
Time bar (total: 7.4s)
| 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)
| 503.0ms | 8 256× | 0 | valid |
ival-mult: 183.0ms (62% of total)ival-div: 55.0ms (18.6% of total)ival-add: 42.0ms (14.2% of total)ival-true: 6.0ms (2% of total)exact: 5.0ms (1.7% of total)ival-assert: 4.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 44 | 0 | - | 1 | (1.7888598739293996e+74 2.606783929174938e-126 3.613118863992492e-157) | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/u | 11 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 68 | |
| ↳ | (*.f64 z z) | underflow | 68 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/o | 9 | 0 |
| ↳ | (*.f64 x y) | overflow | 28 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 90 | |
| ↳ | (*.f64 z z) | overflow | 72 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/u | 9 | 0 |
| ↳ | (*.f64 x y) | underflow | 33 | |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | underflow | 68 | |
| ↳ | (*.f64 z z) | underflow | 68 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | n/o | 6 | 0 |
| ↳ | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | overflow | 90 | |
| ↳ | (*.f64 z z) | overflow | 72 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | u/n | 6 | 0 |
| ↳ | (*.f64 x y) | underflow | 33 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) | o/n | 2 | 0 |
| ↳ | (*.f64 x y) | overflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 43 | 1 |
| - | 0 | 212 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 43 | 0 | 1 |
| - | 0 | 0 | 212 |
| number | freq |
|---|---|
| 0 | 213 |
| 1 | 43 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 512× | 0 | valid |
Compiled 77 to 31 computations (59.7% saved)
ival-mult: 10.0ms (60.5% of total)ival-div: 3.0ms (18.1% of total)ival-add: 3.0ms (18.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 110 |
| 1 | 145 | 103 |
| 2 | 738 | 101 |
| 3 | 3668 | 99 |
| 4 | 6136 | 99 |
| 5 | 6961 | 99 |
| 6 | 7157 | 99 |
| 7 | 7175 | 99 |
| 8 | 7181 | 99 |
| 9 | 7181 | 99 |
| 10 | 7740 | 99 |
| 11 | 7902 | 99 |
| 12 | 7954 | 99 |
| 13 | 7954 | 99 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 38 | 11 |
| 2 | 143 | 11 |
| 3 | 591 | 11 |
| 4 | 1369 | 11 |
| 5 | 2480 | 11 |
| 6 | 2919 | 11 |
| 7 | 3050 | 11 |
| 8 | 3058 | 11 |
| 9 | 3058 | 11 |
| 10 | 3422 | 11 |
| 11 | 3738 | 11 |
| 12 | 3738 | 11 |
| 13 | 3738 | 11 |
| 14 | 3894 | 11 |
| 15 | 3894 | 11 |
| 0 | 3894 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(negabs y)
(negabs x)
(sort x y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.9% | (/.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 | 0.06640625 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) | |
| accuracy | 10.17328122638328 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 15.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-mult: 5.0ms (63.9% of total)ival-div: 1.0ms (12.8% of total)ival-add: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 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 | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 2.0ms | y | @ | -inf | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 1.0ms | x | @ | 0 | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 1.0ms | x | @ | -inf | ((* (* z z) (+ z 1)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* z z)) |
| 1.0ms | y | @ | 0 | ((* (* 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)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 258 | 8 | 266 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 9 | 267 |
| Status | Accuracy | Program |
|---|---|---|
| 96.1% | (/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) | |
| ▶ | 96.7% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| ▶ | 83.9% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 83.9% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ▶ | 67.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ▶ | 51.7% | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
| ▶ | 93.6% | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| 96.6% | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) | |
| 74.1% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
Compiled 201 to 145 computations (27.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 (/.f64 y z) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) | |
| 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 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 148 |
| 0 | 45 | 148 |
| 1 | 87 | 146 |
| 2 | 201 | 146 |
| 3 | 660 | 146 |
| 4 | 1559 | 146 |
| 5 | 2781 | 146 |
| 6 | 3928 | 146 |
| 7 | 4157 | 146 |
| 8 | 4222 | 146 |
| 9 | 4266 | 146 |
| 10 | 4268 | 146 |
| 11 | 4476 | 146 |
| 12 | 4492 | 146 |
| 13 | 4492 | 146 |
| 14 | 4492 | 146 |
| 15 | 4492 | 146 |
| 16 | 5129 | 146 |
| 17 | 5813 | 146 |
| 18 | 6125 | 146 |
| 19 | 6365 | 146 |
| 20 | 6533 | 146 |
| 21 | 6605 | 146 |
| 22 | 6605 | 146 |
| 23 | 6605 | 146 |
| 24 | 6605 | 146 |
| 25 | 6605 | 146 |
| 26 | 6605 | 146 |
| 27 | 6605 | 146 |
| 0 | 6605 | 146 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (/.f64 (/.f64 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 |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
y |
z |
(/.f64 x (+.f64 #s(literal -1 binary64) z)) |
x |
(+.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (/.f64 x z) y) |
(*.f64 y (/.f64 x z)) |
(/.f64 x z) |
x |
z |
y |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(/.f64 (*.f64 y x) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 y x) |
y |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
x |
(fma.f64 z z z) |
z |
y |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
y |
z |
(/.f64 x (+.f64 #s(literal -1 binary64) z)) |
x |
(+.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 y z) z) | |
| accuracy | 6.901043721357545 | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.09375 | (/.f64 (/.f64 x (fma.f64 z z z)) z) | |
| accuracy | 0.5127267370566245 | (/.f64 x (fma.f64 z z z)) | |
| accuracy | 3.83684663650392 | (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.0703125 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 10.17328122638328 | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 10.17328122638328 | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 25.402289852384047 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 1.8011233350080365 | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) | |
| accuracy | 7.008125237053519 | (*.f64 (/.f64 x z) y) |
| 45.0ms | 256× | 0 | valid |
Compiled 151 to 27 computations (82.1% saved)
ival-div: 14.0ms (47.9% of total)ival-mult: 11.0ms (37.7% of total)ival-add: 4.0ms (13.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 y x) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
(/.f64 x (+.f64 #s(literal -1 binary64) z)) |
(+.f64 #s(literal -1 binary64) z) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (+ z (pow z 2))) |
(/ (* x y) (* (pow z 2) (- z 1))) |
(/ x (- z 1)) |
(/ y (pow z 2)) |
(/ y z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
z |
(* z (+ 1 z)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ 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)) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* z (- (* x z) x))) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
(* -1 (/ (* x y) (pow z 2))) |
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2)) |
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2)) |
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2)) |
(* -1 x) |
(+ (* -1 x) (* -1 (* x z))) |
(+ (* -1 x) (* z (- (* -1 (* x z)) x))) |
(+ (* -1 x) (* z (- (* z (- (* -1 (* x z)) x)) x))) |
-1 |
(- z 1) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ 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)) |
(/ (+ 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)) |
(/ (+ (* x y) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3)) |
(/ (+ x (/ x z)) z) |
(/ (- (+ x (/ x (pow z 2))) (* -1 (/ x z))) z) |
(/ (- (+ x (/ x (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z) |
(* z (- 1 (/ 1 z))) |
(* -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 (/ (+ (* -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)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) z)) |
(* -1 (* z (- (/ 1 z) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | z | @ | 0 | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z)) |
| 7.0ms | y | @ | inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z)) |
