (pow z -1/2) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (+ (* (/ y z) 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 (+.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 (+ (* (* (/ 1 z) y) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx z z) |
#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 (+ (* (* (/ 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 (+ (* (* (/ 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 (+ (* (* (/ 1 z) y) y) x) (fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) z) #s(literal -1 binary64) x)) |
#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))) |
Compiled 1 410 to 211 computations (85% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 2 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 5 | 5 |
| Total | 105 | 11 | 116 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.3% | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 51.8% | (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
| ▶ | 51.8% | (fma.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) x) |
| ✓ | 99.8% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
| ✓ | 93.4% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | 99.9% | (+.f64 x (*.f64 (/.f64 y z) y)) |
| ✓ | 53.8% | #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
| ▶ | 87.4% | #s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
| ✓ | 48.3% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 47.5% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 119 to 90 computations (24.4% saved)
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 y y) x) z) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
z |
#s(literal 1 binary64) |
(fma.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) x) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.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)) |
(sqrt.f64 z) |
| 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 (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (/ (pow y 2) (* x z)))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (/ (+ x (/ (pow y 2) z)) x))) |
#s(approx (/ (/ (* y y) x) z) #s(hole binary64 (/ (pow y 2) (* x z)))) |
#s(approx (/ (* y y) x) #s(hole binary64 (/ (pow y 2) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 1)) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (+ 1 (/ (pow y 2) (* x z))))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (* (+ (/ (/ (* y y) x) z) 1) 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)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (* (pow y 2) (+ (/ 1 (* x z)) (/ 1 (pow y 2)))))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (/ (+ z (/ (pow y 2) x)) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 (+ x (* -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))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | 0 | ((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z)) |
| 4.0ms | z | @ | -inf | ((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z)) |
| 2.0ms | y | @ | inf | ((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 785 |
| 0 | 131 | 731 |
| 0 | 468 | 715 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 y y) x) z) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
z |
#s(literal 1 binary64) |
(fma.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) x) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.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)) |
(sqrt.f64 z) |
#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 (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (+ x (/ (pow y 2) z)))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (/ (pow y 2) (* x z)))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (/ (+ x (/ (pow y 2) z)) x))) |
#s(approx (/ (/ (* y y) x) z) #s(hole binary64 (/ (pow y 2) (* x z)))) |
#s(approx (/ (* y y) x) #s(hole binary64 (/ (pow y 2) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 (/ (pow y 2) z))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (* x z)))))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 1)) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (+ 1 (/ (pow y 2) (* x z))))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (* (+ (/ (/ (* y y) x) z) 1) 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)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (pow z -1/2) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ y z) y) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 z) (/ x (pow y 2)))))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (* (pow y 2) (+ (/ 1 (* x z)) (/ 1 (pow y 2)))))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (* (+ (/ (/ (* y y) x) z) 1) x) #s(hole binary64 (/ (+ (* x z) (pow y 2)) z))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(hole binary64 (/ (+ z (/ (pow y 2) x)) z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) 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 (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) #s(hole binary64 (+ x (* -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))))) |
| Outputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (/.f64 (*.f64 y y) x) z) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 y y) x) z))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) z) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (/.f64 (*.f64 y y) x) z))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 y y) x) z) (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) z) (/.f64 (/.f64 (*.f64 y y) x) z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 y y) x) z) (/.f64 (/.f64 (*.f64 y y) x) z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 y y) x) z) (/.f64 (/.f64 (*.f64 y y) x) z)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) z))))) |
(+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) x) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 y y) x)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 x z))) |
(/.f64 (/.f64 (*.f64 y y) x) z) |
(/.f64 (*.f64 y y) (*.f64 x z)) |
(*.f64 y (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 y y)) (neg.f64 x)) |
(/.f64 (*.f64 y y) x) |
(*.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))) |
