
Time bar (total: 6.2s)
| 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)
| 710.0ms | 8 256× | 0 | valid |
ival-mult: 253.0ms (60.4% of total)ival-div: 105.0ms (25.1% of total)ival-add: 43.0ms (10.3% of total)ival-true: 6.0ms (1.4% of total)exact: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 58 | 0 | - | 2 | (-3.55305849830694e-186 -1.2166280415366936e-49 3.9046907448469166e-162) | (/.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)))) | n/o | 17 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 78 | |
| ↳ | (*.f64 z z) | overflow | 54 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/u | 13 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 66 | |
| ↳ | (*.f64 z z) | underflow | 66 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/o | 11 | 0 |
| ↳ | (*.f64 x y) | overflow | 34 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 78 | |
| ↳ | (*.f64 z z) | overflow | 54 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/u | 9 | 0 |
| ↳ | (*.f64 x y) | underflow | 29 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 66 | |
| ↳ | (*.f64 z z) | underflow | 66 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/n | 4 | 0 |
| ↳ | (*.f64 x y) | underflow | 29 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/n | 2 | 0 |
| ↳ | (*.f64 x y) | overflow | 34 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 56 | 2 |
| - | 0 | 198 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 56 | 0 | 2 |
| - | 0 | 0 | 198 |
| number | freq |
|---|---|
| 0 | 200 |
| 1 | 56 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-mult: 10.0ms (57.3% of total)ival-div: 3.0ms (17.2% of total)ival-add: 3.0ms (17.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 |
|---|---|---|
| ▶ | 78.5% | (/.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 | 0.04296875 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | |
| accuracy | 13.612215192984502 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 35.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-mult: 5.0ms (59.5% of total)ival-div: 1.0ms (11.9% of total)ival-add: 1.0ms (11.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.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)) |
| 2.0ms | 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 |
|---|---|---|
| 96.3% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| ▶ | 78.5% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ▶ | 96.3% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| ✓ | 78.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ▶ | 66.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ▶ | 88.4% | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
| 47.3% | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) | |
| 88.8% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) | |
| ▶ | 88.9% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
| 73.6% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) | |
| 70.1% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
Compiled 287 to 201 computations (30% 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 (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 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) | |
| 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 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 | 25 | 170 |
| 0 | 39 | 170 |
| 1 | 84 | 167 |
| 2 | 214 | 167 |
| 3 | 655 | 167 |
| 4 | 1411 | 167 |
| 5 | 2184 | 167 |
| 6 | 2586 | 167 |
| 7 | 2692 | 167 |
| 8 | 2723 | 167 |
| 9 | 2741 | 167 |
| 10 | 2743 | 167 |
| 11 | 2981 | 167 |
| 12 | 3589 | 167 |
| 13 | 3957 | 167 |
| 14 | 3957 | 167 |
| 15 | 3957 | 167 |
| 16 | 4136 | 167 |
| 17 | 4255 | 167 |
| 18 | 4447 | 167 |
| 19 | 4447 | 167 |
| 0 | 4447 | 167 |
| 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 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 |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
y |
x |
z |
(fma.f64 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 |
| 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 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)) x) z) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z)) |
(/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
y |
x |
z |
(fma.f64 z z z) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
(/.f64 y (fma.f64 z z z)) |
y |
(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 | 0.14453125 | (/.f64 (/.f64 y (fma.f64 z z z)) z) | |
| accuracy | 6.419932356304494 | (/.f64 y (fma.f64 z z z)) | |
| accuracy | 6.440651289416541 | (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.0 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) | |
| accuracy | 2.082425000432752 | (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)) | |
| accuracy | 5.611766005573182 | (/.f64 (*.f64 y x) z) | |
| 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 | 13.612215192984502 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 13.612215192984502 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 25.488263509617344 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.6591989664737397 | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) | |
| accuracy | 4.998920334684963 | (*.f64 x (/.f64 y (fma.f64 z z z))) | |
| accuracy | 6.419932356304494 | (/.f64 y (fma.f64 z z z)) |
| 44.0ms | 256× | 0 | valid |
Compiled 166 to 22 computations (86.7% saved)
ival-mult: 12.0ms (47.1% of total)ival-div: 10.0ms (39.2% of total)ival-add: 2.0ms (7.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.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 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) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (/.f64 y (fma.f64 z 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 y) |
(/ (* x y) z) |
(/ y (+ z (pow z 2))) |
(/ y (* z (+ z (pow z 2)))) |
(/ (* 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)) |
(/ (+ (* -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)) |
(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)) |
(/ (* 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 (* -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))) |
(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)) |
(* -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 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))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | ((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) 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) (/ (* x y) (* (* z z) (+ z 1))) (/ (/ (* y x) z) (+ (* z z) z)) (/ (* y x) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z)) |
