
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 8 computations (0% saved)
| 465.0ms | 8 256× | 0 | valid |
ival-mult: 72.0ms (33.7% of total)ival-div: 71.0ms (33.2% of total)ival-cbrt: 55.0ms (25.7% of total)ival-true: 5.0ms (2.3% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)adjust: 2.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 0 | - | 3 | (-4.2463785234247705e-200 5.266068468812198e+117) | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
| 0 | 0 | - | 0 | - | (/.f64 g (*.f64 #s(literal 2 binary64) a)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | g |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cbrt.f64 | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) | oflow-rescue | 32 | 0 |
| ↳ | (/.f64 g (*.f64 #s(literal 2 binary64) a)) | overflow | 32 | |
cbrt.f64 | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) | uflow-rescue | 27 | 0 |
| ↳ | (/.f64 g (*.f64 #s(literal 2 binary64) a)) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 59 | 3 |
| - | 0 | 194 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 59 | 0 | 3 |
| - | 0 | 0 | 194 |
| number | freq |
|---|---|
| 0 | 197 |
| 1 | 59 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 44 to 22 computations (50% saved)
ival-cbrt: 7.0ms (43.1% of total)ival-div: 4.0ms (24.7% of total)ival-mult: 4.0ms (24.7% 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)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 36 |
| 1 | 33 | 32 |
| 2 | 63 | 32 |
| 3 | 116 | 32 |
| 4 | 289 | 32 |
| 5 | 1431 | 32 |
| 6 | 6229 | 32 |
| 0 | 6 | 6 |
| 0 | 9 | 6 |
| 1 | 15 | 6 |
| 2 | 24 | 6 |
| 3 | 44 | 6 |
| 4 | 89 | 6 |
| 5 | 314 | 6 |
| 6 | 2015 | 6 |
| 0 | 8189 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) |
Compiled 6 to 6 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.9% | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
Compiled 6 to 6 computations (0% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) a) | |
| cost-diff | 0 | (/.f64 g (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 9 | 17 |
| 1 | 15 | 17 |
| 2 | 24 | 17 |
| 3 | 44 | 17 |
| 4 | 89 | 17 |
| 5 | 314 | 17 |
| 6 | 2015 | 17 |
| 0 | 8189 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
g |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
| Outputs |
|---|
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
(/.f64 g (*.f64 a #s(literal 2 binary64))) |
g |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
a |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 g (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) a) | |
| accuracy | 14.815258482814633 | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
| 16.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-div: 2.0ms (34.6% of total)ival-mult: 2.0ms (34.6% of total)ival-cbrt: 1.0ms (17.3% 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 |
|---|
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
(* (cbrt (/ g a)) (cbrt 1/2)) |
(* 1/2 (/ g a)) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(* 2 a) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | g | @ | -inf | ((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a)) |
| 4.0ms | g | @ | 0 | ((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a)) |
| 4.0ms | g | @ | inf | ((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a)) |
| 4.0ms | a | @ | inf | ((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a)) |
| 3.0ms | a | @ | 0 | ((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 31 |
| 1 | 35 | 31 |
| 2 | 61 | 31 |
| 3 | 81 | 31 |
| 4 | 143 | 31 |
| 5 | 468 | 31 |
| 6 | 3305 | 31 |
| 0 | 8381 | 31 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (cbrt (/ g a)) (cbrt 1/2)) |
(* 1/2 (/ g a)) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(* 2 a) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
| Outputs |
|---|
(* (cbrt (/ g a)) (cbrt 1/2)) |
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))) |
(* 1/2 (/ g a)) |
(*.f64 g (/.f64 #s(literal 1/2 binary64) a)) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 0 | 9 | 14 |
| 1 | 23 | 14 |
| 0 | 87 | 14 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/6 binary64))) |
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) |
(/.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
(cbrt.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 g a) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 g #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 g)) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (/.f64 g #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 g) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 g (*.f64 a #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 g) (*.f64 a #s(literal 2 binary64)))) |
(neg.f64 (/.f64 g (*.f64 #s(literal -2 binary64) a))) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 1 binary64) a)) |
(fma.f64 a #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a)) |
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64))) |
(+.f64 a a) |
Compiled 267 to 106 computations (60.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 8 | 29 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 22 | 8 | 30 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.3% | (pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
| 98.7% | (/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) | |
| ▶ | 98.7% | (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
| ▶ | 34.5% | (exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
| ▶ | 33.5% | (cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
| ▶ | 76.9% | (cbrt.f64 (/.f64 g (+.f64 a a))) |
| 76.9% | (cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) | |
| 76.8% | #s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))) |
Compiled 166 to 136 computations (18.1% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) | |
| cost-diff | 2 | (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) | |
| cost-diff | 6 | (-.f64 (*.f64 a a) (*.f64 a a)) | |
| cost-diff | 6 | (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) | |
| cost-diff | 0 | (/.f64 g (*.f64 a #s(literal 2 binary64))) | |
| cost-diff | 0 | (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64)) | |
| cost-diff | 3 | (exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 a #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 g (*.f64 a #s(literal 2 binary64))) | |
| cost-diff | Infinite | (pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (+.f64 a a) | |
| cost-diff | 0 | (/.f64 g (+.f64 a a)) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 g (+.f64 a a))) | |
| cost-diff | 0 | (*.f64 a #s(literal 2 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (*.f64 a #s(literal 2 binary64))) | |
| cost-diff | 0 | (cbrt.f64 g) | |
| cost-diff | 0 | (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 181 |
| 0 | 45 | 117 |
| 1 | 79 | 117 |
| 2 | 228 | 117 |
| 3 | 1668 | 117 |
| 0 | 8544 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
(cbrt.f64 g) |
g |
(cbrt.f64 (*.f64 a #s(literal 2 binary64))) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
(cbrt.f64 (/.f64 g (+.f64 a a))) |
(/.f64 g (+.f64 a a)) |
g |
(+.f64 a a) |
a |
