
Time bar (total: 8.1s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 904.0ms | 8 256× | 0 | valid |
ival-div: 381.0ms (64.4% of total)ival-mult: 154.0ms (26% of total)ival-add: 41.0ms (6.9% of total)ival-true: 7.0ms (1.2% of total)exact: 5.0ms (0.8% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 12 | 0 | - | 0 | - | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 11 | 0 | - | 0 | - | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | n/o | 12 | 0 |
| ↳ | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | overflow | 69 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 z z)) | overflow | 58 | |
| ↳ | (*.f64 z z) | overflow | 58 | |
*.f64 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | n*o | 11 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 19 | 0 |
| - | 4 | 233 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 19 | 0 | 0 |
| - | 4 | 0 | 233 |
| number | freq |
|---|---|
| 0 | 233 |
| 1 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 104.0ms | 512× | 0 | valid |
Compiled 147 to 58 computations (60.5% saved)
ival-mult: 37.0ms (74.1% of total)ival-div: 7.0ms (14% of total)ival-add: 5.0ms (10% of total)ival-true: 1.0ms (2% 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 | 102 |
| 1 | 129 | 99 |
| 2 | 339 | 99 |
| 3 | 1139 | 99 |
| 4 | 2665 | 99 |
| 5 | 4199 | 99 |
| 6 | 5059 | 99 |
| 7 | 5307 | 99 |
| 8 | 5419 | 99 |
| 9 | 5432 | 99 |
| 10 | 5933 | 99 |
| 11 | 6237 | 99 |
| 12 | 6270 | 99 |
| 13 | 6286 | 99 |
| 14 | 6290 | 99 |
| 15 | 6290 | 99 |
| 16 | 6290 | 99 |
| 17 | 6290 | 99 |
| 18 | 6350 | 99 |
| 19 | 6374 | 99 |
| 20 | 6374 | 99 |
| 21 | 6550 | 99 |
| 22 | 7118 | 99 |
| 23 | 7144 | 99 |
| 24 | 7148 | 99 |
| 25 | 7148 | 99 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 28 | 11 |
| 2 | 46 | 11 |
| 3 | 101 | 11 |
| 4 | 153 | 11 |
| 5 | 202 | 11 |
| 0 | 202 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(abs z)
(negabs y)
(negabs x)
(sort x y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.4% | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 0 | 14 | 33 |
| 1 | 28 | 33 |
| 2 | 46 | 33 |
| 3 | 101 | 33 |
| 4 | 153 | 33 |
| 5 | 202 | 33 |
| 0 | 202 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 z z) |
z |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 z z #s(literal 1 binary64)) |
(*.f64 z z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.9628885798372055 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| accuracy | 4.519603501235588 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 18.0ms | 256× | 0 | valid |
Compiled 68 to 20 computations (70.6% saved)
ival-div: 3.0ms (36.7% of total)ival-mult: 3.0ms (36.7% of total)ival-add: 1.0ms (12.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 z z) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 x) |
(* y (+ 1 (pow z 2))) |
1 |
(+ 1 (pow z 2)) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 2.0ms | x | @ | 0 | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 1.0ms | x | @ | -inf | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 1.0ms | y | @ | 0 | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 1.0ms | y | @ | -inf | ((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 227 |
| 1 | 135 | 225 |
| 2 | 389 | 220 |
| 3 | 1477 | 203 |
| 4 | 3988 | 181 |
| 5 | 7678 | 181 |
| 0 | 8226 | 171 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 x) |
(* y (+ 1 (pow z 2))) |
1 |
(+ 1 (pow z 2)) |
(/ 1 (* x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* y (+ 1 (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
y |
(+ y (* y (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)))) (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 14 | 29 |
| 1 | 58 | 29 |
| 2 | 360 | 29 |
| 3 | 2750 | 29 |
| 0 | 9073 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 z z) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (-.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) |
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(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (-.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) y)) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (neg.f64 y))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z))) (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z)))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z))))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y (*.f64 z z)) y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y (*.f64 z z)) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) y) (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y))) |
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) |
(/.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 y (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 y (*.f64 z z)) y) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y z) z y) |
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal 1 binary64) y) |
(fma.f64 y (*.f64 z z) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 z z))) |
(fma.f64 (*.f64 z z) y y) |
(fma.f64 z (*.f64 y z) y) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 y (*.f64 z z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (-.f64 (*.f64 y (*.f64 z z)) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 z z)) y))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y z) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 y)) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))) |
(-.f64 y (/.f64 (*.f64 y (*.f64 z z)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (*.f64 y z) (neg.f64 z)))) |
(+.f64 (*.f64 y (*.f64 z z)) y) |
(+.f64 y (*.f64 y (*.f64 z z))) |
(*.f64 (*.f64 z z) #s(literal 1 binary64)) |
(*.f64 z z) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #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))) |
Compiled 10 812 to 1 540 computations (85.8% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 436 | 16 | 452 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 437 | 16 | 453 |
| Status | Accuracy | Program |
|---|---|---|
| 90.9% | (pow.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 91.1% | (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| ▶ | 66.1% | (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| ▶ | 93.9% | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
| ▶ | 91.0% | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
| 92.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) | |
| 49.7% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) | |
| 91.4% | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) | |
| 56.3% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (fma.f64 z z #s(literal 1 binary64)))) | |
| 43.1% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y)) | |
| 91.1% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) | |
| ▶ | 90.8% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