| 5.0ms | z | @ | -inf | ((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) 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) (/ (* x y) (* (* z z) (+ z 1))) (/ (/ (* y x) z) (+ (* z z) z)) (/ (* y x) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z 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 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) (/ (* x y) (* (* z z) (+ z 1))) (/ (/ (* y x) z) (+ (* z z) z)) (/ (* y x) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z 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 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) (/ (* x y) (* (* z z) (+ z 1))) (/ (/ (* y x) z) (+ (* z z) z)) (/ (* y x) z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z)) |
| 3.0ms | x | @ | -inf | ((/ (* x (/ y (+ (* z z) z))) z) (* x (/ y (+ (* z z) z))) (/ y (+ (* z z) 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) (/ (* x y) (* (* z z) (+ z 1))) (/ (/ (* y x) z) (+ (* z z) 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 | 154 | 781 |
| 1 | 534 | 684 |
| 2 | 2119 | 617 |
| 0 | 8513 | 597 |
| 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 y) |
(/ (* x y) z) |
(/ y (+ z (pow z 2))) |
(/ y (* z (+ z (pow z 2)))) |
(/ (* 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)) |
(/ (+ (* -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)) |
(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)) |
(/ (* 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 (* -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))) |
(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)) |
(* -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 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))) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ y (+ z (pow z 2))) |
(/.f64 y (fma.f64 z z z)) |
(/ y (* z (+ z (pow z 2)))) |
(/.f64 (/.f64 y (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 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 x z) y) (*.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 x z) y) (*.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) |
(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) |
(/ (* 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 (/.f64 (-.f64 y (/.f64 y z)) z) y)) 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 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) 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 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (*.f64 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 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 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) z) z) |
(* (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 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) (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 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) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) 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 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (*.f64 z z)) |
(/ (+ 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 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) 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 (/.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 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) (pow.f64 z #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 134 |
| 0 | 39 | 134 |
| 1 | 128 | 131 |
| 2 | 648 | 131 |
| 3 | 6872 | 131 |
| 0 | 8552 | 131 |
| 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 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) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 x z) z) y) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) |
(*.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 (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 x z) z) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z 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 (*.f64 y (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (fma.f64 z z (pow.f64 z #s(literal 4 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 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (*.f64 (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 (*.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 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 z z z) (/.f64 x z))) |
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(*.f64 (/.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 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 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) |
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) z) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) z)) |
(*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 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 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (*.f64 z z))) |
(/.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (*.f64 z z)) |
(/.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/.f64 (/.f64 (/.f64 y z) z) (+.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 (/.f64 y z) z) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 y z) (fma.f64 z z z)) |
(/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(/.f64 (neg.f64 y) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) #s(literal 1 binary64)) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
(neg.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
Compiled 21 846 to 2 486 computations (88.6% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 927 | 10 | 937 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 930 | 18 | 948 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.3% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
| ✓ | 78.5% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 96.3% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| 71.4% | (/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) | |
| ✓ | 78.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 66.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| 26.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) | |
| 64.7% | (/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 y (-.f64 (/.f64 x z) x))) z) | |
| 47.3% | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) | |
| ▶ | 88.8% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| ▶ | 64.6% | (*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
| 80.0% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| 67.1% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| 80.7% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| ▶ | 72.1% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| 85.4% | (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) | |
| ▶ | 73.6% | #s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
| ✓ | 88.9% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
Compiled 430 to 302 computations (29.8% 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 z) | |
