
Time bar (total: 7.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 503.0ms | 8 256× | 0 | valid |
ival-mult: 152.0ms (58.7% of total)ival-sub: 49.0ms (18.9% of total)ival-add: 43.0ms (16.6% of total)ival-true: 7.0ms (2.7% of total)exact: 5.0ms (1.9% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 y x) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 y x) #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) | n*o | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 0 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 432× | 0 | valid |
| 5.0ms | 22× | 3 | valid |
| 4.0ms | 38× | 1 | valid |
| 3.0ms | 20× | 2 | valid |
Compiled 97 to 36 computations (62.9% saved)
ival-mult: 8.0ms (42.8% of total)ival-sub: 4.0ms (21.4% of total)ival-add: 3.0ms (16.1% of total)adjust: 2.0ms (10.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 90 |
| 1 | 91 | 81 |
| 2 | 278 | 81 |
| 3 | 886 | 81 |
| 4 | 3290 | 81 |
| 5 | 4121 | 81 |
| 6 | 4473 | 81 |
| 7 | 4521 | 81 |
| 8 | 4528 | 81 |
| 9 | 4528 | 81 |
| 10 | 4624 | 81 |
| 11 | 4664 | 81 |
| 12 | 4664 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 19 | 9 |
| 2 | 37 | 9 |
| 3 | 85 | 9 |
| 4 | 201 | 9 |
| 5 | 320 | 9 |
| 6 | 451 | 9 |
| 7 | 767 | 9 |
| 8 | 1129 | 9 |
| 9 | 1477 | 9 |
| 10 | 1556 | 9 |
| 11 | 1563 | 9 |
| 12 | 1563 | 9 |
| 0 | 1563 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (*.f64 (-.f64 y x) #s(literal 6 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) | |
| cost-diff | 128 | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 19 | 28 |
| 2 | 37 | 28 |
| 3 | 85 | 28 |
| 4 | 201 | 28 |
| 5 | 320 | 28 |
| 6 | 451 | 28 |
| 7 | 767 | 28 |
| 8 | 1129 | 28 |
| 9 | 1477 | 28 |
| 10 | 1556 | 28 |
| 11 | 1563 | 28 |
| 12 | 1563 | 28 |
| 0 | 1563 | 27 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
x |
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) |
(*.f64 (-.f64 y x) #s(literal 6 binary64)) |
(-.f64 y x) |
y |
#s(literal 6 binary64) |
z |
| Outputs |
|---|
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x) |
x |
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) |
(*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) |
(*.f64 (-.f64 y x) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(-.f64 y x) |
y |
#s(literal 6 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) | |
| accuracy | 0.16796875 | (*.f64 (-.f64 y x) #s(literal 6 binary64)) | |
| accuracy | 0.6555105747870985 | (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) |
| 15.0ms | 216× | 0 | valid |
| 2.0ms | 11× | 3 | valid |
| 2.0ms | 19× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 58 to 18 computations (69% saved)
ival-mult: 4.0ms (32.4% of total)ival-sub: 4.0ms (32.4% of total)ival-add: 3.0ms (24.3% of total)adjust: 1.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) |
(*.f64 (-.f64 y x) #s(literal 6 binary64)) |
(-.f64 y x) |
| Outputs |
|---|
(* 6 (* y z)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(* 6 y) |
(+ (* -6 x) (* 6 y)) |
y |
(+ y (* -1 x)) |
(* x (+ 1 (* -6 z))) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(* -6 (* x z)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(* -6 x) |
(* x (- (* 6 (/ y x)) 6)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (* 6 z) 1))) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ x (* -6 (* x z))) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(- y x) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(* y (+ 6 (* -6 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(* -1 (* y (- (/ x y) 1))) |
x |
(+ x (* 6 (* z (- y x)))) |
(* 6 (* z (- y x))) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x)) |
| 1.0ms | x | @ | -inf | ((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x)) |
| 1.0ms | x | @ | inf | ((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x)) |
| 1.0ms | y | @ | inf | ((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x)) |
| 1.0ms | x | @ | 0 | ((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 277 |
| 1 | 311 | 247 |
| 2 | 910 | 207 |
| 3 | 2656 | 207 |
| 4 | 5509 | 207 |
| 5 | 7825 | 207 |
| 0 | 8088 | 195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 (* y z)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(* 6 y) |
(+ (* -6 x) (* 6 y)) |
y |
(+ y (* -1 x)) |
(* x (+ 1 (* -6 z))) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(* -6 (* x z)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(* -6 x) |
(* x (- (* 6 (/ y x)) 6)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (* 6 z) 1))) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(+ x (* -6 (* x z))) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(- y x) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(* y (+ 6 (* -6 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(* -1 (* y (- (/ x y) 1))) |
x |
(+ x (* 6 (* z (- y x)))) |
(* 6 (* z (- y x))) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
| Outputs |
|---|
(* 6 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 6 binary64)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* 6 y) |
(*.f64 #s(literal 6 binary64) y) |
(+ (* -6 x) (* 6 y)) |
(*.f64 (-.f64 x y) #s(literal -6 binary64)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* x (+ 1 (* -6 z))) |
(fma.f64 (*.f64 #s(literal -6 binary64) x) z x) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
(* -6 (* x z)) |
(*.f64 (*.f64 z x) #s(literal -6 binary64)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* -6 x) |
(*.f64 #s(literal -6 binary64) x) |
(* x (- (* 6 (/ y x)) 6)) |
(*.f64 (-.f64 x y) #s(literal -6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (* 6 z) 1))) |
(fma.f64 (*.f64 #s(literal -6 binary64) x) z x) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(*.f64 (-.f64 x y) #s(literal -6 binary64)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(+ x (* -6 (* x z))) |
(fma.f64 (*.f64 #s(literal -6 binary64) x) z x) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
(- y x) |
(-.f64 y x) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* y (+ 6 (* -6 (/ x y)))) |
(*.f64 (-.f64 x y) #s(literal -6 binary64)) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(*.f64 (-.f64 x y) #s(literal -6 binary64)) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
x |
(+ x (* 6 (* z (- y x)))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
(* 6 (* z (- y x))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(fma.f64 (*.f64 (-.f64 x y) #s(literal -6 binary64)) z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 42 | 24 |
| 2 | 318 | 24 |
| 3 | 4234 | 24 |
| 0 | 8208 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) |
(*.f64 (-.f64 y x) #s(literal 6 binary64)) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (-.f64 y x)) (*.f64 #s(literal 6 binary64) (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) (neg.f64 x)))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))) (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) (neg.f64 x))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 216 binary64) (pow.f64 (*.f64 (*.f64 z (-.f64 y x)) (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 z (-.f64 y x)) (*.f64 #s(literal 6 binary64) (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) (neg.f64 x)))) (-.f64 (*.f64 (*.f64 z (-.f64 y x)) (*.f64 #s(literal 6 binary64) (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) (neg.f64 x)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) #s(literal 2 binary64)))) (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)) |
(*.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x))) (/.f64 (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x) (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x))) (*.f64 (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x) (pow.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 x (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x) (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x) (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x))) |
(*.f64 (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x) (*.f64 (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) (neg.f64 x)) (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(neg.f64 (neg.f64 (-.f64 y x))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(-.f64 y x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 6 216 to 953 computations (84.7% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 246 | 9 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 247 | 9 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.2% | (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) |
| ▶ | 99.8% | (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
| ▶ | 99.8% | (fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
| 99.0% | (+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) | |
| 99.0% | (+.f64 x (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) z)) | |
| 77.6% | (+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) | |
| ▶ | 64.9% | (+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
| 64.1% | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) | |
| ▶ | 40.2% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
Compiled 224 to 182 computations (18.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| cost-diff | 1536 | (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (*.f64 z (-.f64 y x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) #s(literal -6 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 (*.f64 z y) #s(literal 6 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) | |
