
Time bar (total: 4.4s)
| 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)
| 676.0ms | 8 256× | 0 | valid |
ival-div: 234.0ms (59.2% of total)ival-mult: 152.0ms (38.4% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 35 | 0 | - | 2 | (-8.50925867167796e-298 4.95305348722744e-51 917861182.2208921 2.1413512788492117e-261) | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 22 | 0 | - | 0 | - | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| 20 | 0 | - | 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 | 19 | 0 |
| ↳ | (*.f64 (/.f64 y z) t) | overflow | 42 | |
| ↳ | (/.f64 y z) | overflow | 32 | |
/.f64 | (/.f64 (*.f64 (/.f64 y z) t) t) | u/n | 14 | 0 |
| ↳ | (*.f64 (/.f64 y z) t) | underflow | 30 | |
| ↳ | (/.f64 y z) | underflow | 27 | |
*.f64 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | n*o | 13 | 0 |
*.f64 | (*.f64 (/.f64 y z) t) | n*u | 11 | 0 |
*.f64 | (*.f64 (/.f64 y z) t) | n*o | 9 | 0 |
*.f64 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | n*u | 9 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 46 | 1 |
| - | 18 | 191 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 46 | 0 | 1 |
| - | 18 | 0 | 191 |
| number | freq |
|---|---|
| 0 | 192 |
| 1 | 53 |
| 2 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-div: 12.0ms (63.8% of total)ival-mult: 7.0ms (37.2% 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 |
|---|---|---|
| ▶ | 79.8% | (*.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 | 4.287065383926607 | (*.f64 (/.f64 y z) t) | |
| accuracy | 6.720606096627929 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) | |
| accuracy | 9.413524597583907 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 34.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-mult: 14.0ms (52.8% of total)ival-div: 12.0ms (45.3% 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 | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | y | @ | 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 |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 t y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 t z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) z) t)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (/.f64 (neg.f64 t) z) t) (neg.f64 y)) |
(*.f64 (/.f64 y t) (/.f64 t z)) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) t) (*.f64 (neg.f64 y) t)) |
(*.f64 (pow.f64 (*.f64 t z) #s(literal -1 binary64)) (*.f64 t y)) |
(*.f64 (/.f64 (/.f64 t z) t) y) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) t) (neg.f64 t)) |
(*.f64 (/.f64 (/.f64 y z) t) t) |
(*.f64 (/.f64 t z) (/.f64 y t)) |
(*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 t) z) y)) |
(*.f64 (*.f64 (neg.f64 y) t) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 t y) (pow.f64 (*.f64 t z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 t (/.f64 y z))) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 (neg.f64 t) z) t)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 t) (/.f64 (/.f64 (neg.f64 y) z) t)) |
(*.f64 (*.f64 (/.f64 (neg.f64 t) z) y) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 t (/.f64 y z)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 t (/.f64 (/.f64 y z) t)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (/.f64 t z) t)) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z))) (/.f64 (neg.f64 y) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t (/.f64 y z)) t)) (*.f64 (neg.f64 t) t)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (neg.f64 z) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) z) (*.f64 (neg.f64 z) (/.f64 z y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (*.f64 t z)) (*.f64 (neg.f64 z) (*.f64 (/.f64 z y) t))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (*.f64 (*.f64 (neg.f64 y) t) t)) (*.f64 (*.f64 t z) t)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y)) (neg.f64 t)) (*.f64 (/.f64 z y) t)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 t z)) (*.f64 (*.f64 t y) t)) (*.f64 (*.f64 (neg.f64 z) t) t)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) t) (*.f64 (/.f64 (neg.f64 z) y) t)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 t z)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) t))) (*.f64 (neg.f64 z) (*.f64 t z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (*.f64 (neg.f64 z) (*.f64 t y))) (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 t) z) y))) (*.f64 (neg.f64 z) t)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (*.f64 (neg.f64 z) (*.f64 t (/.f64 y z)))) (*.f64 t z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 z) t)) (*.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 z) y) t))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) y)) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (*.f64 t t)) (*.f64 (*.f64 (/.f64 z y) t) (neg.f64 t))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 t) t)) (*.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) y) t))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) t)) (*.f64 t z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) t) t) (*.f64 (*.f64 (neg.f64 z) t) t)) |
(/.f64 (*.f64 (*.f64 t y) t) (*.f64 (*.f64 t z) t)) |
(/.f64 (/.f64 y t) (/.f64 z t)) |
(/.f64 (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 (*.f64 t (/.f64 y z)) t) (*.f64 t t)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -2 binary64))) (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t))) |
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -3 binary64))) (*.f64 (neg.f64 t) (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 z) (*.f64 y y))) |
(/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (neg.f64 z) y) t) (*.f64 t t))) |
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (/.f64 (neg.f64 z) y) t) t)) |
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (/.f64 z y) t) (neg.f64 t))) |
(/.f64 (*.f64 t t) (*.f64 (*.f64 (/.f64 z y) t) t)) |
(/.f64 (/.f64 (/.f64 y z) t) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 (/.f64 t z) (/.f64 t y)) |