| 91.0% | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))) | |
| 54.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) | |
| ▶ | 60.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| 49.6% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
Compiled 506 to 376 computations (25.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) | |
| cost-diff | 0 | (neg.f64 (fma.f64 z z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| cost-diff | 512 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) | |
| cost-diff | 512 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 170 |
| 0 | 50 | 166 |
| 1 | 101 | 166 |
| 2 | 232 | 163 |
| 3 | 580 | 163 |
| 4 | 984 | 163 |
| 5 | 1284 | 163 |
| 6 | 1654 | 163 |
| 7 | 2059 | 163 |
| 8 | 2387 | 163 |
| 9 | 2477 | 163 |
| 10 | 2561 | 163 |
| 11 | 2703 | 163 |
| 12 | 2741 | 163 |
| 13 | 2741 | 163 |
| 14 | 2741 | 163 |
| 15 | 2741 | 163 |
| 0 | 2741 | 163 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(neg.f64 y) |
y |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(neg.f64 (fma.f64 z z #s(literal 1 binary64))) |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
#s(literal 1 binary64) |
(*.f64 z z) |
z |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(neg.f64 y) |
y |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(neg.f64 (fma.f64 z z #s(literal 1 binary64))) |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) y) (fma.f64 z z #s(literal 1 binary64))) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(fma.f64 z z #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z z) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.9628885798372055 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) | |
| accuracy | 4.519603501235588 | (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) | |
| accuracy | 26.809146337389414 | (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (neg.f64 (fma.f64 z z #s(literal 1 binary64))) | |
| accuracy | 0.1875 | (/.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| accuracy | 5.647703698115981 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.5294002462170384 | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) | |
| accuracy | 5.404972889598671 | (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.1875 | (/.f64 (/.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 24.916308784141133 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.720924763930106 | (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) | |
| accuracy | 5.4571582866872275 | (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
| 69.0ms | 256× | 0 | valid |
Compiled 345 to 60 computations (82.6% saved)
ival-div: 18.0ms (38% of total)ival-pow: 15.0ms (31.6% of total)ival-mult: 9.0ms (19% of total)ival-add: 2.0ms (4.2% of total)ival-neg: 2.0ms (4.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(fma.f64 z z #s(literal 1 binary64)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(neg.f64 (fma.f64 z z #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (+ 1 (pow z 2)))) |
(/ -1 x) |
(/ 1 (* x y)) |
(/ 1 x) |
(* -1 (* x (* y (+ 1 (pow z 2))))) |
(* -1 (* x y)) |
(/ -1 (* x y)) |
(pow x 2) |
(/ -1 (* x (* y (+ 1 (pow z 2))))) |
(* -1 y) |
(* y (+ 1 (pow z 2))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(- (/ (pow z 2) x) (/ 1 x)) |
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) |
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
1 |
(+ 1 (pow z 2)) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
-1 |
(- (* -1 (pow z 2)) 1) |
y |
(+ y (* y (pow z 2))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ -1 (* x (pow z 2))) |
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2)) |
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* -1 (* x (* y (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
(* -1 (pow z 2)) |
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (+ 1 (* z z)) (pow (* x x) -1/2) (* x x) (* y (+ 1 (* z z))) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (/ (pow (* x x) -1/2) (* y (+ 1 (* z z))))) |
| 5.0ms | x | @ | 0 | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (+ 1 (* z z)) (pow (* x x) -1/2) (* x x) (* y (+ 1 (* z z))) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (/ (pow (* x x) -1/2) (* y (+ 1 (* z z))))) |
| 3.0ms | y | @ | inf | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (+ 1 (* z z)) (pow (* x x) -1/2) (* x x) (* y (+ 1 (* z z))) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (/ (pow (* x x) -1/2) (* y (+ 1 (* z z))))) |
| 2.0ms | x | @ | -inf | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (+ 1 (* z z)) (pow (* x x) -1/2) (* x x) (* y (+ 1 (* z z))) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (/ (pow (* x x) -1/2) (* y (+ 1 (* z z))))) |
| 2.0ms | y | @ | 0 | ((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (* (* (neg y) x) (+ (* z z) 1)) (* (neg y) x) (neg y) (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (neg (+ (* z z) 1)) (+ 1 (* z z)) (pow (* x x) -1/2) (* x x) (* y (+ 1 (* z z))) (/ -1 (* (* (neg y) x) (+ (* z z) 1))) (/ (pow (* x x) -1/2) (* y (+ 1 (* z z))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 447 |
| 1 | 269 | 444 |
| 2 | 780 | 420 |
| 3 | 3228 | 397 |
| 4 | 7270 | 395 |
| 0 | 8431 | 381 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ -1 (* x (+ 1 (pow z 2)))) |
(/ -1 x) |
(/ 1 (* x y)) |
(/ 1 x) |
(* -1 (* x (* y (+ 1 (pow z 2))))) |
(* -1 (* x y)) |
(/ -1 (* x y)) |
(pow x 2) |
(/ -1 (* x (* y (+ 1 (pow z 2))))) |
(* -1 y) |
(* y (+ 1 (pow z 2))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(- (/ (pow z 2) x) (/ 1 x)) |
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) |
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
1 |
(+ 1 (pow z 2)) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
-1 |
(- (* -1 (pow z 2)) 1) |
y |
(+ y (* y (pow z 2))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/ -1 (* x (pow z 2))) |
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2)) |
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* -1 (* x (* y (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
(* -1 (pow z 2)) |
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
| Outputs |
|---|
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(/ -1 (* x (+ 1 (pow z 2)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (* x (* y (+ 1 (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(pow x 2) |
(*.f64 x x) |
(/ -1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (+ 1 (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(- (/ (pow z 2) x) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal -1 binary64))) |
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x)) |
(fma.f64 (/.f64 z x) (-.f64 z (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 z z #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) x) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (pow z 2)) 1) |