| cost-diff | 0 | #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y 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 z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 177 |
| 0 | 42 | 177 |
| 1 | 84 | 174 |
| 2 | 188 | 174 |
| 3 | 561 | 174 |
| 4 | 1165 | 174 |
| 5 | 2254 | 174 |
| 6 | 2850 | 174 |
| 7 | 3048 | 174 |
| 8 | 3099 | 174 |
| 9 | 3117 | 174 |
| 10 | 3119 | 174 |
| 11 | 3509 | 174 |
| 12 | 3857 | 174 |
| 13 | 3857 | 174 |
| 14 | 3857 | 174 |
| 15 | 4006 | 174 |
| 16 | 4006 | 174 |
| 0 | 4006 | 174 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
(*.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 |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 x z) |
x |
z |
(/.f64 y z) |
y |
(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) |
#s(approx (/ y (+ (* z z) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
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)) |
x |
(fma.f64 z z z) |
z |
y |
| Outputs |
|---|
(/.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 x (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(fma.f64 z z z) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(/.f64 (*.f64 x y) #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 |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (/.f64 (*.f64 x (/.f64 y z)) z)) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (*.f64 x (/.f64 y z)) z) |
(/.f64 x z) |
x |
z |
(/.f64 y z) |
y |
(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) (/.f64 x z)) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) |
#s(approx (/ y (+ (* z z) z)) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(*.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 (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 | 0.109375 | (/.f64 (/.f64 x (fma.f64 z z z)) z) | |
| accuracy | 1.040847463162526 | (/.f64 x (fma.f64 z z z)) | |
| accuracy | 6.80167360634993 | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.14453125 | (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) | |
| accuracy | 6.440651289416541 | (*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) | |
| accuracy | 28.280696985565275 | #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 2.2206463139964687 | (*.f64 (/.f64 x z) (/.f64 y z)) | |
| accuracy | 17.470751711830307 | #s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 6.80167360634993 | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) | |
| accuracy | 8.25762489778821 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 25.488263509617344 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 2.082425000432752 | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| accuracy | 4.1086568954098635 | (*.f64 (/.f64 y z) x) |
| 51.0ms | 256× | 0 | valid |
Compiled 157 to 25 computations (84.1% saved)
ival-div: 22.0ms (60.5% of total)ival-mult: 11.0ms (30.2% of total)ival-add: 2.0ms (5.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y 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) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 x z) |
(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) |
#s(approx (/ y (+ (* z z) z)) (/.f64 y 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)) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (pow z 2)) |
(/ x z) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (+ z (pow z 2))) |
(/ y z) |
(/ y (* z (+ 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)) |
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)) |
(/ 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 (* -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)) |
(* (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))) |
(/ 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)) |
(/ (+ 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)) (* -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 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)) |
(* -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 | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y 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))) z) (* (/ x z) (/ y z)) (/ x z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 5.0ms | y | @ | inf | ((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y 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))) z) (* (/ x z) (/ y z)) (/ x z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 4.0ms | x | @ | -inf | ((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y 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))) z) (* (/ x z) (/ y z)) (/ x z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 3.0ms | x | @ | inf | ((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y 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))) z) (* (/ x z) (/ y z)) (/ x z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z))) |
| 3.0ms | y | @ | -inf | ((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y 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))) z) (* (/ x z) (/ y z)) (/ x z) (* (/ (/ y (+ (* z z) z)) z) x) (/ (/ y (+ (* z z) z)) z) (/ y (+ (* z z) z)) (* (/ (/ 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 | 211 | 936 |
| 1 | 730 | 829 |
| 2 | 2702 | 762 |
| 0 | 8472 | 741 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (pow z 2)) |
(/ x z) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (+ z (pow z 2))) |
(/ y z) |
(/ y (* z (+ 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)) |
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)) |
(/ 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 (* -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)) |
(* (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))) |
(/ 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)) |
(/ (+ 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)) (* -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 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)) |
(* -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 y (fma.f64 z z z)) (/.f64 x z)) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ (* x y) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x y) z) z) |
(/ x z) |
(/.f64 x z) |
(/ 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) |
(/.f64 y z) |
(/ 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)) |
(/ (+ (* -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 (fma.f64 x y (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) (neg.f64 z))) (*.f64 z 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) |
(/ 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) |
(/.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) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* z (- (* x z) x))) z) |
(/.f64 (fma.f64 (-.f64 (*.f64 x z) 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 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 x y (/.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) |