| cost-diff | 0 | (*.f64 z #s(literal 6 binary64)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 148 |
| 0 | 47 | 139 |
| 1 | 83 | 139 |
| 2 | 139 | 139 |
| 3 | 324 | 139 |
| 4 | 756 | 139 |
| 5 | 1826 | 139 |
| 6 | 3196 | 139 |
| 7 | 5814 | 139 |
| 0 | 8078 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
(-.f64 y x) |
y |
x |
(*.f64 z #s(literal 6 binary64)) |
z |
#s(literal 6 binary64) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
(*.f64 (*.f64 z y) #s(literal 6 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal 6 binary64) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
x |
#s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64))) |
(*.f64 (*.f64 z x) #s(literal -6 binary64)) |
(*.f64 z x) |
z |
#s(literal -6 binary64) |
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
(*.f64 z (-.f64 y x)) |
z |
(-.f64 y x) |
y |
x |
#s(literal 6 binary64) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) |
(*.f64 z #s(literal 6 binary64)) |
z |
#s(literal 6 binary64) |
(+.f64 y x) |
| Outputs |
|---|
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x) |
(-.f64 y x) |
y |
x |
(*.f64 z #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) z) |
z |
#s(literal 6 binary64) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
(*.f64 (*.f64 z y) #s(literal 6 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal 6 binary64) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
(+.f64 #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 #s(literal -6 binary64) x) z)) x) |
x |
#s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64))) |
#s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 #s(literal -6 binary64) x) z)) |
(*.f64 (*.f64 z x) #s(literal -6 binary64)) |
(*.f64 (*.f64 #s(literal -6 binary64) x) z) |
(*.f64 z x) |
z |
#s(literal -6 binary64) |
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x) |
(*.f64 z (-.f64 y x)) |
z |
(-.f64 y x) |
y |
x |
#s(literal 6 binary64) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) |
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) |
(*.f64 (/.f64 z (+.f64 x y)) #s(literal 6 binary64)) |
(*.f64 z #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) z) |
z |
#s(literal 6 binary64) |
(+.f64 y x) |
(+.f64 x y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.7013433791611858 | (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) | |
| accuracy | 1.5038897356333614 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| accuracy | 19.598790110950496 | (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.00390625 | (*.f64 z (-.f64 y x)) | |
| accuracy | 0.16015625 | (fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) | |
| accuracy | 0.0 | (+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.23503876953688402 | (*.f64 (*.f64 z x) #s(literal -6 binary64)) | |
| accuracy | 27.523388979257508 | #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64))) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.28353500976844204 | (*.f64 (*.f64 z y) #s(literal 6 binary64)) | |
| accuracy | 38.13175987173847 | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.0 | (*.f64 z #s(literal 6 binary64)) | |
| accuracy | 0.09765625 | (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
| 114.0ms | 256× | 0 | valid |
Compiled 285 to 57 computations (80% saved)
ival-add: 49.0ms (62.6% of total)ival-mult: 24.0ms (30.7% of total)ival-sub: 2.0ms (2.6% of total)ival-div: 2.0ms (2.6% of total)ival-neg: 1.0ms (1.3% 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 y x) (*.f64 z #s(literal 6 binary64)) x) |
(-.f64 y x) |
(*.f64 z #s(literal 6 binary64)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
(*.f64 (*.f64 z y) #s(literal 6 binary64)) |
(*.f64 z y) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
#s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64))) |
(*.f64 (*.f64 z x) #s(literal -6 binary64)) |
(*.f64 z x) |
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
(*.f64 z (-.f64 y x)) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
(*.f64 y y) |
(/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) |
| Outputs |
|---|
(* 6 (* y z)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
y |
(+ y (* -1 x)) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(* -6 (* x z)) |
(* x z) |
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(pow y 2) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(* -1 x) |
(* 6 (/ z y)) |
(+ (* -6 (/ (* x z) (pow y 2))) (* 6 (/ z y))) |
(+ (* 6 (/ z y)) (* x (+ (* -6 (/ z (pow y 2))) (* 6 (/ (* x z) (pow y 3)))))) |
(+ (* 6 (/ z y)) (* x (+ (* -6 (/ z (pow y 2))) (* x (+ (* -6 (/ (* x z) (pow y 4))) (* 6 (/ z (pow y 3)))))))) |
(* x (+ 1 (* -6 z))) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(* x (- (/ y x) 1)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* 6 (/ z x)) |
(/ (+ (* -6 (/ (* y z) x)) (* 6 z)) x) |
(/ (+ (* -6 (/ (* y z) x)) (+ (* 6 z) (* 6 (/ (* (pow y 2) z) (pow x 2))))) x) |
(/ (+ (* -6 (/ (* y z) x)) (+ (* -6 (/ (* (pow y 3) z) (pow x 3))) (+ (* 6 z) (* 6 (/ (* (pow y 2) z) (pow x 2)))))) x) |
(* -1 (* x (- (* 6 z) 1))) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (/ (+ (* -6 z) (* 6 (/ (* y z) x))) x)) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 6 (/ (* (pow y 2) z) x))) x))) x)) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* -1 (/ (+ (* -6 (* (pow y 2) z)) (* 6 (/ (* (pow y 3) z) x))) x))) x))) x)) |
(+ x (* -6 (* x z))) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(- y x) |
(+ (* -6 (/ (* y z) (pow x 2))) (* 6 (/ z x))) |
(+ (* 6 (/ z x)) (* y (+ (* -6 (/ z (pow x 2))) (* 6 (/ (* y z) (pow x 3)))))) |
(+ (* 6 (/ z x)) (* y (+ (* -6 (/ z (pow x 2))) (* y (+ (* -6 (/ (* y z) (pow x 4))) (* 6 (/ z (pow x 3)))))))) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (+ (* -6 (/ (* x z) y)) (* 6 z)) y) |
(/ (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (* 6 (/ (* (pow x 2) z) (pow y 2))))) y) |
(/ (+ (* -6 (/ (* x z) y)) (+ (* -6 (/ (* (pow x 3) z) (pow y 3))) (+ (* 6 z) (* 6 (/ (* (pow x 2) z) (pow y 2)))))) y) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (/ (+ (* -6 z) (* 6 (/ (* x z) y))) y)) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* x z)) (* 6 (/ (* (pow x 2) z) y))) y))) y)) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* x z)) (* -1 (/ (+ (* -6 (* (pow x 2) z)) (* 6 (/ (* (pow x 3) z) y))) y))) y))) y)) |
x |
(+ x (* 6 (* z (- y x)))) |
(* 6 z) |
(* 6 (* z (- y x))) |
(* z (- y x)) |
(+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))) |
(* 6 (/ z (+ x y))) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) |
(* z (+ (* 6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (/ x z))) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | ((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* z y) 6) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (* z x) -6) (* z x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (+ (* (+ (* (neg x) x) (* y y)) (/ (* z 6) (+ y x))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ (* z 6) (+ y x))) |
| 3.0ms | x | @ | 0 | ((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* z y) 6) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (* z x) -6) (* z x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (+ (* (+ (* (neg x) x) (* y y)) (/ (* z 6) (+ y x))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ (* z 6) (+ y x))) |
| 3.0ms | z | @ | -inf | ((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* z y) 6) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (* z x) -6) (* z x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (+ (* (+ (* (neg x) x) (* y y)) (/ (* z 6) (+ y x))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ (* z 6) (+ y x))) |
| 3.0ms | z | @ | inf | ((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* z y) 6) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (* z x) -6) (* z x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (+ (* (+ (* (neg x) x) (* y y)) (/ (* z 6) (+ y x))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ (* z 6) (+ y x))) |
| 2.0ms | y | @ | inf | ((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* z y) 6) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (* z x) -6) (* z x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (+ (* (+ (* (neg x) x) (* y y)) (/ (* z 6) (+ y x))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ (* z 6) (+ y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 855 |
| 1 | 726 | 790 |
| 2 | 2216 | 738 |
| 3 | 5311 | 709 |
| 0 | 8326 | 663 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 (* y z)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
y |
(+ y (* -1 x)) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(* -6 (* x z)) |
(* x z) |
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(pow y 2) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(* -1 x) |
(* 6 (/ z y)) |
(+ (* -6 (/ (* x z) (pow y 2))) (* 6 (/ z y))) |
(+ (* 6 (/ z y)) (* x (+ (* -6 (/ z (pow y 2))) (* 6 (/ (* x z) (pow y 3)))))) |
(+ (* 6 (/ z y)) (* x (+ (* -6 (/ z (pow y 2))) (* x (+ (* -6 (/ (* x z) (pow y 4))) (* 6 (/ z (pow y 3)))))))) |
(* x (+ 1 (* -6 z))) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(* x (- (/ y x) 1)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* 6 (/ z x)) |
