
Time bar (total: 3.3s)
| 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)
| 399.0ms | 8 256× | 0 | valid |
ival-mult: 85.0ms (34.9% of total)ival-sub: 81.0ms (33.2% of total)ival-div: 59.0ms (24.2% of total)exact: 8.0ms (3.3% of total)ival-true: 5.0ms (2.1% of total)ival-assert: 3.0ms (1.2% of total)adjust: 2.0ms (0.8% 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 |
| 22.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-div: 4.0ms (36.2% of total)ival-mult: 4.0ms (36.2% of total)ival-sub: 2.0ms (18.1% 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 | 8 | 14 |
| 1 | 26 | 14 |
| 2 | 55 | 14 |
| 3 | 87 | 14 |
| 4 | 132 | 14 |
| 5 | 142 | 14 |
| 6 | 146 | 14 |
| 7 | 149 | 14 |
| 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)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 17 | 18 |
| 2 | 36 | 18 |
| 3 | 65 | 18 |
| 4 | 94 | 18 |
| 5 | 109 | 18 |
| 6 | 117 | 18 |
| 7 | 125 | 18 |
| 8 | 131 | 18 |
| 9 | 135 | 18 |
| 0 | 135 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
| Outputs |
|---|
(/.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) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 11.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-div: 2.0ms (37.3% of total)ival-mult: 2.0ms (37.3% of total)ival-sub: 1.0ms (18.7% 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)| 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) |
| Outputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
-3 |
(- (pow x 2) 3) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (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)) |
| 1.0ms | x | @ | 0 | ((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x)) |
| 0.0ms | x | @ | -inf | ((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 34 |
| 1 | 38 | 34 |
| 2 | 109 | 34 |
| 3 | 458 | 34 |
| 4 | 3811 | 34 |
| 0 | 8399 | 30 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
-3 |
(- (pow x 2) 3) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 37 | 15 |
| 0 | 244 | 15 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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) |
| 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 (-.f64 (*.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 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 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 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 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)))) |
(-.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 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 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 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 444 to 141 computations (68.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 6 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 33 | 6 | 39 |
| Status | Accuracy | Program |
|---|---|---|
| 63.9% | (/.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))) | |
| ▶ | 99.9% | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) |
| ▶ | 99.9% | (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #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))) |
| ▶ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 54.7% | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
Compiled 138 to 112 computations (18.8% saved)
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 6 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) | |
| cost-diff | 2 | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -3 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 116 |
| 0 | 31 | 116 |
| 1 | 50 | 114 |
| 2 | 112 | 114 |
| 3 | 247 | 114 |
| 4 | 432 | 114 |
| 5 | 548 | 114 |
| 6 | 606 | 114 |
| 7 | 635 | 114 |
| 8 | 661 | 114 |
| 9 | 662 | 114 |
| 0 | 662 | 114 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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 x x) |
x |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#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) |
x |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) |
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) |
(fma.f64 x x #s(literal -3 binary64)) |
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 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 x x) |
x |
#s(literal 6 binary64) |
#s(literal 18 binary64) |
#s(literal 36 binary64) |
| Outputs |
|---|
#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) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 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)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/6 binary64) |
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) |
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) |
(fma.f64 x x #s(literal -3 binary64)) |
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 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 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) |
x |
#s(literal 6 binary64) |
#s(literal 18 binary64) |
#s(literal 36 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) | |
| accuracy | 0.05078125 | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64)) | |
| accuracy | 0.139003759768442 | (*.f64 (*.f64 x x) #s(literal 6 binary64)) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal -3 binary64)) | |
| accuracy | 0.0 | #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) | |
| accuracy | 0.05859375 | (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) | |
| accuracy | 34.17748591321744 | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) | |
| accuracy | 29.009671255001763 | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | #s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
| 34.0ms | 256× | 0 | valid |
Compiled 95 to 19 computations (80% saved)
ival-mult: 5.0ms (25% of total)ival-add: 4.0ms (20% of total)ival-sub: 4.0ms (20% of total)ival-div: 3.0ms (15% of total)const: 3.0ms (15% of total)exact: 1.0ms (5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 x x) |
#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 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) |
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) |
(fma.f64 x x #s(literal -3 binary64)) |
(/.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)) |
| Outputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
-3 |
(- (pow x 2) 3) |
-18 |
(- (* 6 (pow x 2)) 18) |
(* 6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6)) |
| 1.0ms | x | @ | inf | ((/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6)) |
| 1.0ms | x | @ | -inf | ((/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 54 |
| 1 | 54 | 54 |
| 2 | 153 | 54 |
| 3 | 632 | 54 |