(fma.f64 (neg.f64 z) z #s(literal -1 binary64)) |
y |
(+ y (* y (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) x)) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z)) |
(/ -1 (* x (pow z 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x)) |
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z)) |
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 6 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)))) (*.f64 z z)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(* -1 (* x (* y (pow z 2)))) |
(*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) x) y) |
(* -1 (pow z 2)) |
(*.f64 (neg.f64 z) z) |
(* -1 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))) |
(fma.f64 (neg.f64 z) z #s(literal -1 binary64)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 131 |
| 0 | 50 | 124 |
| 1 | 192 | 120 |
| 2 | 1242 | 120 |
| 0 | 8419 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(fma.f64 z z #s(literal 1 binary64)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) y) |
(neg.f64 (fma.f64 z z #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 z z)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 z z))) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y)) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y)) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 (*.f64 z z) y) (-.f64 (*.f64 (*.f64 z z) y) y)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 y) y)) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x) (neg.f64 y))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) x) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) x) (neg.f64 y))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) x) (neg.f64 y))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 y) y))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) y y))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 z #s(literal 1 binary64))) (-.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 z z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z))) |
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(+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 z z)) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (neg.f64 z) z))) |
(+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1 binary64))) |
Compiled 33 411 to 4 248 computations (87.3% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 594 | 13 | 1 607 |
| Fresh | 6 | 5 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 604 | 19 | 1 623 |
| Status | Accuracy | Program |
|---|---|---|
| 92.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) | |
| ▶ | 49.7% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
| 91.4% | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) | |
| ▶ | 93.9% | (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))) |
| 52.2% | (/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y)) | |
| ▶ | 91.1% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
| ▶ | 95.1% | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))) |
| 93.6% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))) | |
| 52.5% | (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* z z) 1) (*.f64 z z)))) | |
| 55.9% | (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)))) | |
| 49.6% | #s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) | |
| 54.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) | |
| 60.7% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)) | |
| 46.6% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) y)) | |
| ✓ | 60.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| 60.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) | |
| ▶ | 61.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
| 61.8% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))) | |
| 56.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) |
Compiled 621 to 475 computations (23.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) y) | |
| cost-diff | 0 | #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) | |
| cost-diff | -768 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (fma.f64 z z #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y (fma.f64 z z #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) x) z) | |
| cost-diff | 448 | (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 179 |
| 0 | 51 | 183 |
| 1 | 107 | 183 |
| 2 | 217 | 168 |
| 3 | 596 | 168 |
| 4 | 967 | 168 |
| 5 | 1227 | 168 |
| 6 | 1547 | 168 |
| 7 | 1961 | 168 |
| 8 | 2298 | 168 |
| 9 | 2418 | 168 |
| 10 | 2427 | 168 |
| 11 | 2432 | 168 |
| 12 | 2433 | 168 |
| 13 | 2433 | 168 |
| 0 | 2433 | 168 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
z |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 y x) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
y |
(fma.f64 z z #s(literal 1 binary64)) |
z |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) |
(neg.f64 x) |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 z (*.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 y) x) |
(*.f64 x (neg.f64 y)) |
(neg.f64 y) |
y |
x |
z |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x) |
#s(literal 1 binary64) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
y |
(fma.f64 z z #s(literal 1 binary64)) |
z |
x |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) |
(neg.f64 x) |
x |
(fma.f64 z z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.8544364997996753 | (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))) | |
| accuracy | 4.921395940622531 | (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 4.519603501235588 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) | |
| accuracy | 8.110551188262773 | (*.f64 (*.f64 z z) y) | |
| accuracy | 30.92271823627667 | #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) | |
| accuracy | 0 | (fma.f64 z z #s(literal 1 binary64)) | |
| accuracy | 0.5294002462170384 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) | |
| accuracy | 0.9628885798372055 | (*.f64 y (fma.f64 z z #s(literal 1 binary64))) | |
| accuracy | 4.215561818548519 | (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 1.071059578918947 | (/.f64 #s(literal 1 binary64) (*.f64 y x)) | |
| accuracy | 24.916308784141133 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.5294002462170384 | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))) | |
| accuracy | 0.5952304612650874 | (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x)) | |
| accuracy | 6.051174464143419 | (*.f64 (*.f64 (neg.f64 y) x) z) |
| 77.0ms | 256× | 0 | valid |
Compiled 351 to 61 computations (82.6% saved)
ival-div: 40.0ms (66.1% of total)ival-mult: 14.0ms (23.1% of total)ival-add: 3.0ms (5% of total)ival-neg: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(fma.f64 z z #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))) |