(/ 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) |
(/ 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)) |
(/ (+ 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 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 x y (/.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 x y (/.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 (/ (- (/ 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) (/ 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)) |
(* -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 | 28 | 152 |
| 0 | 42 | 152 |
| 1 | 126 | 149 |
| 2 | 653 | 149 |
| 3 | 6586 | 149 |
| 0 | 8206 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y 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) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 x z) |
(*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) |
#s(approx (/ y (+ (* z z) z)) (/.f64 y 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)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.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 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 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 x (/.f64 y z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (/.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 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 x y) (-.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 (*.f64 x y) (-.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 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.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 x) #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z z)) |
(*.f64 (*.f64 (/.f64 x z) (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 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 4 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 x (fma.f64 z z (pow.f64 z #s(literal 4 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 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x 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))) z)) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 z 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))) |
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(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z))) |
Compiled 11 264 to 1 494 computations (86.7% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 528 | 5 | 533 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 531 | 20 | 551 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.3% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
| 22.7% | (/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) | |
| 71.4% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) | |
| ✓ | 78.5% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 96.3% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| ✓ | 78.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 66.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ▶ | 26.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
| 47.3% | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) | |
| ✓ | 88.8% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| ✓ | 64.6% | (*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
| ▶ | 80.0% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
| ▶ | 67.1% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| 80.7% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| ✓ | 72.1% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| 30.7% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) | |
| ▶ | 85.4% | (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) |
| ▶ | 78.1% | (*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
| 67.4% | #s(approx (/ (* x (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) | |
| ✓ | 88.9% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
Compiled 456 to 321 computations (29.6% 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) z) | |
| cost-diff | 0 | #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) | |
| 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 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 #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 y (fma.f64 z z #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) | |
| cost-diff | 4 | (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 218 |
| 0 | 50 | 218 |
| 1 | 101 | 211 |
| 2 | 281 | 211 |
| 3 | 1124 | 203 |
| 4 | 3939 | 203 |
| 0 | 8071 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) |
(/.f64 y (fma.f64 z z #s(literal -1 binary64))) |
y |
(fma.f64 z z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
(/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z)) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z z) |
x |
(*.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 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 |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
#s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 x z) z) |
(/.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 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) |
(*.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 z z z) z)) |
(/.f64 y (fma.f64 z z #s(literal -1 binary64))) |
y |
(fma.f64 z z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
(/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z)) |
(/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z z) |
x |
(*.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 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 y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z))) |
(*.f64 x y) |
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 |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
#s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
(/.f64 (/.f64 y z) (fma.f64 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 | 6.440651289416541 | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) | |
| accuracy | 7.643913728216852 | (/.f64 y (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 x z) z) | |
| accuracy | 6.80167360634993 | (*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) | |
| accuracy | 11.007595367962736 | #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 0.0 | (neg.f64 (*.f64 z z)) | |
| accuracy | 13.612215192984502 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) | |
| accuracy | 37.251766536324496 | #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 6.440651289416541 | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| accuracy | 7.643913728216852 | (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 25.488263509617344 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 1.9689206414911027 | (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) | |
