
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 706.0ms | 8 256× | 0 | valid |
ival-mult: 322.0ms (70.2% of total)ival-add: 65.0ms (14.2% of total)ival-div: 56.0ms (12.2% of total)ival-true: 7.0ms (1.5% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 36 | 0 | - | 3 | (1.0472456851159186e-121 7.426742278445532e-131 -2.7075965725389895e-157) | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/u | 8 | 0 |
| ↳ | (*.f64 x y) | underflow | 27 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 52 | |
| ↳ | (*.f64 z z) | underflow | 52 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/o | 7 | 0 |
| ↳ | (*.f64 x y) | overflow | 29 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 70 | |
| ↳ | (*.f64 z z) | overflow | 57 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/o | 5 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 70 | |
| ↳ | (*.f64 z z) | overflow | 57 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/u | 5 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 52 | |
| ↳ | (*.f64 z z) | underflow | 52 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/n | 4 | 0 |
| ↳ | (*.f64 x y) | overflow | 29 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/n | 4 | 0 |
| ↳ | (*.f64 x y) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 3 |
| - | 0 | 220 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 3 |
| - | 0 | 0 | 220 |
| number | freq |
|---|---|
| 0 | 223 |
| 1 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 112.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-add: 24.0ms (63.1% of total)ival-mult: 10.0ms (26.3% of total)ival-div: 3.0ms (7.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 110 |
| 1 | 145 | 103 |
| 2 | 738 | 101 |
| 3 | 3668 | 99 |
| 4 | 6136 | 99 |
| 5 | 6961 | 99 |
| 6 | 7157 | 99 |
| 7 | 7175 | 99 |
| 8 | 7181 | 99 |
| 9 | 7181 | 99 |
| 10 | 7740 | 99 |
| 11 | 7902 | 99 |
| 12 | 7954 | 99 |
| 13 | 7954 | 99 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 38 | 11 |
| 2 | 143 | 11 |
| 3 | 591 | 11 |
| 4 | 1369 | 11 |
| 5 | 2480 | 11 |
| 6 | 2919 | 11 |
| 7 | 3050 | 11 |
| 8 | 3058 | 11 |
| 9 | 3058 | 11 |
| 10 | 3422 | 11 |
| 11 | 3738 | 11 |
| 12 | 3738 | 11 |
| 13 | 3738 | 11 |
| 14 | 3894 | 11 |
| 15 | 3894 | 11 |
| 0 | 3894 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(negabs y)
(negabs x)
(sort x y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.1% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 38 | 31 |
| 2 | 143 | 31 |
| 3 | 591 | 31 |
| 4 | 1369 | 31 |
| 5 | 2480 | 31 |
| 6 | 2919 | 31 |
| 7 | 3050 | 31 |
| 8 | 3058 | 31 |
| 9 | 3058 | 31 |
| 10 | 3422 | 31 |
| 11 | 3738 | 31 |
| 12 | 3738 | 31 |
| 13 | 3738 | 31 |
| 14 | 3894 | 31 |
| 15 | 3894 | 31 |
| 0 | 3894 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(*.f64 z z) |
z |
(+.f64 z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 z z) |
z |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.046875 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | |
| accuracy | 8.10058344174426 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 20.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-mult: 9.0ms (76% of total)ival-div: 2.0ms (16.9% of total)ival-add: 1.0ms (8.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 x y) |
(*.f64 z z) |
| Outputs |
|---|
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 2.0ms | x | @ | inf | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 1.0ms | x | @ | 0 | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 1.0ms | x | @ | -inf | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 1.0ms | z | @ | inf | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 236 |
| 1 | 207 | 215 |
| 2 | 857 | 193 |
| 3 | 4522 | 183 |
| 0 | 8208 | 179 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
| Outputs |
|---|
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)) |
(* x y) |
(*.f64 y x) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 y x)) (*.f64 z z)) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 y z) y) z))) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (neg.f64 y) (/.f64 (-.f64 (/.f64 y z) y) z))) z)) (pow.f64 z #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 0 | 14 | 24 |
| 1 | 56 | 24 |
| 2 | 343 | 24 |
| 3 | 3087 | 24 |
| 0 | 9060 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 x y) |
(*.f64 z z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (*.f64 z z)) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (-.f64 (pow.f64 z #s(literal 3/2 binary64)) z)) |
(*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 z #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 z z) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 z z) (+.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 z (fma.f64 z z z)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 z z z) z))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z z) z)))) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z))) (*.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))) (*.f64 z z)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z))))) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (+.f64 #s(literal -1 binary64) z)))) (*.f64 (*.f64 z z) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64)))))) (*.f64 (fma.f64 z z z) z)) |
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(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (fma.f64 z z #s(literal -1 binary64)) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 x z)) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 y)) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (+.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (/.f64 x (*.f64 z z)) y) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(neg.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z))) |
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))))) |
