
Time bar (total: 4.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 8 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 9 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 10 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 673.0ms | 8 256× | 0 | valid |
ival-div: 235.0ms (59.6% of total)ival-mult: 149.0ms (37.8% of total)ival-true: 7.0ms (1.8% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 45 | 0 | - | 3 | (5.327587992253032e-87 -1.7404026735876262e+148 2.3595182250849926e+234 4.6233616552872625e-225) | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 16 | 0 | - | 2 | (-1.208585126505456e-87 1.9150267600118834e-113 -1.0526095878614415e+204 -3.350008896984041e+302) | (*.f64 (/.f64 y z) t) |
| 12 | 0 | - | 2 | (-2.4700727957663888e+306 1.962257669164563e-200 -2.5015652921627122e+119 6.570807009281127e-106) | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (/.f64 y z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (/.f64 y z) t) t) | o/n | 24 | 0 |
| ↳ | (*.f64 (/.f64 y z) t) | overflow | 46 | |
| ↳ | (/.f64 y z) | overflow | 33 | |
/.f64 | (/.f64 (*.f64 (/.f64 y z) t) t) | u/n | 18 | 0 |
| ↳ | (*.f64 (/.f64 y z) t) | underflow | 32 | |
| ↳ | (/.f64 y z) | underflow | 17 | |
*.f64 | (*.f64 (/.f64 y z) t) | n*o | 11 | 0 |
*.f64 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | n*o | 8 | 0 |
*.f64 | (*.f64 (/.f64 y z) t) | n*u | 3 | 0 |
*.f64 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | n*u | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 42 | 2 |
| - | 22 | 190 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 42 | 0 | 2 |
| - | 22 | 0 | 190 |
| number | freq |
|---|---|
| 0 | 192 |
| 1 | 62 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-div: 8.0ms (53.3% of total)ival-mult: 7.0ms (46.7% of total)ival-true: 1.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 5 272× | lower-/.f32 |
| 5 268× | lower-/.f64 |
| 4 940× | lower-*.f32 |
| 4 936× | lower-*.f64 |
| 2 382× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 140 |
| 1 | 158 | 78 |
| 2 | 471 | 74 |
| 3 | 1705 | 74 |
| 4 | 4240 | 74 |
| 5 | 7046 | 74 |
| 6 | 7540 | 74 |
| 7 | 7654 | 74 |
| 8 | 7741 | 74 |
| 9 | 7783 | 74 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 20 | 7 |
| 2 | 43 | 5 |
| 3 | 88 | 5 |
| 4 | 321 | 5 |
| 5 | 1010 | 5 |
| 6 | 2524 | 5 |
| 7 | 2839 | 5 |
| 8 | 3022 | 5 |
| 9 | 3096 | 5 |
| 10 | 3147 | 5 |
| 11 | 3201 | 5 |
| 12 | 5890 | 5 |
| 13 | 6026 | 5 |
| 14 | 6456 | 5 |
| 15 | 6940 | 5 |
| 16 | 7607 | 5 |
| 0 | 8101 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
(*.f64 (/.f64 y z) x) |
(abs t)
(negabs z)
(negabs y)
(negabs x)
(sort x y)
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.5% | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) t) | |
| cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 5 272× | lower-/.f32 |
| 5 268× | lower-/.f64 |
| 4 940× | lower-*.f32 |
| 4 936× | lower-*.f64 |
| 2 382× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 32 |
| 1 | 20 | 26 |
| 2 | 43 | 20 |
| 3 | 88 | 20 |
| 4 | 321 | 20 |
| 5 | 1010 | 20 |
| 6 | 2524 | 20 |
| 7 | 2839 | 20 |
| 8 | 3022 | 20 |
| 9 | 3096 | 20 |
| 10 | 3147 | 20 |
| 11 | 3201 | 20 |
| 12 | 5890 | 20 |
| 13 | 6026 | 20 |
| 14 | 6456 | 20 |
| 15 | 6940 | 20 |
| 16 | 7607 | 20 |
| 0 | 8101 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
x |
(/.f64 (*.f64 (/.f64 y z) t) t) |
(*.f64 (/.f64 y z) t) |
(/.f64 y z) |
y |
z |
t |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
(*.f64 (/.f64 y z) x) |
x |
(/.f64 (*.f64 (/.f64 y z) t) t) |
(/.f64 y z) |
(*.f64 (/.f64 y z) t) |
(*.f64 t (/.f64 y z)) |
(/.f64 y z) |
y |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 5.036279474887822 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | |
| accuracy | 5.652349259315947 | (*.f64 (/.f64 y z) t) | |
| accuracy | 9.5089951216847 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 17.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 3.0ms (43.5% of total)ival-mult: 3.0ms (43.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor 0 y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t y) z) (taylor -inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | z | @ | inf | ((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z)) |