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 g (*.f64 a #s(literal 2 binary64))) |
g |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64)) |
(log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) |
(/.f64 g (*.f64 a #s(literal 2 binary64))) |
g |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
g |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(pow.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
| Outputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 g) |
g |
(cbrt.f64 (*.f64 a #s(literal 2 binary64))) |
(cbrt.f64 (*.f64 #s(literal 2 binary64) a)) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 2 binary64) |
(cbrt.f64 (/.f64 g (+.f64 a a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (+.f64 a a)) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
g |
(+.f64 a a) |
(*.f64 #s(literal 2 binary64) a) |
a |
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (*.f64 a #s(literal 2 binary64))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
g |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)) |
(log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) |
(log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (*.f64 a #s(literal 2 binary64))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
g |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 2 binary64) |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
g |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 #s(literal 2 binary64) a) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 a a) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
#s(literal 0 binary64) |
(*.f64 a a) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 a a) | |
| accuracy | 6.644494097211979 | (-.f64 (*.f64 a a) (*.f64 a a)) | |
| accuracy | 8.210441165657786 | (cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) | |
| accuracy | 21.399651858460476 | (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) | |
| accuracy | 0.0 | (*.f64 a #s(literal 2 binary64)) | |
| accuracy | 0.23828125 | (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64)) | |
| accuracy | 2.1569837556579667 | (exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) | |
| accuracy | 8.061527123347878 | (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (/.f64 g (*.f64 a #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 a #s(literal 2 binary64)) | |
| accuracy | 9.715214978806404 | (pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (/.f64 g (+.f64 a a)) | |
| accuracy | 0.0 | (+.f64 a a) | |
| accuracy | 8.210441165657786 | (cbrt.f64 (/.f64 g (+.f64 a a))) | |
| accuracy | 0.0 | (*.f64 a #s(literal 2 binary64)) | |
| accuracy | 0.14453125 | (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) | |
| accuracy | 0.25884633791597816 | (cbrt.f64 g) | |
| accuracy | 0.3015213867581883 | (cbrt.f64 (*.f64 a #s(literal 2 binary64))) |
| 74.0ms | 130× | 0 | invalid |
| 57.0ms | 88× | 1 | valid |
| 19.0ms | 38× | 0 | valid |
Compiled 187 to 27 computations (85.6% saved)
ival-div: 25.0ms (24.8% of total)ival-mult: 23.0ms (22.8% of total)ival-cbrt: 14.0ms (13.9% of total)ival-log: 12.0ms (11.9% of total)const: 7.0ms (6.9% of total)adjust: 6.0ms (5.9% of total)ival-pow: 4.0ms (4% of total)ival-add: 4.0ms (4% of total)ival-exp: 3.0ms (3% of total)ival-sub: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
(cbrt.f64 g) |
(cbrt.f64 (*.f64 a #s(literal 2 binary64))) |
(*.f64 a #s(literal 2 binary64)) |
(cbrt.f64 (/.f64 g (+.f64 a a))) |
(/.f64 g (+.f64 a a)) |
(+.f64 a a) |
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 g (*.f64 a #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64)) |
(log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(*.f64 a a) |
| Outputs |
|---|
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(cbrt g) |
(* (cbrt (/ g a)) (cbrt 1/2)) |
(* 1/2 (/ g a)) |
(* 1/3 (+ (log g) (log (/ 1/2 a)))) |
(+ (log g) (log (/ 1/2 a))) |
(* 1/3 (+ (log (/ 1/2 a)) (* -1 (log (/ 1 g))))) |
(+ (log (/ 1/2 a)) (* -1 (log (/ 1 g)))) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(* -1 (* (cbrt g) (cbrt -1))) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(* 1/3 (+ (log (/ -1/2 a)) (* -1 (log (/ -1 g))))) |
(+ (log (/ -1/2 a)) (* -1 (log (/ -1 g)))) |
(* (cbrt a) (cbrt 2)) |
(* 2 a) |
(* 1/3 (+ (log (* 1/2 g)) (* -1 (log a)))) |
(+ (log (* 1/2 g)) (* -1 (log a))) |
0 |
(* 2 (pow a 3)) |
(pow a 2) |
(* 1/3 (+ (log (* 1/2 g)) (log (/ 1 a)))) |
(+ (log (* 1/2 g)) (log (/ 1 a))) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(* -1 (* (cbrt a) (cbrt -2))) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(* 1/3 (+ (log (* -1/2 g)) (log (/ -1 a)))) |
(+ (log (* -1/2 g)) (log (/ -1 a))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 85.0ms | g | @ | 0 | ((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (exp (* (log (/ g (* a 2))) 1/3)) (* (log (/ g (* a 2))) 1/3) (log (/ g (* a 2))) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (* a a)) |
| 62.0ms | a | @ | -inf | ((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (exp (* (log (/ g (* a 2))) 1/3)) (* (log (/ g (* a 2))) 1/3) (log (/ g (* a 2))) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (* a a)) |
| 39.0ms | g | @ | -inf | ((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (exp (* (log (/ g (* a 2))) 1/3)) (* (log (/ g (* a 2))) 1/3) (log (/ g (* a 2))) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (* a a)) |
| 29.0ms | a | @ | 0 | ((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (exp (* (log (/ g (* a 2))) 1/3)) (* (log (/ g (* a 2))) 1/3) (log (/ g (* a 2))) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (* a a)) |
| 19.0ms | g | @ | inf | ((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (exp (* (log (/ g (* a 2))) 1/3)) (* (log (/ g (* a 2))) 1/3) (log (/ g (* a 2))) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (* a a)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 193 |
| 1 | 176 | 183 |
| 2 | 381 | 183 |
| 3 | 840 | 183 |
| 4 | 3092 | 181 |
| 0 | 8213 | 181 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(cbrt g) |
(* (cbrt (/ g a)) (cbrt 1/2)) |
(* 1/2 (/ g a)) |
(* 1/3 (+ (log g) (log (/ 1/2 a)))) |
(+ (log g) (log (/ 1/2 a))) |
(* 1/3 (+ (log (/ 1/2 a)) (* -1 (log (/ 1 g))))) |
(+ (log (/ 1/2 a)) (* -1 (log (/ 1 g)))) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(* -1 (* (cbrt g) (cbrt -1))) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(* 1/3 (+ (log (/ -1/2 a)) (* -1 (log (/ -1 g))))) |
(+ (log (/ -1/2 a)) (* -1 (log (/ -1 g)))) |
(* (cbrt a) (cbrt 2)) |
(* 2 a) |
(* 1/3 (+ (log (* 1/2 g)) (* -1 (log a)))) |
(+ (log (* 1/2 g)) (* -1 (log a))) |
0 |
(* 2 (pow a 3)) |
(pow a 2) |
(* 1/3 (+ (log (* 1/2 g)) (log (/ 1 a)))) |
(+ (log (* 1/2 g)) (log (/ 1 a))) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(* -1 (* (cbrt a) (cbrt -2))) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(* 1/3 (+ (log (* -1/2 g)) (log (/ -1 a)))) |
(+ (log (* -1/2 g)) (log (/ -1 a))) |
| Outputs |
|---|
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt g) |
(cbrt.f64 g) |
(* (cbrt (/ g a)) (cbrt 1/2)) |
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))) |
(* 1/2 (/ g a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 g a)) |