(fma.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))))) |
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 (neg.f64 x)) y) |
(*.f64 (neg.f64 (neg.f64 y)) x) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 y (neg.f64 (neg.f64 x))) |
(*.f64 y x) |
(*.f64 x (neg.f64 (neg.f64 y))) |
(*.f64 x y) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 z z)) |
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 (*.f64 z z) #s(literal -1 binary64)) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 z z) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z)) |
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 z z)) |
(sqrt.f64 (pow.f64 z #s(literal 4 binary64))) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (/.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
Compiled 6 093 to 764 computations (87.5% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 10 | 266 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 256 | 11 | 267 |
| Status | Accuracy | Program |
|---|---|---|
| 45.2% | (/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z) | |
| ▶ | 95.2% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
| ▶ | 97.0% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| ▶ | 87.2% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| 96.0% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) | |
| ✓ | 87.1% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ▶ | 73.4% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ▶ | 90.3% | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
| 46.3% | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) | |
| 94.3% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) | |
| 77.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 243 to 177 computations (27.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 y (fma.f64 z z z)) | |
| cost-diff | 0 | (/.f64 (/.f64 y (fma.f64 z z z)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 142 |
| 0 | 40 | 142 |
| 1 | 79 | 140 |
| 2 | 176 | 140 |
| 3 | 502 | 140 |
| 4 | 1061 | 140 |
| 5 | 2286 | 140 |
| 6 | 2840 | 140 |
| 7 | 3110 | 140 |
| 8 | 3188 | 140 |
| 9 | 3215 | 140 |
| 10 | 3225 | 140 |
| 11 | 3603 | 140 |
| 12 | 3919 | 140 |
| 13 | 3919 | 140 |
| 14 | 3919 | 140 |
| 15 | 4148 | 140 |
| 16 | 4244 | 140 |
| 17 | 4244 | 140 |
| 0 | 4244 | 140 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
x |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(fma.f64 z z z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(/.f64 x z) |
x |
z |
y |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
x |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(fma.f64 z z z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 1.6399228514087998 | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| accuracy | 4.094888670287892 | (*.f64 (/.f64 y z) x) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 y (fma.f64 z z z)) z) | |
| accuracy | 4.470914160400253 | (/.f64 y (fma.f64 z z z)) | |
| accuracy | 6.160907752903028 | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 8.10058344174426 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 8.10058344174426 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 22.089745815755652 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 1.6399228514087998 | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) | |
| accuracy | 5.164221940332361 | (*.f64 (/.f64 x z) y) |
| 69.0ms | 256× | 0 | valid |
Compiled 147 to 24 computations (83.7% saved)
ival-mult: 15.0ms (49.1% of total)ival-div: 12.0ms (39.3% of total)ival-add: 3.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 y x) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
(/.f64 y (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(/ y (* z (+ z (pow z 2)))) |
(/ y (+ z (pow z 2))) |
(/ y z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
z |
(* z (+ 1 z)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ y (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3))) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | -inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z)) |
| 8.0ms | x | @ | -inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z)) |
| 4.0ms | y | @ | -inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z)) |
| 4.0ms | x | @ | inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z)) |
| 3.0ms | y | @ | inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 607 |
| 1 | 472 | 552 |
| 2 | 1880 | 487 |
| 3 | 7630 | 487 |
| 0 | 8498 | 472 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(/ y (* z (+ z (pow z 2)))) |
(/ y (+ z (pow z 2))) |
(/ y z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
z |
(* z (+ 1 z)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ y (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3))) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(* x y) |
(*.f64 y x) |
(/ y (* z (+ z (pow z 2)))) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
(/ y (+ z (pow z 2))) |
(/.f64 y (fma.f64 z z z)) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 y z) y) z) x) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (neg.f64 z) (*.f64 y x)) (*.f64 z z)) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 y z) y) z) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z) z) |
(/ (+ y (* -1 (* y z))) z) |
(-.f64 (/.f64 y z) y) |
(/ (+ y (* z (- (* y z) y))) z) |
(fma.f64 y (-.f64 z #s(literal 1 binary64)) (/.f64 y z)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(/ y (pow z 3)) |
(/.f64 y (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (*.f64 z z)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (*.f64 z z)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(*.f64 x (/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3))) |