(*.f64 z z) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))) |
| Outputs |
|---|
(* x (+ (* -1 y) (* -1 (* y (pow z 2))))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x y)) |
(* x y) |
(* x (* y (+ 1 (pow z 2)))) |
(/ 1 x) |
(* -1 (* x (+ 1 (pow z 2)))) |
(* -1 x) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(* y (+ (* -1 x) (* -1 (* x (pow z 2))))) |
(* -1 y) |
(* y (+ 1 (pow z 2))) |
(* y (pow z 2)) |
(/ -1 y) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* x y) (* x (* y (pow z 2)))) |
y |
(+ y (* y (pow z 2))) |
1 |
(+ 1 (pow z 2)) |
(+ (* -1 x) (* -1 (* x (pow z 2)))) |
(pow z 2) |
(* -1 (* x (* y (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* -1 (* x (pow z 2))) |
(* (pow z 2) (+ (* -1 x) (* -1 (/ x (pow z 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | ((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (/ -1 y) (* (neg x) (+ (* z z) 1)) (neg x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (* z z) (/ (/ -1 y) (* (neg x) (+ (* z z) 1)))) |
| 7.0ms | x | @ | 0 | ((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (/ -1 y) (* (neg x) (+ (* z z) 1)) (neg x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (* z z) (/ (/ -1 y) (* (neg x) (+ (* z z) 1)))) |
| 4.0ms | y | @ | -inf | ((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (/ -1 y) (* (neg x) (+ (* z z) 1)) (neg x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (* z z) (/ (/ -1 y) (* (neg x) (+ (* z z) 1)))) |
| 4.0ms | y | @ | inf | ((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (/ -1 y) (* (neg x) (+ (* z z) 1)) (neg x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (* z z) (/ (/ -1 y) (* (neg x) (+ (* z z) 1)))) |
| 4.0ms | y | @ | 0 | ((+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* (neg y) x) z) (* (neg y) x) (neg y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (* (* y (+ (* z z) 1)) x) (* y (+ (* z z) 1)) (+ (* z z) 1) (/ 1 (* (* y (+ (* z z) 1)) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (/ -1 y) (* (neg x) (+ (* z z) 1)) (neg x) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (* z z) (/ (/ -1 y) (* (neg x) (+ (* z z) 1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 429 |
| 1 | 280 | 421 |
| 2 | 734 | 407 |
| 3 | 2868 | 390 |
| 4 | 6012 | 388 |
| 0 | 8274 | 372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* -1 y) (* -1 (* y (pow z 2))))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/ 1 (* x y)) |
(* x y) |
(* x (* y (+ 1 (pow z 2)))) |
(/ 1 x) |
(* -1 (* x (+ 1 (pow z 2)))) |
(* -1 x) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(* y (+ (* -1 x) (* -1 (* x (pow z 2))))) |
(* -1 y) |
(* y (+ 1 (pow z 2))) |
(* y (pow z 2)) |
(/ -1 y) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ x (* x (pow z 2))))) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* x y) (* x (* y (pow z 2)))) |
y |
(+ y (* y (pow z 2))) |
1 |
(+ 1 (pow z 2)) |
(+ (* -1 x) (* -1 (* x (pow z 2)))) |
(pow z 2) |
(* -1 (* x (* y (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(* -1 (* x (pow z 2))) |
(* (pow z 2) (+ (* -1 x) (* -1 (/ x (pow z 2))))) |
| Outputs |
|---|
(* x (+ (* -1 y) (* -1 (* y (pow z 2))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x y)) |
(* -1 (* x (* y z))) |
(*.f64 (*.f64 z x) (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(/ 1 (* x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(* x y) |
(*.f64 x y) |
(* x (* y (+ 1 (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ 1 (pow z 2)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) |
(* -1 x) |
(neg.f64 x) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* -1 (* x (+ y (* y (pow z 2))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x y)) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* y (+ (* -1 x) (* -1 (* x (pow z 2))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(* y (+ 1 (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(* -1 (* y (+ x (* x (pow z 2))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x y)) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x y)) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (fma.f64 z z #s(literal -1 binary64))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(fma.f64 (/.f64 (/.f64 z x) y) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (fma.f64 z z #s(literal -1 binary64)))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
y |
(+ y (* y (pow z 2))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow z 2)) |
(fma.f64 z z #s(literal 1 binary64)) |
(+ (* -1 x) (* -1 (* x (pow z 2)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) |
(pow z 2) |
(*.f64 z z) |
(* -1 (* x (* y (pow z 2)))) |
(*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 x y)) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y)) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z)) |
(* x (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) x) y) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y) |
(* (pow z 2) (+ 1 (/ 1 (pow z 2)))) |
(fma.f64 z z #s(literal 1 binary64)) |
(* -1 (* x (pow z 2))) |
(*.f64 (*.f64 z x) (neg.f64 z)) |
(* (pow z 2) (+ (* -1 x) (* -1 (/ x (pow z 2))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 155 |
| 0 | 51 | 147 |
| 1 | 193 | 147 |
| 2 | 1177 | 144 |
| 0 | 8582 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 y) x) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 z z #s(literal 1 binary64))) |
(fma.f64 z z #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))) |
(*.f64 z z) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (*.f64 x (neg.f64 y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (-.f64 x (*.f64 (*.f64 z x) z))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (neg.f64 y))) #s(literal 2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (*.f64 x y)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z (*.f64 x (neg.f64 y))) z) (*.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y)) x) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y) |
(*.f64 (neg.f64 x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x (neg.f64 y))) |
(*.f64 (*.f64 x y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) (*.f64 (*.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)) (pow.f64 (*.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (neg.f64 y)) (fma.f64 z z #s(literal 1 binary64))) |
(*.f64 x (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 y))) |
(*.f64 (neg.f64 y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) |
(*.f64 y (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 x (neg.f64 y))) z) #s(literal 4 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 4 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 z (neg.f64 y)) z y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