| 6.0ms | x | @ | 0 | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z)) |
| 5.0ms | x | @ | -inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z)) |
| 4.0ms | x | @ | inf | ((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (/ (* y x) (* (+ (* z z) z) z)) (* y x) (* (+ (* z z) z) z) (* (/ (/ x (+ (* z z) z)) z) y) (/ (/ x (+ (* z z) z)) z) (/ x (+ (* z z) z)) (* (/ (/ y z) z) (/ x (+ -1 z))) (/ (/ y z) z) (/ y z) (/ x (+ -1 z)) (+ -1 z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 966 |
| 1 | 738 | 854 |
| 2 | 2805 | 799 |
| 0 | 8555 | 775 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) z) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(* x y) |
(/ x (* z (+ z (pow z 2)))) |
(/ x (+ z (pow z 2))) |
(/ (* x y) (* (pow z 2) (- z 1))) |
(/ x (- z 1)) |
(/ y (pow z 2)) |
(/ y z) |
(/ (* x y) (pow z 2)) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
z |
(* z (+ 1 z)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ 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)) |
(/ (+ x (* -1 (* x z))) z) |
(/ (+ x (* z (- (* x z) x))) z) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) |
(* -1 (/ (* x y) (pow z 2))) |
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2)) |
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2)) |
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2)) |
(* -1 x) |
(+ (* -1 x) (* -1 (* x z))) |
(+ (* -1 x) (* z (- (* -1 (* x z)) x))) |
(+ (* -1 x) (* z (- (* z (- (* -1 (* x z)) x)) x))) |
-1 |
(- z 1) |
(/ (* x y) (pow z 3)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ 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)) |
(/ (+ 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)) |
(/ (+ (* x y) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3)) |
(/ (+ x (/ x z)) z) |
(/ (- (+ x (/ x (pow z 2))) (* -1 (/ x z))) z) |
(/ (- (+ x (/ x (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z) |
(* z (- 1 (/ 1 z))) |
(* -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 (/ (+ (* -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)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) z)) |
(* -1 (* z (- (/ 1 z) 1))) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(* x y) |
(*.f64 y x) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ x (+ z (pow z 2))) |
(/.f64 x (fma.f64 z z z)) |
(/ (* x y) (* (pow z 2) (- z 1))) |
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)) |
(/ x (- z 1)) |
(/.f64 x (-.f64 z #s(literal 1 binary64))) |
(/ y (pow z 2)) |
(/.f64 y (*.f64 z z)) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 y (*.f64 z z)) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) z)) z) z) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y)) (*.f64 z z)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 y z) y) z y))) z (*.f64 y x)) (*.f64 z z)) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(/ 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 (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) |
(/ (+ x (* -1 (* x z))) z) |
(-.f64 (/.f64 x z) x) |
(/ (+ x (* z (- (* x z) x))) z) |
(/.f64 (fma.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) 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) |
(* -1 (/ (* x y) (pow z 2))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)) |
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 y z y)) z) z) |
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 y) x (*.f64 (*.f64 (neg.f64 x) (fma.f64 y z y)) z)) z) z) |
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 y z y)) z) z (*.f64 (neg.f64 x) (fma.f64 y z y))) (*.f64 z z)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* -1 (* x z))) |
(*.f64 x (-.f64 #s(literal -1 binary64) z)) |
(+ (* -1 x) (* z (- (* -1 (* x z)) x))) |
(fma.f64 (neg.f64 z) (fma.f64 z x x) (neg.f64 x)) |
(+ (* -1 x) (* z (- (* z (- (* -1 (* x z)) x)) x))) |
(-.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 z x x) z x) z)) x) |
-1 |
#s(literal -1 binary64) |
(- z 1) |
(-.f64 z #s(literal 1 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 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 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (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 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64))) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(/ 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 x (/.f64 (-.f64 x (/.f64 x z)) z)) (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 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (* -1 (/ x z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 x z)) z) z) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (*.f64 z z)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (*.f64 z z)) |
(/ (+ (* x y) (/ (* x y) z)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 x z) x)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 y (/.f64 y z)) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3)) |
(/.f64 (fma.f64 y x (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 y (/.f64 y z)) z) y)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (/ x z)) z) |
(/.f64 (+.f64 (/.f64 x z) x) z) |
(/ (- (+ x (/ x (pow z 2))) (* -1 (/ x z))) z) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z) |
(/ (- (+ x (/ x (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z) x) z) |
(* z (- 1 (/ 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(/.f64 (*.f64 y (-.f64 x (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(/.f64 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (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 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.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 (fma.f64 y (/.f64 (-.f64 (/.f64 x z) x) z) (*.f64 y x)) (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 (/.f64 y z) (/.f64 (-.f64 x (/.f64 x z)) z) (*.f64 y (-.f64 x (/.f64 x z)))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (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 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) (*.f64 z z)) |
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2)) |
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x z)) z)) z)) (*.f64 z z)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 x z) x)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 y (/.f64 y z)) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) 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 x) (* -1 (/ x z))) z)) |
(/.f64 (+.f64 (/.f64 x z) x) z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x z) x) z) x) z) x) z) |
(* -1 (* z (- (/ 1 z) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 124 |
| 0 | 45 | 123 |
| 1 | 145 | 121 |
| 2 | 804 | 121 |
| 0 | 9235 | 121 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(fma.f64 z z z) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
(*.f64 x y) |
#s(approx (* (* z z) (+ z 1)) (*.f64 z z)) |
(*.f64 z z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
(*.f64 y x) |
(*.f64 (fma.f64 z z z) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (/.f64 x (fma.f64 z z z)) z) |
(/.f64 x (fma.f64 z z z)) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
(/.f64 x (+.f64 #s(literal -1 binary64) z)) |
(+.f64 #s(literal -1 binary64) z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 (*.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x 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 (/.f64 (/.f64 (neg.f64 y) z) z) x) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x) (-.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 (/.f64 y z) z) x) (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (-.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 (/.f64 (/.f64 y z) z) x) (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (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 (*.f64 (neg.f64 x) y) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (-.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) z)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) z) (/.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (/.f64 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 y (/.f64 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 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (*.f64 z z)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) z)) (/.f64 x z)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(*.f64 (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) 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 (/.f64 (neg.f64 x) z) z) (/.f64 y (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (/.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z) x) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (*.f64 z z))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(*.f64 (*.f64 y (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) z)) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z z)) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 y z))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 y z))) |