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3))) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3))) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (*.f64 z z)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (*.f64 z z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 115 |
| 0 | 40 | 115 |
| 1 | 122 | 113 |
| 2 | 603 | 113 |
| 3 | 6443 | 113 |
| 0 | 8251 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 y x) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
(/.f64 y (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 y z) x) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 y (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z)) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 x z))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 x z))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z)) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 y z))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (fma.f64 z z z) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) |
(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/.f64 (/.f64 (*.f64 (/.f64 y z) x) z) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 (*.f64 y x) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) |
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(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (-.f64 #s(literal 1 binary64) z)) |
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(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(*.f64 (neg.f64 y) (/.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y z) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 y z) (neg.f64 x)) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x z) (neg.f64 y)) |
(*.f64 (/.f64 x z) y) |
(*.f64 x (/.f64 y z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) z) |
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 (neg.f64 x) y) z) |
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) z) |
(/.f64 (/.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 y) z) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 y z) |
(neg.f64 (/.f64 y z)) |
Compiled 16 182 to 1 853 computations (88.5% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 750 | 5 | 755 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 750 | 16 | 766 |
| Status | Accuracy | Program |
|---|---|---|
| 45.2% | (/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z) | |
| ✓ | 95.2% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
| ✓ | 97.0% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| ✓ | 87.2% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ▶ | 96.0% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| ✓ | 87.1% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 73.4% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ▶ | 29.8% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
| ✓ | 90.3% | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
| 46.3% | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) | |
| ▶ | 94.3% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| 86.7% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| ▶ | 78.7% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| ▶ | 74.0% | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
| 77.7% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 338 to 244 computations (27.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 x (fma.f64 z z z)) | |
| cost-diff | 0 | (/.f64 (/.f64 x (fma.f64 z z z)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 y x) z) z) | |
| cost-diff | 0 | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) | |
| cost-diff | 0 | (neg.f64 (*.f64 z z)) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 y (fma.f64 z z z)) | |
| cost-diff | 0 | (*.f64 x (/.f64 y (fma.f64 z z z))) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 184 |
| 0 | 47 | 184 |
| 1 | 87 | 179 |
| 2 | 201 | 179 |
| 3 | 566 | 179 |
| 4 | 1266 | 179 |
| 5 | 2429 | 179 |
| 6 | 2966 | 179 |
| 7 | 3181 | 179 |
| 8 | 3253 | 179 |
| 9 | 3287 | 179 |
| 10 | 3291 | 179 |
| 11 | 3630 | 179 |
| 12 | 3918 | 179 |
| 13 | 3918 | 179 |
| 14 | 3918 | 179 |
| 15 | 4181 | 179 |
| 16 | 4181 | 179 |
| 0 | 4181 | 179 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(*.f64 x (/.f64 y (fma.f64 z z z))) |
x |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
x |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
y |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
(*.f64 x y) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) |
(neg.f64 (*.f64 z z)) |
(*.f64 z z) |
z |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
y |
x |
z |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
x |
(fma.f64 z z z) |
z |
y |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 x (/.f64 y (fma.f64 z z z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
x |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
x |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
y |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z)) |
(neg.f64 (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
(*.f64 z z) |
z |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/.f64 (*.f64 (/.f64 x z) y) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 x z) y) |
(*.f64 y x) |
y |
x |
z |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
x |
(fma.f64 z z z) |
z |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.15625 | (/.f64 (/.f64 x (fma.f64 z z z)) z) | |
| accuracy | 0.5394647142677833 | (/.f64 x (fma.f64 z z z)) | |
| accuracy | 3.567195644124992 | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.9624099897213683 | (/.f64 (/.f64 (*.f64 y x) z) z) | |
| accuracy | 4.5960147967743215 | (/.f64 (*.f64 y x) z) | |
| accuracy | 13.488250811126242 | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0 | (neg.f64 (*.f64 z z)) | |
| accuracy | 8.10058344174426 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) | |
