
Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 424.0ms | 8 256× | 0 | valid |
ival-div: 78.0ms (36.3% of total)ival-mult: 65.0ms (30.3% of total)ival-add: 63.0ms (29.3% of total)ival-true: 6.0ms (2.8% of total)ival-assert: 3.0ms (1.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 0 | - | 2 | (6.118817630286914e-274 1.0388772488015679e-50 -3.602248628015786e-164) | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 0 | 0 | - | 0 | - | (+.f64 y z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 y z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 y z)) z) | o/n | 27 | 0 |
| ↳ | (*.f64 x (+.f64 y z)) | overflow | 44 | |
/.f64 | (/.f64 (*.f64 x (+.f64 y z)) z) | u/n | 14 | 0 |
| ↳ | (*.f64 x (+.f64 y z)) | underflow | 14 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 41 | 2 |
| - | 0 | 213 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 41 | 0 | 2 |
| - | 0 | 0 | 213 |
| number | freq |
|---|---|
| 0 | 215 |
| 1 | 41 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-div: 3.0ms (28.5% of total)ival-add: 3.0ms (28.5% of total)ival-mult: 3.0ms (28.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 106 | 66 |
| 2 | 284 | 64 |
| 3 | 950 | 64 |
| 4 | 2751 | 63 |
| 5 | 5274 | 63 |
| 6 | 6022 | 63 |
| 7 | 6123 | 63 |
| 8 | 6219 | 63 |
| 9 | 6346 | 63 |
| 10 | 6471 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 19 | 7 |
| 2 | 24 | 7 |
| 3 | 25 | 7 |
| 4 | 33 | 7 |
| 5 | 35 | 7 |
| 6 | 39 | 7 |
| 7 | 46 | 7 |
| 8 | 51 | 7 |
| 9 | 160 | 7 |
| 10 | 553 | 7 |
| 11 | 2370 | 7 |
| 12 | 3773 | 7 |
| 13 | 3925 | 7 |
| 14 | 4010 | 7 |
| 15 | 4111 | 7 |
| 16 | 4246 | 7 |
| 17 | 4406 | 7 |
| 18 | 6021 | 7 |
| 19 | 7046 | 7 |
| 0 | 8041 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(fma.f64 y (/.f64 x z) x) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.2% | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 0 | (*.f64 x (+.f64 y z)) | |
| cost-diff | 128 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 19 | 18 |
| 2 | 24 | 18 |
| 3 | 25 | 18 |
| 4 | 33 | 18 |
| 5 | 35 | 18 |
| 6 | 39 | 18 |
| 7 | 46 | 18 |
| 8 | 51 | 18 |
| 9 | 160 | 18 |
| 10 | 553 | 18 |
| 11 | 2370 | 18 |
| 12 | 3773 | 18 |
| 13 | 3925 | 18 |
| 14 | 4010 | 18 |
| 15 | 4111 | 18 |
| 16 | 4246 | 18 |
| 17 | 4406 | 18 |
| 18 | 6021 | 18 |
| 19 | 7046 | 18 |
| 0 | 8041 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(*.f64 x (+.f64 y z)) |
x |
(+.f64 y z) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(fma.f64 y (/.f64 x z) x) |
(*.f64 x (+.f64 y z)) |
(*.f64 (+.f64 y z) x) |
x |
(+.f64 y z) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 y z) | |
| accuracy | 0.015625 | (*.f64 x (+.f64 y z)) | |
| accuracy | 10.119925167385706 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 36.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 2.0ms (39.9% of total)ival-mult: 2.0ms (39.9% of total)ival-add: 1.0ms (19.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(*.f64 x (+.f64 y z)) |
(+.f64 y z) |
| Outputs |
|---|
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
x |
(+ x (/ (* x y) z)) |
(* x z) |
(+ (* x y) (* x z)) |
z |
(+ y z) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
y |
(* y (+ 1 (/ z y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(/ (+ (* x y) (* x z)) z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ 1 (/ y z))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | y | @ | -inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1.0ms | x | @ | -inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1.0ms | x | @ | inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1.0ms | z | @ | -inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1.0ms | x | @ | 0 | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 94 |
| 1 | 171 | 94 |
| 2 | 490 | 94 |
| 3 | 1386 | 94 |
| 4 | 2840 | 94 |
| 5 | 3338 | 94 |
| 6 | 3685 | 94 |
| 7 | 4123 | 94 |
| 8 | 4309 | 94 |
| 9 | 4352 | 94 |
| 10 | 6238 | 94 |
| 11 | 7018 | 94 |
| 12 | 7240 | 94 |
| 13 | 7640 | 94 |
| 14 | 7652 | 94 |
| 15 | 7661 | 94 |
| 0 | 8330 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
x |
(+ x (/ (* x y) z)) |
(* x z) |
(+ (* x y) (* x z)) |
z |
(+ y z) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
y |
(* y (+ 1 (/ z y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(/ (+ (* x y) (* x z)) z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ 1 (/ y z))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
| Outputs |
|---|
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(* x z) |
(*.f64 z x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
z |
(+ y z) |
(+.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 40 | 15 |
| 2 | 256 | 15 |
| 3 | 2338 | 15 |
| 0 | 8227 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(*.f64 x (+.f64 y z)) |
(+.f64 y z) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (*.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (*.f64 (neg.f64 (+.f64 z y)) (-.f64 y z))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) y z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (*.f64 (+.f64 z y) x) (*.f64 x (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (+.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 z y) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 z y))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z)) |
(*.f64 (/.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 z y)) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 z y) z)) |
(*.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) (+.f64 z y)) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 z y)) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) |
(*.f64 (neg.f64 (+.f64 z y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 (+.f64 z y)) (*.f64 x (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))) |