| 2.0ms | t | @ | 0 | ((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z)) |
| 1.0ms | y | @ | -inf | ((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z)) |
| 1.0ms | t | @ | -inf | ((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z)) |
| 1.0ms | z | @ | 0 | ((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z)) |
| 1× | egg-herbie |
| 24× | lower-*.f64 |
| 24× | lower-*.f32 |
| 12× | *-commutative |
| 10× | lower-/.f32 |
| 10× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 600 |
| 1 | 13 | 600 |
| 2 | 19 | 600 |
| 3 | 21 | 600 |
| 0 | 21 | 600 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ (* t y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ (* t y) z) |
(*.f64 t (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
(/ (* x y) z) |
(*.f64 x (/.f64 y z)) |
| 2 246× | lower-*.f32 |
| 2 242× | lower-*.f64 |
| 2 096× | lower-/.f32 |
| 2 092× | lower-/.f64 |
| 654× | frac-2neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 28 |
| 1 | 35 | 16 |
| 2 | 191 | 16 |
| 3 | 1459 | 16 |
| 0 | 5896 | 16 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 y z) t) t) |
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
(*.f64 (/.f64 y z) t) |
(/.f64 y z) |
| Outputs |
|---|
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Compiled 6 395 to 1 123 computations (82.4% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 537 | 7 | 544 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 538 | 7 | 545 |
| Status | Accuracy | Program |
|---|---|---|
| 76.4% | (/.f64 (/.f64 (*.f64 (*.f64 x t) y) t) z) | |
| 74.9% | (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) | |
| ▶ | 92.7% | (/.f64 (*.f64 x y) z) |
| ▶ | 93.0% | (/.f64 x (/.f64 z y)) |
| ▶ | 92.1% | (*.f64 (/.f64 y z) x) |
| ▶ | 95.8% | (*.f64 (/.f64 x z) y) |
| ▶ | 92.6% | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
Compiled 92 to 98 computations (-6.5% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 384 | (/.f64 x (/.f64 z y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) |
| 514× | associate-*r* |
| 372× | times-frac |
| 272× | lower-fma.f64 |
| 272× | lower-fma.f32 |
| 272× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 65 |
| 0 | 28 | 62 |
| 1 | 43 | 62 |
| 2 | 77 | 62 |
| 3 | 190 | 62 |
| 4 | 358 | 62 |
| 5 | 508 | 62 |
| 6 | 693 | 62 |
| 7 | 1450 | 62 |
| 8 | 1875 | 62 |
| 9 | 1953 | 62 |
| 10 | 1967 | 62 |
| 11 | 1979 | 62 |
| 0 | 1979 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(/.f64 x (/.f64 z y)) |
x |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
(/.f64 y z) |
y |
z |
x |
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 x z) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
(/.f64 x (/.f64 z y)) |
(*.f64 (/.f64 x z) y) |
x |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 x z) y) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.737583287656766 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 4.456177940355292 | (/.f64 x (/.f64 z y)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 4.686802037656766 | (/.f64 (*.f64 x y) z) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 5.036279474887822 | (*.f64 (/.f64 y z) x) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 2.6574127999679 | (*.f64 (/.f64 x z) y) |
| 84.0ms | 256× | 0 | valid |
Compiled 67 to 19 computations (71.6% saved)
ival-div: 10.0ms (52% of total)ival-mult: 8.0ms (41.6% of total)ival-neg: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 98.0ms | y | @ | 0 | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 3.0ms | z | @ | 0 | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 1.0ms | y | @ | -inf | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 1.0ms | z | @ | -inf | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 1.0ms | y | @ | inf | ((* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ (* x y) z) (* x y) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 1× | egg-herbie |