| accuracy | 42.63996784750251 | #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 3.567195644124992 | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) | |
| accuracy | 4.624869475916566 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 22.089745815755652 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.6981519318294317 | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) | |
| accuracy | 4.470914160400253 | (/.f64 y (fma.f64 z z z)) | |
| accuracy | 4.545087031199103 | (*.f64 x (/.f64 y (fma.f64 z z z))) |
| 80.0ms | 256× | 0 | valid |
Compiled 165 to 27 computations (83.6% saved)
ival-mult: 16.0ms (46% of total)ival-div: 15.0ms (43.2% of total)ival-add: 3.0ms (8.6% of total)ival-neg: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(*.f64 x (/.f64 y (fma.f64 z z z))) |
(/.f64 y (fma.f64 z z z)) |
(fma.f64 z z z) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
(*.f64 x y) |
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) |
(neg.f64 (*.f64 z z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(* x y) |
(/ (* x y) (pow z 2)) |
(/ (* x y) z) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/ y z) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
z |
(* z (+ 1 z)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* -1 (pow z 2)) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* z (- (* x z) x))) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 82.0ms | y | @ | 0 | ((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (/ (* y x) z) z) (/ (* y x) z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 5.0ms | x | @ | -inf | ((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (/ (* y x) z) z) (/ (* y x) z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 4.0ms | y | @ | -inf | ((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (/ (* y x) z) z) (/ (* y x) z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 4.0ms | x | @ | inf | ((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (/ (* y x) z) z) (/ (* y x) z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 3.0ms | x | @ | 0 | ((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) z)) (+ (* z z) z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (/ (* y x) z) z) (/ (* y x) z) (* y x) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 967 |
| 1 | 724 | 836 |
| 2 | 2529 | 775 |
| 0 | 8436 | 756 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(* x y) |
(/ (* x y) (pow z 2)) |
(/ (* x y) z) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/ y z) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
z |
(* z (+ 1 z)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* -1 (pow z 2)) |
(/ x z) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* z (- (* x z) x))) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2)) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ y (+ z (pow z 2))) |
(/.f64 y (fma.f64 z z z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (-.f64 (*.f64 (/.f64 y z) x) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64))) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(*.f64 y (-.f64 (/.f64 x z) x)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(-.f64 (*.f64 (/.f64 y z) x) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64))) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (* y z))) z) |
(-.f64 (/.f64 y z) y) |
(/ (+ y (* z (- (* y z) y))) z) |
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 x z) x) z) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* z (- (* x z) x))) z) |
(/.f64 (fma.f64 (-.f64 (*.f64 z x) x) z x) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/.f64 (*.f64 x (/.f64 (-.f64 y (/.f64 y z)) z)) z) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (*.f64 z z)) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z) z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ x (pow z 3)) |
(/.f64 x (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
(/.f64 (-.f64 x (/.f64 x z)) (*.f64 z z)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) z) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) z) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (*.f64 z z)) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z) z) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z) z) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) z) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 162 |
| 0 | 47 | 159 |
| 1 | 134 | 154 |
| 2 | 635 | 154 |
| 3 | 6064 | 154 |
| 0 | 8671 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(*.f64 x (/.f64 y (fma.f64 z z z))) |
(/.f64 y (fma.f64 z z z)) |
(fma.f64 z z z) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
(*.f64 x y) |
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) |
(neg.f64 (*.f64 z z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(/.f64 (/.f64 (*.f64 y x) z) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 y (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z)) |
(*.f64 (/.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y (*.f64 (fma.f64 z z z) z))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (*.f64 (fma.f64 z z z) z))) |
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(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z))) |
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(/.f64 (/.f64 x (fma.f64 z z z)) #s(literal 1 binary64)) |
(/.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 x (fma.f64 z z z)) |
(neg.f64 (/.f64 x (fma.f64 z z z))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z) (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (fma.f64 z z z) z) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z))) |
Compiled 13 349 to 2 057 computations (84.6% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 621 | 5 | 626 |
| Fresh | 3 | 2 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 5 | 6 |
| Total | 625 | 17 | 642 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.2% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