(*.f64 (/.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 y z) z))) |
(*.f64 (/.f64 x (-.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)) (/.f64 (/.f64 y z) z))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (*.f64 (fma.f64 z z z) (/.f64 x z))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 x z))) |
(*.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (/.f64 (fma.f64 z z z) z)) |
(*.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (/.f64 y (fma.f64 z z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) (*.f64 z z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) (neg.f64 z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) z) z)) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x z) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (-.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 y z) (/.f64 (/.f64 x (fma.f64 z z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (fma.f64 z z z) (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 y (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (*.f64 z z))) |
(*.f64 y (/.f64 (/.f64 x (fma.f64 z z z)) z)) |
(*.f64 (/.f64 x z) (/.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 x z) (/.f64 y (fma.f64 z z z))) |
(*.f64 x (/.f64 (/.f64 (/.f64 y z) z) (-.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z)) |
(/.f64 (/.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) z)) #s(literal 1 binary64)) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (-.f64 #s(literal -1 binary64) z)) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.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 y (/.f64 x (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal -1 binary64) z (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) z (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) y) (*.f64 z z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (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 (/.f64 y z) z) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (*.f64 (-.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 (/.f64 y z) z) x) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 y (/.f64 x z)) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z z) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 y (/.f64 x z)) (+.f64 (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 z z z) z) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) x) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (neg.f64 y)) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 z z)) |
(/.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) z)) (*.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 y x) (*.f64 (fma.f64 z z z) z)) |
(/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 y) z) z) x) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (-.f64 #s(literal -1 binary64) z)) |
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(/.f64 (-.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 (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 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.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 (pow.f64 z #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (-.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))) |
(neg.f64 (-.f64 #s(literal 1 binary64) z)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal -1 binary64) z))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 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 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.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 (neg.f64 z) z) (-.f64 #s(literal -1 binary64) z))) |
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (neg.f64 z) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 z) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 z) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) |
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) z #s(literal -1 binary64)) |
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(fma.f64 z #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 z #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal -1 binary64) z)))) |
(-.f64 (neg.f64 z) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (neg.f64 z)) |
(-.f64 #s(literal -1 binary64) z) |
(-.f64 z #s(literal 1 binary64)) |
(+.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal -1 binary64) z))) |
(+.f64 (neg.f64 z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (neg.f64 z)) |
(+.f64 #s(literal -1 binary64) z) |
(+.f64 z #s(literal -1 binary64)) |
Compiled 26 867 to 3 497 computations (87% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 320 | 7 | 1 327 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 322 | 14 | 1 336 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.0% | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| ✓ | 96.7% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| ✓ | 83.9% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 83.9% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 67.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ✓ | 51.7% | (*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
| ▶ | 96.6% | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
| 67.1% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| ▶ | 85.8% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| ▶ | 74.5% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| 81.1% | (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) | |
| ▶ | 74.1% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
| 29.1% | #s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))) | |
| 49.2% | #s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) |
Compiled 335 to 237 computations (29.3% 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)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (*.f64 (fma.f64 z z z) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (fma.f64 z z z) z)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| 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 1))) (*.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 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 z z z) | |
| cost-diff | 0 | (/.f64 y (fma.f64 z z z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 168 |
| 0 | 39 | 168 |
| 1 | 83 | 164 |
| 2 | 217 | 164 |
| 3 | 653 | 164 |
| 4 | 1413 | 164 |
| 5 | 2199 | 164 |
| 6 | 2599 | 164 |
| 7 | 2713 | 164 |
| 8 | 2746 | 164 |
| 9 | 2764 | 164 |
| 10 | 2766 | 164 |
| 11 | 3005 | 164 |
| 12 | 3613 | 164 |
| 13 | 3981 | 164 |
| 14 | 3981 | 164 |
| 15 | 3981 | 164 |
| 16 | 4172 | 164 |
| 17 | 4304 | 164 |
| 18 | 4496 | 164 |
| 19 | 4496 | 164 |
| 0 | 4496 | 164 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
(/.f64 x z) |
x |
(*.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 1))) (*.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 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
y |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 y (fma.f64 z z z)) |
y |
(fma.f64 z z z) |
z |
(/.f64 x z) |
x |
(*.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 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(/.f64 x z) |
x |
z |
(/.f64 y z) |
y |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
x |
(*.f64 (fma.f64 z z z) z) |
(fma.f64 z z z) |
z |
y |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(*.f64 x (/.f64 y (fma.f64 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 | 0.7240314257480236 | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) | |
| accuracy | 5.861734367942425 | (*.f64 (/.f64 y (fma.f64 z z z)) x) | |
| accuracy | 7.786766690558396 | (/.f64 y (fma.f64 z z z)) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.0703125 | (*.f64 (fma.f64 z z z) z) | |
| accuracy | 3.83684663650392 | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) | |
