
Time bar (total: 4.1s)
| 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)
| 684.0ms | 8 256× | 0 | valid |
ival-div: 208.0ms (54.3% of total)ival-mult: 164.0ms (42.8% of total)ival-true: 7.0ms (1.8% of total)ival-assert: 4.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 50 | 0 | - | 2 | (-3.3073401187529635e-165 -2.764034829562704e+208 -5.1408944796258277e+219 2.4207285952755643e-304) | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 23 | 0 | - | 2 | (-3.4315897618780383e+148 -2.6525617716983743e-217 -2.169625443360253e+102 -2.4131635479518514e-117) | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| 17 | 1 | (2.4708571304286296e-71 -1.4956935408942745e-218 -2.05196608709645e+196 -4.2499004611795635e+91) | 0 | - | (*.f64 (/.f64 y z) 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 | 27 | 0 |
| ↳ | (*.f64 (/.f64 y z) t) | overflow | 46 | |
| ↳ | (/.f64 y z) | overflow | 30 | |
/.f64 | (/.f64 (*.f64 (/.f64 y z) t) t) | u/n | 21 | 0 |
| ↳ | (*.f64 (/.f64 y z) t) | underflow | 47 | |
| ↳ | (/.f64 y z) | underflow | 33 | |
*.f64 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | n*u | 13 | 0 |
*.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 | 7 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 2 |
| - | 34 | 172 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 2 |
| - | 34 | 0 | 172 |
| number | freq |
|---|---|
| 0 | 174 |
| 1 | 77 |
| 2 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-div: 8.0ms (54.6% of total)ival-mult: 6.0ms (41% of total)ival-true: 0.0ms (0% 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 |
|---|---|---|
| ▶ | 84.1% | (*.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 | 4.156647063261507 | (*.f64 (/.f64 y z) t) | |
| accuracy | 4.797729986282144 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | |
| accuracy | 10.307215846332241 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 17.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 3.0ms (45.1% of total)ival-mult: 3.0ms (45.1% 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 | |
|---|---|---|---|---|
| 4.0ms | t | @ | 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 | z | @ | inf | ((/ (* (/ 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× | 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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 539 | 5 | 544 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 540 | 5 | 545 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.3% | (/.f64 (*.f64 x y) z) |
| ▶ | 93.0% | (/.f64 x (/.f64 z y)) |
| ▶ | 75.1% | (*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) |
| ▶ | 92.5% | (*.f64 (/.f64 y z) x) |
| ▶ | 88.9% | (*.f64 (/.f64 x z) y) |
Compiled 62 to 68 computations (-9.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 t) z) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) t) | |
| cost-diff | 1280 | (*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 384 | (/.f64 x (/.f64 z y)) | |
| 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) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) z) |
| 2 012× | div-sub |
| 1 704× | lower-*.f32 |
| 1 694× | lower-*.f64 |
| 1 672× | lower-fma.f64 |
| 1 672× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 0 | 32 | 71 |
| 1 | 54 | 71 |
| 2 | 114 | 71 |
| 3 | 413 | 71 |
| 4 | 1530 | 71 |
| 5 | 4114 | 71 |
| 6 | 5477 | 71 |
| 7 | 6215 | 71 |
| 8 | 6684 | 71 |
| 9 | 6734 | 71 |
| 10 | 6756 | 71 |
| 11 | 7404 | 71 |
| 12 | 7882 | 71 |
| 0 | 8096 | 71 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 x (/.f64 z y)) |
x |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) |
(/.f64 (neg.f64 x) t) |
(neg.f64 x) |
x |
t |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(/.f64 (neg.f64 t) z) |
(neg.f64 t) |
z |
y |
| Outputs |
|---|
(/.f64 (*.f64 x y) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 x (/.f64 z y)) |
(*.f64 (/.f64 y z) x) |
x |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) |
(*.f64 (/.f64 y z) x) |
(/.f64 (neg.f64 x) t) |
(neg.f64 x) |
x |
t |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(/.f64 (neg.f64 t) z) |
(neg.f64 t) |
z |
y |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 3.9451226561315202 | (*.f64 (/.f64 (neg.f64 t) z) y) | |
| accuracy | 12.827347883551395 | (*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 4.462085793201167 | (/.f64 x (/.f64 z y)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 4.797729986282144 | (*.f64 (/.f64 y z) x) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 7.116525620820148 | (*.f64 (/.f64 x z) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 3.0372723758596596 | (/.f64 (*.f64 x y) z) |
| 103.0ms | 256× | 0 | valid |
Compiled 79 to 20 computations (74.7% saved)
ival-div: 45.0ms (68.9% of total)ival-mult: 18.0ms (27.6% of total)ival-neg: 2.0ms (3.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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 (/.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 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 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) (patch (*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) t) (patch (/.f64 (neg.f64 x) t) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 t) z) y) (patch (*.f64 (/.f64 (neg.f64 t) z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) t) (patch (/.f64 (neg.f64 x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | -inf | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ (neg x) t) (* (/ (neg t) z) y)) (/ (neg x) t) (neg x) (* (/ (neg t) z) y) (neg t)) |
| 3.0ms | t | @ | inf | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ (neg x) t) (* (/ (neg t) z) y)) (/ (neg x) t) (neg x) (* (/ (neg t) z) y) (neg t)) |
| 2.0ms | x | @ | -inf | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ (neg x) t) (* (/ (neg t) z) y)) (/ (neg x) t) (neg x) (* (/ (neg t) z) y) (neg t)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ (neg x) t) (* (/ (neg t) z) y)) (/ (neg x) t) (neg x) (* (/ (neg t) z) y) (neg t)) |
| 1.0ms | z | @ | 0 | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ (neg x) t) (* (/ (neg t) z) y)) (/ (neg x) t) (neg x) (* (/ (neg t) z) y) (neg t)) |
| 1× | egg-herbie |
| 116× | lower-*.f64 |
| 116× | lower-fma.f64 |
| 116× | lower-fma.f32 |
| 116× | lower-*.f32 |
| 104× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 1608 |
| 1 | 32 | 1608 |
| 2 | 58 | 1608 |
| 3 | 97 | 1608 |
| 4 | 137 | 1608 |
| 5 | 181 | 1608 |
| 6 | 213 | 1608 |
| 7 | 274 | 1608 |
| 8 | 313 | 1608 |
| 9 | 332 | 1608 |
| 10 | 333 | 1608 |
| 0 | 333 | 1608 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* 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 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) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t 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 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) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t 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 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) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t 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) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t y) z)) |