| 36× | lower-+.f64 |
| 36× | lower-+.f32 |
| 32× | lower-*.f64 |
| 32× | lower-fma.f64 |
| 32× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 1344 |
| 1 | 20 | 1344 |
| 2 | 31 | 1344 |
| 3 | 35 | 1344 |
| 4 | 43 | 1344 |
| 5 | 54 | 1344 |
| 6 | 65 | 1344 |
| 7 | 86 | 1344 |
| 8 | 109 | 1344 |
| 9 | 111 | 1344 |
| 10 | 112 | 1344 |
| 0 | 112 | 1344 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
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(/ (* x y) z) |
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(/ z y) |
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(/ z y) |
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(/ z y) |
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(/ z y) |
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(/ -1 z) |
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(/ -1 z) |
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(/ -1 z) |
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(/ -1 z) |
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(/ (* x y) z) |
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(/ y z) |
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(/ y z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ -1 z) |
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(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
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(/ -1 z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
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(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ y z) |
(/.f64 y z) |
(/ y z) |
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(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
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(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
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(/ y z) |
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(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
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(/ (* x y) z) |
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(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
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(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
| 1 546× | lower-fma.f64 |
| 1 546× | lower-fma.f32 |
| 1 536× | lower-*.f32 |
| 1 526× | lower-*.f64 |
| 1 006× | log-div |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 49 |
| 0 | 28 | 45 |
| 1 | 72 | 45 |
| 2 | 286 | 45 |
| 3 | 1420 | 45 |
| 4 | 6105 | 44 |
| 0 | 8215 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (*.f64 x y) z) |
(*.f64 x y) |
(/.f64 x (/.f64 z y)) |
(/.f64 z y) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
| Outputs |
|---|
#<batchref> |
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Compiled 16 041 to 1 508 computations (90.6% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 504 | 1 | 1 505 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 507 | 5 | 1 512 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.7% | (/.f64 (*.f64 x y) z) |
| ▶ | 95.0% | (/.f64 y (/.f64 z x)) |
| ✓ | 93.0% | (/.f64 x (/.f64 z y)) |
| ✓ | 92.1% | (*.f64 (/.f64 y z) x) |
| ✓ | 95.8% | (*.f64 (/.f64 x z) y) |
Compiled 25 to 30 computations (-20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (/.f64 y (/.f64 z x)) |
| 12× | lower-*.f64 |
| 12× | lower-*.f32 |
| 10× | lower-/.f32 |
| 6× | *-commutative |
| 6× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 9 | 11 |
| 2 | 12 | 11 |
| 3 | 16 | 11 |
| 4 | 17 | 11 |
| 0 | 17 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 3.2064275557591433 | (/.f64 y (/.f64 z x)) |
| 11.0ms | 256× | 0 | valid |
Compiled 13 to 8 computations (38.5% saved)
ival-div: 3.0ms (81% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((/ y (/ z x)) (/ z x)) |
| 1.0ms | z | @ | inf | ((/ y (/ z x)) (/ z x)) |
| 1.0ms | z | @ | 0 | ((/ y (/ z x)) (/ z x)) |
| 1.0ms | x | @ | -inf | ((/ y (/ z x)) (/ z x)) |