| accuracy | 7.478104991744526 | (/.f64 x (*.f64 (fma.f64 z z z) z)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 2.6402185568087955 | (*.f64 (/.f64 x z) (/.f64 y z)) | |
| accuracy | 17.06098090023286 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 3.83684663650392 | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) | |
| accuracy | 7.478104991744526 | (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 25.402289852384047 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0.0 | (fma.f64 z z z) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 1.110705655853415 | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) | |
| accuracy | 7.786766690558396 | (/.f64 y (fma.f64 z z z)) |
| 158.0ms | 256× | 0 | valid |
Compiled 161 to 24 computations (85.1% saved)
ival-mult: 127.0ms (90.5% of total)ival-div: 11.0ms (7.8% of total)ival-add: 2.0ms (1.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 y (fma.f64 z z z)) |
(fma.f64 z z z) |
(/.f64 x 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 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 y z) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(*.f64 (fma.f64 z z z) z) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (pow z 2)) |
(/ x (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y z) |
(/ (+ (* -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)) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
z |
(* z (+ 1 z)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ (* x y) z) |
(/ (+ (* -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) |
(/ (* 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)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (+ (* -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)) |
(* -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))) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(/ (+ (* -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)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 4.0ms | x | @ | -inf | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 3.0ms | x | @ | 0 | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 3.0ms | x | @ | inf | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 2.0ms | y | @ | inf | ((* (/ y (+ (* z z) z)) (/ x z)) (/ y (+ (* z z) z)) (+ (* z z) z) (/ x z) (* (/ x (* (* z z) (+ z 1))) y) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (/ x (* (+ (* z z) z) z)) y) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 831 |
| 1 | 657 | 735 |
| 2 | 2287 | 661 |
| 0 | 8477 | 645 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ x (* (pow z 2) (+ 1 z))) |
(/ (* x y) (pow z 2)) |
(/ x (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ y (+ z (pow z 2))) |
(/ y z) |
(/ (+ (* -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)) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (- (* y z) y))) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
z |
(* z (+ 1 z)) |
(/ x (pow z 2)) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ (* x y) z) |
(/ (+ (* -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) |
(/ (* 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)) |
(/ y (pow z 2)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(/ x (pow z 3)) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (+ (* -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)) |
(* -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))) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(/ (+ (* -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)) |
| Outputs |
|---|
(/ (* x y) (* z (+ z (pow z 2)))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ x (* (pow z 2) (+ 1 z))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ (* x y) (pow z 2)) |
(*.f64 (/.f64 (/.f64 y z) z) x) |
(/ x (* z (+ z (pow z 2)))) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(/ (* x y) (+ z (pow z 2))) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
(/ y (+ z (pow z 2))) |
(/.f64 y (fma.f64 z z z)) |
(/ y z) |
(/.f64 y z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 y (/.f64 (-.f64 (/.f64 x z) x) z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) |
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) |
(/.f64 (-.f64 (*.f64 (/.f64 y z) x) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64))) z) |
(/ (+ y (* -1 (* y z))) z) |
(-.f64 (/.f64 y z) y) |
(/ (+ y (* z (- (* y z) y))) z) |
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z) |
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) z y) z (neg.f64 y)) z y) z) |
z |
(* z (+ 1 z)) |
(fma.f64 z z z) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ (+ x (* -1 (* x z))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 x z) x) z) |
(/ (+ x (* z (- (* x z) x))) (pow z 2)) |
(+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) |
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) z x) z (neg.f64 x)) z x) z) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 z)) |
(*.f64 (fma.f64 z z z) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (+ (* -1 (* x (* y z))) (* x y)) z) |
(*.f64 x (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(-.f64 (*.f64 (/.f64 y z) x) (*.f64 (*.f64 x (fma.f64 (-.f64 (*.f64 z y) y) z y)) #s(literal 1 binary64))) |
(/ (* 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))) |
(/ (- (+ (* 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 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64))) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z) |
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z) |
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z) z) |
(* (pow z 2) (+ 1 (/ 1 z))) |
(fma.f64 z z z) |
(/ x (pow z 3)) |
(/.f64 x (pow.f64 z #s(literal 3 binary64))) |
(/ (+ x (* -1 (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3)) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(*.f64 (fma.f64 z z z) z) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/.f64 (*.f64 x (/.f64 (-.f64 y (/.f64 y z)) z)) z) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (*.f64 z z)) |
(* -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 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z)) (* -1 y)) z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z)) z) z) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3))) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3))) |
(/.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x z) x) z) x) z)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (neg.f64 z))) (*.f64 z z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 136 |
| 0 | 39 | 136 |
| 1 | 123 | 132 |
| 2 | 678 | 132 |
| 3 | 7315 | 132 |
| 0 | 8049 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(/.f64 y (fma.f64 z z z)) |
(fma.f64 z z z) |
(/.f64 x 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 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 y z) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(/.f64 x (*.f64 (fma.f64 z z z) z)) |
(*.f64 (fma.f64 z z z) z) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(*.f64 (/.f64 y (fma.f64 z z z)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.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 (neg.f64 y) x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.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 (*.f64 (neg.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 (neg.f64 y) x) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z z) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z)) |
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(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 y z) z) x) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
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(fma.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (fma.f64 z z z) z) (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z)) (*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z z z) z))) |
Compiled 23 292 to 3 152 computations (86.5% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 141 | 4 | 1 145 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 142 | 17 | 1 159 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.0% | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| ✓ | 96.7% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| ▶ | 96.0% | (/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) |