(* 1/3 (+ (log g) (log (/ 1/2 a)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) a)) (log.f64 g)) #s(literal 1/3 binary64)) |
(+ (log g) (log (/ 1/2 a))) |
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) a)) (log.f64 g)) |
(* 1/3 (+ (log (/ 1/2 a)) (* -1 (log (/ 1 g))))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) a)) (log.f64 g)) #s(literal 1/3 binary64)) |
(+ (log (/ 1/2 a)) (* -1 (log (/ 1 g)))) |
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) a)) (log.f64 g)) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(* -1 (* (cbrt g) (cbrt -1))) |
(cbrt.f64 g) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* 1/3 (+ (log (/ -1/2 a)) (* -1 (log (/ -1 g))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) g)) (log.f64 (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (log (/ -1/2 a)) (* -1 (log (/ -1 g)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) g))) |
(* (cbrt a) (cbrt 2)) |
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
(* 1/3 (+ (log (* 1/2 g)) (* -1 (log a)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (log.f64 a) (log.f64 (*.f64 #s(literal 1/2 binary64) g)))) |
(+ (log (* 1/2 g)) (* -1 (log a))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) g)) (log.f64 a)) |
0 |
#s(literal 0 binary64) |
(* 2 (pow a 3)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* 1/3 (+ (log (* 1/2 g)) (log (/ 1 a)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (log.f64 a) (log.f64 (*.f64 #s(literal 1/2 binary64) g)))) |
(+ (log (* 1/2 g)) (log (/ 1 a))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) g)) (log.f64 a)) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (neg.f64 (cbrt.f64 #s(literal -2 binary64)))) |
(* -1 (* (cbrt a) (cbrt -2))) |
(neg.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (cbrt.f64 a))) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* 1/3 (+ (log (* -1/2 g)) (log (/ -1 a)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) (log.f64 (*.f64 #s(literal -1/2 binary64) g))) #s(literal 1/3 binary64)) |
(+ (log (* -1/2 g)) (log (/ -1 a))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) (log.f64 (*.f64 #s(literal -1/2 binary64) g))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 131 |
| 0 | 45 | 82 |
| 0 | 151 | 82 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
(cbrt.f64 g) |
(cbrt.f64 (*.f64 a #s(literal 2 binary64))) |
(*.f64 a #s(literal 2 binary64)) |
(cbrt.f64 (/.f64 g (+.f64 a a))) |
(/.f64 g (+.f64 a a)) |
(+.f64 a a) |
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(/.f64 g (*.f64 a #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
(*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64)) |
(log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(*.f64 a a) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))) |
(pow.f64 g #s(literal 1/3 binary64)) |
(cbrt.f64 g) |
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) (-.f64 a a)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) |
(+.f64 a a) |
(*.f64 (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 g (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 (/.f64 g a) #s(literal 2 binary64)) |
(/.f64 (neg.f64 g) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) (-.f64 a a)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) |
(+.f64 a a) |
(*.f64 (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 g (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 (/.f64 g a) #s(literal 2 binary64)) |
(/.f64 (neg.f64 g) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))) |
(*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) |
(-.f64 (log.f64 g) (log.f64 (*.f64 #s(literal 2 binary64) a))) |
(log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) (-.f64 a a)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) |
(+.f64 a a) |
#s(literal 0 binary64) |
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (*.f64 a a) a (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a (*.f64 a a) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 0 binary64)) (-.f64 (*.f64 a a) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) #s(literal 0 binary64))))) |
(fma.f64 (neg.f64 a) (neg.f64 a) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 a) (fabs.f64 a) #s(literal 0 binary64)) |
(fma.f64 a a #s(literal 0 binary64)) |
(-.f64 (fma.f64 a a (*.f64 a a)) (*.f64 a a)) |
(+.f64 #s(literal 0 binary64) (*.f64 a a)) |
(+.f64 (*.f64 a a) #s(literal 0 binary64)) |
(*.f64 (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 a a) |
(pow.f64 a #s(literal 2 binary64)) |
Compiled 1 385 to 337 computations (75.7% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 8 | 89 |
| Fresh | 1 | 2 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 86 | 11 | 97 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.3% | (pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
| ▶ | 98.7% | (/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) |
| 98.2% | (/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 98.7% | (/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
| ▶ | 34.5% | (exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) |
| ▶ | 33.5% | (cbrt.f64 (/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
| 33.5% | (cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) | |
| ✓ | 76.9% | (cbrt.f64 (/.f64 g (+.f64 a a))) |
| 76.9% | (cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) | |
| 76.2% | #s(approx (/ (cbrt g) (cbrt (* a 2))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) | |
| 76.8% | #s(approx (cbrt (/ g (+ a a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))) |
Compiled 246 to 193 computations (21.5% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 a) | |
| cost-diff | 0 | (/.f64 g #s(literal 2 binary64)) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 g #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) | |
| cost-diff | 0 | (/.f64 g (+.f64 a a)) | |
| cost-diff | 0 | (log.f64 (/.f64 g (+.f64 a a))) | |
| cost-diff | 0 | (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64)) | |
| cost-diff | 3 | (exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) | |
| cost-diff | 1 | (fma.f64 a a #s(literal 0 binary64)) | |
| cost-diff | 2 | (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 6 | (-.f64 (*.f64 a a) (*.f64 a a)) | |
| cost-diff | 6 | (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) | |
| cost-diff | 0 | (+.f64 a a) | |
| cost-diff | 0 | (/.f64 g (+.f64 a a)) | |
| cost-diff | Infinite | (pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (+.f64 a a) | |
| cost-diff | 0 | (cbrt.f64 (+.f64 a a)) | |
| cost-diff | 0 | (cbrt.f64 g) | |
| cost-diff | 0 | (/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 190 |
| 0 | 49 | 123 |
| 1 | 88 | 123 |
| 2 | 325 | 121 |
| 3 | 3062 | 121 |
| 0 | 8067 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
(cbrt.f64 g) |
g |
(cbrt.f64 (+.f64 a a)) |
(+.f64 a a) |
a |
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
(/.f64 g (+.f64 a a)) |
g |
(+.f64 a a) |
a |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
g |
(/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 a a #s(literal 0 binary64)) |
a |
#s(literal 0 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) |