| ✓ | 97.0% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| ✓ | 87.2% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 96.0% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 61.0% | (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z) | |
| ✓ | 73.4% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ✓ | 29.8% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
| ✓ | 90.3% | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
| ✓ | 94.3% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| 81.8% | (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) | |
| ▶ | 86.7% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
| ▶ | 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| ▶ | 89.7% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| ✓ | 78.7% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| ▶ | 33.3% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
| ✓ | 74.0% | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
| ▶ | 79.4% | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
Compiled 329 to 228 computations (30.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (/.f64 y (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) y) z) | |
| cost-diff | 0 | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) | |
| cost-diff | 0 | (neg.f64 (*.f64 z z)) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 195 |
| 0 | 45 | 195 |
| 1 | 85 | 189 |
| 2 | 189 | 189 |
| 3 | 544 | 189 |
| 4 | 1174 | 189 |
| 5 | 2293 | 189 |
| 6 | 2893 | 189 |
| 7 | 3130 | 189 |
| 8 | 3214 | 189 |
| 9 | 3248 | 189 |
| 10 | 3252 | 189 |
| 11 | 3600 | 189 |
| 12 | 3872 | 189 |
| 13 | 3872 | 189 |
| 14 | 3872 | 189 |
| 15 | 4098 | 189 |
| 16 | 4098 | 189 |
| 0 | 4098 | 189 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
y |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
x |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
x |
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) |
(neg.f64 (*.f64 z z)) |
(*.f64 z z) |
z |
y |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
(/.f64 (*.f64 (/.f64 x z) y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
y |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
y |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
x |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z))) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z))) |
x |
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z)) |
(neg.f64 (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
(*.f64 z z) |
z |
y |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
(/.f64 (*.f64 (/.f64 x z) y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 y (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
y |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 3.181329670663386 | (/.f64 y (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 6.160907752903028 | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.9624099897213683 | (/.f64 (*.f64 (/.f64 x z) y) z) | |
| accuracy | 5.164221940332361 | (*.f64 (/.f64 x z) y) | |
| accuracy | 13.488250811126242 | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) | |
| accuracy | 0.0 | (neg.f64 (*.f64 z z)) | |
| accuracy | 3.567195644124992 | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) | |
| accuracy | 4.624869475916566 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) | |
| accuracy | 42.63996784750251 | #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 3.181329670663386 | (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 6.160907752903028 | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| accuracy | 22.089745815755652 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 3.567195644124992 | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| accuracy | 4.624869475916566 | (/.f64 x (*.f64 (fma.f64 z z z) z)) |
| 190.0ms | 256× | 0 | valid |
Compiled 171 to 24 computations (86% saved)
ival-mult: 67.0ms (79.3% of total)ival-div: 13.0ms (15.4% of total)ival-add: 3.0ms (3.5% of total)ival-neg: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) |
(neg.f64 (*.f64 z z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
(/.f64 (*.f64 (/.f64 x z) y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (pow z 2)) |
(/ (* x y) z) |
(/ x z) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* z (+ z (pow z 2)))) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
z |
(* z (+ 1 z)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(* -1 (pow z 2)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ y (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | inf | ((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (* (/ x z) y) z) (* (/ x z) y) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z))) |
| 4.0ms | y | @ | 0 | ((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (* (/ x z) y) z) (* (/ x z) y) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z))) |
| 4.0ms | y | @ | inf | ((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (* (/ x z) y) z) (* (/ x z) y) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z))) |
| 3.0ms | z | @ | -inf | ((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (* (/ x z) y) z) (* (/ x z) y) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z))) |
| 3.0ms | x | @ | -inf | ((* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (neg (* z z)) (/ (* (/ x z) y) (+ (* z z) z)) (/ (* (/ x z) y) z) (* (/ x z) y) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 726 |
| 1 | 655 | 665 |
| 2 | 2427 | 588 |
| 0 | 8752 | 572 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ x (* z (+ z (pow z 2)))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (pow z 2)) |
(/ (* x y) z) |
(/ x z) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* z (+ z (pow z 2)))) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
z |