| accuracy | 6.412119856304494 | (/.f64 y (fma.f64 z z #s(literal -1 binary64))) | |
| accuracy | 6.440651289416541 | (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) | |
| accuracy | 12.703783982126328 | (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z)) |
| 54.0ms | 256× | 0 | valid |
Compiled 194 to 29 computations (85.1% saved)
ival-mult: 15.0ms (42.7% of total)ival-div: 12.0ms (34.2% of total)ival-add: 5.0ms (14.2% of total)ival-sub: 1.0ms (2.8% of total)ival-neg: 1.0ms (2.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) |
(/.f64 y (fma.f64 z z #s(literal -1 binary64))) |
(fma.f64 z z #s(literal -1 binary64)) |
(*.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 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)) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
#s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
(/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z)) |
| Outputs |
|---|
(/ (* x (* y (- z 1))) (* (pow z 2) (- (pow z 2) 1))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (pow z 2)) |
(/ x z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* y (- z 1)) (* (pow z 2) (- (pow z 2) 1))) |
(/ y (- (pow z 2) 1)) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* z (+ z (pow z 2)))) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/ (+ y (* z (+ (* -1 y) (* y z)))) (pow z 2)) |
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2)) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) (pow z 2)) |
(* -1 y) |
(+ (* -1 y) (* -1 (* y (pow z 2)))) |
(+ (* -1 y) (* (pow z 2) (- (* -1 (* y (pow z 2))) y))) |
(+ (* -1 y) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* y (pow z 2))) y)) y))) |
-1 |
(- (pow z 2) 1) |
(/ (+ (* 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)) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* -1 (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)) |
z |
(* z (+ 1 z)) |
(/ -1 (pow z 2)) |
(/ (- z 1) (pow z 2)) |
(/ y (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/ (+ y (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 3)) |
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 3)) |
(/ (+ y (/ y (pow z 2))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 4))) (* -1 (/ y (pow z 2)))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 6))) (+ (* -1 (/ y (pow z 2))) (* -1 (/ y (pow z 4))))) (pow z 2)) |
(* (pow z 2) (- 1 (/ 1 (pow z 2)))) |
(/ (- (+ (* 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)) |
(/ (- (+ 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)) |
(pow z 3) |
(* (pow z 3) (+ 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 2) (+ 1 (/ 1 z))) |
(/ 1 z) |
(/ (- 1 (/ 1 z)) z) |
(* -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))) |
(* -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) (* -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) (/ 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 z) 1) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | ((* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) x) (/ y (+ (* z z) -1)) (+ (* z z) -1) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* 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 z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (/ (- z 1) (* z z))) |
| 8.0ms | y | @ | -inf | ((* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) x) (/ y (+ (* z z) -1)) (+ (* z z) -1) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* 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 z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (/ (- z 1) (* z z))) |
| 4.0ms | x | @ | -inf | ((* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) x) (/ y (+ (* z z) -1)) (+ (* z z) -1) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* 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 z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (/ (- z 1) (* z z))) |
| 4.0ms | y | @ | 0 | ((* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) x) (/ y (+ (* z z) -1)) (+ (* z z) -1) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* 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 z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (/ (- z 1) (* z z))) |
| 4.0ms | y | @ | inf | ((* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) (* z z))) x) (/ y (+ (* z z) -1)) (+ (* z z) -1) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* 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 z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (/ (/ x z) z) (/ x z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (/ (- z 1) (* z z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 1048 |
| 1 | 837 | 941 |
| 2 | 3041 | 853 |
| 0 | 8638 | 825 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (* y (- z 1))) (* (pow z 2) (- (pow z 2) 1))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ x (pow z 2)) |
(/ x z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* y (- z 1)) (* (pow z 2) (- (pow z 2) 1))) |
(/ y (- (pow z 2) 1)) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y (* z (+ z (pow z 2)))) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (* y z))) (pow z 2)) |
(/ (+ y (* z (+ (* -1 y) (* y z)))) (pow z 2)) |
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) (pow z 2)) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2)) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) (pow z 2)) |
(* -1 y) |
(+ (* -1 y) (* -1 (* y (pow z 2)))) |
(+ (* -1 y) (* (pow z 2) (- (* -1 (* y (pow z 2))) y))) |
(+ (* -1 y) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* y (pow z 2))) y)) y))) |
-1 |
(- (pow z 2) 1) |
(/ (+ (* 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)) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(* -1 (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)) |
z |
(* z (+ 1 z)) |
(/ -1 (pow z 2)) |
(/ (- z 1) (pow z 2)) |
(/ y (pow z 3)) |
(/ (+ y (* -1 (/ y z))) (pow z 3)) |
(/ (+ y (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 3)) |
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 3)) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 3)) |
(/ (+ y (/ y (pow z 2))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 4))) (* -1 (/ y (pow z 2)))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 6))) (+ (* -1 (/ y (pow z 2))) (* -1 (/ y (pow z 4))))) (pow z 2)) |
(* (pow z 2) (- 1 (/ 1 (pow z 2)))) |
(/ (- (+ (* 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)) |
(/ (- (+ 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)) |
(pow z 3) |
(* (pow z 3) (+ 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 2) (+ 1 (/ 1 z))) |
(/ 1 z) |
(/ (- 1 (/ 1 z)) z) |
(* -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))) |
(* -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) (* -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) (/ 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 z) 1) z)) |