(/ (+ (* -6 (/ (* y z) x)) (* 6 z)) x) |
(/ (+ (* -6 (/ (* y z) x)) (+ (* 6 z) (* 6 (/ (* (pow y 2) z) (pow x 2))))) x) |
(/ (+ (* -6 (/ (* y z) x)) (+ (* -6 (/ (* (pow y 3) z) (pow x 3))) (+ (* 6 z) (* 6 (/ (* (pow y 2) z) (pow x 2)))))) x) |
(* -1 (* x (- (* 6 z) 1))) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (/ (+ (* -6 z) (* 6 (/ (* y z) x))) x)) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 6 (/ (* (pow y 2) z) x))) x))) x)) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* -1 (/ (+ (* -6 (* (pow y 2) z)) (* 6 (/ (* (pow y 3) z) x))) x))) x))) x)) |
(+ x (* -6 (* x z))) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(- y x) |
(+ (* -6 (/ (* y z) (pow x 2))) (* 6 (/ z x))) |
(+ (* 6 (/ z x)) (* y (+ (* -6 (/ z (pow x 2))) (* 6 (/ (* y z) (pow x 3)))))) |
(+ (* 6 (/ z x)) (* y (+ (* -6 (/ z (pow x 2))) (* y (+ (* -6 (/ (* y z) (pow x 4))) (* 6 (/ z (pow x 3)))))))) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(/ (+ (* -6 (/ (* x z) y)) (* 6 z)) y) |
(/ (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (* 6 (/ (* (pow x 2) z) (pow y 2))))) y) |
(/ (+ (* -6 (/ (* x z) y)) (+ (* -6 (/ (* (pow x 3) z) (pow y 3))) (+ (* 6 z) (* 6 (/ (* (pow x 2) z) (pow y 2)))))) y) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (/ (+ (* -6 z) (* 6 (/ (* x z) y))) y)) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* x z)) (* 6 (/ (* (pow x 2) z) y))) y))) y)) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* x z)) (* -1 (/ (+ (* -6 (* (pow x 2) z)) (* 6 (/ (* (pow x 3) z) y))) y))) y))) y)) |
x |
(+ x (* 6 (* z (- y x)))) |
(* 6 z) |
(* 6 (* z (- y x))) |
(* z (- y x)) |
(+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))) |
(* 6 (/ z (+ x y))) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) |
(* z (+ (* 6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (/ x z))) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (* -1 (/ x z))))) |
| Outputs |
|---|
(* 6 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 6 binary64)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* -6 (* x z)) |
(*.f64 (*.f64 z x) #s(literal -6 binary64)) |
(* x z) |
(*.f64 z x) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(pow y 2) |
(*.f64 y y) |
(+ (* -1 (pow x 2)) (pow y 2)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(* -1 x) |
(neg.f64 x) |
(* 6 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal 6 binary64)) |
(+ (* -6 (/ (* x z) (pow y 2))) (* 6 (/ z y))) |
(*.f64 (/.f64 z y) (fma.f64 (/.f64 #s(literal -6 binary64) y) x #s(literal 6 binary64))) |
(+ (* 6 (/ z y)) (* x (+ (* -6 (/ z (pow y 2))) (* 6 (/ (* x z) (pow y 3)))))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z y) y) (+.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) y) #s(literal -6 binary64))) x (*.f64 (/.f64 z y) #s(literal 6 binary64))) |
(+ (* 6 (/ z y)) (* x (+ (* -6 (/ z (pow y 2))) (* x (+ (* -6 (/ (* x z) (pow y 4))) (* 6 (/ z (pow y 3)))))))) |
(fma.f64 (*.f64 (*.f64 z (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -6 binary64) x) (pow.f64 y #s(literal 4 binary64))))) x) x (*.f64 (/.f64 z y) (fma.f64 (/.f64 #s(literal -6 binary64) y) x #s(literal 6 binary64)))) |
(* x (+ 1 (* -6 z))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(* 6 (/ z x)) |
(*.f64 (/.f64 z x) #s(literal 6 binary64)) |
(/ (+ (* -6 (/ (* y z) x)) (* 6 z)) x) |
(/.f64 (*.f64 z (fma.f64 (/.f64 #s(literal -6 binary64) x) y #s(literal 6 binary64))) x) |
(/ (+ (* -6 (/ (* y z) x)) (+ (* 6 z) (* 6 (/ (* (pow y 2) z) (pow x 2))))) x) |
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 #s(literal -6 binary64) y (/.f64 (*.f64 (*.f64 y y) #s(literal 6 binary64)) x)) (*.f64 #s(literal 6 binary64) z)) x) |
(/ (+ (* -6 (/ (* y z) x)) (+ (* -6 (/ (* (pow y 3) z) (pow x 3))) (+ (* 6 z) (* 6 (/ (* (pow y 2) z) (pow x 2)))))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -6 binary64) z) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x)) (*.f64 (fma.f64 (/.f64 (/.f64 z x) x) (*.f64 y y) z) #s(literal 6 binary64))) x) |
(* -1 (* x (- (* 6 z) 1))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 (/ (+ (* -6 z) (* 6 (/ (* y z) x))) x)) |
(/.f64 (*.f64 z (fma.f64 (/.f64 #s(literal -6 binary64) x) y #s(literal 6 binary64))) x) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 6 (/ (* (pow y 2) z) x))) x))) x)) |
(/.f64 (fma.f64 #s(literal 6 binary64) z (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 z y) x) y) #s(literal 6 binary64) (*.f64 (*.f64 #s(literal -6 binary64) z) y)) x)) x) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* -1 (/ (+ (* -6 (* (pow y 2) z)) (* 6 (/ (* (pow y 3) z) x))) x))) x))) x)) |
(/.f64 (fma.f64 #s(literal 6 binary64) z (/.f64 (fma.f64 (*.f64 #s(literal -6 binary64) y) z (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x) #s(literal -6 binary64) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 6 binary64))) x)) x)) x) |
(+ x (* -6 (* x z))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(- y x) |
(-.f64 y x) |
(+ (* -6 (/ (* y z) (pow x 2))) (* 6 (/ z x))) |
(*.f64 (/.f64 z x) (fma.f64 (/.f64 #s(literal -6 binary64) x) y #s(literal 6 binary64))) |
(+ (* 6 (/ z x)) (* y (+ (* -6 (/ z (pow x 2))) (* 6 (/ (* y z) (pow x 3)))))) |
(fma.f64 (/.f64 (/.f64 y x) x) (*.f64 z (fma.f64 (/.f64 #s(literal 6 binary64) x) y #s(literal -6 binary64))) (*.f64 (/.f64 z x) #s(literal 6 binary64))) |
(+ (* 6 (/ z x)) (* y (+ (* -6 (/ z (pow x 2))) (* y (+ (* -6 (/ (* y z) (pow x 4))) (* 6 (/ z (pow x 3)))))))) |
(fma.f64 (*.f64 (*.f64 z (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -6 binary64) y) (pow.f64 x #s(literal 4 binary64))))) y) y (*.f64 (/.f64 z x) (fma.f64 (/.f64 #s(literal -6 binary64) x) y #s(literal 6 binary64)))) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2))))) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(/ (+ (* -6 (/ (* x z) y)) (* 6 z)) y) |
(/.f64 (*.f64 z (fma.f64 (/.f64 #s(literal -6 binary64) y) x #s(literal 6 binary64))) y) |
(/ (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (* 6 (/ (* (pow x 2) z) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 #s(literal -6 binary64) x (/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) y)) (*.f64 #s(literal 6 binary64) z)) y) |
(/ (+ (* -6 (/ (* x z) y)) (+ (* -6 (/ (* (pow x 3) z) (pow y 3))) (+ (* 6 z) (* 6 (/ (* (pow x 2) z) (pow y 2)))))) y) |
(/.f64 (fma.f64 (*.f64 #s(literal -6 binary64) z) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (/.f64 x y)) (*.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 z y) x) z) #s(literal 6 binary64))) y) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* -1 (/ (+ (* -6 z) (* 6 (/ (* x z) y))) y)) |
(/.f64 (*.f64 z (fma.f64 (/.f64 #s(literal -6 binary64) y) x #s(literal 6 binary64))) y) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* x z)) (* 6 (/ (* (pow x 2) z) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal 6 binary64) z (/.f64 (*.f64 (*.f64 #s(literal 6 binary64) z) (fma.f64 (/.f64 x y) x (neg.f64 x))) y)) y) |
(* -1 (/ (+ (* -6 z) (* -1 (/ (+ (* -6 (* x z)) (* -1 (/ (+ (* -6 (* (pow x 2) z)) (* 6 (/ (* (pow x 3) z) y))) y))) y))) y)) |
(/.f64 (fma.f64 #s(literal 6 binary64) z (/.f64 (fma.f64 (*.f64 #s(literal -6 binary64) x) z (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) y) #s(literal -6 binary64) (*.f64 (*.f64 (*.f64 x x) z) #s(literal 6 binary64))) y)) y)) y) |
x |
(+ x (* 6 (* z (- y x)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* 6 z) |
(*.f64 #s(literal 6 binary64) z) |
(* 6 (* z (- y x))) |
(*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)) (/.f64 z (+.f64 x y)) x) |
(* 6 (/ z (+ x y))) |
(*.f64 (/.f64 z (+.f64 x y)) #s(literal 6 binary64)) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)) (/.f64 z (+.f64 x y))) |
(* z (+ (* 6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (/ x z))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)) (/.f64 z (+.f64 x y)) x) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (* z (+ (* -6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (* -1 (/ x z))))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)) (/.f64 z (+.f64 x y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 121 |
| 0 | 47 | 112 |
| 1 | 178 | 112 |
| 2 | 1220 | 112 |
| 0 | 8608 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
(-.f64 y x) |
(*.f64 z #s(literal 6 binary64)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
(*.f64 (*.f64 z y) #s(literal 6 binary64)) |
(*.f64 z y) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
#s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64))) |
(*.f64 (*.f64 z x) #s(literal -6 binary64)) |
(*.f64 z x) |
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
(*.f64 z (-.f64 y x)) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
(*.f64 y y) |
(/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) |
| Outputs |
|---|
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) #s(literal 36 binary64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) (neg.f64 x))))) |
(*.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -36 binary64) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z))))) |
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(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) (fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) (neg.f64 x)) (*.f64 x x))))) |