(* z (+ 1 z)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(* -1 (pow z 2)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ y (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3))) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 x z)) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ x z) |
(/.f64 x z) |
(/ y (* (pow z 2) (+ 1 z))) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
(/ y (* z (+ z (pow z 2)))) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 y x (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (neg.f64 z))) (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 x z) x) z) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 y z) y) z) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z) z) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(/ (* x y) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) x) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ x (pow z 3)) |
(/.f64 x (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ y (pow z 3)) |
(/.f64 y (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3))) |
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3))) |
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) (pow z 3))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 y) (/ y z)) z))) z))) (pow z 3))) |
(/.f64 (-.f64 y (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 y z) y) z) y) z)) (pow.f64 z #s(literal 3 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 167 |
| 0 | 45 | 164 |
| 1 | 123 | 158 |
| 2 | 595 | 158 |
| 3 | 5895 | 157 |
| 0 | 8528 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) |
(neg.f64 (*.f64 z z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
(/.f64 (*.f64 (/.f64 x z) y) z) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z)) |
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 y (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z)) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 x z))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 x z))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 y z))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 z z))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) x) |
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) |
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (fma.f64 z z z) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 x (/.f64 (/.f64 y z) (fma.f64 z z z))) |
(/.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) #s(literal 1 binary64)) z) |
(/.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 x (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 y)) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))) |
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(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))) |
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(/.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 x (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 y)) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (pow.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (neg.f64 y)) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) y) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))) |
(fma.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z) (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z))) |
(fma.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) z))) |
(*.f64 (/.f64 (/.f64 y z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z)) |
(*.f64 (/.f64 (/.f64 y z) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z)) |
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z)) |
(*.f64 (/.f64 (neg.f64 y) (+.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z)) |
(*.f64 (/.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) z) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z)) |
(/.f64 (/.f64 (neg.f64 y) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/.f64 (/.f64 y (*.f64 z z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 (/.f64 y z) z) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/.f64 (/.f64 y z) (fma.f64 z z z)) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
(/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (/.f64 (/.f64 y z) (fma.f64 z z z)) #s(literal 1 binary64)) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
(neg.f64 (/.f64 (/.f64 y z) (fma.f64 z z z))) |
Compiled 14 422 to 2 138 computations (85.2% saved)
19 alts after pruning (4 fresh and 15 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 706 | 2 | 708 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 10 | 10 |
| Total | 706 | 19 | 725 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.2% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
| ✓ | 97.0% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| ✓ | 87.2% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 96.0% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 61.0% | (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z) | |
| ✓ | 73.4% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ✓ | 29.8% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
| ✓ | 90.3% | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
| ✓ | 94.3% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| 81.8% | (*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) | |
| ✓ | 86.7% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
| ✓ | 71.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| 31.4% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) | |
| ✓ | 89.7% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| ✓ | 78.7% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| ✓ | 33.3% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
| 61.4% | (*.f64 (*.f64 (/.f64 y z) (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z)) | |
| ✓ | 74.0% | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
| ✓ | 79.4% | #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