(*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64)) |
(log.f64 (/.f64 g (+.f64 a a))) |
(/.f64 g (+.f64 a a)) |
g |
(+.f64 a a) |
a |
#s(literal 1/3 binary64) |
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 g #s(literal 2 binary64))) |
(/.f64 g #s(literal 2 binary64)) |
g |
#s(literal 2 binary64) |
(cbrt.f64 a) |
a |
| Outputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 g) |
g |
(cbrt.f64 (+.f64 a a)) |
(cbrt.f64 (*.f64 #s(literal 2 binary64) a)) |
(+.f64 a a) |
(*.f64 #s(literal 2 binary64) a) |
a |
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (+.f64 a a)) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
g |
(+.f64 a a) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 1/3 binary64) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
g |
(/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) |
(fma.f64 a a #s(literal 0 binary64)) |
(*.f64 a a) |
a |
#s(literal 0 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 a a) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
#s(literal 0 binary64) |
(*.f64 a a) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64)) |
(*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)) |
(log.f64 (/.f64 g (+.f64 a a))) |
(log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (+.f64 a a)) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
g |
(+.f64 a a) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(literal 1/3 binary64) |
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 g #s(literal 2 binary64))) |
(/.f64 g #s(literal 2 binary64)) |
g |
#s(literal 2 binary64) |
(cbrt.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 g #s(literal 2 binary64)) | |
| accuracy | 0.171875 | (/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) | |
| accuracy | 0.2526550781475361 | (cbrt.f64 a) | |
| accuracy | 0.3151550781475362 | (cbrt.f64 (/.f64 g #s(literal 2 binary64))) | |
| accuracy | 0.0 | (+.f64 a a) | |
| accuracy | 0.23828125 | (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64)) | |
| accuracy | 2.1569837556579667 | (exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) | |
| accuracy | 8.061527123347878 | (log.f64 (/.f64 g (+.f64 a a))) | |
| accuracy | 0.0234375 | (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 6.644494097211979 | (-.f64 (*.f64 a a) (*.f64 a a)) | |
| accuracy | 8.210441165657786 | (cbrt.f64 (/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) | |
| accuracy | 21.399651858460476 | (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) | |
| accuracy | 0.0 | (/.f64 g (+.f64 a a)) | |
| accuracy | 0.0 | (+.f64 a a) | |
| accuracy | 9.715214978806404 | (pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) | |
| accuracy | 0.0 | (+.f64 a a) | |
| accuracy | 0.14453125 | (/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) | |
| accuracy | 0.25884633791597816 | (cbrt.f64 g) | |
| accuracy | 0.3015213867581883 | (cbrt.f64 (+.f64 a a)) |
| 186.0ms | 88× | 1 | valid |
| 82.0ms | 130× | 0 | invalid |
| 41.0ms | 38× | 0 | valid |
Compiled 201 to 29 computations (85.6% saved)
ival-mult: 107.0ms (44.5% of total)ival-div: 44.0ms (18.3% of total)const: 32.0ms (13.3% of total)adjust: 29.0ms (12.1% of total)ival-cbrt: 12.0ms (5% of total)ival-add: 5.0ms (2.1% of total)ival-exp: 3.0ms (1.2% of total)ival-log: 3.0ms (1.2% of total)ival-sub: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
(cbrt.f64 g) |
(cbrt.f64 (+.f64 a a)) |
(+.f64 a a) |
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
(/.f64 g (+.f64 a a)) |
(/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 a a #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) |
(*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64)) |
(log.f64 (/.f64 g (+.f64 a a))) |
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 g #s(literal 2 binary64))) |
(/.f64 g #s(literal 2 binary64)) |
(cbrt.f64 a) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
| Outputs |
|---|
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(cbrt g) |
(* (cbrt (/ g a)) (cbrt 1/2)) |
(* 1/2 (/ g a)) |
(* 1/3 (+ (log g) (log (/ 1/2 a)))) |
(+ (log g) (log (/ 1/2 a))) |
(* (cbrt g) (cbrt 1/2)) |
(* 1/2 g) |
(* 1/3 (+ (log (/ 1/2 a)) (* -1 (log (/ 1 g))))) |
(+ (log (/ 1/2 a)) (* -1 (log (/ 1 g)))) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(* -1 (* (cbrt g) (cbrt -1))) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(* 1/3 (+ (log (/ -1/2 a)) (* -1 (log (/ -1 g))))) |
(+ (log (/ -1/2 a)) (* -1 (log (/ -1 g)))) |
(* -1 (* (cbrt g) (cbrt -1/2))) |
(* (cbrt a) (cbrt 2)) |
(* 2 a) |
0 |
(* 2 (pow a 3)) |
(pow a 2) |
(* 1/3 (+ (log (* 1/2 g)) (* -1 (log a)))) |
(+ (log (* 1/2 g)) (* -1 (log a))) |
(cbrt a) |
(* 1/3 (+ (log (* 1/2 g)) (log (/ 1 a)))) |
(+ (log (* 1/2 g)) (log (/ 1 a))) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(* -1 (* (cbrt a) (cbrt -2))) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(* 1/3 (+ (log (* -1/2 g)) (log (/ -1 a)))) |
(+ (log (* -1/2 g)) (log (/ -1 a))) |
(* -1 (* (cbrt a) (cbrt -1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 78.0ms | g | @ | -inf | ((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (* (+ (* a a) 0) (* 2 a)) (+ (* a a) 0) (exp (* (log (/ g (+ a a))) 1/3)) (* (log (/ g (+ a a))) 1/3) (log (/ g (+ a a))) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (cbrt (/ g (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a))))))) |
| 51.0ms | a | @ | 0 | ((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (* (+ (* a a) 0) (* 2 a)) (+ (* a a) 0) (exp (* (log (/ g (+ a a))) 1/3)) (* (log (/ g (+ a a))) 1/3) (log (/ g (+ a a))) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (cbrt (/ g (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a))))))) |
| 51.0ms | g | @ | inf | ((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (* (+ (* a a) 0) (* 2 a)) (+ (* a a) 0) (exp (* (log (/ g (+ a a))) 1/3)) (* (log (/ g (+ a a))) 1/3) (log (/ g (+ a a))) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (cbrt (/ g (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a))))))) |
| 20.0ms | a | @ | -inf | ((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (* (+ (* a a) 0) (* 2 a)) (+ (* a a) 0) (exp (* (log (/ g (+ a a))) 1/3)) (* (log (/ g (+ a a))) 1/3) (log (/ g (+ a a))) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (cbrt (/ g (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a))))))) |
| 19.0ms | a | @ | inf | ((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (* (+ (* a a) 0) (* 2 a)) (+ (* a a) 0) (exp (* (log (/ g (+ a a))) 1/3)) (* (log (/ g (+ a a))) 1/3) (log (/ g (+ a a))) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (cbrt (/ g (/ (* (+ (* a a) 0) (* 2 a)) (+ (* a a) (- (* a a) (* a a))))))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 211 |
| 1 | 190 | 201 |
| 2 | 405 | 201 |
| 3 | 872 | 201 |
| 4 | 2946 | 199 |
| 0 | 8209 | 199 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(cbrt g) |
(* (cbrt (/ g a)) (cbrt 1/2)) |
(* 1/2 (/ g a)) |
(* 1/3 (+ (log g) (log (/ 1/2 a)))) |
(+ (log g) (log (/ 1/2 a))) |
(* (cbrt g) (cbrt 1/2)) |
(* 1/2 g) |
(* 1/3 (+ (log (/ 1/2 a)) (* -1 (log (/ 1 g))))) |