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(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (*.f64 z (*.f64 x (neg.f64 y))) z)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (neg.f64 y))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 x (neg.f64 y))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (neg.f64 z) z))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 z z)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 z #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) |
Compiled 29 252 to 4 019 computations (86.3% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 380 | 12 | 1 392 |
| Fresh | 10 | 3 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 394 | 17 | 1 411 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z y) z))) | |
| 66.6% | (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 x x))) x)) | |
| 57.0% | (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (+ (* z z) 1)) (*.f64 (*.f64 z x) (neg.f64 z)))) | |
| 96.5% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) x) z (*.f64 x y))) | |
| ▶ | 98.1% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
| 92.6% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) | |
| 90.8% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) | |
| ▶ | 49.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
| 52.0% | (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) | |
| 20.3% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)))))) | |
| ▶ | 55.9% | (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
| 54.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) | |
| ✓ | 60.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| ▶ | 60.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
| 47.6% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 y)) x))) | |
| ✓ | 61.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
| ▶ | 56.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) |
Compiled 600 to 416 computations (30.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (*.f64 y y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) | |
| cost-diff | 6784 | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) y) | |
| cost-diff | 0 | #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) | |
| cost-diff | 128 | (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) z) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 246 |
| 0 | 62 | 236 |
| 1 | 126 | 234 |
| 2 | 261 | 225 |
| 3 | 750 | 223 |
| 4 | 2028 | 223 |
| 5 | 3349 | 223 |
| 6 | 4730 | 223 |
| 7 | 5160 | 223 |
| 8 | 5396 | 223 |
| 9 | 5542 | 223 |
| 10 | 5679 | 223 |
| 11 | 6576 | 223 |
| 12 | 7292 | 223 |
| 13 | 7559 | 223 |
| 14 | 7721 | 223 |
| 15 | 7899 | 223 |
| 0 | 8062 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y)) |
(*.f64 (*.f64 z x) z) |
(*.f64 z x) |
z |
x |
y |
(*.f64 x y) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
x |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
#s(literal -1 binary64) |
#s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z))) |
(*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)) |
(*.f64 z x) |
z |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (*.f64 y y)) |
(*.f64 y y) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y)) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(*.f64 (*.f64 z x) z) |
(*.f64 (*.f64 x z) z) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
(*.f64 x y) |
(*.f64 y x) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
x |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y x)))) |
#s(literal -1 binary64) |
#s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z))) |
#s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 y x))) |
(*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (neg.f64 z) z) (*.f64 y x)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y) |
(/.f64 (/.f64 #s(literal 1 binary64) x) y) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) |
(/.f64 (/.f64 y x) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (*.f64 y y)) | |
| accuracy | 6.273051573484256 | (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) | |
| accuracy | 15.430445604587195 | (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y) | |
| accuracy | 24.916308784141133 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.5294002462170384 | (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) | |
| accuracy | 2.371649852236716 | (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)) | |
| accuracy | 26.74028586072052 | #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.5294002462170384 | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) | |
| accuracy | 4.215561818548519 | (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x) | |
| accuracy | 8.110551188262773 | (*.f64 (*.f64 z z) y) | |
| accuracy | 30.92271823627667 | #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.1875 | (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) | |
| accuracy | 24.916308784141133 | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 z x) z) | |
| accuracy | 0.5294002462170384 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) | |
| accuracy | 0.7352605791928818 | (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y)) |
| 163.0ms | 256× | 0 | valid |
Compiled 442 to 78 computations (82.4% saved)
ival-div: 106.0ms (72.7% of total)ival-mult: 32.0ms (22% of total)ival-add: 3.0ms (2.1% of total)ival-neg: 3.0ms (2.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y)) |
(*.f64 (*.f64 z x) z) |
(*.f64 z x) |
(*.f64 x y) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 x) |
(*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
#s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z))) |
(*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(neg.f64 y) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) |
| Outputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(* x (pow z 2)) |
(* x z) |
(* x y) |
(/ 1 (* x y)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(* -1 x) |
(* x (* y (+ 1 (pow z 2)))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* x (+ (* -1 y) (* -1 (* y (pow z 2))))) |
(* -1 (* x (* y (pow z 2)))) |
(/ -1 x) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (pow y 2))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ y (* y (pow z 2))))) |
(* y (+ x (* x (pow z 2)))) |
(/ -1 y) |
(* y (+ 1 (pow z 2))) |
(* y (pow z 2)) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* y (+ (* -1 x) (* -1 (* x (pow z 2))))) |
(* -1 (pow y 2)) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(* -1 y) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ x (* x (pow z 2))))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