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(+.f64 (*.f64 y (*.f64 (/.f64 z (+.f64 x y)) (/.f64 #s(literal 6 binary64) (-.f64 y x)))) (*.f64 (neg.f64 x) (*.f64 (/.f64 z (+.f64 x y)) (/.f64 #s(literal 6 binary64) (-.f64 y x))))) |
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) (/.f64 (*.f64 #s(literal 6 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 6 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 6 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 (*.f64 #s(literal 6 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 x y)) (/.f64 #s(literal 6 binary64) (-.f64 y x))) (neg.f64 x)) (*.f64 (*.f64 (/.f64 z (+.f64 x y)) (/.f64 #s(literal 6 binary64) (-.f64 y x))) y)) |
(+.f64 (*.f64 (*.f64 (/.f64 z (+.f64 x y)) (/.f64 #s(literal 6 binary64) (-.f64 y x))) y) (*.f64 (*.f64 (/.f64 z (+.f64 x y)) (/.f64 #s(literal 6 binary64) (-.f64 y x))) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (-.f64 x y))) (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (-.f64 x y)))) |
Compiled 14 474 to 1 556 computations (89.2% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 8 | 527 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 521 | 15 | 536 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 6 binary64) x) |
| ✓ | 99.8% | (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
| ✓ | 99.8% | (fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
| 49.0% | (fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) | |
| 57.9% | (fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) | |
| ▶ | 77.6% | (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
| 99.0% | (+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) | |
| ▶ | 77.6% | (+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
| ✓ | 64.9% | (+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
| 65.3% | (+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 #s(literal -6 binary64) z) x))) | |
| 65.3% | #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) | |
| ▶ | 64.1% | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
| ✓ | 40.2% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
| 40.7% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) | |
| ▶ | 40.3% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
Compiled 376 to 294 computations (21.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) y) | |
| cost-diff | 0 | #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) | |
| cost-diff | 128 | (+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (* z (- y x)) (*.f64 z y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) | |
| cost-diff | 0 | (*.f64 #s(literal -6 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -6 binary64) x) z x) | |
| cost-diff | 0 | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) | |
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 6 binary64) y) z) | |
| cost-diff | 0 | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (pow.f64 (-.f64 y x) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 6 binary64) x) | |
| cost-diff | 6848 | (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 152 |
| 0 | 42 | 152 |
| 1 | 70 | 152 |
| 2 | 106 | 146 |
| 3 | 159 | 146 |
| 4 | 276 | 146 |
| 5 | 431 | 146 |
| 6 | 630 | 146 |
| 7 | 1103 | 146 |
| 8 | 1569 | 146 |
| 9 | 1990 | 146 |
| 10 | 2227 | 146 |
| 11 | 2285 | 146 |
| 12 | 2301 | 146 |
| 13 | 2304 | 146 |
| 14 | 2304 | 146 |
| 0 | 2304 | 145 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 6 binary64) x) |
(/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
z |
(pow.f64 (-.f64 y x) #s(literal -1 binary64)) |
(-.f64 y x) |
y |
x |
#s(literal -1 binary64) |
#s(literal 6 binary64) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
(*.f64 (*.f64 #s(literal 6 binary64) y) z) |
(*.f64 #s(literal 6 binary64) y) |
#s(literal 6 binary64) |
y |
z |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
(fma.f64 (*.f64 #s(literal -6 binary64) x) z x) |
(*.f64 #s(literal -6 binary64) x) |
#s(literal -6 binary64) |
x |
z |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
#s(approx (* z (- y x)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(literal 6 binary64) |
x |
(+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
x |
(*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
(*.f64 #s(literal 6 binary64) y) |
#s(literal 6 binary64) |
y |
z |
| Outputs |
|---|
(fma.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 6 binary64) x) |
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z x) |
(/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (-.f64 y x) z) |
z |
(pow.f64 (-.f64 y x) #s(literal -1 binary64)) |
(-.f64 y x) |
y |
x |
#s(literal -1 binary64) |
#s(literal 6 binary64) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
(*.f64 (*.f64 #s(literal 6 binary64) y) z) |
(*.f64 #s(literal 6 binary64) y) |
#s(literal 6 binary64) |
y |
z |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 #s(literal -6 binary64) x) z x) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(*.f64 #s(literal -6 binary64) x) |
#s(literal -6 binary64) |
x |
z |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 y z)) #s(literal 6 binary64) x) |
#s(approx (* z (- y x)) (*.f64 z y)) |
#s(approx (* z (- y x)) (*.f64 y z)) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 6 binary64) |
x |
(+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
x |
(*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
(*.f64 #s(literal 6 binary64) y) |
#s(literal 6 binary64) |
y |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) | |
| accuracy | 0.0 | (*.f64 #s(literal 6 binary64) y) | |
| accuracy | 0.6555105747870985 | (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) | |
| accuracy | 32.005864021528254 | #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.16015625 | (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) | |
| accuracy | 29.673707741710924 | #s(approx (* z (- y x)) (*.f64 z y)) | |
| accuracy | 0.0 | (*.f64 #s(literal -6 binary64) x) | |
| accuracy | 0.6093628622576959 | (fma.f64 (*.f64 #s(literal -6 binary64) x) z x) | |
| accuracy | 22.440294593249266 | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 6 binary64) y) | |
| accuracy | 0.18359375 | (*.f64 (*.f64 #s(literal 6 binary64) y) z) | |
| accuracy | 38.13175987173847 | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) | |
| accuracy | 0.0 | (-.f64 y x) | |
| accuracy | 0.01171875 | (pow.f64 (-.f64 y x) #s(literal -1 binary64)) | |
| accuracy | 0.16015625 | (fma.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 6 binary64) x) | |
| accuracy | 0.21875 | (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
| 51.0ms | 216× | 0 | valid |
| 7.0ms | 11× | 3 | valid |
| 6.0ms | 19× | 1 | valid |
| 5.0ms | 10× | 2 | valid |
Compiled 276 to 53 computations (80.8% saved)
ival-mult: 26.0ms (57.5% of total)ival-add: 6.0ms (13.3% of total)ival-pow: 5.0ms (11.1% of total)adjust: 3.0ms (6.6% of total)ival-div: 2.0ms (4.4% of total)ival-sub: 2.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 6 binary64) x) |
(pow.f64 (-.f64 y x) #s(literal -1 binary64)) |
(-.f64 y x) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
(*.f64 (*.f64 #s(literal 6 binary64) y) z) |
(*.f64 #s(literal 6 binary64) y) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
(fma.f64 (*.f64 #s(literal -6 binary64) x) z x) |
(*.f64 #s(literal -6 binary64) x) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
#s(approx (* z (- y x)) (*.f64 z y)) |
(*.f64 z y) |
(+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
(*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
| Outputs |
|---|
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(* 6 (* y z)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ y (* -1 x)) |
(* x (+ 1 (* -6 z))) |
(* -6 x) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(* 6 y) |
(+ (* -6 x) (* 6 y)) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(/ -1 x) |
(/ (- (* -1 (/ y x)) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) |
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -6 (* x z)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(* x (- (* 6 (/ y x)) 6)) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* 6 z) 1))) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(* -1 (/ (+ 1 (/ y x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(+ x (* -6 (* x z))) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- y x) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(/ (+ 1 (/ x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(* y (+ 6 (* -6 (/ x y)))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(* z (- y x)) |
x |
(+ x (* 6 (* z (- y x)))) |
(* 6 (* z (- y x))) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(* z (+ (* -6 x) (/ x z))) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | z | @ | -inf | ((/ z (pow (- y x) -1)) (+ (* (/ z (pow (- y x) -1)) 6) x) (pow (- y x) -1) (- y x) (+ x (* (* (- y x) 6) z)) (* (* 6 y) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 x) z) x) (* -6 x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6)) |
| 1.0ms | y | @ | -inf | ((/ z (pow (- y x) -1)) (+ (* (/ z (pow (- y x) -1)) 6) x) (pow (- y x) -1) (- y x) (+ x (* (* (- y x) 6) z)) (* (* 6 y) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 x) z) x) (* -6 x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6)) |
| 1.0ms | x | @ | inf | ((/ z (pow (- y x) -1)) (+ (* (/ z (pow (- y x) -1)) 6) x) (pow (- y x) -1) (- y x) (+ x (* (* (- y x) 6) z)) (* (* 6 y) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 x) z) x) (* -6 x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6)) |