(*.f64 (/.f64 (+.f64 z y) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 z y) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 z y) x) z)) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z))) |
(*.f64 (*.f64 (neg.f64 x) (+.f64 z y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 z y) x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (+.f64 z y) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (+.f64 z y) (/.f64 x z)) |
(*.f64 x (/.f64 (+.f64 z y) z)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 (+.f64 z y) x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z (*.f64 (+.f64 z y) x)) (/.f64 z (*.f64 (+.f64 z y) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (*.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 z x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z x)))))) |
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(fma.f64 y (/.f64 y (-.f64 y z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y z))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y z)) (*.f64 z (/.f64 z (-.f64 y z))))) (/.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 y z))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y z)) (*.f64 z (/.f64 z (-.f64 y z)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 y z))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 y z))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y z) (*.f64 z z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 y z) (fma.f64 z z (*.f64 y y)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 y z) (fma.f64 z z (*.f64 y y))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 y z) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (-.f64 y z) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) y z)) (neg.f64 (+.f64 z y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))) (neg.f64 (+.f64 z y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (*.f64 y y))) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (*.f64 y y))) (-.f64 y z))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y z))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 z y) z (*.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 z y) z (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y z))) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(+.f64 z y) |
(+.f64 y z) |
Compiled 8 414 to 1 306 computations (84.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 378 | 7 | 385 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 378 | 8 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.2% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| ▶ | 44.3% | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
| ▶ | 42.1% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ▶ | 95.6% | (/.f64 x (/.f64 z (+.f64 z y))) |
| 84.0% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x))) | |
| 42.5% | (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z))) | |
| ▶ | 82.4% | (*.f64 (/.f64 x z) (+.f64 z y)) |
| ▶ | 95.5% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
Compiled 159 to 120 computations (24.5% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 128 | (*.f64 (/.f64 x z) (+.f64 z y)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* x (+ y z)) (*.f64 z x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (+ y z)) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (/.f64 z (+.f64 z y)) | |
| cost-diff | 512 | (/.f64 x (/.f64 z (+.f64 z y))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 111 |
| 0 | 32 | 112 |
| 1 | 55 | 112 |
| 2 | 68 | 112 |
| 3 | 76 | 108 |
| 4 | 77 | 108 |
| 5 | 194 | 108 |
| 6 | 648 | 108 |
| 7 | 2791 | 108 |
| 8 | 3863 | 108 |
| 9 | 4750 | 108 |
| 10 | 4831 | 108 |
| 11 | 4916 | 108 |
| 12 | 5021 | 108 |
| 13 | 5143 | 108 |
| 14 | 6833 | 108 |
| 0 | 8147 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
x |
(/.f64 z (+.f64 z y)) |
z |
(+.f64 z y) |
y |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (* x (+ y z)) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (/.f64 x z) (+.f64 z y)) |
(/.f64 x z) |
x |
z |
(+.f64 z y) |
y |
| Outputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
(fma.f64 (/.f64 y z) x x) |
x |
(/.f64 z (+.f64 z y)) |
(/.f64 z (+.f64 y z)) |
z |
(+.f64 z y) |
(+.f64 y z) |
y |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (* x (+ y z)) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (/.f64 x z) (+.f64 z y)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 x z) |
x |
z |
(+.f64 z y) |
(+.f64 y z) |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | (+.f64 z y) | |
| accuracy | 11.254113208813775 | (*.f64 (/.f64 x z) (+.f64 z y)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0 | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) | |
| accuracy | 2.880360767478504 | (fma.f64 (/.f64 y z) x x) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 10.119925167385706 | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) | |
| accuracy | 26.191774208451257 | #s(approx (* x (+ y z)) (*.f64 z x)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 10.119925167385706 | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) | |
| accuracy | 32.4927501102989 | #s(approx (* x (+ y z)) (*.f64 y x)) | |
| accuracy | 0.0 | (+.f64 z y) | |
| accuracy | 0.02734375 | (/.f64 z (+.f64 z y)) | |
| accuracy | 2.8151546094624518 | (/.f64 x (/.f64 z (+.f64 z y))) |
| 38.0ms | 256× | 0 | valid |
Compiled 202 to 38 computations (81.2% saved)
ival-div: 8.0ms (41.2% of total)ival-mult: 7.0ms (36.1% of total)ival-add: 4.0ms (20.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
(/.f64 z (+.f64 z y)) |
(+.f64 z y) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (* x (+ y z)) (*.f64 z x)) |
(*.f64 z x) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 y z) |
(*.f64 (/.f64 x z) (+.f64 z y)) |
(/.f64 x z) |
| Outputs |
|---|
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x y) |
(* x z) |