| 4 | 3673 | 54 |
| 0 | 8140 | 48 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
-3 |
(- (pow x 2) 3) |
-18 |
(- (* 6 (pow x 2)) 18) |
(* 6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
-3 |
#s(literal -3 binary64) |
(- (pow x 2) 3) |
(fma.f64 x x #s(literal -3 binary64)) |
-18 |
#s(literal -18 binary64) |
(- (* 6 (pow x 2)) 18) |
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) |
(* 6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -3 binary64)) |
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 97 |
| 0 | 31 | 97 |
| 1 | 114 | 95 |
| 0 | 750 | 95 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 x x) |
#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 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) |
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) |
(fma.f64 x x #s(literal -3 binary64)) |
(/.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)) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 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 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 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 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 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 (*.f64 #s(literal 1/6 binary64) x) 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 #s(literal 1/6 binary64) (*.f64 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 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 #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))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 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 (*.f64 x x)) #s(literal 1/6 binary64))) |
(-.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 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 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 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.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 #s(literal 1/6 binary64) x) 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 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.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 (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 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))))) #s(literal 6 binary64)) |
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -6 binary64)) |
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal 6 binary64))) |
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64))) |
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) |
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) |
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -3 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 (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)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64)))) |
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 #s(literal -3 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal -3 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 (*.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 #s(literal 1/6 binary64) (*.f64 x x)) #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 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)))) #s(literal 36 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 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 (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 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 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 (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 #s(literal 216 binary64) (pow.f64 x #s(literal 6 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 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -36 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.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 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal 36 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))) |
(neg.f64 (/.f64 (-.f64 (*.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))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #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 #s(literal 216 binary64) (pow.f64 x #s(literal 6 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 #s(literal 216 binary64) (pow.f64 x #s(literal 6 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)))) |
(-.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 #s(literal 216 binary64) (pow.f64 x #s(literal 6 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 #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)) |
Compiled 2 356 to 488 computations (79.3% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 150 | 4 | 154 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 152 | 8 | 160 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) |
| ✓ | 99.9% | (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #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))) |
| ▶ | 99.9% | #s(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))) |
| ✓ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
| ▶ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))) |
| ✓ | 54.7% | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
Compiled 101 to 81 computations (19.8% saved)
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 6 binary64) x) x) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) | |
| cost-diff | 2 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) x) | |
| cost-diff | 0 | (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))) | |
| cost-diff | 2 | (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) x) | |
| cost-diff | 0 | (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))) | |
| cost-diff | 2 | (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 120 |
| 0 | 31 | 126 |
| 1 | 54 | 106 |
| 2 | 96 | 106 |
| 3 | 225 | 106 |
| 4 | 407 | 106 |
| 5 | 527 | 106 |
| 6 | 587 | 106 |
| 7 | 608 | 106 |
| 8 | 628 | 106 |
| 9 | 629 | 106 |
| 0 | 629 | 106 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))) |
(*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))) |
x |
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
#s(literal 36 binary64) |
#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 |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) 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)) |
x |
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
#s(literal 36 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) x) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
x |
#s(literal 18 binary64) |
#s(literal 36 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
x |