| 1.0ms | x | @ | -inf | ((/ z (pow (- y x) -1)) (+ (* (/ z (pow (- y x) -1)) 6) x) (pow (- y x) -1) (- y x) (+ x (* (* (- y x) 6) z)) (* (* 6 y) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 x) z) x) (* -6 x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6)) |
| 1.0ms | x | @ | 0 | ((/ z (pow (- y x) -1)) (+ (* (/ z (pow (- y x) -1)) 6) x) (pow (- y x) -1) (- y x) (+ x (* (* (- y x) 6) z)) (* (* 6 y) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 x) z) x) (* -6 x) (+ (* (* z (- y x)) 6) x) (* z (- y x)) (* z y) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 228 | 657 |
| 1 | 711 | 621 |
| 2 | 2039 | 553 |
| 3 | 6311 | 534 |
| 0 | 8375 | 499 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(* 6 (* y z)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ y (* -1 x)) |
(* x (+ 1 (* -6 z))) |
(* -6 x) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(* 6 y) |
(+ (* -6 x) (* 6 y)) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(/ -1 x) |
(/ (- (* -1 (/ y x)) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) |
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* -6 (* x z)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(* x (- (* 6 (/ y x)) 6)) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* 6 z) 1))) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(* -1 (/ (+ 1 (/ y x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(+ x (* -6 (* x z))) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- y x) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(/ (+ 1 (/ x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(* y (+ 6 (* -6 (/ x y)))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y)) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(* z (- y x)) |
x |
(+ x (* 6 (* z (- y x)))) |
(* 6 (* z (- y x))) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(* z (+ (* -6 x) (/ x z))) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x)))) |
| Outputs |
|---|
(* y z) |
(*.f64 y z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(* 6 (* y z)) |
(*.f64 (*.f64 y z) #s(literal 6 binary64)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) |
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(* x (+ 1 (* -6 z))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(* -6 x) |
(*.f64 #s(literal -6 binary64) x) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* 6 y) |
(*.f64 #s(literal 6 binary64) y) |
(+ (* -6 x) (* 6 y)) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (/ y x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) |
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -6 (* x z)) |
(*.f64 (*.f64 #s(literal -6 binary64) x) z) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* x (- (* 6 (/ y x)) 6)) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* x (- (* 6 z) 1))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (/ (+ 1 (/ y x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(+ x (* -6 (* x z))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) |
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y) y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)) |
(- y x) |
(-.f64 y x) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 z (/.f64 (*.f64 x z) y)) y) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(fma.f64 (*.f64 z (fma.f64 (/.f64 x y) #s(literal -6 binary64) #s(literal 6 binary64))) y x) |
(/ (+ 1 (/ x y)) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(*.f64 (*.f64 z (fma.f64 (/.f64 x y) #s(literal -6 binary64) #s(literal 6 binary64))) y) |
(* y (+ 6 (* -6 (/ x y)))) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 z (/.f64 (*.f64 x z) y)) y) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(fma.f64 (*.f64 z (fma.f64 (/.f64 x y) #s(literal -6 binary64) #s(literal 6 binary64))) y x) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y) #s(literal -1 binary64)) y) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(*.f64 (*.f64 z (fma.f64 (/.f64 x y) #s(literal -6 binary64) #s(literal 6 binary64))) y) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) #s(literal 6 binary64) #s(literal 6 binary64)) y) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
x |
(+ x (* 6 (* z (- y x)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* 6 (* z (- y x))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* z (+ (* -6 x) (/ x z))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x)))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 130 |
| 0 | 42 | 130 |
| 1 | 148 | 124 |
| 2 | 1067 | 124 |
| 0 | 8871 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 6 binary64) x) |
(pow.f64 (-.f64 y x) #s(literal -1 binary64)) |
(-.f64 y x) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
(*.f64 (*.f64 #s(literal 6 binary64) y) z) |
(*.f64 #s(literal 6 binary64) y) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
(fma.f64 (*.f64 #s(literal -6 binary64) x) z x) |
(*.f64 #s(literal -6 binary64) x) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
#s(approx (* z (- y x)) (*.f64 z y)) |
(*.f64 z y) |
(+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
(*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (-.f64 y x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) (/.f64 z (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 z (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/2 binary64)) (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) z)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 z (+.f64 x y)) (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) z)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) z)) |
(*.f64 (neg.f64 z) (neg.f64 (-.f64 y x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) z)) |
(*.f64 (-.f64 y x) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 y x) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (-.f64 y x))) |
(*.f64 z (-.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 (neg.f64 x) z))) (-.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 (neg.f64 x) z) (*.f64 (neg.f64 x) z)) (*.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) z))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 x y)) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) z)) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 z (+.f64 x y)) (-.f64 y x)) (+.f64 x y)) |
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(/.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (-.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) z)) |
(/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 y x)))) |
(neg.f64 (*.f64 (neg.f64 z) (-.f64 y x))) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 y z)) |
(fma.f64 (neg.f64 x) z (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) |
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 y z)) |
(fma.f64 y z (*.f64 (neg.f64 x) z)) |
(fma.f64 z (neg.f64 x) (*.f64 y z)) |
(fma.f64 z y (*.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x))) (*.f64 (neg.f64 z) (-.f64 y x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (-.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) |
(+.f64 (*.f64 (neg.f64 x) z) (*.f64 y z)) |
(+.f64 (*.f64 y z) (*.f64 (neg.f64 x) z)) |
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) (fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z (neg.f64 x)) (*.f64 x x))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (pow.f64 (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z) #s(literal 2 binary64)))))) |
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(*.f64 (fma.f64 x x (*.f64 #s(literal -36 binary64) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z (neg.f64 x)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z (neg.f64 x)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)))) (+.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64)))) (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z (neg.f64 x)) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64))) (neg.f64 (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z (neg.f64 x)) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z))))) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
(fma.f64 z #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64)) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z))) (/.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z))))) |
(+.f64 (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) x) |
(+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
(*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z) |
(*.f64 z #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y))) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
Compiled 12 048 to 1 500 computations (87.5% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 441 | 3 | 444 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 445 | 14 | 459 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.6% | (fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) |
| ✓ | 99.8% | (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
| ✓ | 99.8% | (fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
| 49.0% | (fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) | |
| 57.9% | (fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) | |
| ▶ | 77.6% | (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
| ✓ | 77.6% | (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