(* x (+ 1 (/ y z))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
x |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
z |
(+ y z) |
(+ (* x y) (* x z)) |
(/ y z) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(/ z y) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ x (/ (* x z) y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(/ (+ (* x y) (* x z)) z) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ x (/ (* x y) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | y | @ | -inf | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z)) |
| 3.0ms | x | @ | inf | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z)) |
| 2.0ms | x | @ | -inf | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z)) |
| 2.0ms | z | @ | -inf | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z)) |
| 2.0ms | x | @ | 0 | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ x z) (+ z y)) (/ x z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 394 |
| 1 | 497 | 378 |
| 2 | 1328 | 354 |
| 3 | 4937 | 352 |
| 0 | 8431 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x y) |
(* x z) |
(* x (+ 1 (/ y z))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
x |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
z |
(+ y z) |
(+ (* x y) (* x z)) |
(/ y z) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(/ z y) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ x (/ (* x z) y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(/ (+ (* x y) (* x z)) z) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ x (/ (* x y) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
| Outputs |
|---|
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* x (+ y z)) |
(*.f64 (+.f64 y z) x) |
(* x y) |
(*.f64 y x) |
(* x z) |
(*.f64 z x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 x z) y x) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
z |
(+ y z) |
(+.f64 y z) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 y z) x) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 x z) y x) |
(/ z y) |
(/.f64 z y) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 y z) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 y z) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y z) x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z (/.f64 (/.f64 (neg.f64 z) y) y)) z (/.f64 z y)) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)) z) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(* z (+ 1 (/ y z))) |
(+.f64 y z) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 y z) x) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 y z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 y z) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 94 |
| 0 | 32 | 95 |
| 1 | 127 | 95 |
| 2 | 877 | 91 |
| 0 | 8359 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
(/.f64 z (+.f64 z y)) |
(+.f64 z y) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (* x (+ y z)) (*.f64 z x)) |
(*.f64 z x) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 y z) |
(*.f64 (/.f64 x z) (+.f64 z y)) |
(/.f64 x z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x))) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (/.f64 y z) x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 6 binary64)) (pow.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 4 binary64)) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 y z)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (+.f64 y z)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (*.f64 (+.f64 y z) (-.f64 y z))) (+.f64 y z)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z (-.f64 z y)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 z (-.f64 z y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 z (-.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z (-.f64 z y)) (-.f64 (*.f64 z (-.f64 z y)) (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y z) x) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (*.f64 z (+.f64 y z))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y z) x) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 y z) (fma.f64 y z (*.f64 z z))))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (-.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x))) (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x)))) (fma.f64 (/.f64 y z) x x)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) (+.f64 y z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 z) y) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (-.f64 (neg.f64 z) y) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)) (-.f64 (neg.f64 z) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z (+.f64 y z)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z (+.f64 y z)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) (+.f64 y z)) |
(*.f64 (/.f64 x (/.f64 (/.f64 z (+.f64 y z)) (-.f64 z y))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 (/.f64 z (+.f64 y z)) (-.f64 y z))) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 (neg.f64 z) y) z)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (-.f64 z y))) (/.f64 x (-.f64 z y))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (-.f64 y z))) (/.f64 x (-.f64 y z))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 x (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 y z) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (-.f64 z y))) (/.f64 (/.f64 x z) (-.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (-.f64 y z))) (/.f64 (/.f64 x z) (-.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 x z) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 x z) (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (-.f64 z y))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 z y))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (-.f64 y z))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y z))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 z) y) z)) |
