
Time bar (total: 1.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 381.0ms | 8 256× | 0 | valid |
ival-mult: 93.0ms (44.2% of total)ival-div: 61.0ms (29% of total)ival-sub: 42.0ms (20% of total)exact: 9.0ms (4.3% of total)ival-assert: 3.0ms (1.4% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 30.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 8.0ms (43.3% of total)ival-div: 7.0ms (37.8% of total)ival-sub: 3.0ms (16.2% of total)exact: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 30 | 21 |
| 2 | 58 | 21 |
| 3 | 90 | 21 |
| 4 | 135 | 21 |
| 5 | 145 | 21 |
| 6 | 149 | 21 |
| 7 | 152 | 21 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 36 | 7 |
| 3 | 65 | 7 |
| 4 | 94 | 7 |
| 5 | 109 | 7 |
| 6 | 117 | 7 |
| 7 | 125 | 7 |
| 8 | 131 | 7 |
| 9 | 135 | 7 |
| 0 | 135 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(abs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(-.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
#s(literal 6 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (- (* x x) 3) #s(hole binary64 -3)) |
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6) |
| 1.0ms | x | @ | -inf | ((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6) |
| 1.0ms | x | @ | 0 | ((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 132 |
| 0 | 40 | 128 |
| 1 | 142 | 128 |
| 0 | 975 | 114 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(-.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal 3 binary64) |
#s(literal 6 binary64) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (- (* x x) 3) #s(hole binary64 -3)) |
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64)))) #s(literal 6 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)) |
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -6 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -3 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -3 binary64)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -3 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -3 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -3 binary64)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -3 binary64)) |
(fma.f64 x x #s(literal -3 binary64)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (*.f64 x x) #s(literal 3 binary64)) |
(+.f64 (*.f64 x x) #s(literal -3 binary64)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
#s(literal 3 binary64) |
#s(literal 6 binary64) |
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
#s(approx (- (* x x) 3) #s(literal -3 binary64)) |
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (- (* x x) 3) (*.f64 x x)) |
#s(approx (- (* x x) 3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) x) x)) |
Compiled 654 to 189 computations (71.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 55 | 6 | 61 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 56 | 6 | 62 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| 99.9% | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) | |
| ▶ | 50.8% | (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
| ▶ | 99.9% | #s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
| ▶ | 50.8% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 50.3% | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
Compiled 124 to 100 computations (19.4% saved)
| Inputs |
|---|
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
x |
(/.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
#s(approx (- (* x x) 3) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (- (* x x) 3) #s(hole binary64 -3)) |
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3))) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* x x) 3) 6) (- (* x x) 3)) |
| 2.0ms | x | @ | -inf | ((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* x x) 3) 6) (- (* x x) 3)) |
| 1.0ms | x | @ | 0 | ((+ (* x (/ x 6)) -1/2) x (/ x 6) 6 -1/2 (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* x x) 3) 6) (- (* x x) 3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 323 |
| 0 | 66 | 315 |
| 1 | 210 | 305 |
| 0 | 1265 | 294 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
x |
(/.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
#s(approx (- (* x x) 3) (*.f64 x x)) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2)) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (- (* x x) 3) #s(hole binary64 -3)) |
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3))) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/8 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64)))) #s(literal 6 binary64)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)) |
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -6 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64)) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 x #s(literal 6 binary64))) x)) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (/.f64 x #s(literal 6 binary64)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))) |
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) |
x |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 6 binary64)) |
(/.f64 (neg.f64 x) #s(literal -6 binary64)) |
(/.f64 x #s(literal 6 binary64)) |
(neg.f64 (/.f64 (neg.f64 x) #s(literal 6 binary64))) |
(neg.f64 (/.f64 x #s(literal -6 binary64))) |
#s(literal 6 binary64) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* x (/ x 6)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(literal 1/6 binary64) |
#s(approx (+ (* x (/ x 6)) -1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/6 binary64))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x)))) #s(literal 6 binary64)) |
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal -6 binary64)) |
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal 6 binary64))) |
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal -6 binary64))) |
#s(approx (- (* x x) 3) (*.f64 x x)) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* x (/ x 6)) -1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) |
#s(approx x x) |
#s(approx (/ x 6) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (+ (* x (/ x 6)) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* x (/ x 6)) -1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) |
#s(approx (* (* x x) 1/6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (* x x) 1/6) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* (* x x) 1/6) -1/2) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) |
#s(approx (- (* x x) 3) #s(literal -3 binary64)) |
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) |
#s(approx (+ (* x (/ x 6)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* x (/ x 6)) -1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (+ (* x (/ x 6)) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* x (/ x 6)) -1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (+ (* (* x x) 1/6) -1/2) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* x x) 1/6) -1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (- (* x x) 3) (*.f64 x x)) |
#s(approx (- (* x x) 3) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) #s(literal 1 binary64)) x) x)) |
Compiled 2 348 to 403 computations (82.8% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 1 | 158 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 157 | 7 | 164 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| ▶ | 99.9% | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) |
| ✓ | 50.8% | (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
| ✓ | 99.9% | #s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
| ✓ | 50.8% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 50.8% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
| ✓ | 50.3% | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
Compiled 75 to 60 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x x) |
#s(literal 6 binary64) |
#s(literal 18 binary64) |
#s(literal 36 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18)) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18))) |
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2)))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36) |
| 1.0ms | x | @ | -inf | ((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36) |
| 1.0ms | x | @ | 0 | ((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) 6 18 36) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 271 |
| 0 | 64 | 257 |
| 1 | 210 | 255 |
| 0 | 1255 | 234 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x x) |
#s(literal 6 binary64) |
#s(literal 18 binary64) |
#s(literal 36 binary64) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18)) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18))) |
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2)))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))) |
(*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 6 binary64)) #s(literal 6 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -36 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