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
#s(literal 36 binary64) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
x |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #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 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
x |
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
#s(literal 36 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) x) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 binary64) |
x |
#s(literal 18 binary64) |
#s(literal 36 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 6 binary64) x) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) | |
| accuracy | 0.05078125 | (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 #s(literal 6 binary64) x) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 6 binary64) x) | |
| accuracy | 0.0 | #s(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))) | |
| accuracy | 0.046875 | (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64)) | |
| accuracy | 0.23046875 | (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) | |
| accuracy | 0.39453125 | (*.f64 #s(literal 1/6 binary64) x) | |
| accuracy | 34.17748591321744 | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 6 binary64) x) | |
| accuracy | 0.11328125 | (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))) | |
| accuracy | 0.23046875 | (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) | |
| accuracy | 34.17748591321744 | #s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))) |
| 42.0ms | 256× | 0 | valid |
Compiled 100 to 21 computations (79% saved)
ival-mult: 9.0ms (41% of total)ival-div: 5.0ms (22.8% of total)const: 3.0ms (13.7% of total)ival-sub: 2.0ms (9.1% of total)ival-add: 1.0ms (4.6% of total)exact: 1.0ms (4.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))) |
(*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))) |
(*.f64 #s(literal 6 binary64) x) |
#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(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) 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)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) x) |
| Outputs |
|---|
(* 1/6 x) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* 6 x) |
-18 |
(- (* 6 (pow x 2)) 18) |
(* 6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((/ (* 6 x) 36) (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* x (/ (* 6 x) 36)) -1/2) (/ (- (* (* 6 x) x) 18) 36) (- (* (* 6 x) x) 18) (* (* 6 x) x)) |
| 2.0ms | x | @ | -inf | ((/ (* 6 x) 36) (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* x (/ (* 6 x) 36)) -1/2) (/ (- (* (* 6 x) x) 18) 36) (- (* (* 6 x) x) 18) (* (* 6 x) x)) |
| 1.0ms | x | @ | 0 | ((/ (* 6 x) 36) (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* x (/ (* 6 x) 36)) -1/2) (/ (- (* (* 6 x) x) 18) 36) (- (* (* 6 x) x) 18) (* (* 6 x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 46 |
| 1 | 45 | 46 |
| 2 | 114 | 46 |
| 3 | 433 | 46 |
| 4 | 2875 | 46 |
| 0 | 8467 | 42 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 x) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* 6 x) |
-18 |
(- (* 6 (pow x 2)) 18) |
(* 6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
-18 |
#s(literal -18 binary64) |
(- (* 6 (pow x 2)) 18) |
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)) |
(* 6 (pow x 2)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) x) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 96 |
| 0 | 31 | 102 |
| 1 | 108 | 84 |
| 0 | 649 | 84 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))) |
(*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))) |
(*.f64 #s(literal 6 binary64) x) |
#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(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) 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)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) #s(literal 36 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 binary64)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) x) |
| Outputs |
|---|
(*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 x #s(literal 36 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) x)) #s(literal 36 binary64)) |
(/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal -36 binary64)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 36 binary64)) |
(neg.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 36 binary64))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -36 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.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 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))) |
(*.f64 #s(literal 6 binary64) (*.f64 (/.f64 x #s(literal 36 binary64)) x)) |
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) |
(/.f64 (*.f64 x (*.f64 #s(literal -6 binary64) x)) #s(literal -36 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 x #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) x) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.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 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))) |
(*.f64 #s(literal 6 binary64) (*.f64 (/.f64 x #s(literal 36 binary64)) x)) |
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) |
(/.f64 (*.f64 x (*.f64 #s(literal -6 binary64) x)) #s(literal -36 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 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 x #s(literal 36 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) x)) #s(literal 36 binary64)) |
(/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal -36 binary64)) |
(/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 36 binary64)) |
(neg.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 36 binary64))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -36 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 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 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x 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 #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) 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 #s(literal 6 binary64) (*.f64 (/.f64 x #s(literal 36 binary64)) x) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x)) |