| 0.0ms | x | @ | 0 | ((/ y (/ z x)) (/ z x)) |
| 1× | egg-herbie |
| 12× | lower-*.f64 |
| 12× | lower-*.f32 |
| 8× | lower-/.f32 |
| 8× | lower-/.f64 |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 12 | 252 |
| 3 | 13 | 252 |
| 0 | 13 | 252 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
| 1 536× | lower-*.f64 |
| 1 536× | lower-*.f32 |
| 1 294× | frac-times |
| 1 214× | log-div |
| 1 138× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 24 | 8 |
| 2 | 120 | 8 |
| 3 | 666 | 8 |
| 4 | 4865 | 8 |
| 0 | 8513 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 y (/.f64 z x)) |
(/.f64 z x) |
| Outputs |
|---|
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Compiled 2 874 to 567 computations (80.3% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 291 | 0 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 291 | 5 | 296 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.7% | (/.f64 (*.f64 x y) z) |
| ✓ | 95.0% | (/.f64 y (/.f64 z x)) |
| ✓ | 93.0% | (/.f64 x (/.f64 z y)) |
| ✓ | 92.1% | (*.f64 (/.f64 y z) x) |
| ✓ | 95.8% | (*.f64 (/.f64 x z) y) |
Compiled 85 to 58 computations (31.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
(/.f64 x (/.f64 z y)) |
(/.f64 y (/.f64 z x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) |
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
(/.f64 (/.f64 (*.f64 (*.f64 x t) y) t) z) |
| Outputs |
|---|
(/.f64 x (/.f64 z y)) |
(*.f64 (/.f64 x z) y) |
7 calls:
| 119.0ms | x |
| 3.0ms | (/.f64 y z) |
| 3.0ms | t |
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | x |
| 97.6% | 2 | y |
| 99.8% | 2 | z |
| 95.8% | 1 | t |
| 99.4% | 2 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| 99.4% | 2 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 99.8% | 2 | (/.f64 y z) |
Compiled 23 to 36 computations (-56.5% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
2 calls:
| 2.0ms | z |
| 2.0ms | (/.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | z |
| 99.8% | 2 | (/.f64 y z) |
Compiled 4 to 9 computations (-125% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
6 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (/.f64 y z) |
| 1.0ms | (/.f64 (*.f64 (/.f64 y z) t) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | x |
| 95.8% | 1 | y |
| 95.8% | 1 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| 95.8% | 1 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 95.8% | 1 | (/.f64 y z) |
| 95.8% | 1 | z |
Compiled 22 to 32 computations (-45.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.616873303493264e+290 | 1.8378179883861109e+292 |
Compiled 12 to 15 computations (-25% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 128.0ms | 6.1862210166662785e-28 | 1.7923078706234603e-26 |
| 126.0ms | 48× | 0 | valid |
Compiled 42 to 57 computations (-35.7% saved)
ival-div: 1.0ms (77.8% of total)ival-mult: 1.0ms (77.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 35 |
| 1 | 17 | 35 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 y z) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 x (/.f64 z y)) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 z #s(literal 1742245718635205/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(if (<=.f64 (/.f64 y z) #s(literal 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (/.f64 x (/.f64 z y)) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 z #s(literal 1742245718635205/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x)) |
(if (<=.f64 z #s(literal 1742245718635205/174224571863520493293247799005065324265472 binary64)) (*.f64 (/.f64 x z) y) (*.f64 x (/.f64 y z))) |
(*.f64 (/.f64 x z) y) |
| 2 246× | lower-*.f32 |
| 2 242× | lower-*.f64 |
| 2 096× | lower-/.f32 |
| 2 092× | lower-/.f64 |
| 654× | frac-2neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 28 |
| 1 | 35 | 16 |
| 2 | 191 | 16 |
| 3 | 1459 | 16 |
| 0 | 5896 | 16 |
| 1× | done |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 105 to 65 computations (38.1% saved)
(abs t)
Compiled 506 to 312 computations (38.3% saved)
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