| ▶ | 99.0% | (+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) |
| ✓ | 64.9% | (+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
| ▶ | 65.3% | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
| ✓ | 64.1% | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
| ✓ | 40.2% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
| ▶ | 40.7% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
| ✓ | 40.3% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
Compiled 309 to 239 computations (22.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) | |
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) y) | |
| cost-diff | 0 | #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) | |
| cost-diff | 0 | (*.f64 #s(literal -6 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -6 binary64) z) x x) | |
| cost-diff | 0 | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) | |
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) z) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 6 binary64) z) y) | |
| cost-diff | 0 | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 6 binary64) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z) | |
| cost-diff | 128 | (+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) | |
| cost-diff | 192 | (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 156 |
| 0 | 44 | 156 |
| 1 | 75 | 156 |
| 2 | 109 | 153 |
| 3 | 158 | 153 |
| 4 | 243 | 153 |
| 5 | 407 | 153 |
| 6 | 542 | 153 |
| 7 | 923 | 153 |
| 8 | 1384 | 153 |
| 9 | 1791 | 153 |
| 10 | 2076 | 153 |
| 11 | 2230 | 153 |
| 12 | 2444 | 153 |
| 13 | 2498 | 153 |
| 14 | 2569 | 153 |
| 15 | 3227 | 153 |
| 16 | 3265 | 153 |
| 17 | 3273 | 153 |
| 18 | 3280 | 153 |
| 19 | 3281 | 153 |
| 0 | 3281 | 150 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) |
x |
(*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z) |
(fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) |
#s(literal -6 binary64) |
(*.f64 #s(literal 6 binary64) y) |
#s(literal 6 binary64) |
y |
z |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
(*.f64 (*.f64 #s(literal 6 binary64) z) y) |
(*.f64 #s(literal 6 binary64) z) |
#s(literal 6 binary64) |
z |
y |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x) |
(*.f64 #s(literal -6 binary64) z) |
#s(literal -6 binary64) |
z |
x |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
(*.f64 #s(literal 6 binary64) y) |
#s(literal 6 binary64) |
y |
z |
x |
(fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) |
(/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) |
z |
#s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal 6 binary64) |
x |
| Outputs |
|---|
(+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) |
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z x) |
x |
(*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z) |
(*.f64 (*.f64 (-.f64 x y) z) #s(literal -6 binary64)) |
(fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) |
(*.f64 (-.f64 y x) #s(literal 6 binary64)) |
#s(literal -6 binary64) |
(*.f64 #s(literal 6 binary64) y) |
(*.f64 y #s(literal 6 binary64)) |
#s(literal 6 binary64) |
y |
z |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
(*.f64 (*.f64 #s(literal 6 binary64) z) y) |
(*.f64 (*.f64 z y) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) z) |
(*.f64 z #s(literal 6 binary64)) |
#s(literal 6 binary64) |
z |
y |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z #s(literal -6 binary64)) x x)) |
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x) |
(fma.f64 (*.f64 z #s(literal -6 binary64)) x x) |
(*.f64 #s(literal -6 binary64) z) |
(*.f64 z #s(literal -6 binary64)) |
#s(literal -6 binary64) |
z |
x |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) |
(*.f64 #s(literal 6 binary64) y) |
(*.f64 y #s(literal 6 binary64)) |
#s(literal 6 binary64) |
y |
z |
x |
(fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) |
(fma.f64 (/.f64 #s(literal 6 binary64) #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) z x) |
(/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) |
z |
#s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal 6 binary64) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.16015625 | (fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) | |
| accuracy | 0.21875 | (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 31.896532161736133 | #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal 6 binary64) y) | |
| accuracy | 0.6406128622576959 | (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) | |
| accuracy | 32.005864021528254 | #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) | |
| accuracy | 0.0 | (*.f64 #s(literal -6 binary64) z) | |
| accuracy | 0.3147981852223327 | (fma.f64 (*.f64 #s(literal -6 binary64) z) x x) | |
| accuracy | 22.440294593249266 | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 6 binary64) z) | |
| accuracy | 0.40158794117937946 | (*.f64 (*.f64 #s(literal 6 binary64) z) y) | |
| accuracy | 38.13175987173847 | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) | |
| accuracy | 0.0 | (+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) | |
| accuracy | 0.0 | (*.f64 #s(literal 6 binary64) y) | |
| accuracy | 0.08984375 | (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) | |
| accuracy | 0.6555105747870985 | (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z) |
| 118.0ms | 216× | 0 | valid |
| 33.0ms | 10× | 2 | valid |
| 8.0ms | 11× | 3 | valid |
| 7.0ms | 19× | 1 | valid |
Compiled 287 to 58 computations (79.8% saved)
ival-add: 50.0ms (42.5% of total)ival-div: 34.0ms (28.9% of total)ival-mult: 22.0ms (18.7% of total)ival-pow: 5.0ms (4.2% of total)adjust: 4.0ms (3.4% of total)ival-sub: 2.0ms (1.7% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) |
(+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) |
(*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z) |
(*.f64 #s(literal 6 binary64) y) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
(*.f64 (*.f64 #s(literal 6 binary64) z) y) |
(*.f64 #s(literal 6 binary64) z) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x) |
(*.f64 #s(literal -6 binary64) z) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
(fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) |
(/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(* 6 y) |
(+ (* -6 x) (* 6 y)) |
(* 6 (* y z)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(* x (+ 1 (* -6 z))) |
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -6 x) |
(* x (- (* 6 (/ y x)) 6)) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(* -6 (* x z)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(/ -1 x) |
(/ (- (* -1 (/ y x)) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) |
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(* -1 (* x (- (* 6 z) 1))) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (/ (+ 1 (/ y x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) |
(+ x (* -6 (* x z))) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(* y (+ 6 (* -6 (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(/ (+ 1 (/ x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y)) |
x |
(+ x (* z (+ (* -6 x) (* 6 y)))) |
(* z (+ (* -6 x) (* 6 y))) |
(+ x (* 6 (* z (- y x)))) |
(* 6 z) |
(* -6 z) |
(* z (- y x)) |
(* z (+ (* -6 x) (+ (* 6 y) (/ x z)))) |
(* 6 (* z (- y x))) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(* z (+ (* -6 x) (/ x z))) |
(* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((+ (* -6 x) (* 6 y)) (+ x (* (+ (* -6 x) (* 6 y)) z)) (* (+ (* -6 x) (* 6 y)) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (* (* 6 z) y) (* 6 z) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 z) x) x) (* -6 z) (+ (* (* (- y x) 6) z) x) (* (- y x) 6) (+ (* (/ z (pow (- y x) -1)) 6) x) (/ z (pow (- y x) -1)) (pow (- y x) -1) (/ 1 y)) |
| 2.0ms | z | @ | inf | ((+ (* -6 x) (* 6 y)) (+ x (* (+ (* -6 x) (* 6 y)) z)) (* (+ (* -6 x) (* 6 y)) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (* (* 6 z) y) (* 6 z) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 z) x) x) (* -6 z) (+ (* (* (- y x) 6) z) x) (* (- y x) 6) (+ (* (/ z (pow (- y x) -1)) 6) x) (/ z (pow (- y x) -1)) (pow (- y x) -1) (/ 1 y)) |
| 2.0ms | z | @ | 0 | ((+ (* -6 x) (* 6 y)) (+ x (* (+ (* -6 x) (* 6 y)) z)) (* (+ (* -6 x) (* 6 y)) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (* (* 6 z) y) (* 6 z) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 z) x) x) (* -6 z) (+ (* (* (- y x) 6) z) x) (* (- y x) 6) (+ (* (/ z (pow (- y x) -1)) 6) x) (/ z (pow (- y x) -1)) (pow (- y x) -1) (/ 1 y)) |
| 1.0ms | y | @ | -inf | ((+ (* -6 x) (* 6 y)) (+ x (* (+ (* -6 x) (* 6 y)) z)) (* (+ (* -6 x) (* 6 y)) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (* (* 6 z) y) (* 6 z) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 z) x) x) (* -6 z) (+ (* (* (- y x) 6) z) x) (* (- y x) 6) (+ (* (/ z (pow (- y x) -1)) 6) x) (/ z (pow (- y x) -1)) (pow (- y x) -1) (/ 1 y)) |
| 1.0ms | x | @ | inf | ((+ (* -6 x) (* 6 y)) (+ x (* (+ (* -6 x) (* 6 y)) z)) (* (+ (* -6 x) (* 6 y)) z) (* 6 y) (+ x (* (* (- y x) 6) z)) (* (* 6 z) y) (* 6 z) (+ x (* (* (- y x) 6) z)) (+ (* (* -6 z) x) x) (* -6 z) (+ (* (* (- y x) 6) z) x) (* (- y x) 6) (+ (* (/ z (pow (- y x) -1)) 6) x) (/ z (pow (- y x) -1)) (pow (- y x) -1) (/ 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 675 |
| 1 | 718 | 623 |
| 2 | 2080 | 539 |