| Outputs |
|---|
(/ (* x (* y (- z 1))) (* (pow z 2) (- (pow z 2) 1))) |
(*.f64 (/.f64 x (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 y (/.f64 y z)) z)) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(* x y) |
(*.f64 x y) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* y (- z 1)) (* (pow z 2) (- (pow z 2) 1))) |
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) (fma.f64 z z #s(literal -1 binary64))) |
(/ y (- (pow z 2) 1)) |
(/.f64 y (fma.f64 z z #s(literal -1 binary64))) |
(/ y (* (pow z 2) (+ 1 z))) |
(/.f64 (/.f64 y (fma.f64 z z z)) z) |
(/ y (* z (+ z (pow z 2)))) |
(/.f64 (/.f64 y (fma.f64 z 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 (+ (* -1 y) (* y z)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) z y) z) z) |
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 y) z y)) (*.f64 z z)) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 x (/.f64 (-.f64 (/.f64 y z) y) z)) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) z y)) z) z) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) (*.f64 z z)) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* -1 (* y (pow z 2)))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)) |
(+ (* -1 y) (* (pow z 2) (- (* -1 (* y (pow z 2))) y))) |
(fma.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)) (*.f64 z z) (neg.f64 y)) |
(+ (* -1 y) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* y (pow z 2))) y)) y))) |
(-.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 z y) z y) (*.f64 z z) y) (*.f64 z z))) y) |
-1 |
#s(literal -1 binary64) |
(- (pow z 2) 1) |
(fma.f64 z z #s(literal -1 binary64)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) z y)) z) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) (*.f64 z z)) |
(/ (+ y (* z (- (* y z) y))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) z y) z) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 y) z y)) (*.f64 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 (* -1 (* x z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 x z) x) z) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z x) z) z) |
(/ (+ 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) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/ (- z 1) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) 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 (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 3)) |
(/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (* 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 x (-.f64 y (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (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) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 3)) |
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (/ y (pow z 2))) (pow z 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 y (*.f64 z z)) y) z) z) |
(/ (- (+ y (/ y (pow z 4))) (* -1 (/ y (pow z 2)))) (pow z 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 y (*.f64 z z)) y) z) z) y) z) z) |
(/ (- (+ y (/ y (pow z 6))) (+ (* -1 (/ y (pow z 2))) (* -1 (/ y (pow z 4))))) (pow z 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) y) (/.f64 (/.f64 (+.f64 (/.f64 y (*.f64 z z)) y) z) z)) (*.f64 z z)) |
(* (pow z 2) (- 1 (/ 1 (pow z 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) z) z) |
(/ (- (+ (* 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 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) 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))) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z 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 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ (- 1 (/ 1 z)) z) |
(/.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) |
(* -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))) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(/.f64 (*.f64 x (-.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 x y (/.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 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) 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 z) y) z)) 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))) |
(* -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 z) 1) z)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 192 |
| 0 | 50 | 192 |
| 1 | 160 | 185 |
| 2 | 978 | 183 |
| 0 | 9705 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) |
(/.f64 y (fma.f64 z z #s(literal -1 binary64))) |
(fma.f64 z z #s(literal -1 binary64)) |
(*.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 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)) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
#s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
(/.f64 y (*.f64 (fma.f64 z z z) z)) |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
(/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 z z)) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (/.f64 y (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (/.f64 y z)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))) (/.f64 y (*.f64 z z))) |
(*.f64 (/.f64 y (*.f64 z z)) (/.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 z z))) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 (fma.f64 z z z) z))) |
(*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (-.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (fma.f64 z z z) z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (/.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z)) |
(*.f64 y (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 8 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z)) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) z) (-.f64 z #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z) (-.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z) (-.f64 z #s(literal 1 binary64))) z) |
(/.f64 (*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z) (fma.f64 z z #s(literal -1 binary64))) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal -4 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (-.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal -6 binary64)))) (+.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 z z z) z)) (pow.f64 z #s(literal 4 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64))) z)) z) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (/.f64 y (fma.f64 z z #s(literal -1 binary64))))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (neg.f64 y))) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) z)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(/.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) z)) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64))) z) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) z) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) z) z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (neg.f64 y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) y) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) z) (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 z z)) |