(+ (log (/ 1/2 a)) (* -1 (log (/ 1 g)))) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(* -1 (* (cbrt g) (cbrt -1))) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(* 1/3 (+ (log (/ -1/2 a)) (* -1 (log (/ -1 g))))) |
(+ (log (/ -1/2 a)) (* -1 (log (/ -1 g)))) |
(* -1 (* (cbrt g) (cbrt -1/2))) |
(* (cbrt a) (cbrt 2)) |
(* 2 a) |
0 |
(* 2 (pow a 3)) |
(pow a 2) |
(* 1/3 (+ (log (* 1/2 g)) (* -1 (log a)))) |
(+ (log (* 1/2 g)) (* -1 (log a))) |
(cbrt a) |
(* 1/3 (+ (log (* 1/2 g)) (log (/ 1 a)))) |
(+ (log (* 1/2 g)) (log (/ 1 a))) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(* -1 (* (cbrt a) (cbrt -2))) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(* 1/3 (+ (log (* -1/2 g)) (log (/ -1 a)))) |
(+ (log (* -1/2 g)) (log (/ -1 a))) |
(* -1 (* (cbrt a) (cbrt -1))) |
| Outputs |
|---|
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt g) |
(cbrt.f64 g) |
(* (cbrt (/ g a)) (cbrt 1/2)) |
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))) |
(* 1/2 (/ g a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 g a)) |
(* 1/3 (+ (log g) (log (/ 1/2 a)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) a)) (log.f64 g)) #s(literal 1/3 binary64)) |
(+ (log g) (log (/ 1/2 a))) |
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) a)) (log.f64 g)) |
(* (cbrt g) (cbrt 1/2)) |
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g)) |
(* 1/2 g) |
(*.f64 #s(literal 1/2 binary64) g) |
(* 1/3 (+ (log (/ 1/2 a)) (* -1 (log (/ 1 g))))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) a)) (log.f64 g)) #s(literal 1/3 binary64)) |
(+ (log (/ 1/2 a)) (* -1 (log (/ 1 g)))) |
(+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) a)) (log.f64 g)) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(* -1 (* (cbrt g) (cbrt -1))) |
(cbrt.f64 g) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* 1/3 (+ (log (/ -1/2 a)) (* -1 (log (/ -1 g))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) g)) (log.f64 (/.f64 #s(literal -1/2 binary64) a)))) |
(+ (log (/ -1/2 a)) (* -1 (log (/ -1 g)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) g))) |
(* -1 (* (cbrt g) (cbrt -1/2))) |
(*.f64 (cbrt.f64 #s(literal -1/2 binary64)) (neg.f64 (cbrt.f64 g))) |
(* (cbrt a) (cbrt 2)) |
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))) |
(* 2 a) |
(*.f64 #s(literal 2 binary64) a) |
0 |
#s(literal 0 binary64) |
(* 2 (pow a 3)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow a 2) |
(*.f64 a a) |
(* 1/3 (+ (log (* 1/2 g)) (* -1 (log a)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (log.f64 a) (log.f64 (*.f64 #s(literal 1/2 binary64) g)))) |
(+ (log (* 1/2 g)) (* -1 (log a))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) g)) (log.f64 a)) |
(cbrt a) |
(cbrt.f64 a) |
(* 1/3 (+ (log (* 1/2 g)) (log (/ 1 a)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (log.f64 a) (log.f64 (*.f64 #s(literal 1/2 binary64) g)))) |
(+ (log (* 1/2 g)) (log (/ 1 a))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) g)) (log.f64 a)) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (neg.f64 (cbrt.f64 #s(literal -2 binary64)))) |
(* -1 (* (cbrt a) (cbrt -2))) |
(neg.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (cbrt.f64 a))) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* 1/3 (+ (log (* -1/2 g)) (log (/ -1 a)))) |
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) (log.f64 (*.f64 #s(literal -1/2 binary64) g))) #s(literal 1/3 binary64)) |
(+ (log (* -1/2 g)) (log (/ -1 a))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)) (log.f64 (*.f64 #s(literal -1/2 binary64) g))) |
(* -1 (* (cbrt a) (cbrt -1))) |
(cbrt.f64 a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 127 |
| 0 | 49 | 97 |
| 0 | 161 | 97 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
(cbrt.f64 g) |
(cbrt.f64 (+.f64 a a)) |
(+.f64 a a) |
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
(/.f64 g (+.f64 a a)) |
(/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 a a #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) |
(*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64)) |
(log.f64 (/.f64 g (+.f64 a a))) |
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 g #s(literal 2 binary64))) |
(/.f64 g #s(literal 2 binary64)) |
(cbrt.f64 a) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))) |
(pow.f64 g #s(literal 1/3 binary64)) |
(cbrt.f64 g) |
(pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 a a)) |
(/.f64 #s(literal 0 binary64) (-.f64 a a)) |
(+.f64 a a) |
(*.f64 (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 g) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 g (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a)) (neg.f64 (*.f64 a a))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a a)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 a a) |
(pow.f64 a #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 0 binary64)) (-.f64 (*.f64 a a) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) #s(literal 0 binary64))))) |
(fma.f64 (neg.f64 a) (neg.f64 a) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 a) (fabs.f64 a) #s(literal 0 binary64)) |
(fma.f64 a a #s(literal 0 binary64)) |
(-.f64 (fma.f64 a a (*.f64 a a)) (*.f64 a a)) |
(+.f64 (*.f64 a a) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 a a)) |
(*.f64 (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))) |
(*.f64 (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))) |
(-.f64 (log.f64 g) (log.f64 (*.f64 #s(literal 2 binary64) a))) |
(log.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (neg.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 a))) |
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 (/.f64 g #s(literal 2 binary64)) a)) |
(pow.f64 (/.f64 g #s(literal 2 binary64)) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 g #s(literal 2 binary64))) |
(/.f64 (neg.f64 g) #s(literal -2 binary64)) |
(/.f64 g #s(literal 2 binary64)) |
(pow.f64 a #s(literal 1/3 binary64)) |
(cbrt.f64 a) |
(pow.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a))) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
Compiled 1 318 to 330 computations (75% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 8 | 94 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 90 | 15 | 105 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 34.3% | (pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
| 47.6% | (/.f64 (pow.f64 (/.f64 g #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 a)) | |
| 98.2% | (/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a)) | |
| ▶ | 98.7% | (/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
| 98.2% | (/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))) | |
| ✓ | 98.7% | (/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
| 98.5% | (/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a)) | |
| ✓ | 34.5% | (exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) |
| ▶ | 33.5% | (cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
| ▶ | 33.5% | (cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
| ✓ | 76.9% | (cbrt.f64 (/.f64 g (+.f64 a a))) |
| 48.3% | (cbrt.f64 (/.f64 g (*.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a a))))) | |
| ▶ | 76.9% | (cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