| 3 | 6599 | 529 |
| 0 | 8341 | 495 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 y) |
(+ (* -6 x) (* 6 y)) |
(* 6 (* y z)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(* x (+ 1 (* -6 z))) |
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -6 x) |
(* x (- (* 6 (/ y x)) 6)) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(* -6 (* x z)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(/ -1 x) |
(/ (- (* -1 (/ y x)) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) |
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(* -1 (* x (- (* 6 z) 1))) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (/ (+ 1 (/ y x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) |
(+ x (* -6 (* x z))) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(* y (+ 6 (* -6 (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(/ (+ 1 (/ x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y)) |
x |
(+ x (* z (+ (* -6 x) (* 6 y)))) |
(* z (+ (* -6 x) (* 6 y))) |
(+ x (* 6 (* z (- y x)))) |
(* 6 z) |
(* -6 z) |
(* z (- y x)) |
(* z (+ (* -6 x) (+ (* 6 y) (/ x z)))) |
(* 6 (* z (- y x))) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(* z (+ (* -6 x) (/ x z))) |
(* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x)))) |
| Outputs |
|---|
(* 6 y) |
(*.f64 #s(literal 6 binary64) y) |
(+ (* -6 x) (* 6 y)) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(* 6 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 6 binary64)) |
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(+ (* -6 (* x z)) (* 6 (* y z))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* x (+ 1 (* -6 z))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) |
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)) |
(* -6 x) |
(*.f64 #s(literal -6 binary64) x) |
(* x (- (* 6 (/ y x)) 6)) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -6 (* x z)) |
(*.f64 (*.f64 z x) #s(literal -6 binary64)) |
(* x (+ (* -6 z) (* 6 (/ (* y z) x)))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (/ y x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) |
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x)) x) |
(* -1 (* x (+ 6 (* -6 (/ y x))))) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 6 z) 1))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 (/ (+ 1 (/ y x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x)) x) |
(+ x (* -6 (* x z))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(+ x (+ (* -6 (* x z)) (* 6 (* y z)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) |
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y) y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)) |
(* y (+ 6 (* -6 (/ x y)))) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) |
(fma.f64 (/.f64 x y) y (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) |
(* y (+ (* -6 (/ (* x z) y)) (* 6 z))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(/ (+ 1 (/ x y)) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* 6 (/ x y)) 6))) |
(*.f64 #s(literal 6 binary64) (-.f64 y x)) |
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y) #s(literal -1 binary64)) y) |
x |
(+ x (* z (+ (* -6 x) (* 6 y)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* z (+ (* -6 x) (* 6 y))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(+ x (* 6 (* z (- y x)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* 6 z) |
(*.f64 #s(literal 6 binary64) z) |
(* -6 z) |
(*.f64 #s(literal -6 binary64) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (+ (* -6 x) (+ (* 6 y) (/ x z)))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* 6 (* z (- y x))) |
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z) |
(* z (+ (* 6 (- y x)) (/ x z))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* z (+ (* -6 x) (/ x z))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
(* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) |
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x)))) |
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 133 |
| 0 | 44 | 133 |
| 1 | 172 | 133 |
| 2 | 1182 | 133 |
| 0 | 8238 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) |
(+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) |
(*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z) |
(*.f64 #s(literal 6 binary64) y) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
(*.f64 (*.f64 #s(literal 6 binary64) z) y) |
(*.f64 #s(literal 6 binary64) z) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x) |
(*.f64 #s(literal -6 binary64) z) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) |
(fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) |
(/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 36 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 6 binary64)) (*.f64 x #s(literal -6 binary64))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) y))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (*.f64 (*.f64 y #s(literal 6 binary64)) (-.f64 (*.f64 y #s(literal 6 binary64)) (*.f64 x #s(literal -6 binary64)))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal -6 binary64)) y) #s(literal 6 binary64)))))) |
(*.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (*.f64 (*.f64 y #s(literal 6 binary64)) (-.f64 (*.f64 y #s(literal 6 binary64)) (*.f64 x #s(literal -6 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -6 binary64) (*.f64 y #s(literal 6 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -6 binary64) (*.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (fma.f64 x #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) y))) (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (fma.f64 x #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) y)))) (*.f64 (/.f64 (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) y))) (/.f64 (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) y))))) (+.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (fma.f64 x #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) y))) (/.f64 (pow.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) y))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 6 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 6 binary64) x)))) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (*.f64 (neg.f64 z) #s(literal 6 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (*.f64 #s(literal 6 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (neg.f64 (*.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x)))) |
(fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 6 binary64) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 (*.f64 z #s(literal 6 binary64)) (pow.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) x) |
(fma.f64 z (/.f64 #s(literal 6 binary64) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 z (*.f64 (pow.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 6 binary64)) x) |
(fma.f64 #s(literal 6 binary64) (/.f64 z #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(fma.f64 #s(literal -6 binary64) (/.f64 (neg.f64 z) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))))) (/.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x)))) |
(+.f64 (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) x) |
(+.f64 x (/.f64 (*.f64 z #s(literal 6 binary64)) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (pow.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 z #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 z (pow.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) z))) |
(/.f64 z #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 z) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) (/.f64 (neg.f64 z) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) z)) #s(literal -1 binary64))) |
(*.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
#s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow (- y x) -1) (pow.f64 y #s(literal -1 binary64))))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
Compiled 10 306 to 1 143 computations (88.9% saved)
15 alts after pruning (4 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 3 | 335 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 334 | 15 | 349 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (fma.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 y #s(literal 6 binary64))) z x) | |
| ✓ | 77.6% | (fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) |
| ✓ | 99.8% | (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
| ✓ | 99.8% | (fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
| 49.0% | (fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) | |
| ✓ | 77.6% | (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
| ✓ | 77.6% | (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
| 97.1% | (+.f64 x (fma.f64 (*.f64 z y) #s(literal 6 binary64) (*.f64 (*.f64 z #s(literal -6 binary64)) x))) | |
| ✓ | 64.9% | (+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
| ✓ | 65.3% | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
| ✓ | 64.1% | #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
| ✓ | 40.2% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
| 62.0% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) | |
| ✓ | 40.7% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
| ✓ | 40.3% | #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
Compiled 533 to 258 computations (51.6% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 #s(literal -6 binary64) z) x))) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