(/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64))) z) z)) |
(neg.f64 (/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64))) (*.f64 z z))) |
(neg.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) (*.f64 (neg.f64 z) z))) |
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (/.f64 y (fma.f64 z z #s(literal 1 binary64))))) |
(neg.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z))) |
(neg.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z z #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z z #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (/.f64 x z)) (/.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) (/.f64 x z)) (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) z) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 x (/.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (*.f64 x (/.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) |
(*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 1 binary64) z) z)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 (fma.f64 z z z) z))) |
(*.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) z)) |
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(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (fma.f64 z z z) z)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 z z z) z))) |
(-.f64 (/.f64 (*.f64 z z) (*.f64 (fma.f64 z z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (fma.f64 z z z) z))) |
(-.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 z) z)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))) |
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 z #s(literal 1 binary64)))) (*.f64 (neg.f64 z) z)) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))) |
(-.f64 (/.f64 z (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) |
(-.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64))) |
(+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (fma.f64 z z z) z)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (*.f64 (fma.f64 z z z) z))) |
(+.f64 (/.f64 (*.f64 z z) (*.f64 (fma.f64 z z z) z)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (/.f64 (*.f64 z z) (*.f64 (fma.f64 z z z) z))) |
(+.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64))) |
Compiled 18 019 to 2 999 computations (83.4% saved)
23 alts after pruning (10 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 862 | 4 | 866 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 9 | 9 |
| Total | 863 | 23 | 886 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.3% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
| 22.7% | (/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) | |
| 71.4% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) | |
| ✓ | 78.5% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 96.3% | (/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
| ✓ | 78.5% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 66.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ✓ | 26.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) |
| 80.0% | (*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) x)) | |
| 47.3% | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) | |
| ✓ | 88.8% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| ✓ | 64.6% | (*.f64 (/.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
| ✓ | 80.0% | (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
| 28.9% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (neg.f64 z) z))) x) | |
| ✓ | 67.1% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| 80.7% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| 80.1% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) z))) | |
| ✓ | 72.1% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| 30.7% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (neg.f64 (*.f64 z z)))) y) | |
| 59.5% | (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(approx (/ (- z 1) (* z z)) (/.f64 #s(literal 1 binary64) z))) x) | |
| ✓ | 78.1% | (*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
| 67.4% | #s(approx (/ (* x (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) | |
| ✓ | 88.9% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
Compiled 797 to 356 computations (55.3% 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)) (*.f64 (neg.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 (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
(*.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 (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(*.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 y z) x) (fma.f64 z z z)) |
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) #s(approx (/ (- z 1) (* z z)) (/.f64 #s(literal 1 binary64) z))) x) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 z z))) x) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z #s(literal 1 binary64)) z)) (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) x)) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
6 calls:
| 106.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 10.0ms | x |
| 8.0ms | z |
| 8.0ms | y |
| 7.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 96.3% | 1 | (*.f64 x y) |
| 96.3% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.3% | 1 | x |
| 96.3% | 1 | y |
| 96.3% | 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)) (*.f64 (neg.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 (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
(*.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 (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
6 calls:
| 8.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | z |
| 6.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 97.6% | 3 | (*.f64 x y) |
| 95.2% | 3 | x |
| 95.3% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.0% | 3 | y |
| 97.1% | 3 | 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)) (*.f64 (neg.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 (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
(*.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 (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
1 calls:
| 6.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (*.f64 x y) |
Compiled 3 to 4 computations (-33.3% 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)) (*.f64 (neg.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 (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
(*.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 (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
1 calls:
| 6.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | (*.f64 x y) |