| 67.9% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) | |
| ✓ | 83.9% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 83.9% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 67.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ▶ | 71.8% | (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
| ✓ | 96.6% | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
| ▶ | 67.1% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| ✓ | 85.8% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| ✓ | 74.5% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| 81.1% | (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) | |
| ▶ | 74.9% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) |
| ✓ | 74.1% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
| 29.1% | #s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))) | |
| ▶ | 49.2% | #s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) |
Compiled 402 to 281 computations (30.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 z #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)) | |
| cost-diff | 0 | #s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 x) z) y) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) | |
| cost-diff | 2 | (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) 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 | (/.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)) z)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) | |
| cost-diff | 6 | (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 254 |
| 0 | 66 | 254 |
| 1 | 134 | 250 |
| 2 | 360 | 250 |
| 3 | 1351 | 241 |
| 4 | 4001 | 235 |
| 5 | 6924 | 235 |
| 0 | 8340 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) |
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) 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)) z) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
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 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
y |
(neg.f64 z) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)) |
(/.f64 y (-.f64 z #s(literal 1 binary64))) |
y |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
x |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) |
(*.f64 (/.f64 x (fma.f64 z z z)) y) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) |
(/.f64 y (fma.f64 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)) z) |
(-.f64 z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
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 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 (/.f64 x z) z) y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)) |
(*.f64 (/.f64 (/.f64 x z) z) y) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
y |
(neg.f64 z) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (/.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) z) z) x)) |
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)) |
(*.f64 (/.f64 (/.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) z) z) x) |
(/.f64 y (-.f64 z #s(literal 1 binary64))) |
y |
(-.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 (/.f64 x z) z) |
(/.f64 x z) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) | |
| accuracy | 0.00390625 | (/.f64 y (-.f64 z #s(literal 1 binary64))) | |
| accuracy | 0.140625 | (/.f64 (/.f64 x z) z) | |
| accuracy | 2.4762324946369305 | (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.3145572074782933 | (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)) | |
| accuracy | 7.008125237053519 | (*.f64 (/.f64 (neg.f64 x) z) y) | |
| accuracy | 17.06098090023286 | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.7240314257480236 | (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) | |
| accuracy | 4.859229757176856 | (*.f64 (/.f64 y z) x) | |
| accuracy | 23.375390404841838 | #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 5.238643099905375 | (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) | |
| accuracy | 7.019140347119576 | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) | |
| accuracy | 25.402289852384047 | #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) | |
| accuracy | 0.7240314257480236 | (/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) | |
| accuracy | 5.861734367942425 | (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) | |
| accuracy | 7.790672940558396 | (/.f64 y (fma.f64 z z #s(literal -1 binary64))) |
| 84.0ms | 256× | 0 | valid |
Compiled 215 to 40 computations (81.4% saved)
ival-div: 25.0ms (38.3% of total)ival-add: 20.0ms (30.6% of total)ival-mult: 16.0ms (24.5% of total)ival-neg: 2.0ms (3.1% of total)ival-sub: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) |
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) |
(/.f64 y (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 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)) |
(/.f64 y (-.f64 z #s(literal 1 binary64))) |
(-.f64 z #s(literal 1 binary64)) |
(neg.f64 x) |
(/.f64 (/.f64 x z) z) |
| Outputs |
|---|
(/ (* x (* y (- z 1))) (* (pow z 2) (- (pow z 2) 1))) |
(/ (* x (* y (- z 1))) (* z (- (pow z 2) 1))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) z) |
(/ (* x y) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(/ (* x y) (* (pow z 2) (- z 1))) |
(* -1 x) |
(/ x (pow z 2)) |
(/ (* y (- z 1)) (* z (- (pow z 2) 1))) |
(/ y (- (pow z 2) 1)) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y z) |
(/ y (- z 1)) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (+ (* -1 y) (* y z)))) z) |
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) z) |
(/ (+ (* -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 (* x (* y z))) (* x y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) z) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) z) |
(* -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))) |
(/ (+ (* 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 (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)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(* -1 (/ (* x y) (pow z 2))) |
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2)) |
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2)) |
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2)) |
(+ (* -1 y) (* -1 (* y z))) |
(+ (* -1 y) (* z (- (* -1 (* y z)) y))) |
(+ (* -1 y) (* z (- (* z (- (* -1 (* y z)) y)) y))) |
-1 |
(- z 1) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (+ y (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 2)) |
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 2)) |
(/ (* 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)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (+ 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)) |
(/ (- (+ (* 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 (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)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (- (+ (* 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)) |
(/ (+ (* x y) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3)) |
(/ (+ y (/ y z)) z) |
(/ (- (+ y (/ y (pow z 2))) (* -1 (/ y z))) z) |
(/ (- (+ y (/ y (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2))))) z) |
z |
(* z (- 1 (/ 1 z))) |
(/ (+ y (* -1 (/ (+ y (* -1 (/ y z))) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) z)) (* x y)) (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 (/ (- (/ y z) y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) 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)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y z)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))) z))) z)) |
(* -1 (* z (- (/ 1 z) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | inf | ((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z)) |
| 13.0ms | x | @ | -inf | ((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z)) |
| 7.0ms | y | @ | -inf | ((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z)) |
| 6.0ms | z | @ | -inf | ((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z)) |
| 5.0ms | x | @ | inf | ((* (/ y (+ (* z z) -1)) (/ (- z 1) z)) (/ (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) z) (* (* (/ y (+ (* z z) -1)) (/ (- z 1) z)) x) (/ y (+ (* z z) -1)) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* (/ y (+ (* z z) z)) x) z) (* (/ y (+ (* z z) z)) x) (* (/ y z) x) (/ y z) (/ (* (/ (neg x) z) y) (neg z)) (/ (* x y) (* (* z z) (+ z 1))) (* (/ (neg x) z) y) (/ (neg x) z) (* (/ (/ y z) z) (/ x (+ -1 z))) (* (/ y (- z 1)) (/ (/ x z) z)) (/ y (- z 1)) (- z 1) (neg x) (/ (/ x z) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 1540 |