(pow z 2) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | ((+ (* (* (* z x) z) y) (* x y)) (* (* z x) z) (* z x) (* x y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (* z z) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* z x) (* (neg y) z)) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ 1 (+ (* (* (* z x) z) y) (* x y))) (/ 1 (* (* y (+ 1 (* z z))) x)) (neg y) (/ (/ -1 x) (neg (* y y)))) |
| 5.0ms | x | @ | -inf | ((+ (* (* (* z x) z) y) (* x y)) (* (* z x) z) (* z x) (* x y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (* z z) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* z x) (* (neg y) z)) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ 1 (+ (* (* (* z x) z) y) (* x y))) (/ 1 (* (* y (+ 1 (* z z))) x)) (neg y) (/ (/ -1 x) (neg (* y y)))) |
| 4.0ms | x | @ | 0 | ((+ (* (* (* z x) z) y) (* x y)) (* (* z x) z) (* z x) (* x y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (* z z) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* z x) (* (neg y) z)) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ 1 (+ (* (* (* z x) z) y) (* x y))) (/ 1 (* (* y (+ 1 (* z z))) x)) (neg y) (/ (/ -1 x) (neg (* y y)))) |
| 3.0ms | x | @ | inf | ((+ (* (* (* z x) z) y) (* x y)) (* (* z x) z) (* z x) (* x y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (* z z) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* z x) (* (neg y) z)) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ 1 (+ (* (* (* z x) z) y) (* x y))) (/ 1 (* (* y (+ 1 (* z z))) x)) (neg y) (/ (/ -1 x) (neg (* y y)))) |
| 3.0ms | y | @ | inf | ((+ (* (* (* z x) z) y) (* x y)) (* (* z x) z) (* z x) (* x y) (/ (/ -1 y) (neg x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 y) (neg x) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (* z z) (/ -1 (+ (* (* (* (neg y) x) z) z) (* (neg y) x))) (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (* (* z x) (* (neg y) z)) (* (/ (/ -1 x) (neg (* y y))) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ -1 x) (neg (* y y)) (/ 1 (+ (* (* (* z x) z) y) (* x y))) (/ 1 (* (* y (+ 1 (* z z))) x)) (neg y) (/ (/ -1 x) (neg (* y y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 437 |
| 1 | 251 | 429 |
| 2 | 683 | 421 |
| 3 | 2222 | 401 |
| 4 | 5672 | 397 |
| 0 | 8117 | 379 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(* x (pow z 2)) |
(* x z) |
(* x y) |
(/ 1 (* x y)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(* -1 x) |
(* x (* y (+ 1 (pow z 2)))) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* x (+ (* -1 y) (* -1 (* y (pow z 2))))) |
(* -1 (* x (* y (pow z 2)))) |
(/ -1 x) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/ 1 (* x (pow y 2))) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(* -1 (* x (+ y (* y (pow z 2))))) |
(* y (+ x (* x (pow z 2)))) |
(/ -1 y) |
(* y (+ 1 (pow z 2))) |
(* y (pow z 2)) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* y (+ (* -1 x) (* -1 (* x (pow z 2))))) |
(* -1 (pow y 2)) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(* -1 y) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(* -1 (* y (+ x (* x (pow z 2))))) |
(+ (* x y) (* x (* y (pow z 2)))) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
y |
(+ y (* y (pow z 2))) |
(pow z 2) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
(* x (* y (pow z 2))) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(/ 1 (* x (* y (pow z 2)))) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
| Outputs |
|---|
(* x (+ y (* y (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(* x (pow z 2)) |
(*.f64 (*.f64 z z) x) |
(* x z) |
(*.f64 x z) |
(* x y) |
(*.f64 y x) |
(/ 1 (* x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 y x)) |
(/ 1 (* x (* y (+ 1 (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(* -1 x) |
(neg.f64 x) |
(* x (* y (+ 1 (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(* x (+ (* -1 y) (* -1 (* y (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) (*.f64 y x)) |
(* -1 (* x (* y (pow z 2)))) |
(*.f64 (*.f64 (neg.f64 z) x) (*.f64 y z)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ 1 (* x (+ y (* y (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(/ 1 (* x (pow y 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2)))))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(* -1 (* x (+ y (* y (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) (*.f64 y x)) |
(* y (+ x (* x (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* y (+ 1 (pow z 2))) |
(fma.f64 (*.f64 z z) y y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(* y (+ (* -1 x) (* -1 (* x (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) (*.f64 y x)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(/ 1 (* y (+ x (* x (pow z 2))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2)))))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(* -1 (* y (+ x (* x (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) (*.f64 y x)) |
(+ (* x y) (* x (* y (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y))) |
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)) |
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y))) |
(fma.f64 (/.f64 (/.f64 z y) x) (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 y) x))) |
y |
(+ y (* y (pow z 2))) |
(fma.f64 (*.f64 z z) y y) |
(pow z 2) |
(*.f64 z z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) (*.f64 y x)) |
(* x (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) x) y) |
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2)))) |
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) |
(/ 1 (* x (* y (pow z 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y)) |
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y))) (*.f64 z z)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) x) y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) x))) (*.f64 z z)) |
(* (pow z 2) (+ y (/ y (pow z 2)))) |
(fma.f64 (*.f64 z z) y y) |
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 218 |
| 0 | 62 | 208 |
| 1 | 220 | 197 |
| 2 | 1299 | 193 |
| 0 | 8774 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y)) |
(*.f64 (*.f64 z x) z) |
(*.f64 z x) |
(*.f64 x y) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 x) |
(*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x) |
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
#s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z))) |
(*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(neg.f64 y) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) |
| Outputs |
|---|
(*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64))) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) (neg.f64 y)) |
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) y) (/.f64 (*.f64 y (fma.f64 (*.f64 z z) x (neg.f64 x))) (fma.f64 (*.f64 z z) x (neg.f64 x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) |
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(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x))) |
(neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) |