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 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 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #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 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)))) #s(literal 36 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 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 #s(literal 36 binary64) (pow.f64 x #s(literal 4 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 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x 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 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5832 binary64)) (*.f64 (fma.f64 #s(literal 18 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (*.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 36 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -36 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.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 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal 36 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64))) |
(neg.f64 (/.f64 (-.f64 (*.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))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 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 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5832 binary64))) (neg.f64 (fma.f64 #s(literal 18 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (*.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -324 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5832 binary64)) (fma.f64 #s(literal 18 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (*.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 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 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 18 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (*.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 5832 binary64) (fma.f64 #s(literal 18 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (*.f64 #s(literal 36 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) |
(*.f64 (*.f64 #s(literal 6 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal -6 binary64) x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 6 binary64)) |
(*.f64 (*.f64 x #s(literal 6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 6 binary64))) |
(*.f64 #s(literal 6 binary64) (*.f64 x x)) |
Compiled 1 716 to 325 computations (81.1% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 2 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 4 | 4 |
| Total | 107 | 8 | 115 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #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))) |
| ✓ | 99.9% | #s(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))) |
| ▶ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) |
| ✓ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| ▶ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))) |
| ✓ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
| ✓ | 54.7% | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
Compiled 107 to 85 computations (20.6% saved)
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -6 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -6 binary64) x) x) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) | |
| cost-diff | 2 | (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(literal 36 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal 6 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))) | |
| cost-diff | 2 | (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 64 |
| 0 | 23 | 64 |
| 1 | 42 | 64 |
| 2 | 85 | 56 |
| 3 | 165 | 56 |
| 4 | 306 | 56 |
| 5 | 510 | 56 |
| 6 | 539 | 56 |
| 7 | 545 | 56 |
| 8 | 549 | 56 |
| 0 | 549 | 56 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))) |
(*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64))) |
(*.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(/.f64 x #s(literal 36 binary64)) |
#s(literal 36 binary64) |
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) |
(*.f64 (*.f64 #s(literal -6 binary64) x) x) |
(*.f64 #s(literal -6 binary64) x) |
#s(literal -6 binary64) |
x |
#s(literal -36 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) x) |
x |
#s(literal 6 binary64) |
(/.f64 x #s(literal 36 binary64)) |
#s(literal 36 binary64) |
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -6 binary64) x) x) |
(*.f64 #s(literal -6 binary64) x) |
#s(literal -6 binary64) |
x |
#s(literal -36 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal -6 binary64) x) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 #s(literal -6 binary64) x) x) | |
| accuracy | 0.14453125 | (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) | |
| accuracy | 34.17748591321744 | #s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) | |
| accuracy | 0.0 | (/.f64 x #s(literal 36 binary64)) | |
| accuracy | 0.0 | (*.f64 x #s(literal 6 binary64)) | |
| accuracy | 0.17253876953688402 | (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64))) | |
| accuracy | 34.17748591321744 | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))) |
| 42.0ms | 256× | 0 | valid |
Compiled 50 to 17 computations (66% saved)
ival-mult: 20.0ms (71.3% of total)ival-div: 6.0ms (21.4% of total)ival-sub: 1.0ms (3.6% of total)exact: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))) |
(*.f64 x #s(literal 6 binary64)) |
(/.f64 x #s(literal 36 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) |
(*.f64 (*.f64 #s(literal -6 binary64) x) x) |
(*.f64 #s(literal -6 binary64) x) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(* 6 x) |
(* 1/36 x) |
(* -6 (pow x 2)) |
(* -6 x) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (* x 6) (/ x 36)) (/ (- (* x x) 3) 6) (* x 6) (/ x 36) (/ (* (* -6 x) x) -36) (/ (- (* x x) 3) 6) (* (* -6 x) x) (* -6 x)) |
| 1.0ms | x | @ | inf | ((* (* x 6) (/ x 36)) (/ (- (* x x) 3) 6) (* x 6) (/ x 36) (/ (* (* -6 x) x) -36) (/ (- (* x x) 3) 6) (* (* -6 x) x) (* -6 x)) |
| 1.0ms | x | @ | 0 | ((* (* x 6) (/ x 36)) (/ (- (* x x) 3) 6) (* x 6) (/ x 36) (/ (* (* -6 x) x) -36) (/ (- (* x x) 3) 6) (* (* -6 x) x) (* -6 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 34 |
| 1 | 36 | 34 |
| 2 | 83 | 34 |
| 3 | 285 | 34 |
| 4 | 1732 | 34 |
| 0 | 9658 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(* 6 x) |
(* 1/36 x) |
(* -6 (pow x 2)) |
(* -6 x) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 1/36 x) |
(*.f64 #s(literal 1/36 binary64) x) |
(* -6 (pow x 2)) |
(*.f64 (*.f64 #s(literal -6 binary64) x) x) |
(* -6 x) |
(*.f64 #s(literal -6 binary64) x) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 58 |
| 0 | 23 | 58 |
| 1 | 66 | 58 |
| 0 | 323 | 58 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))) |
(*.f64 x #s(literal 6 binary64)) |
(/.f64 x #s(literal 36 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) |
(*.f64 (*.f64 #s(literal -6 binary64) x) x) |
(*.f64 #s(literal -6 binary64) x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 x #s(literal 36 binary64)) x) #s(literal 6 binary64)) |