| 1 | 1031 | 1309 |
| 2 | 3888 | 1179 |
| 0 | 8390 | 1149 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (* y (- z 1))) (* (pow z 2) (- (pow z 2) 1))) |
(/ (* x (* y (- z 1))) (* z (- (pow z 2) 1))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(/ (* x y) (* z (+ z (pow z 2)))) |
(/ (* x y) (+ z (pow z 2))) |
(/ (* x y) z) |
(/ (* x y) (pow z 2)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ x z)) |
(/ (* x y) (* (pow z 2) (- z 1))) |
(* -1 x) |
(/ x (pow z 2)) |
(/ (* y (- z 1)) (* z (- (pow z 2) 1))) |
(/ y (- (pow z 2) 1)) |
(/ y (* (pow z 2) (+ 1 z))) |
(/ y z) |
(/ y (- z 1)) |
(/ (+ y (* -1 (* y z))) z) |
(/ (+ y (* z (+ (* -1 y) (* y z)))) z) |
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) z) |
(/ (+ (* -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 (* x (* y z))) (* x y)) z) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) z) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) z) |
(* -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))) |
(/ (+ (* 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 (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)) |
(pow z 2) |
(* (pow z 2) (+ 1 z)) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(* -1 (/ (* x y) (pow z 2))) |
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2)) |
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2)) |
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2)) |
(+ (* -1 y) (* -1 (* y z))) |
(+ (* -1 y) (* z (- (* -1 (* y z)) y))) |
(+ (* -1 y) (* z (- (* z (- (* -1 (* y z)) y)) y))) |
-1 |
(- z 1) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/ (+ y (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 2)) |
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 2)) |
(/ (* 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)) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/ (+ 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)) |
(/ (- (+ (* 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 (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)) |
(pow z 3) |
(* (pow z 3) (+ 1 (/ 1 z))) |
(/ (- (+ (* 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)) |
(/ (+ (* x y) (/ (* x y) z)) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* x y) z))) (pow z 3)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3)) |
(/ (+ y (/ y z)) z) |
(/ (- (+ y (/ y (pow z 2))) (* -1 (/ y z))) z) |
(/ (- (+ y (/ y (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2))))) z) |
z |
(* z (- 1 (/ 1 z))) |
(/ (+ y (* -1 (/ (+ y (* -1 (/ y z))) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) z))) (pow z 2)) |
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) (pow z 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) z)) (* x y)) (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 (/ (- (/ y z) y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) 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)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y z)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))) z))) z)) |
(* -1 (* z (- (/ 1 z) 1))) |
| 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 (- z 1))) (* z (- (pow z 2) 1))) |
(*.f64 (/.f64 x (fma.f64 z z #s(literal -1 binary64))) (-.f64 y (/.f64 y z))) |
(/ (* x y) (* (pow z 2) (+ 1 z))) |
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z)) |
(/ (* 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) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x y) (pow z 2)) |
(/.f64 (*.f64 (/.f64 y z) x) z) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(/ (* x y) (* (pow z 2) (- z 1))) |
(*.f64 (/.f64 x (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 y z) z)) |
(* -1 x) |
(neg.f64 x) |
(/ x (pow z 2)) |
(/.f64 (/.f64 x z) z) |
(/ (* y (- z 1)) (* z (- (pow z 2) 1))) |
(/.f64 (-.f64 y (/.f64 y 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) |
(/.f64 y z) |
(/ y (- z 1)) |
(/.f64 y (-.f64 z #s(literal 1 binary64))) |
(/ (+ y (* -1 (* y z))) z) |
(-.f64 (/.f64 y z) y) |
(/ (+ y (* z (+ (* -1 y) (* y z)))) z) |
(fma.f64 (-.f64 z #s(literal 1 binary64)) y (/.f64 y z)) |
(/ (+ y (* z (+ (* -1 y) (* z (- (* -1 (* y z)) (* -1 y)))))) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (fma.f64 (neg.f64 y) z y)) z) |
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) |
(*.f64 (/.f64 x z) (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) (pow z 2)) |
(*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 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 (* x (* y z))) (* x y)) z) |
(*.f64 x (-.f64 (/.f64 y z) y)) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* x (* y z))))) z) |
(fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) x (*.f64 (/.f64 y z) x)) |
(/ (+ (* x y) (* z (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* -1 (* x y))))))) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) 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 y) (*.f64 (fma.f64 (fma.f64 (*.f64 z y) z y) (*.f64 z z) y) (*.f64 z z))) |
(/ (+ (* 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 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) (*.f64 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 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) |
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) |
(fma.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) y) x (*.f64 (/.f64 y z) x)) |
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) |
(/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) z y) x)) z) |
(* -1 (/ (* x y) (pow z 2))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 y z) z)) |
(/ (+ (* -1 (* x y)) (* -1 (* x (* y z)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 z y y)) z) z) |
(/ (+ (* -1 (* x y)) (* z (- (* -1 (* x (* y z))) (* x y)))) (pow z 2)) |
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (fma.f64 z y y)) z (*.f64 x y))) z) z) |
(/ (+ (* -1 (* x y)) (* z (- (* z (- (* -1 (* x (* y z))) (* x y))) (* x y)))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (*.f64 x (fma.f64 z y y))) z (*.f64 (neg.f64 x) (fma.f64 z y y))) (*.f64 z z)) |
(+ (* -1 y) (* -1 (* y z))) |
(*.f64 y (-.f64 #s(literal -1 binary64) z)) |
(+ (* -1 y) (* z (- (* -1 (* y z)) y))) |
(fma.f64 (*.f64 y (-.f64 #s(literal -1 binary64) z)) z (neg.f64 y)) |
(+ (* -1 y) (* z (- (* z (- (* -1 (* y z)) y)) y))) |
(-.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 z y y) z y) z)) y) |
-1 |
#s(literal -1 binary64) |
(- z 1) |
(-.f64 z #s(literal 1 binary64)) |
(/ (+ y (* -1 (/ y z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z) |
(/ (+ y (+ (* -1 (/ y z)) (/ y (pow z 2)))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z) |
(/ (- (+ y (+ (* -1 (/ y z)) (* -1 (/ y (pow z 3))))) (* -1 (/ y (pow z 2)))) (pow z 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) 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 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))) |
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2)) |
(*.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 y z)) z) z)) |
(/ (+ (* -1 (/ (* x y) z)) (+ (* x y) (/ (* x y) (pow z 2)))) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x y) (pow z 3))) (* x y))) (* -1 (/ (* x y) (pow z 2)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) z) z) |
(/ (+ y (/ y (pow z 2))) (pow z 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 y 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 z) z) y) z) z) y) (*.f64 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))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 y z) z) y) z) z)) y) (*.f64 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 (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))) |
(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) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z)) |
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) z) z) |
(/ (+ (* x y) (/ (* x y) z)) (pow z 3)) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 x z) x)) |
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (* -1 (/ (* 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))) |
(/ (- (+ (* x y) (/ (* x y) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x y) (pow z 2))))) (pow z 3)) |
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (/ y z)) z) |