(neg.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) |
Compiled 22 453 to 3 068 computations (86.3% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 004 | 6 | 1 010 |
| Fresh | 3 | 7 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 010 | 17 | 1 027 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z y) z))) | |
| 57.0% | (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (+ (* z z) 1)) (*.f64 (*.f64 z x) (neg.f64 z)))) | |
| 96.5% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) x) z (*.f64 x y))) | |
| 92.6% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) | |
| 90.8% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) | |
| 52.0% | (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) | |
| 20.3% | (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)))))) | |
| 56.6% | (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (*.f64 x z) z) (neg.f64 y)))) | |
| ✓ | 55.9% | (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
| 54.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) | |
| ✓ | 60.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
| 46.6% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))) | |
| ✓ | 60.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
| 57.0% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) | |
| 47.6% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 y)) x))) | |
| ✓ | 61.9% | #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
Compiled 1 167 to 423 computations (63.8% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (*.f64 x z) z) (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* z z) 1) (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) x) z (*.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z y) z))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)) |
(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) x))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (* (neg x) (+ (* z z) 1)) (*.f64 (*.f64 z x) (neg.f64 z)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 y)) x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) z) z (*.f64 (neg.f64 y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 x x))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))) (fma.f64 z z #s(literal 1 binary64)))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) y)) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)))))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
8 calls:
| 15.0ms | (*.f64 z z) |
| 14.0ms | y |
| 14.0ms | x |
| 14.0ms | (/.f64 #s(literal 1 binary64) x) |
| 13.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | y |
| 98.1% | 1 | z |
| 98.1% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 98.1% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 98.1% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 98.1% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.1% | 1 | (*.f64 z z) |
Compiled 32 to 40 computations (-25% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (*.f64 x z) z) (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* z z) 1) (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)))) |
8 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 #s(literal 1 binary64) x) |
| 7.0ms | (*.f64 z z) |
| 6.0ms | y |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 1 | x |
| 96.2% | 2 | y |
| 93.6% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 93.6% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 98.1% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 98.7% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.7% | 2 | (*.f64 z z) |
| 98.7% | 2 | z |
Compiled 32 to 40 computations (-25% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (*.f64 x z) z) (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(approx (+ (* z z) 1) (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) (fma.f64 z z #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (*.f64 x z) z) (neg.f64 y)))) |
3 calls:
| 7.0ms | z |
| 5.0ms | (*.f64 z z) |
| 5.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 2 | z |
| 98.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 98.1% | 2 | (*.f64 z z) |
Compiled 9 to 13 computations (-44.4% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)))) |
(/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 z x) (*.f64 (neg.f64 y) z)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)))) |
4 calls:
| 6.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 5.0ms | z |
| 5.0ms | (*.f64 z z) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 97.3% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 97.3% | 2 | (*.f64 z z) |
| 97.3% | 2 | z |
Compiled 16 to 20 computations (-25% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) |
8 calls:
| 6.0ms | x |
| 5.0ms | z |
| 5.0ms | y |
| 5.0ms | (/.f64 #s(literal 1 binary64) x) |
| 5.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | x |
| 92.6% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 92.6% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 95.1% | 2 | y |
| 92.6% | 1 | z |
| 92.6% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 92.6% | 1 | (*.f64 z z) |
| 92.6% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
Compiled 32 to 40 computations (-25% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y))) |
8 calls:
| 5.0ms | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 5.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 2 | z |
| 93.3% | 2 | (/.f64 #s(literal 1 binary64) x) |
| 93.6% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 93.6% | 2 | (*.f64 z z) |
| 93.6% | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 93.6% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 93.3% | 2 | x |
| 93.6% | 2 | y |
Compiled 32 to 40 computations (-25% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
3 calls:
| 4.0ms | y |
| 4.0ms | (*.f64 z z) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 93.6% | 2 | (*.f64 z z) |
| 91.1% | 1 | y |
Compiled 9 to 13 computations (-44.4% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (* z x) z) y) (* x y)) (*.f64 (*.f64 (*.f64 z z) x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 y z) z)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y)) x)) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y))) |
7 calls:
| 7.0ms | z |
| 4.0ms | (/.f64 #s(literal 1 binary64) x) |
| 4.0ms | x |
| 4.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 3.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 3 | (/.f64 #s(literal 1 binary64) x) |
| 67.5% | 3 | x |
| 75.5% | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 82.4% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 93.3% | 2 | z |
| 93.3% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 93.3% | 2 | (*.f64 z z) |
Compiled 31 to 37 computations (-19.4% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x))) |