Compiled 3 to 4 computations (-33.3% 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)) (*.f64 (neg.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 (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
(*.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 (/ y (+ (* z z) z)) (/.f64 y z)) z) x) |
(/.f64 (*.f64 x #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 y z)) x) z) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ y (+ (* z z) z)) (/.f64 y z))) z) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) |
(/.f64 #s(approx (* x (/ y (+ (* z z) z))) (*.f64 y (-.f64 (/.f64 x z) x))) z) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) |
6 calls:
| 11.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 9.0ms | (*.f64 x y) |
| 6.0ms | x |
| 5.0ms | z |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | x |
| 87.0% | 2 | y |
| 88.4% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 91.3% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 91.4% | 3 | z |
| 89.7% | 3 | (*.f64 x y) |
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)) (*.f64 (neg.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 (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
(*.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) |
4 calls:
| 5.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 3.0ms | z |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 2 | (*.f64 x y) |
| 86.3% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 89.2% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 89.3% | 3 | z |
Compiled 22 to 23 computations (-4.5% 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)) (*.f64 (neg.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 (/ y (+ (* z z) z))) z) #s(approx (* (/ x z) (/ y z)) (/.f64 (/.f64 (*.f64 x y) z) z))) |
#s(approx (/ (* x (/ y (+ (* z z) z))) z) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)) y) |
| 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:
| 6.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 1 | x |
| 78.1% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 80.2% | 2 | y |
| 81.4% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 78.1% | 1 | z |
| 80.4% | 2 | (*.f64 x y) |
Compiled 24 to 29 computations (-20.8% saved)
Total -29.7b remaining (-166.4%)
Threshold costs -29.7b (-166.4%)
| 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)) (*.f64 (neg.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:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (*.f64 x y) |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 1 | x |
| 72.1% | 1 | z |
| 72.1% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 72.1% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 72.1% | 1 | y |
| 72.1% | 1 | (*.f64 x y) |
Compiled 24 to 29 computations (-20.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1246624484677785e+247 | 7.73588775399334e+249 |
| 0.0ms | 1.161387958924e-311 | 1.3698382708673062e-305 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6956282134562593e+306 | +inf |
| 0.0ms | 1.161387958924e-311 | 1.3698382708673062e-305 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6956282134562593e+306 | +inf |
| 0.0ms | 1.161387958924e-311 | 1.3698382708673062e-305 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.866760912281617e-17 | 9405.857501306738 |
| 14.0ms | -1.7175875146960201e-53 | -1.6595114651417646e-54 |
| 20.0ms | 272× | 0 | valid |
Compiled 507 to 389 computations (23.3% saved)
ival-mult: 10.0ms (74.8% of total)ival-div: 2.0ms (15% of total)ival-add: 1.0ms (7.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9400696364184453e-146 | 2.2166536602935378e-141 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9400696364184453e-146 | 2.2166536602935378e-141 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 333 |
| 1 | 90 | 333 |
| 2 | 198 | 333 |
| 3 | 651 | 333 |
| 4 | 1511 | 333 |
| 5 | 2350 | 333 |
| 6 | 2866 | 333 |
| 7 | 2866 | 333 |
| 8 | 2866 | 333 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 y (fma.f64 z z z))) z) |
(if (<=.f64 (*.f64 x y) #s(literal 2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) (if (<=.f64 (*.f64 x y) #s(literal 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x))) |
(if (<=.f64 (*.f64 x y) #s(literal 2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) (if (<=.f64 (*.f64 x y) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))) |
(if (<=.f64 (*.f64 x y) #s(literal 2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) (if (<=.f64 (*.f64 x y) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 z #s(literal -336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 1298074214633707/10141204801825835211973625643008 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (<=.f64 (*.f64 x y) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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 x (/.f64 y (fma.f64 z z z))) z) |
(if (<=.f64 (*.f64 x y) #s(literal 2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) (if (<=.f64 (*.f64 x y) #s(literal 19999999999999999042943898584577627210672650772505466848487442240115469688899487215981329357961462820572091693694875828215901850281511913037194533151440339824999916850618391401330231357640700542387220923023397191454763848595979444663933846679453696 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) (*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x))) |
(if (<=.f64 (*.f64 x y) #s(literal 2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) (if (<=.f64 (*.f64 x y) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))) |
(if (<=.f64 (*.f64 x y) #s(literal 2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y))) (if (<=.f64 (*.f64 x y) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (/.f64 (*.f64 y x) z) (fma.f64 z z z))) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))) |
(if (<=.f64 z #s(literal -336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 1298074214633707/10141204801825835211973625643008 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x))) |
(if (or (<=.f64 z #s(literal -336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (not (<=.f64 z #s(literal 1298074214633707/10141204801825835211973625643008 binary64)))) (*.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))) |
(if (<=.f64 (*.f64 x y) #s(literal 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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 8997827589086393/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 134 |
| 0 | 39 | 134 |
| 1 | 128 | 131 |
| 2 | 648 | 131 |
| 3 | 6872 | 131 |
| 0 | 8552 | 131 |
| 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 |
Compiled 333 to 62 computations (81.4% saved)
Compiled 1 130 to 350 computations (69% saved)
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