x |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 6 binary64)) #s(literal 6 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)))) #s(literal 36 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64)) #s(literal 648 binary64)) #s(literal 1296 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 6 binary64)) #s(literal 108 binary64)) #s(literal 216 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)) #s(literal 216 binary64)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) #s(literal 36 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 5832 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64))) #s(literal 36 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))) #s(literal -36 binary64)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal 36 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))) #s(literal 36 binary64))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) #s(literal -36 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 5832 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 5832 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -18 binary64)) |
(fma.f64 (*.f64 #s(literal 6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -18 binary64)) |
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal -18 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -18 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) |
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -18 binary64)) |
(fma.f64 x (*.f64 #s(literal 6 binary64) x) #s(literal -18 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) (/.f64 #s(literal 324 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)))) (/.f64 #s(literal 5832 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64))))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -18 binary64)) |
(*.f64 (*.f64 #s(literal 6 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 6 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 6 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 6 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(literal 6 binary64) |
#s(literal 18 binary64) |
#s(literal 36 binary64) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) |
#s(approx (* (* 1/6 x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx x x) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))) |
#s(approx (- (* (* x x) 6) 18) #s(literal -18 binary64)) |
#s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))) |
#s(approx (* (* x x) 6) (*.f64 (*.f64 x x) #s(literal 6 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 x x) #s(literal 6 binary64))) |
#s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -18 binary64) #s(literal 6 binary64)) x) x)) |
Compiled 1 583 to 377 computations (76.2% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 127 | 1 | 128 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 5 | 5 |
| Total | 128 | 7 | 135 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| ▶ | 50.8% | (/.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64)) |
| ✓ | 50.8% | (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
| ✓ | 99.9% | #s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
| ✓ | 50.8% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ✓ | 50.8% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
| ✓ | 50.3% | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
Compiled 81 to 64 computations (21% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64)) |
#s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 x x) #s(literal 6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x x) |
x |
#s(literal 6 binary64) |
#s(literal 36 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18)) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18))) |
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2)))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) x 6 36) |
| 1.0ms | x | @ | inf | ((/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) x 6 36) |
| 0.0ms | x | @ | 0 | ((/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (* x x) x 6 36) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 184 |
| 0 | 45 | 180 |
| 1 | 167 | 172 |
| 0 | 1005 | 158 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64)) |
#s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 x x) #s(literal 6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x x) |
x |
#s(literal 6 binary64) |
#s(literal 36 binary64) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 -1/2)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 -18)) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (- (* 6 (pow x 2)) 18))) |
#s(approx (* (* x x) 6) #s(hole binary64 (* 6 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* 6 (pow x 2)))) |
#s(approx (- (* (* x x) 6) 18) #s(hole binary64 (* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) #s(literal 6 binary64)) #s(literal 6 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 #s(literal 6 binary64) x) x)))) #s(literal 36 binary64)) |
(/.f64 (neg.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 #s(literal 6 binary64) x) x))) #s(literal -36 binary64)) |
(/.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 #s(literal 6 binary64) x) x))) #s(literal 36 binary64))) |
(neg.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) #s(literal -36 binary64))) |
#s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 6 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 6 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 6 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 6 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
#s(literal 6 binary64) |
#s(literal 36 binary64) |
#s(approx (/ (- (* (* x x) 6) 18) 36) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
#s(approx (- (* (* x x) 6) 18) #s(literal -18 binary64)) |
#s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))) |
#s(approx (* (* x x) 6) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* (* x x) 6) 18) 36) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/6 binary64)) x) x)) |
#s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
#s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -18 binary64) #s(literal 6 binary64)) x) x)) |
Compiled 763 to 164 computations (78.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 0 | 46 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 46 | 7 | 53 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| ✓ | 50.8% | (/.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64)) |
| ✓ | 50.8% | (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
| ✓ | 99.9% | #s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
| ✓ | 50.8% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ✓ | 50.8% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
| ✓ | 50.3% | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
Compiled 178 to 99 computations (44.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(/.f64 #s(approx (- (* (* x x) 6) 18) (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 36 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
4 calls:
| 8.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 3.0ms | x |
| 3.0ms | (*.f64 x x) |
| 2.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.9% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.9% | 1 | x |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
4 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 2.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.9% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.9% | 1 | x |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
4 calls:
| 3.0ms | (*.f64 x x) |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 2.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.9% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.9% | 1 | x |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
4 calls:
| 2.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 1.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | (*.f64 x x) |
| 99.3% | 2 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.3% | 2 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.3% | 2 | x |
Compiled 16 to 13 computations (18.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
4 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 1.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | (*.f64 x x) |
| 50.3% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 50.3% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 50.3% | 1 | x |
Compiled 16 to 13 computations (18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.00018304646780511715 | 3616.8788720455555 |
| 6.0ms | 144× | 0 | valid |
Compiled 208 to 190 computations (8.7% saved)
ival-sub: 1.0ms (33.4% of total)ival-div: 1.0ms (33.4% of total)ival-mult: 1.0ms (33.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 62 |
| 1 | 31 | 62 |
| 2 | 55 | 62 |
| 3 | 85 | 62 |
| 4 | 113 | 62 |
| 5 | 130 | 62 |
| 6 | 141 | 62 |
| 7 | 145 | 62 |
| 8 | 151 | 62 |
| 9 | 159 | 62 |
| 10 | 167 | 62 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
| 1× | done |
Compiled 62 to 24 computations (61.3% saved)
(abs x)
Compiled 166 to 84 computations (49.4% saved)
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