(*.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (-.f64 z y))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 z y))) |
(*.f64 (/.f64 x (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (-.f64 y z))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y z))) |
(*.f64 (/.f64 x (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 y (-.f64 y z) (*.f64 z z)))) |
(*.f64 (/.f64 x (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) z) (/.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) z) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (-.f64 z y)) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) z) (-.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) #s(literal -1 binary64)) (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x)))) |
(*.f64 (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (-.f64 (neg.f64 z) y) z) (neg.f64 x)) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (/.f64 x z) x))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x)))))) |
(*.f64 (*.f64 (*.f64 (-.f64 (neg.f64 z) y) x) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 z y)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (neg.f64 z) y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 y z)))) |
(*.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 y (-.f64 y z) (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 z (-.f64 z y) (*.f64 y y))))) |
(*.f64 (*.f64 (*.f64 (+.f64 y z) x) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 z y)))) |
(*.f64 (*.f64 (*.f64 (+.f64 y z) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y z)))) |
(*.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 y z)) z (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (-.f64 z y) (*.f64 y y))))) |
(*.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y z) (*.f64 (-.f64 z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) z))) |
(*.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 y z) (*.f64 (-.f64 y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) z))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) z))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) z))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 y z) x x))) |
(*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (/.f64 x z))) |
(*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (-.f64 z y)))) |
(*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 z y) z) x))) |
(*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z))) |
(*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y z)) x))) |
(*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y z) z) x))) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (neg.f64 x))) (pow.f64 (fma.f64 (/.f64 x z) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (+.f64 y z) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 y z) x)) |
(*.f64 (/.f64 (+.f64 y z) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y z) z) x) |
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(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 x z))) |
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(+.f64 (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) (*.f64 (neg.f64 z) (/.f64 (neg.f64 x) z))) |
(+.f64 (*.f64 (neg.f64 z) (/.f64 (neg.f64 x) z)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))) |
(+.f64 (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z)) (*.f64 (/.f64 x z) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 x z) y (neg.f64 x))))) |
(+.f64 (*.f64 (/.f64 x z) y) (*.f64 (/.f64 (neg.f64 x) z) (neg.f64 z))) |
(+.f64 (*.f64 (/.f64 x z) y) x) |
(+.f64 x (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64))) |
(+.f64 x (*.f64 (/.f64 x z) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x z) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
Compiled 16 680 to 2 095 computations (87.4% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 872 | 6 | 878 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 875 | 11 | 886 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.1% | (fma.f64 (/.f64 x z) y x) |
| ▶ | 82.5% | (/.f64 (+.f64 y z) (/.f64 z x)) |
| ✓ | 84.2% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| ✓ | 44.3% | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
| ✓ | 42.1% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ✓ | 95.6% | (/.f64 x (/.f64 z (+.f64 z y))) |
| ▶ | 42.3% | (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
| ▶ | 54.5% | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| 42.0% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) | |
| ✓ | 95.5% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| ▶ | 42.4% | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
Compiled 168 to 129 computations (23.2% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 512 | (/.f64 (+.f64 y z) (/.f64 z x)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ z (+ z y)) (/.f64 z y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) | |
| cost-diff | 0 | #s(approx (/ z (+ z y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) y x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 96 |
| 0 | 28 | 95 |
| 1 | 39 | 95 |
| 2 | 55 | 95 |
| 3 | 64 | 95 |
| 4 | 68 | 94 |
| 5 | 75 | 94 |
| 6 | 75 | 94 |
| 7 | 218 | 94 |
| 8 | 799 | 94 |
| 9 | 2775 | 94 |
| 10 | 3235 | 94 |
| 11 | 3711 | 94 |
| 12 | 3762 | 94 |
| 13 | 3802 | 94 |
| 14 | 3845 | 94 |
| 15 | 4759 | 94 |
| 16 | 6025 | 94 |
| 17 | 7570 | 94 |
| 18 | 7891 | 94 |
| 0 | 8022 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
x |
z |
y |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
x |
#s(approx (/ z (+ z y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
x |
#s(approx (/ z (+ z y)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(+.f64 y z) |
y |
z |
(/.f64 z x) |
x |
| Outputs |
|---|
(fma.f64 (/.f64 x z) y x) |