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 (neg.f64 z) y) t)) |
(/.f64 (*.f64 (neg.f64 y) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t))) |
(/.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 z) t)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 t y) (*.f64 t z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 z y) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 (neg.f64 t) (*.f64 (*.f64 (/.f64 z y) t) #s(literal -1 binary64))) |
(/.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) y) t)) |
(/.f64 (*.f64 (/.f64 (neg.f64 t) z) y) (neg.f64 t)) |
(/.f64 (*.f64 t (/.f64 y z)) t) |
(/.f64 t (*.f64 (/.f64 z y) t)) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 y z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64) (/.f64 y z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 y z)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64)) (/.f64 y z)) |
(+.f64 #s(literal 0 binary64) (/.f64 y z)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 t (*.f64 (*.f64 x t) y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 y z) t) x) t) |
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) t) (*.f64 (/.f64 (neg.f64 t) z) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 x t) y) t) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x t) (*.f64 (neg.f64 y) t)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (/.f64 x t) (*.f64 t y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) t) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) |
(*.f64 (*.f64 (/.f64 x t) (pow.f64 z #s(literal -1 binary64))) (*.f64 t y)) |
(*.f64 (*.f64 (/.f64 x t) (/.f64 y z)) t) |
(*.f64 (*.f64 (/.f64 x t) t) (/.f64 y z)) |
(*.f64 (*.f64 (/.f64 t z) (/.f64 x t)) y) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) y) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 y z) t) (*.f64 x t)) |
(*.f64 (*.f64 (*.f64 x t) y) (pow.f64 (*.f64 t z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x t) (*.f64 t (/.f64 y z))) |
(*.f64 (*.f64 x t) (/.f64 (/.f64 y z) t)) |
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 t z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) (/.f64 t z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(*.f64 (*.f64 t y) (*.f64 (/.f64 x t) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (*.f64 t (/.f64 y z))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x y)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 x (*.f64 t (/.f64 y z)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 t) z) y) (/.f64 (neg.f64 x) t)) |
(*.f64 x (/.f64 y z)) |
(*.f64 (*.f64 t (/.f64 y z)) (/.f64 x t)) |
(*.f64 t (*.f64 (/.f64 (/.f64 y z) t) x)) |
(*.f64 t (*.f64 (/.f64 x t) (/.f64 y z))) |
(*.f64 (/.f64 y z) (*.f64 (/.f64 x t) t)) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (*.f64 (/.f64 t z) (/.f64 x t))) |
(*.f64 y (/.f64 x z)) |
(pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x t) y) t)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x t) (*.f64 (neg.f64 y) t))) z) |
(/.f64 (neg.f64 (*.f64 (/.f64 x t) t)) (/.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 z y)) |
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) y)) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (*.f64 t t)) (*.f64 (*.f64 (/.f64 z y) t) (neg.f64 t))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t))) (*.f64 t t)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 t) t)) (*.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) y) t))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) t)) (*.f64 t z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) t) t) (*.f64 (*.f64 (neg.f64 z) t) t)) |
(/.f64 (*.f64 (*.f64 t y) t) (*.f64 (*.f64 t z) t)) |
(/.f64 (/.f64 y t) (/.f64 z t)) |
(/.f64 (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t)) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 (*.f64 t (/.f64 y z)) t) (*.f64 t t)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -2 binary64))) (/.f64 t (/.f64 (/.f64 (neg.f64 z) y) t))) |
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 z) y)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -3 binary64))) (*.f64 (neg.f64 t) (pow.f64 (/.f64 (/.f64 z y) t) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 z) (*.f64 y y))) |
(/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (neg.f64 z) y) t) (*.f64 t t))) |
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (/.f64 (neg.f64 z) y) t) t)) |
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (/.f64 z y) t) (neg.f64 t))) |
(/.f64 (*.f64 t t) (*.f64 (*.f64 (/.f64 z y) t) t)) |
(/.f64 (/.f64 (/.f64 y z) t) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 (/.f64 t z) (/.f64 t y)) |
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 (neg.f64 z) y) t)) |
(/.f64 (*.f64 (neg.f64 y) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) t))) |
(/.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 z) t)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 t y) (*.f64 t z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 z y) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 (neg.f64 t) (*.f64 (*.f64 (/.f64 z y) t) #s(literal -1 binary64))) |
(/.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 z) y) t)) |
(/.f64 (*.f64 (/.f64 (neg.f64 t) z) y) (neg.f64 t)) |
(/.f64 (*.f64 t (/.f64 y z)) t) |
(/.f64 t (*.f64 (/.f64 z y) t)) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 y z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64) (/.f64 y z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) y) t)) (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) t)) (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) t)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 y z)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 0 binary64)) (/.f64 y z)) |
(+.f64 #s(literal 0 binary64) (/.f64 y z)) |
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 |
|---|---|---|
| 69.5% | (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) | |