(* -1 (/ (* t 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 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) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* 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 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) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* 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 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) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 (/ x t)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(/ (* 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 t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(/ (* 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 t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(/ (* 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 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) |
(/ 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 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) 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) |
(/ (* 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) |
(/ 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 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) 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) |
(/ (* 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) |
(/ 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 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) 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) |
(* 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) |
(/ 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) |
(/ 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 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) 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) |
(* 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) |
(/ 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) |
(/ 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 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) 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) |
(* 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) |
(/ 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) |
(/ 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 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(* -1 (/ (* t y) z)) |
(*.f64 (/.f64 (neg.f64 t) 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) |
(* 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 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) 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 t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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) |
(*.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 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) 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 t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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) |
(*.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 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) 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 t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 3 682× | lower-/.f32 |
| 3 668× | lower-/.f64 |
| 3 260× | lower-*.f32 |
| 3 250× | lower-*.f64 |
| 1 418× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 57 |
| 0 | 32 | 51 |
| 1 | 89 | 51 |
| 2 | 466 | 51 |
| 3 | 4080 | 51 |
| 0 | 8323 | 51 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) z) |
(*.f64 x y) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 x (/.f64 z y)) |
(/.f64 z y) |
(*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) |
(/.f64 (neg.f64 x) t) |
(neg.f64 x) |
(*.f64 (/.f64 (neg.f64 t) z) y) |
(neg.f64 t) |
| Outputs |
|---|
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Compiled 28 373 to 2 628 computations (90.7% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 331 | 1 | 2 332 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 332 | 5 | 2 337 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.3% | (/.f64 (*.f64 x y) z) |
| ▶ | 88.1% | (/.f64 y (/.f64 z x)) |
| ✓ | 93.0% | (/.f64 x (/.f64 z y)) |
| ✓ | 92.5% | (*.f64 (/.f64 y z) x) |
| ✓ | 88.9% | (*.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 | 7.618854793122118 | (/.f64 y (/.f64 z x)) |
| 28.0ms | 256× | 0 | valid |
Compiled 13 to 8 computations (38.5% saved)
ival-div: 3.0ms (81.7% 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 |
|---|---|---|
| ✓ | 95.3% | (/.f64 (*.f64 x y) z) |
| ✓ | 88.1% | (/.f64 y (/.f64 z x)) |
| ✓ | 93.0% | (/.f64 x (/.f64 z y)) |
| ✓ | 92.5% | (*.f64 (/.f64 y z) x) |
| ✓ | 88.9% | (*.f64 (/.f64 x z) y) |
Compiled 70 to 53 computations (24.3% 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 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
(*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) |
| Outputs |
|---|
(/.f64 x (/.f64 z y)) |
(/.f64 y (/.f64 z x)) |
7 calls:
| 20.0ms | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 3.0ms | x |
| 3.0ms | t |
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 2 | x |
| 97.6% | 2 | y |
| 99.8% | 2 | z |
| 95.3% | 1 | t |
| 99.8% | 2 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| 99.8% | 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) |
(/.f64 x (/.f64 z y)) |
| Outputs |
|---|
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
3 calls:
| 2.0ms | (/.f64 y z) |
| 2.0ms | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 2.0ms | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 99.8% | 2 | (/.f64 y z) |
| 99.8% | 2 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
Compiled 19 to 20 computations (-5.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
7 calls:
| 12.0ms | x |
| 1.0ms | t |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (/.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 1 | t |
| 88.9% | 1 | x |
| 88.9% | 1 | y |
| 88.9% | 1 | z |
| 88.9% | 1 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| 88.9% | 1 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 88.9% | 1 | (/.f64 y z) |
Compiled 23 to 36 computations (-56.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2937925280459365e-63 | 3.2463275395281686e-63 |
Compiled 12 to 15 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3309375383669246e+281 | +inf |
Compiled 12 to 15 computations (-25% saved)
| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 49 |
| 1 | 25 | 49 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #s(literal 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(if (<=.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #s(literal 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (*.f64 (/.f64 (*.f64 t (/.f64 y z)) t) x) #s(literal 5558020283391177/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 (*.f64 (/.f64 (*.f64 t (/.f64 y z)) t) x) #s(literal 200000000000000006556449196572419649714141056604298712852666715488188520639474867185586875734482358610763499516364830163740326935382139139198798220258608504224955760849124013163054654471029919298065709782502060125818520278488967130426189712965200924415757135362171021140252940042240 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
| 3 682× | lower-/.f32 |
| 3 668× | lower-/.f64 |
| 3 260× | lower-*.f32 |
| 3 250× | lower-*.f64 |
| 2 246× | lower-*.f32 |
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 |
| 0 | 18 | 57 |
| 0 | 32 | 51 |
| 1 | 89 | 51 |
| 2 | 466 | 51 |
| 3 | 4080 | 51 |
| 0 | 8323 | 51 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 129 to 78 computations (39.5% saved)
(abs t)
Compiled 642 to 376 computations (41.4% saved)
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