y |
x |
z |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (*.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 x x)) (-.f64 (*.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) x)) |
(/.f64 (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.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 x x) (*.f64 (*.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) x)))) |
(fma.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 x) |
(fma.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) x) |
(fma.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) x) |
(fma.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)) x) |
(+.f64 (*.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) x) |
(+.f64 x (*.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 (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 #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))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) (*.f64 (/.f64 y z) y)) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (/ (/ (* y y) x) z) 1) (/.f64 (/.f64 (*.f64 y y) x) z)) |
#s(approx (+ (/ (/ (* y y) x) z) 1) (/.f64 (fma.f64 (/.f64 y z) y x) x)) |
#s(approx (/ (/ (* y y) x) z) (/.f64 (/.f64 (*.f64 y y) x) z)) |
#s(approx (/ (* y y) x) (/.f64 (*.f64 y y) x)) |
#s(approx x x) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (fma.f64 (/.f64 y z) y x)) |
#s(approx (+ (* (/ y z) y) x) x) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) x) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ (/ (/ (* y y) x) z) 1) #s(literal 1 binary64)) |
#s(approx (+ (/ (/ (* y y) x) z) 1) (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) x) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ y z) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) 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) y) (* (pow z -1/2) y)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y y) x) z)) #s(literal 1 binary64)) x))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
#s(approx (* (pow z -1/2) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (/ (/ (* y y) x) z) 1) (*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (*.f64 x z) #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y y))) |
#s(approx (+ (* (/ y z) y) x) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx (* (+ (/ (/ (* y y) x) z) 1) x) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx (+ (/ (/ (* y y) x) z) 1) (/.f64 (fma.f64 y (/.f64 y x) z) z)) |
#s(approx z z) |
#s(approx (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (/.f64 (fma.f64 x z (*.f64 y y)) z)) |
#s(approx (pow z -1/2) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
#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 -1/2) y) (* (pow z -1/2) 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) 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)))) |
Compiled 2 396 to 352 computations (85.3% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 1 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 9 | 9 |
| Total | 108 | 11 | 119 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.3% | (fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x) |
| ✓ | 99.9% | (fma.f64 (/.f64 y z) y x) |
| ✓ | 51.8% | (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
| ✓ | 51.8% | (fma.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) x) |
| ✓ | 99.8% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
| ✓ | 93.4% | (+.f64 x (/.f64 (*.f64 y y) z)) |
| ✓ | 99.9% | (+.f64 x (*.f64 (/.f64 y z) y)) |
| ✓ | 53.8% | #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
| 84.3% | #s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x z)) #s(literal 1 binary64)) x)) | |
| ✓ | 48.3% | #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
| ✓ | 47.5% | #s(approx (+ x (/ (* y y) z)) x) |
Compiled 265 to 139 computations (47.5% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
(fma.f64 (/.f64 y z) y x) |
(+.f64 x (*.f64 (/.f64 y z) y)) |
(+.f64 x (/.f64 (*.f64 y y) z)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x z)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 y y) x) 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 (*.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) x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
| Outputs |
|---|
(fma.f64 (/.f64 y z) y x) |
6 calls:
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| 3.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 y y) |
| 99.9% | 1 | (/.f64 (*.f64 y y) z) |
| 99.9% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
Compiled 18 to 24 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
| Outputs |
|---|
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y)) |
6 calls:
| 11.0ms | (/.f64 (*.f64 y y) z) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 2 | (*.f64 y y) |
| 85.2% | 3 | (/.f64 (*.f64 y y) z) |
| 77.8% | 3 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 70.8% | 4 | x |
| 81.6% | 2 | y |
| 65.9% | 4 | 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 y) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
#s(approx (+ x (/ (* y y) z)) x) |
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z)) |
3 calls:
| 1.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (/.f64 (*.f64 y y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 2 | (*.f64 y y) |
| 77.1% | 2 | y |
| 80.8% | 3 | (/.f64 (*.f64 y y) z) |
Compiled 9 to 12 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* y y) z)) x) |
| Outputs |
|---|
#s(approx (+ x (/ (* y y) z)) x) |
6 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.5% | 1 | z |
| 47.5% | 1 | x |
| 47.5% | 1 | (+.f64 x (/.f64 (*.f64 y y) z)) |
| 47.5% | 1 | (*.f64 y y) |
| 47.5% | 1 | y |
| 47.5% | 1 | (/.f64 (*.f64 y y) z) |
Compiled 18 to 24 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3718099004690708e-51 | 1.273738525568942e-46 |
| 0.0ms | -1.7785015644928063e-78 | -2.8259323896198254e-90 |
Compiled 10 to 12 computations (-20% saved)
Compiled 10 to 12 computations (-20% saved)
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.7785015644928063e-78 | -2.8259323896198254e-90 |
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