| 76.8% | #s(approx (pow (/ g (+ a a)) 1/3) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))) | |
| ▶ | 76.2% | #s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) |
Compiled 303 to 245 computations (19.1% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) | |
| cost-diff | 1 | (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) | |
| cost-diff | 6 | (-.f64 (*.f64 a a) (*.f64 a a)) | |
| cost-diff | 6 | (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) | |
| cost-diff | 0 | (/.f64 g a) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 g a)) | |
| cost-diff | 0 | (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a))) | |
| cost-diff | 0 | (cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) | |
| cost-diff | 6 | (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (*.f64 g (/.f64 #s(literal 1/2 binary64) a)) | |
| cost-diff | 0 | #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))) | |
| cost-diff | 0 | (cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) g) | |
| cost-diff | 0 | #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) | |
| cost-diff | 0 | (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) | |
| cost-diff | 0 | (/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 243 |
| 0 | 63 | 217 |
| 1 | 107 | 201 |
| 2 | 331 | 165 |
| 3 | 2555 | 165 |
| 0 | 8353 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) |
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) |
(*.f64 #s(literal 1/2 binary64) g) |
#s(literal 1/2 binary64) |
g |
(cbrt.f64 a) |
a |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 g (/.f64 #s(literal 1/2 binary64) a)) |
g |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
(/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a))) |
g |
(/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 g a)) |
(/.f64 g a) |
g |
a |
(cbrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
g |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(pow.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(*.f64 a a) |
| Outputs |
|---|
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) |
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) |
(*.f64 #s(literal 1/2 binary64) g) |
#s(literal 1/2 binary64) |
g |
(cbrt.f64 a) |
a |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g))) |
#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))) |
#s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g)) |
(*.f64 g (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) g) |
g |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
(cbrt.f64 (/.f64 (/.f64 g a) #s(literal 2 binary64))) |
(/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a))) |
(/.f64 (/.f64 g a) #s(literal 2 binary64)) |
g |
(/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(*.f64 a a) |
a |
#s(literal 2 binary64) |
#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 g a)) |
(/.f64 g a) |
g |
a |
(cbrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(cbrt.f64 (/.f64 (/.f64 g a) #s(literal 2 binary64))) |
(/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 (/.f64 g a) #s(literal 2 binary64)) |
g |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(*.f64 a a) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
#s(literal 0 binary64) |
(*.f64 a a) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) | |
| accuracy | 12.550711072511522 | (-.f64 (*.f64 a a) (*.f64 a a)) | |
| accuracy | 14.815258482814633 | (cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) | |
| accuracy | 40.078409850338154 | (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) | |
| accuracy | 0.0 | #s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.2578125 | (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) | |
| accuracy | 1.0 | (cbrt.f64 #s(literal 2 binary64)) | |
| accuracy | 14.779391006483792 | (cbrt.f64 (/.f64 g a)) | |
| accuracy | 0.01171875 | (*.f64 (*.f64 a a) #s(literal 2 binary64)) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) | |
| accuracy | 14.815258482814633 | (cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) | |
| accuracy | 40.078409850338154 | (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) a) | |
| accuracy | 0.0 | #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))) | |
| accuracy | 0.23046875 | (*.f64 g (/.f64 #s(literal 1/2 binary64) a)) | |
| accuracy | 14.815258482814633 | (cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) | |
| accuracy | 0.0 | #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) | |
| accuracy | 0.33984375 | (/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) | |
| accuracy | 0.5632401367581884 | (cbrt.f64 a) | |
| accuracy | 0.6055451172213043 | (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) |
| 87.0ms | 184× | 1 | valid |
| 24.0ms | 72× | 0 | valid |
Compiled 217 to 38 computations (82.5% saved)
ival-div: 25.0ms (32.5% of total)ival-mult: 17.0ms (22.1% of total)ival-cbrt: 14.0ms (18.2% of total)adjust: 9.0ms (11.7% of total)ival-sub: 4.0ms (5.2% of total)ival-pow: 4.0ms (5.2% of total)ival-add: 3.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) |
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) |
(*.f64 #s(literal 1/2 binary64) g) |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 g (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
(/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a))) |
#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 g a)) |
(/.f64 g a) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(cbrt.f64 a) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(cbrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) |
| Outputs |
|---|
(* (cbrt (/ g a)) (cbrt 1/2)) |
(* (cbrt g) (cbrt 1/2)) |
(* 1/2 g) |
(* 1/2 (/ g a)) |
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(cbrt (/ g a)) |
(/ g a) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(* -1 (* (cbrt g) (cbrt -1/2))) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(* -1 (* (cbrt (/ g a)) (cbrt -1))) |
(/ 1/2 a) |
(* 2 a) |
(* 2 (pow a 3)) |
0 |
(pow a 2) |
(cbrt a) |
(* 2 (pow a 2)) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(* (cbrt (/ g a)) (/ (pow (cbrt -1) 2) (cbrt 2))) |
(* (cbrt (/ g a)) (pow (cbrt -1) 2)) |
(* -1 (* (cbrt a) (cbrt -1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | g | @ | -inf | ((/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (/ (* (* (* a a) 2) a) (* a a)) (* (* (* a a) 2) a) (cbrt (/ g (/ (* (* (* a a) 2) a) (* a a)))) (/ g (/ (* (* (* a a) 2) a) (* a a))) (/ (cbrt g) (cbrt (+ a a))) (/ (cbrt (/ g a)) (cbrt 2)) (cbrt (/ g a)) (/ g a) (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (cbrt a) (* (* a a) 2) (cbrt 2) (* 2 (pow a 3))) |
| 12.0ms | a | @ | -inf | ((/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (/ (* (* (* a a) 2) a) (* a a)) (* (* (* a a) 2) a) (cbrt (/ g (/ (* (* (* a a) 2) a) (* a a)))) (/ g (/ (* (* (* a a) 2) a) (* a a))) (/ (cbrt g) (cbrt (+ a a))) (/ (cbrt (/ g a)) (cbrt 2)) (cbrt (/ g a)) (/ g a) (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (cbrt a) (* (* a a) 2) (cbrt 2) (* 2 (pow a 3))) |