(/.f64 (+.f64 (/.f64 y z) y) z) |
(/ (- (+ y (/ y (pow z 2))) (* -1 (/ y z))) z) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) |
(/ (- (+ y (/ y (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ y (pow z 2))))) z) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) y) z) |
z |
(* z (- 1 (/ 1 z))) |
(*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) z) z) |
(/ (+ y (* -1 (/ (+ y (* -1 (/ y z))) z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z)) z) z) |
(/ (+ y (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y z)) (* -1 y)) z))) 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)) (/ (* 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) z)) (* x y)) z)) (* x y)) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) z)) (* x y)) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) z) z) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (fma.f64 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) (/ y z)) (pow z 3))) |
(/.f64 (-.f64 y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3))) |
(/.f64 (-.f64 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 (/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y) z) y) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/.f64 (*.f64 x (-.f64 y (/.f64 (-.f64 y (/.f64 y z)) z))) (*.f64 z z)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) z) z) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) (pow z 3))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 x z) x)) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x y) (/ (* x y) z)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x y) z))) z)) (* x y)) z))) (pow z 3))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) y)) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z)) |
(/.f64 (+.f64 (/.f64 y z) y) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (/ y z)) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ y (* -1 (/ (+ (* -1 y) (* -1 (/ y z))) z))) z))) z)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 y z) y) z) y) z) y) z) |
(* -1 (* z (- (/ 1 z) 1))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 219 |
| 0 | 66 | 224 |
| 1 | 219 | 200 |
| 2 | 1392 | 200 |
| 0 | 10255 | 188 |
| 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)) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) |
(*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) |
(/.f64 y (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 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
#s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z)) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 x) z) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z)) |
(/.f64 y (-.f64 z #s(literal 1 binary64))) |
(-.f64 z #s(literal 1 binary64)) |
(neg.f64 x) |
(/.f64 (/.f64 x z) z) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) 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) z) 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 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.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 (neg.f64 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (fma.f64 z z z)) |
(*.f64 (neg.f64 (/.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 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) 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) 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) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.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 (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z z)) |
(*.f64 (/.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 (-.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) z) 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) 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 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) z) z)) |
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) z))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 y (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 y (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (-.f64 #s(literal 1 binary64) z)))) |
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) z) z)) |
(*.f64 y (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) z)))) |
(*.f64 y (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) z))) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.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 (-.f64 #s(literal -1 binary64) z) z) y) (-.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 (-.f64 #s(literal -1 binary64) z) z) y) (-.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 (-.f64 #s(literal -1 binary64) z) z) y) (-.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 (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (-.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 (/.f64 y (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 (pow.f64 z #s(literal 4 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 (/.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z (pow.f64 z #s(literal 3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 8 binary64)) (*.f64 (fma.f64 z z (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) z (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal -1 binary64) z) z)) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 y (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (fma.f64 z z z)) (*.f64 z z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) z) z) y) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal -1 binary64) z)) (fma.f64 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 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) z)) |
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (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 #s(literal 1 binary64) z)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z))) |
(-.f64 (neg.f64 z) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (neg.f64 z)) |
(-.f64 #s(literal -1 binary64) z) |
(-.f64 z #s(literal 1 binary64)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 z z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 z z)) (*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 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 #s(literal 1 binary64) z)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z))) |
(+.f64 (neg.f64 z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (neg.f64 z)) |
(+.f64 #s(literal -1 binary64) z) |
(+.f64 z #s(literal -1 binary64)) |
(neg.f64 x) |
(/.f64 (/.f64 x z) z) |
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) z)) |
(/.f64 x (*.f64 z z)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 z) z))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z z))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) z) z)) |
Compiled 20 173 to 2 615 computations (87% saved)
18 alts after pruning (6 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 813 | 3 | 816 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 815 | 18 | 833 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.0% | (/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
| ✓ | 96.7% | (/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
| 60.6% | (/.f64 (*.f64 (*.f64 #s(approx (/ y (+ (* z z) -1)) (neg.f64 y)) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) | |
| 67.9% | (/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) | |
| ✓ | 83.9% | (/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
| ✓ | 83.9% | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| ✓ | 67.5% | (/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
| ✓ | 71.8% | (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
| 74.9% | (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) | |
| ✓ | 96.6% | (*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
| 84.2% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) | |
| ✓ | 67.1% | (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
| ✓ | 85.8% | (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| ✓ | 74.5% | (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| 81.1% | (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) | |
| ✓ | 74.1% | #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
| 29.1% | #s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))) | |
| ✓ | 49.2% | #s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) |