| ▶ | 94.5% | (/.f64 (*.f64 x y) z) |
| ▶ | 90.7% | (/.f64 x (/.f64 z y)) |
| 90.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) x)) | |
| ▶ | 89.5% | (*.f64 (/.f64 y z) x) |
| ▶ | 92.4% | (*.f64 (/.f64 x z) y) |
| ▶ | 94.4% | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
Compiled 88 to 98 computations (-11.4% 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 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) |
| 518× | 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 | 510 | 62 |
| 6 | 695 | 62 |
| 7 | 1451 | 62 |
| 8 | 1874 | 62 |
| 9 | 1952 | 62 |
| 10 | 1966 | 62 |
| 11 | 1978 | 62 |
| 0 | 1978 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 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 #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 y) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
(*.f64 (/.f64 x z) y) |
(/.f64 (*.f64 y x) z) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 y x) z) |
(/.f64 y z) |
y |
z |
x |
(/.f64 x (/.f64 z y)) |
(/.f64 (*.f64 y x) z) |
x |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) z) |
(/.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 | 3.6088307873774936 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 5.95455382041377 | (/.f64 x (/.f64 z y)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 6.720606096627929 | (*.f64 (/.f64 y z) x) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 4.88350754232945 | (*.f64 (/.f64 x z) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 3.5424245373774936 | (/.f64 (*.f64 x y) z) |
| 67.0ms | 256× | 0 | valid |
Compiled 67 to 19 computations (71.6% saved)
ival-div: 30.0ms (76.6% of total)ival-mult: 8.0ms (20.4% of total)ival-neg: 1.0ms (2.6% 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 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 #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 |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<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 (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation:binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation:binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation:binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation:binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#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 0 z) (#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 0 z) (#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 0 z) (#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 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 (*.f64 x y) z) (patch (/.f64 (*.f64 x y) z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation:binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<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 (/ (* x y) z) (taylor inf z) (#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation:binary64>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 36.0ms | y | @ | inf | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 3.0ms | z | @ | 0 | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 1.0ms | z | @ | -inf | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ x (/ z y)) (/ z y) (* (/ -1 z) (* (neg y) x)) (/ -1 z) (* (neg y) x) (neg y)) |
| 1.0ms | x | @ | -inf | ((/ (* x y) z) (* x y) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z) (/ 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 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 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) |
(/ 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 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) |
(/ 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 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 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 (* 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) |
(* 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 (* 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) |
(* 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 (* 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) |
(* 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 y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(/ (* 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 y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(/ (* 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 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 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 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) |
(/.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 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) |
(/.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 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) |
(/.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 (* 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) |
(*.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 (* 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) |
(*.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 (* 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) |
(*.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 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 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 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 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 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 | 284 | 45 |
| 3 | 1411 | 45 |
| 4 | 6114 | 44 |
| 0 | 8231 | 44 |
| 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 #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 |
|---|
(*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x z) (*.f64 y y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x z) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 y y) x) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (pow.f64 (*.f64 (*.f64 y y) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) y) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 y y) (/.f64 (/.f64 x z) y)) |