| 9.0ms | g | @ | 0 | ((/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (/ (* (* (* a a) 2) a) (* a a)) (* (* (* a a) 2) a) (cbrt (/ g (/ (* (* (* a a) 2) a) (* a a)))) (/ g (/ (* (* (* a a) 2) a) (* a a))) (/ (cbrt g) (cbrt (+ a a))) (/ (cbrt (/ g a)) (cbrt 2)) (cbrt (/ g a)) (/ g a) (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (cbrt a) (* (* a a) 2) (cbrt 2) (* 2 (pow a 3))) |
| 8.0ms | a | @ | inf | ((/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (/ (* (* (* a a) 2) a) (* a a)) (* (* (* a a) 2) a) (cbrt (/ g (/ (* (* (* a a) 2) a) (* a a)))) (/ g (/ (* (* (* a a) 2) a) (* a a))) (/ (cbrt g) (cbrt (+ a a))) (/ (cbrt (/ g a)) (cbrt 2)) (cbrt (/ g a)) (/ g a) (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (cbrt a) (* (* a a) 2) (cbrt 2) (* 2 (pow a 3))) |
| 6.0ms | a | @ | 0 | ((/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (/ (* (* (* a a) 2) a) (* a a)) (* (* (* a a) 2) a) (cbrt (/ g (/ (* (* (* a a) 2) a) (* a a)))) (/ g (/ (* (* (* a a) 2) a) (* a a))) (/ (cbrt g) (cbrt (+ a a))) (/ (cbrt (/ g a)) (cbrt 2)) (cbrt (/ g a)) (/ g a) (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (* a a) (- (* a a) (* a a))) (cbrt (/ g (/ (* 2 (pow a 3)) (+ (* a a) (- (* a a) (* a a)))))) (cbrt a) (* (* a a) 2) (cbrt 2) (* 2 (pow a 3))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 138 |
| 1 | 102 | 136 |
| 2 | 210 | 136 |
| 3 | 515 | 136 |
| 4 | 2070 | 136 |
| 5 | 7393 | 136 |
| 0 | 8213 | 136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (cbrt (/ g a)) (cbrt 1/2)) |
(* (cbrt g) (cbrt 1/2)) |
(* 1/2 g) |
(* 1/2 (/ g a)) |
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(cbrt (/ g a)) |
(/ g a) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(* -1 (* (cbrt g) (cbrt -1/2))) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(* -1 (* (cbrt (/ g a)) (cbrt -1))) |
(/ 1/2 a) |
(* 2 a) |
(* 2 (pow a 3)) |
0 |
(pow a 2) |
(cbrt a) |
(* 2 (pow a 2)) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(* (cbrt (/ g a)) (/ (pow (cbrt -1) 2) (cbrt 2))) |
(* (cbrt (/ g a)) (pow (cbrt -1) 2)) |
(* -1 (* (cbrt a) (cbrt -1))) |
| Outputs |
|---|
(* (cbrt (/ g a)) (cbrt 1/2)) |
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))) |
(* (cbrt g) (cbrt 1/2)) |
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g)) |
(* 1/2 g) |
(*.f64 #s(literal 1/2 binary64) g) |
(* 1/2 (/ g a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 g a)) |
(* (cbrt (/ g a)) (/ 1 (cbrt 2))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt (/ g a)) |
(cbrt.f64 (/.f64 g a)) |
(/ g a) |
(/.f64 g a) |
(* -1 (* (cbrt (/ g a)) (cbrt -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* -1 (* (cbrt g) (cbrt -1/2))) |
(*.f64 (neg.f64 (cbrt.f64 g)) (cbrt.f64 #s(literal -1/2 binary64))) |
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2)))) |
(*.f64 (/.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* -1 (* (cbrt (/ g a)) (cbrt -1))) |
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 g a))) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* 2 a) |
(*.f64 a #s(literal 2 binary64)) |
(* 2 (pow a 3)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) |
0 |
#s(literal 0 binary64) |
(pow a 2) |
(*.f64 a a) |
(cbrt a) |
(cbrt.f64 a) |
(* 2 (pow a 2)) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2))) |
(*.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2))) |
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 g a))) (cbrt.f64 #s(literal -2 binary64))) |
(* (cbrt (/ g a)) (/ (pow (cbrt -1) 2) (cbrt 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 g a))) |
(* (cbrt (/ g a)) (pow (cbrt -1) 2)) |
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 g a))) |
(* -1 (* (cbrt a) (cbrt -1))) |
(*.f64 (cbrt.f64 a) (neg.f64 (cbrt.f64 #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 200 |
| 0 | 63 | 158 |
| 0 | 190 | 158 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) |
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) |
(*.f64 #s(literal 1/2 binary64) g) |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))) |
(*.f64 g (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
(/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a))) |
#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 g a)) |
(/.f64 g a) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(-.f64 (*.f64 a a) (*.f64 a a)) |
(fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(cbrt.f64 a) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(cbrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (neg.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))) (neg.f64 (cbrt.f64 a))) |
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) a)) |
(pow.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) #s(literal 1/3 binary64)) |
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) |
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) |
(*.f64 #s(literal 1/2 binary64) g) |
(*.f64 g #s(literal 1/2 binary64)) |
(pow.f64 #s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g)) #s(literal 1/3 binary64)) |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g))) |
#s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) g) |
(*.f64 g (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) g) a) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 a)) |
(/.f64 #s(literal 1/2 binary64) a) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (/.f64 a a)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (/.f64 a (*.f64 a a))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) a) a) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a)) (neg.f64 (*.f64 a a))) |
(/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)) |
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) |
(*.f64 (*.f64 a a) (*.f64 a #s(literal 2 binary64))) |
(*.f64 a (*.f64 (*.f64 a a) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a)) (*.f64 a a)) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (/.f64 a a)))) |
(cbrt.f64 (*.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a)) (*.f64 a a))) |
(*.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a)) (*.f64 a a)) |
(/.f64 (neg.f64 g) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (/.f64 a a)))) |
(/.f64 g (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (/.f64 a a))) |
#s(approx (/ (cbrt g) (cbrt (+ a a))) (cbrt.f64 (/.f64 (/.f64 g a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (cbrt.f64 (/.f64 g a))) (neg.f64 (cbrt.f64 #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))) |
(cbrt.f64 (/.f64 (/.f64 g a) #s(literal 2 binary64))) |
(pow.f64 (/.f64 g a) #s(literal 1/3 binary64)) |
(/.f64 (cbrt.f64 g) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 g a)) |
(/.f64 (neg.f64 g) (neg.f64 a)) |
(/.f64 g a) |
(*.f64 a #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (neg.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) (-.f64 a a)) |
(/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 a a #s(literal 0 binary64))) |
(+.f64 a a) |
#s(literal 0 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 0 binary64)) (-.f64 (*.f64 a a) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) #s(literal 0 binary64))))) |
(fma.f64 (neg.f64 a) (neg.f64 a) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 a) (fabs.f64 a) #s(literal 0 binary64)) |
(fma.f64 a a #s(literal 0 binary64)) |
(-.f64 (fma.f64 a a (*.f64 a a)) (*.f64 a a)) |