Compiled 616 to 288 computations (53.2% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 z z z)) x) z) |
(/.f64 (*.f64 (*.f64 #s(approx (/ y (+ (* z z) -1)) (neg.f64 y)) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) |
(/.f64 (*.f64 #s(approx (/ y (+ (* z z) z)) (/.f64 (/.f64 y z) z)) x) z) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (/.f64 x z) z))) |
(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal -1 binary64) z))) |
(/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (/.f64 (-.f64 z #s(literal 1 binary64)) z)) x) z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
6 calls:
| 11.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 6.0ms | y |
| 6.0ms | x |
| 6.0ms | z |
| 6.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | x |
| 96.7% | 1 | y |
| 96.7% | 1 | z |
| 96.7% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.7% | 1 | (*.f64 x y) |
| 96.7% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) |
| Outputs |
|---|
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
6 calls:
| 33.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | z |
| 4.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | x |
| 96.6% | 1 | y |
| 96.6% | 1 | z |
| 96.6% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 96.6% | 1 | (*.f64 x y) |
| 96.6% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 y z) x)) z) |
(/.f64 (*.f64 y x) (*.f64 (fma.f64 z z z) z)) |
#s(approx (* (/ (/ y z) z) (/ x (+ -1 z))) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 z))) |
| Outputs |
|---|
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
6 calls:
| 10.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (*.f64 x y) |
| 3.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 2 | y |
| 91.6% | 2 | x |
| 95.9% | 3 | z |
| 95.2% | 3 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 94.7% | 3 | (*.f64 x y) |
| 95.9% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
| Outputs |
|---|
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) |
2 calls:
| 3.0ms | z |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 3 | z |
| 95.4% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
Compiled 8 to 10 computations (-25% 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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
4 calls:
| 2.0ms | z |
| 2.0ms | (*.f64 x y) |
| 2.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 2.0ms | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | (*.f64 x y) |
| 92.2% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 92.5% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 92.5% | 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))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
| Outputs |
|---|
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
6 calls:
| 5.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 1 | y |
| 81.1% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 81.1% | 1 | z |
| 81.1% | 1 | (*.f64 x y) |
| 81.1% | 1 | x |
| 81.1% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
Compiled 24 to 29 computations (-20.8% saved)
| Inputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) |
(/.f64 (*.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) |
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
6 calls:
| 7.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | z |
| 80.8% | 2 | y |
| 80.8% | 3 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 79.0% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 80.7% | 2 | (*.f64 x y) |
| 80.0% | 2 | x |
Compiled 24 to 29 computations (-20.8% saved)
Total -7.5b remaining (-45.7%)
Threshold costs -7.5b (-45.7%)
| 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))) |
| Outputs |
|---|
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
6 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 1.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) |
| 74.5% | 1 | (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) |
| 74.5% | 1 | z |
| 74.5% | 1 | x |
| 74.5% | 1 | (*.f64 x y) |
| 74.5% | 1 | y |
Compiled 24 to 29 computations (-20.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1701284875869539e-33 | 1.0880149428189455e-28 |
| 0.0ms | -0.06214462991467458 | 0.0 |
Compiled 14 to 15 computations (-7.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 1.0121700387869467e-73 | 9.819369265775778e-64 |
| 16.0ms | -1.4226474347302005e-6 | -5.655597000443723e-13 |
| 16.0ms | 304× | 0 | valid |
Compiled 679 to 490 computations (27.8% saved)
ival-mult: 6.0ms (64.3% of total)ival-div: 2.0ms (21.4% of total)ival-add: 1.0ms (10.7% of total)ival-true: 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 | 2.040923458802437e+237 | 2.153787634180818e+237 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.7888598739293996e+74 | 2.3927876614907525e+80 |
| 8.0ms | 144× | 0 | valid |
Compiled 320 to 249 computations (22.2% saved)
ival-mult: 3.0ms (69.1% of total)ival-div: 1.0ms (23% of total)ival-add: 1.0ms (23% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 231 |
| 1 | 97 | 231 |
| 2 | 215 | 231 |
| 3 | 674 | 231 |
| 4 | 1535 | 231 |
| 5 | 2379 | 231 |
| 6 | 2895 | 231 |
| 7 | 2895 | 231 |
| 8 | 2895 | 231 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (<=.f64 z #s(literal -1436010445571041/2475880078570760549798248448 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 z #s(literal 907809979620559/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 2100000000000000145536808796083872938156423967257005564621211269498147515882177945217276865517736029765888605123387503382993979458399226250845097815434976185625462845283540214994000741382788425431032264453563426799448069165789783401693184 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
(if (<=.f64 y #s(literal 107999999999999996083641477707445172593855978094449038129873297793261217251328 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z))) (*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y)) |
(*.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z)) |
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z)) |
(if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)) (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (or (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (not (<=.f64 (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1461501637330903/730750818665451459101842416358141509827966271488 binary64)))) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (/.f64 #s(approx (* (/ y (+ (* z z) z)) x) (*.f64 (/.f64 x z) y)) z)) |
(if (<=.f64 z #s(literal -1436010445571041/2475880078570760549798248448 binary64)) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (if (<=.f64 z #s(literal 907809979620559/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x))) |
(if (or (<=.f64 z #s(literal -1436010445571041/2475880078570760549798248448 binary64)) (not (<=.f64 z #s(literal 907809979620559/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)))) (*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)) |
(if (<=.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 2100000000000000145536808796083872938156423967257005564621211269498147515882177945217276865517736029765888605123387503382993979458399226250845097815434976185625462845283540214994000741382788425431032264453563426799448069165789783401693184 binary64)) (*.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y) (*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y)) |
(*.f64 #s(approx (/ (/ x (+ (* z z) z)) z) (/.f64 (/.f64 x z) z)) y) |
(if (<=.f64 y #s(literal 107999999999999996083641477707445172593855978094449038129873297793261217251328 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 | 9 | 24 |
| 0 | 14 | 24 |
| 1 | 56 | 24 |
| 2 | 343 | 24 |
| 3 | 3087 | 24 |
| 0 | 9060 | 22 |
| 0 | 299 | 1540 |
| 1 | 1031 | 1309 |
| 2 | 3888 | 1179 |
| 0 | 8390 | 1149 |
| 0 | 62 | 236 |
| 1 | 207 | 215 |
| 2 | 857 | 193 |
| 3 | 4522 | 183 |
| 0 | 8208 | 179 |
| 0 | 44 | 219 |
| 0 | 66 | 224 |
| 1 | 219 | 200 |
| 2 | 1392 | 200 |
| 0 | 10255 | 188 |
| 0 | 191 | 831 |
| 1 | 657 | 735 |
| 2 | 2287 | 661 |
| 0 | 8477 | 645 |
| 0 | 211 | 966 |
| 1 | 738 | 854 |
| 2 | 2805 | 799 |
| 0 | 8555 | 775 |
| 0 | 27 | 124 |
| 0 | 45 | 123 |
| 1 | 145 | 121 |
| 2 | 804 | 121 |
| 0 | 9235 | 121 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 628 to 302 computations (51.9% saved)
(negabs x)
Compiled 636 to 248 computations (61% saved)
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