(+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
(fma.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 y #s(literal 6 binary64))) z x) |
(+.f64 x (*.f64 (fma.f64 #s(literal -6 binary64) x (*.f64 #s(literal 6 binary64) y)) z)) |
(+.f64 x (fma.f64 (*.f64 z y) #s(literal 6 binary64) (*.f64 (*.f64 z #s(literal -6 binary64)) x))) |
(fma.f64 (/.f64 z #s(approx (pow (- y x) -1) (/.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64) x) |
(fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) |
(fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)) x) |
(fma.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal 6 binary64) x) |
(+.f64 x (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) z)) |
| Outputs |
|---|
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
4 calls:
| 7.0ms | z |
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 #s(literal -6 binary64) z) x))) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
(+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
| Outputs |
|---|
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
4 calls:
| 8.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 #s(literal -6 binary64) z) x))) |
(+.f64 x #s(approx (* (* (- y x) 6) z) (*.f64 (*.f64 z x) #s(literal -6 binary64)))) |
(+.f64 x (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z)) |
| Outputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) |
4 calls:
| 10.0ms | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | x |
| 86.0% | 3 | y |
| 98.9% | 3 | z |
| 88.5% | 3 | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
| Outputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
(fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
2 calls:
| 5.0ms | z |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | x |
| 82.0% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
| Outputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
(fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) |
4 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 2 | z |
| 77.0% | 3 | y |
| 65.3% | 1 | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| 81.5% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
| Outputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) |
1 calls:
| 79.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
| Outputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z y) #s(literal 6 binary64))) |
| Outputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
4 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.7% | 1 | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| 40.7% | 1 | z |
| 40.7% | 1 | y |
| 40.7% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
| Outputs |
|---|
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
4 calls:
| 1.0ms | y |
| 1.0ms | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.3% | 1 | z |
| 40.3% | 1 | (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z)) |
| 40.3% | 1 | x |
| 40.3% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 5.00864036574652e-6 | 0.0001222951741113656 |
| 14.0ms | -27512.722480328404 | -0.0001549479139554174 |
| 14.0ms | 256× | 0 | valid |
Compiled 476 to 398 computations (16.4% saved)
ival-sub: 3.0ms (37% of total)ival-mult: 3.0ms (37% of total)ival-add: 1.0ms (12.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.896731019854785e+45 | 9.037266069055675e+47 |
| 8.0ms | -3.154092592305348e+24 | -3.930804672194106e+23 |
| 10.0ms | 208× | 0 | valid |
Compiled 376 to 333 computations (11.4% saved)
ival-mult: 3.0ms (59.1% of total)ival-sub: 1.0ms (19.7% of total)ival-add: 1.0ms (19.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.896731019854785e+45 | 9.037266069055675e+47 |
| 5.0ms | -3.154092592305348e+24 | -3.930804672194106e+23 |
Compiled 376 to 320 computations (14.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.2862630996945297e-98 | 2.223709440030004e-93 |
| 9.0ms | -1.7536561872239453e-78 | -2.33706744058158e-80 |
| 12.0ms | 256× | 0 | valid |
Compiled 508 to 439 computations (13.6% saved)
ival-mult: 3.0ms (48.4% of total)ival-sub: 1.0ms (16.1% of total)ival-add: 1.0ms (16.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2862630996945297e-98 | 2.223709440030004e-93 |
| 1.0ms | -1.7536561872239453e-78 | -2.33706744058158e-80 |
Compiled 508 to 430 computations (15.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2862630996945297e-98 | 2.223709440030004e-93 |
| 1.0ms | -1.7536561872239453e-78 | -2.33706744058158e-80 |
Compiled 508 to 430 computations (15.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 338 |
| 1 | 89 | 338 |
| 2 | 115 | 338 |
| 3 | 186 | 338 |
| 4 | 279 | 338 |
| 5 | 358 | 338 |
| 6 | 635 | 338 |
| 7 | 6288 | 338 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
(if (<=.f64 z #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) (if (<=.f64 z #s(literal 8854437155380585/73786976294838206464 binary64)) (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)))) |
(if (<=.f64 x #s(literal -1400000000000000083886080 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) (if (<=.f64 x #s(literal 39999999999999999725592761437880851790636777472 binary64)) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -1400000000000000083886080 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) (if (<=.f64 x #s(literal 39999999999999999725592761437880851790636777472 binary64)) (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) (if (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) (if (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)))) |
(if (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) (if (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)))) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
| Outputs |
|---|
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x) |
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64) x) |
(if (<=.f64 z #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) (if (<=.f64 z #s(literal 8854437155380585/73786976294838206464 binary64)) (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)))) |
(if (or (<=.f64 z #s(literal -5944751508129055/36028797018963968 binary64)) (not (<=.f64 z #s(literal 8854437155380585/73786976294838206464 binary64)))) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z)) (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x)) |
(if (<=.f64 x #s(literal -1400000000000000083886080 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) (if (<=.f64 x #s(literal 39999999999999999725592761437880851790636777472 binary64)) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -1400000000000000083886080 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) (if (<=.f64 x #s(literal 39999999999999999725592761437880851790636777472 binary64)) (fma.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) z x) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -1400000000000000083886080 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) (if (<=.f64 x #s(literal 39999999999999999725592761437880851790636777472 binary64)) (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -1400000000000000083886080 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)) (if (<=.f64 x #s(literal 39999999999999999725592761437880851790636777472 binary64)) (fma.f64 #s(approx (* z (- y x)) (*.f64 z y)) #s(literal 6 binary64) x) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) (if (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) (if (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)))) |
(if (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) (if (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)))) |
(if (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) (if (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 #s(literal -6 binary64) z) x x)))) |
(if (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) (if (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)))) |
(if (or (<=.f64 x #s(literal -8343699359066055/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (not (<=.f64 x #s(literal 5170551350234871/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)))) #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 #s(literal -6 binary64) x) z x)) #s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (*.f64 #s(literal 6 binary64) z) y))) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (*.f64 #s(literal 6 binary64) z) y)) |
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (*.f64 #s(literal 6 binary64) y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 855 |
| 1 | 726 | 790 |
| 2 | 2216 | 738 |
| 3 | 5311 | 709 |
| 0 | 8326 | 663 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 42 | 24 |
| 2 | 318 | 24 |
| 3 | 4234 | 24 |
| 0 | 8208 | 23 |
| 0 | 226 | 675 |
| 1 | 718 | 623 |
| 2 | 2080 | 539 |
| 3 | 6599 | 529 |
| 0 | 8341 | 495 |
| 0 | 97 | 277 |
| 1 | 311 | 247 |
| 2 | 910 | 207 |
| 3 | 2656 | 207 |
| 4 | 5509 | 207 |
| 5 | 7825 | 207 |
| 0 | 8088 | 195 |
| 0 | 27 | 130 |
| 0 | 42 | 130 |
| 1 | 148 | 124 |
| 2 | 1067 | 124 |
| 0 | 8871 | 123 |
| 0 | 27 | 121 |
| 0 | 47 | 112 |
| 1 | 178 | 112 |
| 2 | 1220 | 112 |
| 0 | 8608 | 112 |
| 1× | fuel |
| 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 |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 730 to 376 computations (48.5% saved)
Compiled 712 to 166 computations (76.7% saved)
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