(*.f64 (/.f64 x #s(literal -36 binary64)) (*.f64 #s(literal -6 binary64) x)) |
(*.f64 (*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64)) x) |
(*.f64 (*.f64 #s(literal -6 binary64) x) (/.f64 x #s(literal -36 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 (*.f64 x x) #s(literal -36 binary64))) |
(*.f64 #s(literal -6 binary64) (*.f64 x (/.f64 x #s(literal -36 binary64)))) |
(*.f64 (/.f64 x #s(literal 36 binary64)) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 x #s(literal 36 binary64))) |
(*.f64 #s(literal 6 binary64) (*.f64 x (/.f64 x #s(literal 36 binary64)))) |
(*.f64 x (/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal -36 binary64))) |
(*.f64 x (*.f64 #s(literal -6 binary64) (/.f64 x #s(literal -36 binary64)))) |
(*.f64 x (*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 6 binary64) x)) #s(literal -36 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (neg.f64 x)) #s(literal -36 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 36 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal -36 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal 36 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 (/.f64 x #s(literal 36 binary64)) x) #s(literal 6 binary64))) |
(*.f64 #s(literal 6 binary64) x) |
(*.f64 x #s(literal 6 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 36 binary64)) |
(/.f64 (neg.f64 x) #s(literal -36 binary64)) |
(/.f64 x #s(literal 36 binary64)) |
(neg.f64 (/.f64 x #s(literal -36 binary64))) |
(*.f64 (*.f64 (/.f64 x #s(literal 36 binary64)) x) #s(literal 6 binary64)) |
(*.f64 (/.f64 x #s(literal -36 binary64)) (*.f64 #s(literal -6 binary64) x)) |
(*.f64 (*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64)) x) |
(*.f64 (*.f64 #s(literal -6 binary64) x) (/.f64 x #s(literal -36 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 (*.f64 x x) #s(literal -36 binary64))) |
(*.f64 #s(literal -6 binary64) (*.f64 x (/.f64 x #s(literal -36 binary64)))) |
(*.f64 (/.f64 x #s(literal 36 binary64)) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 x #s(literal 36 binary64))) |
(*.f64 #s(literal 6 binary64) (*.f64 x (/.f64 x #s(literal 36 binary64)))) |
(*.f64 x (/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal -36 binary64))) |
(*.f64 x (*.f64 #s(literal -6 binary64) (/.f64 x #s(literal -36 binary64)))) |
(*.f64 x (*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 6 binary64) x)) #s(literal -36 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (neg.f64 x)) #s(literal -36 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 36 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64)) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal -36 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal 36 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 (/.f64 x #s(literal 36 binary64)) x) #s(literal 6 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 #s(literal -6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -6 binary64)) |
(*.f64 x (*.f64 #s(literal -6 binary64) x)) |
(neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x)) |
(*.f64 #s(literal -6 binary64) x) |
(*.f64 x #s(literal -6 binary64)) |
(neg.f64 (*.f64 #s(literal 6 binary64) x)) |
Compiled 661 to 137 computations (79.3% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 1 | 42 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 6 | 6 |
| Total | 42 | 8 | 50 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #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))) |
| ✓ | 99.9% | #s(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))) |
| ✓ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) |
| ✓ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
| 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(approx (/ x 36) (*.f64 #s(literal 1/36 binary64) x)))) | |
| ✓ | 46.5% | #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
| ✓ | 54.7% | #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) |
Compiled 289 to 151 computations (47.8% 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))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(approx (/ x 36) (*.f64 #s(literal 1/36 binary64) x)))) |
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))) |
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))) |
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))) |
#s(approx (/ (- (* x x) 3) 6) (fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 18 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))) |
| Outputs |
|---|
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) |
4 calls:
| 6.0ms | x |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 3.0ms | (-.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))) |
| Outputs |
|---|
#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))) |
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 |
|---|---|---|
| 99.4% | 2 | (*.f64 x x) |
| 99.4% | 2 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.4% | 2 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.4% | 2 | 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)) |
| 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 | (*.f64 x x) |
| 1.0ms | x |
| 1.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 1.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 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 |
|---|---|---|
| 54.7% | 1 | (*.f64 x x) |
| 54.7% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 54.7% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 54.7% | 1 | x |
Compiled 16 to 13 computations (18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.3186427852705794e-10 | 117.53530214980604 |
| 6.0ms | 160× | 0 | valid |
Compiled 230 to 210 computations (8.7% saved)
ival-sub: 1.0ms (30% of total)ival-div: 1.0ms (30% of total)ival-mult: 1.0ms (30% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.3186427852705794e-10 | 117.53530214980604 |
Compiled 230 to 210 computations (8.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 75 |
| 1 | 28 | 75 |
| 2 | 47 | 75 |
| 3 | 76 | 75 |
| 4 | 104 | 75 |
| 5 | 121 | 75 |
| 6 | 132 | 75 |
| 7 | 136 | 75 |
| 8 | 143 | 75 |
| 9 | 151 | 75 |
| 10 | 159 | 75 |
| 1× | saturated |
| Inputs |
|---|
#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 x x) #s(literal 1/6 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 |
|---|
#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 x x) #s(literal 1/6 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× | fuel |
Compiled 75 to 21 computations (72% saved)
(abs x)
Compiled 192 to 76 computations (60.4% saved)
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