4 calls:
| 6.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 3.0ms | z |
| 3.0ms | y |
| 2.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 2 | y |
| 90.8% | 2 | z |
| 90.8% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 90.8% | 2 | (*.f64 z z) |
Compiled 10 to 16 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
5 calls:
| 2.0ms | z |
| 2.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 2.0ms | (*.f64 z z) |
| 2.0ms | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 73.2% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 73.2% | 2 | z |
| 73.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 73.2% | 2 | (*.f64 z z) |
Compiled 27 to 29 computations (-7.4% saved)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
5 calls:
| 4.0ms | (*.f64 z z) |
| 2.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 1.0ms | z |
| 1.0ms | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
| 1.0ms | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.0% | 2 | z |
| 73.0% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 73.0% | 2 | (*.f64 z z) |
| 73.0% | 2 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 73.0% | 2 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
Compiled 27 to 29 computations (-7.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
8 calls:
| 1.0ms | (/.f64 #s(literal 1 binary64) x) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 1 | (/.f64 #s(literal 1 binary64) x) |
| 61.9% | 1 | x |
| 61.9% | 1 | y |
| 61.9% | 1 | z |
| 61.9% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 z z)) |
| 61.9% | 1 | (*.f64 z z) |
| 61.9% | 1 | (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) |
| 61.9% | 1 | (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) |
Compiled 32 to 40 computations (-25% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.7438781396449127e+134 | 6.881285791877961e+143 |
| 8.0ms | 112× | 0 | valid |
Compiled 238 to 211 computations (11.3% saved)
ival-mult: 4.0ms (68% of total)ival-div: 2.0ms (34% of total)ival-add: 1.0ms (17% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.586506191548912e+27 | 1.4113946525798507e+29 |
| 6.0ms | 112× | 0 | valid |
Compiled 252 to 190 computations (24.6% saved)
ival-div: 1.0ms (29.2% of total)ival-add: 1.0ms (29.2% of total)ival-mult: 1.0ms (29.2% 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 | 1.842188049974682e+306 | +inf |
Compiled 14 to 16 computations (-14.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 5.52759073970868e-5 | 18.359490650378607 |
| 3.0ms | 64× | 0 | valid |
Compiled 94 to 87 computations (7.4% saved)
ival-div: 1.0ms (51.2% of total)ival-mult: 1.0ms (51.2% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.693351992343564e+99 | 4.0012934824051963e+99 |
| 2.0ms | 32× | 0 | valid |
Compiled 54 to 51 computations (5.6% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 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 | 0.27633522521734893 | 3.60260935782459 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.27633522521734893 | 3.60260935782459 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.27633522521734893 | 3.60260935782459 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.34265447e-316 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.34265447e-316 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 413 |
| 1 | 126 | 413 |
| 2 | 153 | 413 |
| 3 | 189 | 413 |
| 4 | 212 | 413 |
| 5 | 222 | 413 |
| 6 | 225 | 413 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
(if (<=.f64 z #s(literal 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z))))) |
(if (<=.f64 z #s(literal 3599999999999999827932872704 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (*.f64 x z) z) (neg.f64 y))))) |
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z))))) |
(if (<=.f64 y #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))) |
(if (<=.f64 y #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z x) z) y (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) z) y (*.f64 y x))) |
(if (<=.f64 z #s(literal 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z))))) |
(if (<=.f64 z #s(literal 500000000000000011872716179325552678704328963914341093736732494335118714771010286284088814108041647064672984566920058037896706584945040786718720 binary64)) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x z))))) |
(if (<=.f64 z #s(literal 3599999999999999827932872704 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (*.f64 x z) z) (neg.f64 y))))) |
(if (<=.f64 z #s(literal 3599999999999999827932872704 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* (* (neg y) x) z) z) (* (neg y) x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) z) z) y)))) |
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 y z))))) |
(if (<=.f64 (*.f64 (+.f64 (*.f64 z z) #s(literal 1 binary64)) y) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg y) x) (+ (* z z) 1)) (*.f64 (*.f64 (neg.f64 z) y) (*.f64 x z))))) |
(if (<=.f64 y #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))) |
(if (<=.f64 y #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y z) z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))) |
(if (<=.f64 y #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x y)))) |
(if (<=.f64 y #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))) |
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (* y (+ (* z z) 1)) x) (*.f64 (*.f64 (*.f64 z z) x) y)))) |
(if (<=.f64 (*.f64 z z) #s(literal 1/2 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) x)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 z z) #s(literal 1 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(if (<=.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 z z) #s(literal 1 binary64)) y)) #s(literal 0 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 y (*.f64 (*.f64 y y) x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 218 |
| 0 | 62 | 208 |
| 1 | 220 | 197 |
| 2 | 1299 | 193 |
| 0 | 8774 | 184 |
| 0 | 95 | 447 |
| 1 | 269 | 444 |
| 2 | 780 | 420 |
| 3 | 3228 | 397 |
| 4 | 7270 | 395 |
| 0 | 8431 | 381 |
| 0 | 31 | 131 |
| 0 | 50 | 124 |
| 1 | 192 | 120 |
| 2 | 1242 | 120 |
| 0 | 8419 | 120 |
| 0 | 9 | 29 |
| 0 | 14 | 29 |
| 1 | 58 | 29 |
| 2 | 360 | 29 |
| 3 | 2750 | 29 |
| 0 | 9073 | 26 |
| 0 | 31 | 155 |
| 0 | 51 | 147 |
| 1 | 193 | 147 |
| 2 | 1177 | 144 |
| 0 | 8582 | 144 |
| 0 | 52 | 227 |
| 1 | 135 | 225 |
| 2 | 389 | 220 |
| 3 | 1477 | 203 |
| 4 | 3988 | 181 |
| 5 | 7678 | 181 |
| 0 | 8226 | 171 |
| 0 | 90 | 429 |
| 1 | 280 | 421 |
| 2 | 734 | 407 |
| 3 | 2868 | 390 |
| 4 | 6012 | 388 |
| 0 | 8274 | 372 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 258 to 593 computations (52.9% saved)
Compiled 1 530 to 646 computations (57.8% saved)
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