(*.f64 (*.f64 y y) (/.f64 x (*.f64 z y))) |
(*.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z x))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (/.f64 x z) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (*.f64 (*.f64 y y) z))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 z x))) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) x)) |
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(pow.f64 (/.f64 y (*.f64 (/.f64 x z) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 x z) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 z y) (*.f64 (*.f64 y y) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 z y) x) (/.f64 (/.f64 z y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 z y) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x))) (*.f64 (/.f64 y z) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) x))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y z) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (*.f64 (/.f64 x z) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 z y) (*.f64 y y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (*.f64 (/.f64 x z) (*.f64 y y)))) (*.f64 (/.f64 z y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (/.f64 z y) (*.f64 (*.f64 y y) x))) (*.f64 (/.f64 z y) (*.f64 z y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) z)) (*.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) (*.f64 (/.f64 z y) (*.f64 (*.f64 y y) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (*.f64 (/.f64 y z) x))) (/.f64 z y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (/.f64 z y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (neg.f64 x))) (pow.f64 (/.f64 y z) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) x)) (/.f64 z y)) (*.f64 (/.f64 z y) (/.f64 (/.f64 z y) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 z y) (/.f64 y z))) (/.f64 (/.f64 z y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (/.f64 x z))) (*.f64 (/.f64 z y) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (*.f64 y x))) (*.f64 (/.f64 z y) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (/.f64 z y) y)) (*.f64 (/.f64 z y) (/.f64 z x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) x)) (pow.f64 (/.f64 y z) #s(literal -2 binary64))) |
(/.f64 (*.f64 z y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z z))) |
(/.f64 (/.f64 (*.f64 y y) z) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 x z) (*.f64 y y)) y) |
(/.f64 (*.f64 (/.f64 x z) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (/.f64 z y) x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 z y) (*.f64 x x))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 z (*.f64 y x))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 z (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y z))) |
(/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/.f64 (*.f64 (*.f64 y y) x) (*.f64 z y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (*.f64 y y) z)) |
(/.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 y z) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 y y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 y y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z y))) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 z x) (*.f64 y y))) |
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 y y) z))) |
(/.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x z) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (/.f64 x z) (pow.f64 y #s(literal 3 binary64))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) |
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(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 y #s(literal 1 binary64)) |
(/.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 y (/.f64 (*.f64 y y) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 y (/.f64 y y) #s(literal 0 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 y #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 y)) |
(+.f64 #s(literal 0 binary64) y) |
(+.f64 y #s(literal 0 binary64)) |
y |
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 |
|---|---|---|
| ✓ | 94.5% | (/.f64 (*.f64 x y) z) |
| ▶ | 92.1% | (/.f64 y (/.f64 z x)) |
| ✓ | 89.5% | (*.f64 (/.f64 y z) x) |
| ✓ | 92.4% | (*.f64 (/.f64 x z) y) |
| ✓ | 94.4% | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
Compiled 28 to 33 computations (-17.9% 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 | 5.073985103229465 | (/.f64 y (/.f64 z x)) |
| 12.0ms | 256× | 0 | valid |
Compiled 13 to 8 computations (38.5% saved)
ival-div: 3.0ms (85.8% 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 | @ | 0 | ((/ y (/ z x)) (/ z x)) |
| 1.0ms | z | @ | inf | ((/ y (/ z x)) (/ z x)) |
| 1.0ms | x | @ | -inf | ((/ y (/ z x)) (/ z x)) |
| 1.0ms | 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 |
|---|
(*.f64 (/.f64 (*.f64 x y) (*.f64 z z)) z) |
(*.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (/.f64 x z) #s(literal -2 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (/.f64 x z) #s(literal -3 binary64))) (pow.f64 (/.f64 x z) #s(literal -2 binary64))) |
(*.f64 (/.f64 y (pow.f64 (/.f64 x z) #s(literal -2 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 y (pow.f64 (/.f64 x z) #s(literal -3 binary64))) (pow.f64 (/.f64 x z) #s(literal -2 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 x z) y))) (sqrt.f64 (*.f64 (/.f64 x z) y))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x z) y))) (sqrt.f64 (*.f64 (/.f64 x z) y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 z x))) (/.f64 (neg.f64 y) (sqrt.f64 (/.f64 z x)))) |