(+.f64 #s(literal 0 binary64) (*.f64 a a)) |
(+.f64 (*.f64 a a) #s(literal 0 binary64)) |
(pow.f64 (/.f64 (/.f64 g #s(literal 2 binary64)) a) #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 a #s(literal 2 binary64))))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
(cbrt.f64 (/.f64 (/.f64 g #s(literal 2 binary64)) a)) |
(pow.f64 a #s(literal 1/3 binary64)) |
(cbrt.f64 a) |
(*.f64 (*.f64 a a) #s(literal 2 binary64)) |
(*.f64 a (*.f64 a #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 a a)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/3 binary64)) |
(cbrt.f64 #s(literal 2 binary64)) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 (*.f64 a a) a (pow.f64 a #s(literal 3 binary64))) |
(fma.f64 a (*.f64 a a) (pow.f64 a #s(literal 3 binary64))) |
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) |
Compiled 1 412 to 329 computations (76.7% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 7 | 94 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 91 | 18 | 109 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 34.3% | (pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
| 47.6% | (/.f64 (pow.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) #s(literal 1/3 binary64)) (cbrt.f64 a)) | |
| ✓ | 98.7% | (/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
| 98.2% | (/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))) | |
| ✓ | 98.7% | (/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
| 98.5% | (/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a)) | |
| ✓ | 34.5% | (exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) |
| ✓ | 33.5% | (cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
| 33.5% | (cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* a a) (- (* a a) (* a a))) (*.f64 a a))))) | |
| ✓ | 76.9% | (cbrt.f64 (/.f64 g (+.f64 a a))) |
| 49.4% | (cbrt.f64 (/.f64 g (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (/.f64 a a)))) | |
| 48.3% | (cbrt.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (/.f64 a (*.f64 a a))))) | |
| 24.5% | (cbrt.f64 (*.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a)) (*.f64 a a))) | |
| ✓ | 76.9% | (cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
| 76.8% | #s(approx (pow (/ g (+ a a)) 1/3) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))) | |
| 98.2% | #s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 #s(literal 2 binary64)))) | |
| 76.8% | #s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (pow.f64 #s(literal 2 binary64) #s(literal 1/3 binary64)))) | |
| ✓ | 76.2% | #s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) |
Compiled 625 to 307 computations (50.9% saved)
| Inputs |
|---|
(cbrt.f64 (/.f64 g (+.f64 a a))) |
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a)) (*.f64 a a))) |
(cbrt.f64 (/.f64 g (*.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a a))))) |
(cbrt.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (/.f64 a (*.f64 a a))))) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
(cbrt.f64 (/.f64 g (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (/.f64 a a)))) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))) |
#s(approx (cbrt (/ g (+ a a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))) |
#s(approx (pow (/ g (+ a a)) 1/3) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))) |
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a)) |
(/.f64 (pow.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) #s(literal 1/3 binary64)) (cbrt.f64 a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (+.f64 a a))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 g (*.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))) |
#s(approx (/ (cbrt g) (cbrt (* a 2))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))) |
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a)) |
#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (pow.f64 #s(literal 2 binary64) #s(literal 1/3 binary64)))) |
(/.f64 (pow.f64 (/.f64 g #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) #s(approx (+ (* a a) (- (* a a) (* a a))) (*.f64 a a))))) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a)) |
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a)) |
(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
| Outputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
5 calls:
| 11.0ms | (*.f64 #s(literal 2 binary64) a) |
| 9.0ms | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
| 8.0ms | a |
| 8.0ms | g |
| 8.0ms | (/.f64 g (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | (*.f64 #s(literal 2 binary64) a) |
| 98.7% | 1 | (/.f64 g (*.f64 #s(literal 2 binary64) a)) |
| 98.7% | 1 | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
| 98.7% | 1 | g |
| 98.7% | 1 | a |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
(cbrt.f64 (/.f64 g (+.f64 a a))) |
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)) |
(cbrt.f64 (*.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a)) (*.f64 a a))) |
(cbrt.f64 (/.f64 g (*.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 a a))))) |
(cbrt.f64 (/.f64 g (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (/.f64 a (*.f64 a a))))) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (*.f64 a a)))) |
(cbrt.f64 (/.f64 g (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) a) (/.f64 a a)))) |
(cbrt.f64 (/.f64 g (/.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))) |
| Outputs |
|---|
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
5 calls:
| 5.0ms | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
| 4.0ms | (*.f64 #s(literal 2 binary64) a) |
| 3.0ms | a |
| 3.0ms | g |
| 3.0ms | (/.f64 g (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 1 | (*.f64 #s(literal 2 binary64) a) |
| 76.9% | 1 | (/.f64 g (*.f64 #s(literal 2 binary64) a)) |
| 76.9% | 1 | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
| 76.9% | 1 | g |
| 76.9% | 1 | a |
Compiled 16 to 19 computations (-18.8% saved)
Total -27.2b remaining (-183.8%)
Threshold costs -27.2b (-183.8%)
| Inputs |
|---|
(cbrt.f64 (/.f64 g (+.f64 a a))) |
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(cbrt.f64 (/.f64 g (+.f64 a a))) |
5 calls:
| 1.0ms | g |
| 1.0ms | (*.f64 #s(literal 2 binary64) a) |
| 1.0ms | a |
| 1.0ms | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
| 1.0ms | (/.f64 g (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 1 | (*.f64 #s(literal 2 binary64) a) |
| 76.9% | 1 | a |
| 76.9% | 1 | g |
| 76.9% | 1 | (/.f64 g (*.f64 #s(literal 2 binary64) a)) |
| 76.9% | 1 | (cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a))) |
Compiled 16 to 19 computations (-18.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 25 |
| 1 | 22 | 25 |
| 2 | 31 | 25 |
| 3 | 51 | 25 |
| 4 | 122 | 25 |
| 5 | 863 | 25 |
| 6 | 6302 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
(cbrt.f64 (/.f64 g (+.f64 a a))) |
| Outputs |
|---|
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a))) |
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))) |
(cbrt.f64 (/.f64 g (+.f64 a a))) |
| 1× | fuel |
Compiled 25 to 16 computations (36% saved)
Compiled 62 to 44 computations (29% saved)
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