Compiled 572 to 262 computations (54.2% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z))) z) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal -1 binary64) z)) z) |
(*.f64 (*.f64 (/.f64 y z) (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z z)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
6 calls:
| 10.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 10.0ms | z |
| 8.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 97.0% | 1 | (*.f64 x y) |
| 97.0% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 97.0% | 1 | x |
| 97.0% | 1 | y |
| 97.0% | 1 | z |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
6 calls:
| 6.0ms | x |
| 5.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 96.0% | 1 | (*.f64 x y) |
| 98.0% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.0% | 1 | x |
| 96.0% | 1 | y |
| 96.0% | 1 | z |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
6 calls:
| 14.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 6.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 94.3% | 1 | (*.f64 x y) |
| 94.3% | 1 | x |
| 94.3% | 1 | z |
| 94.3% | 1 | y |
| 96.8% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
6 calls:
| 92.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 15.0ms | z |
| 6.0ms | x |
| 4.0ms | y |
| 4.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 96.7% | 3 | (*.f64 x y) |
| 94.8% | 3 | x |
| 96.6% | 3 | z |
| 93.2% | 2 | y |
| 94.2% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(*.f64 (/.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 x z)) z) y) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
2 calls:
| 4.0ms | (*.f64 x y) |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 94.3% | 2 | (*.f64 x y) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
3 calls:
| 27.0ms | (*.f64 x y) |
| 3.0ms | z |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | (*.f64 x y) |
| 94.7% | 3 | z |
| 94.7% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) |
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z)) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
6 calls:
| 19.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 84.7% | 3 | z |
| 83.3% | 2 | y |
| 83.0% | 2 | x |
| 82.2% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 83.7% | 2 | (*.f64 x y) |
Compiled 24 to 29 computations (-20.8% saved)
Total -32.3b remaining (-237.3%)
Threshold costs -32.3b (-237.3%)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
| Outputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
6 calls:
| 5.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (*.f64 x y) |
| 2.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 78.7% | 1 | x |
| 78.7% | 1 | z |
| 78.7% | 1 | y |
| 78.7% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 78.7% | 1 | (*.f64 x y) |
Compiled 24 to 29 computations (-20.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0609111692388976e+62 | 2.3210612305446638e+62 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0795527931341196e+35 | 3.329200864504831e+39 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1826718870312177e+96 | 2.5003381262864726e+104 |
| 0.0ms | 8.757706660195474e-179 | 1.0889116715973909e-177 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8509425104994633e-39 | 9.803565095201521e-35 |
| 0.0ms | -1218.8177090154727 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6605690314764384e-193 | 1.4934699431109199e-186 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6203298431338845e-165 | 4.3422507671489446e-164 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 269 |
| 1 | 100 | 269 |
| 2 | 223 | 269 |
| 3 | 677 | 269 |
| 4 | 1526 | 269 |
| 5 | 2370 | 269 |
| 6 | 2888 | 269 |
| 7 | 2888 | 269 |
| 8 | 2888 | 269 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 199999999999999993726732215835951104 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 912488123524439/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 x y) #s(literal 2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -1000 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (<=.f64 (*.f64 x y) #s(literal 2568425733177917/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 199999999999999993726732215835951104 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 912488123524439/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 x y) #s(literal 2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 (*.f64 x y) #s(literal 912488123524439/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) (if (<=.f64 (*.f64 x y) #s(literal 2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -1000 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (or (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -1000 binary64)) (not (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (*.f64 (/.f64 x z) y) z))) |
(if (<=.f64 (*.f64 x y) #s(literal 2568425733177917/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 2568425733177917/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)) |
(if (<=.f64 (*.f64 x y) #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (/ (* (/ x z) y) (+ (* z z) z)) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 162 |
| 0 | 47 | 159 |
| 1 | 134 | 154 |
| 2 | 635 | 154 |
| 3 | 6064 | 154 |
| 0 | 8671 | 154 |
| 0 | 24 | 115 |
| 0 | 40 | 115 |
| 1 | 122 | 113 |
| 2 | 603 | 113 |
| 3 | 6443 | 113 |
| 0 | 8251 | 113 |
| 0 | 138 | 607 |
| 1 | 472 | 552 |
| 2 | 1880 | 487 |
| 3 | 7630 | 487 |
| 0 | 8498 | 472 |
| 0 | 62 | 236 |
| 1 | 207 | 215 |
| 2 | 857 | 193 |
| 3 | 4522 | 183 |
| 0 | 8208 | 179 |
| 0 | 9 | 24 |
| 0 | 14 | 24 |
| 1 | 56 | 24 |
| 2 | 343 | 24 |
| 3 | 3087 | 24 |
| 0 | 9060 | 22 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 691 to 312 computations (54.8% saved)
Compiled 816 to 300 computations (63.2% saved)
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