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(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 x z) #s(literal -2 binary64)) (/.f64 x z) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 x z) #s(literal -3 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 z (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) z #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 z x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 z x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 z x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x z) #s(literal -2 binary64))) (/.f64 z x)) |
(-.f64 #s(literal 0 binary64) (/.f64 z x)) |
(exp.f64 (fma.f64 (log.f64 (/.f64 x z)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 x z)) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64) (neg.f64 (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 z x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 z x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 z x)) |
(+.f64 #s(literal 0 binary64) (/.f64 z x)) |
(+.f64 (/.f64 z x) #s(literal 0 binary64)) |
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 |
|---|---|---|
| ✓ | 94.5% | (/.f64 (*.f64 x y) z) |
| ✓ | 92.1% | (/.f64 y (/.f64 z x)) |
| ✓ | 89.5% | (*.f64 (/.f64 y z) x) |
| ✓ | 92.4% | (*.f64 (/.f64 x z) y) |
| ✓ | 94.4% | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
Compiled 86 to 62 computations (27.9% 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 #s(literal 1 binary64) (/.f64 (/.f64 z y) x)) |
| Outputs |
|---|
(*.f64 (/.f64 y z) x) |
(/.f64 y (/.f64 z x)) |
7 calls:
| 5.0ms | t |
| 3.0ms | (/.f64 y z) |
| 3.0ms | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 2 | x |
| 97.2% | 2 | y |
| 99.8% | 2 | z |
| 94.5% | 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) |
(/.f64 x (/.f64 z y)) |
| Outputs |
|---|
(*.f64 (/.f64 y z) x) |
(/.f64 (*.f64 x y) z) |
2 calls:
| 3.0ms | (/.f64 y z) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | z |
| 99.8% | 2 | (/.f64 y z) |
Compiled 4 to 9 computations (-125% saved)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
| Outputs |
|---|
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
1 calls:
| 1.0ms | (/.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (/.f64 y z) |
Compiled 3 to 5 computations (-66.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(*.f64 (/.f64 x z) y) |
7 calls:
| 1.0ms | z |
| 1.0ms | t |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 1 | t |
| 92.4% | 1 | x |
| 92.4% | 1 | y |
| 92.4% | 1 | (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) |
| 92.4% | 1 | (/.f64 (*.f64 (/.f64 y z) t) t) |
| 92.4% | 1 | z |
| 92.4% | 1 | (/.f64 y z) |
Compiled 23 to 36 computations (-56.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.62471292205639e+199 | 1.948454824654008e+205 |
Compiled 12 to 15 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.815677628362388e+255 | 9.327405837876128e+255 |
Compiled 12 to 15 computations (-25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.14326111018672e+302 | 1.088390286778402e+303 |
Compiled 12 to 15 computations (-25% saved)
| 1× | egg-herbie |
| 6× | *-commutative-binary64-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 53 |
| 1 | 23 | 53 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 y z) #s(literal 99999999999999996973312221251036165947450327545502362648241750950346848435554075534196338404706251868027512415973882408182135734368278484639385041047239877871023591066789981811181813306167128854888448 binary64)) (*.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (/.f64 y z) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (*.f64 (/.f64 y z) x) (/.f64 (*.f64 x y) z)) |
(if (<=.f64 (/.f64 y z) #s(literal 400000000000000030518812316339579701389387420602627246806406936824845521152503177936568755858767136306558990308554195045488841551379199753167262445402079323000670599425955926506145472381658429256940604233493835947563300622636254470863452821130489562037136733759434468412334942695399596818281992630042624 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
| Outputs |
|---|
(if (<=.f64 (/.f64 y z) #s(literal 99999999999999996973312221251036165947450327545502362648241750950346848435554075534196338404706251868027512415973882408182135734368278484639385041047239877871023591066789981811181813306167128854888448 binary64)) (*.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (/.f64 y z) #s(literal 99999999999999996973312221251036165947450327545502362648241750950346848435554075534196338404706251868027512415973882408182135734368278484639385041047239877871023591066789981811181813306167128854888448 binary64)) (*.f64 x (/.f64 y z)) (/.f64 y (/.f64 z x))) |
(if (<=.f64 (/.f64 y z) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (*.f64 (/.f64 y z) x) (/.f64 (*.f64 x y) z)) |
(if (<=.f64 (/.f64 y z) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) (*.f64 x (/.f64 y z)) (/.f64 (*.f64 x y) z)) |
(if (<=.f64 (/.f64 y z) #s(literal 400000000000000030518812316339579701389387420602627246806406936824845521152503177936568755858767136306558990308554195045488841551379199753167262445402079323000670599425955926506145472381658429256940604233493835947563300622636254470863452821130489562037136733759434468412334942695399596818281992630042624 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y)) |
(if (<=.f64 (/.f64 y z) #s(literal 400000000000000030518812316339579701389387420602627246806406936824845521152503177936568755858767136306558990308554195045488841551379199753167262445402079323000670599425955926506145472381658429256940604233493835947563300622636254470863452821130489562037136733759434468412334942695399596818281992630042624 binary64)) (*.f64 x (/.f64 y z)) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
| 2 246× | lower-*.f32 |
| 2 242× | lower-*.f64 |
| 2 096× | lower-/.f32 |
| 2 092× | lower-/.f64 |
| 1 546× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 49 |
| 0 | 28 | 45 |
| 1 | 72 | 45 |
| 2 | 284 | 45 |
| 3 | 1411 | 45 |
| 4 | 6114 | 44 |
| 0 | 8231 | 44 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 156 to 94 computations (39.7% saved)
(abs t)
Compiled 542 to 304 computations (43.9% saved)
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