(fma.f64 y (/.f64 x z) x) |
(/.f64 x z) |
x |
z |
y |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
x |
#s(approx (/ z (+ z y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
#s(approx (/ x (/ z (+ z y))) (*.f64 y (/.f64 x z))) |
(*.f64 (/.f64 x z) y) |
(*.f64 y (/.f64 x z)) |
(/.f64 x z) |
x |
z |
y |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
x |
#s(approx (/ z (+ z y)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(fma.f64 y (/.f64 x z) x) |
(+.f64 y z) |
y |
z |
(/.f64 z x) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 z x) | |
| accuracy | 0.0 | (+.f64 y z) | |
| accuracy | 11.184597760185246 | (/.f64 (+.f64 y z) (/.f64 z x)) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 2.8151546094624518 | (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) | |
| accuracy | 34.66257360889343 | #s(approx (/ z (+ z y)) (/.f64 z y)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 5.184266100340773 | (*.f64 (/.f64 x z) y) | |
| accuracy | 34.12127597077502 | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) | |
| accuracy | 2.8151546094624518 | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) | |
| accuracy | 29.07336543085959 | #s(approx (/ z (+ z y)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 3.796241049029027 | (fma.f64 (/.f64 x z) y x) |
| 72.0ms | 256× | 0 | valid |
Compiled 177 to 35 computations (80.2% saved)
ival-div: 55.0ms (91.6% of total)ival-add: 3.0ms (5% of total)ival-mult: 2.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
#s(approx (/ z (+ z y)) #s(literal 1 binary64)) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
#s(approx (/ z (+ z y)) (/.f64 z y)) |
(/.f64 z y) |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(+.f64 y z) |
(/.f64 z x) |
| Outputs |
|---|
(* x (+ 1 (/ y z))) |
(/ x z) |
(/ (* x (+ y z)) z) |
(/ (* x y) z) |
(/ z x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
x |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
(/ z y) |
z |
(+ y z) |
(* y (+ (/ x y) (/ x z))) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
y |
(* y (+ 1 (/ z y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(/ (+ (* x y) (* x z)) z) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(* z (+ 1 (/ y z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x)) |
| 1.0ms | x | @ | -inf | ((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x)) |
| 1.0ms | z | @ | 0 | ((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x)) |
| 1.0ms | z | @ | inf | ((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x)) |
| 1.0ms | x | @ | 0 | ((+ (* (/ x z) y) x) (/ x z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (* (/ x z) y) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ (+ y z) (/ z x)) (+ y z) (/ z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 358 |
| 1 | 438 | 342 |
| 2 | 1119 | 318 |
| 3 | 4230 | 316 |
| 0 | 8487 | 296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (/ y z))) |
(/ x z) |
(/ (* x (+ y z)) z) |
(/ (* x y) z) |
(/ z x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
x |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
(/ z y) |
z |
(+ y z) |
(* y (+ (/ x y) (/ x z))) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
y |
(* y (+ 1 (/ z y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(/ (+ (* x y) (* x z)) z) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(* z (+ 1 (/ y z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
| Outputs |
|---|
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 x z) y x) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(/ z x) |
(/.f64 z x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/ z y) |
(/.f64 z y) |
z |
(+ y z) |
(+.f64 y z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 y z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 y z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z) z (/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)) z) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(* z (+ 1 (/ y z))) |
(+.f64 y z) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 79 |
| 0 | 28 | 79 |
| 1 | 121 | 79 |
| 2 | 855 | 79 |
| 0 | 8412 | 79 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
#s(approx (/ z (+ z y)) #s(literal 1 binary64)) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
#s(approx (/ z (+ z y)) (/.f64 z y)) |
(/.f64 z y) |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(+.f64 y z) |
(/.f64 z x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y (/.f64 x z) x) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 y (/.f64 x z))) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 y (/.f64 x z))) x))) |
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(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y z) (*.f64 (-.f64 z y) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))) |
(*.f64 (+.f64 y z) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (+.f64 y z) (/.f64 (-.f64 z y) (-.f64 z y))) |
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) (-.f64 y z))) |
(*.f64 (+.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y z)) |
(pow.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) (fma.f64 y y (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) (fma.f64 y y (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 y y (*.f64 z z)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 z (/.f64 z (-.f64 z y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y))))) (fma.f64 z (/.f64 z (-.f64 z y)) (*.f64 y (/.f64 y (-.f64 z y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 y (/.f64 y (-.f64 y z)))) (*.f64 (*.f64 z (/.f64 z (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (fma.f64 y (/.f64 y (-.f64 y z)) (*.f64 z (/.f64 z (-.f64 y z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 z y))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 z (/.f64 z (-.f64 z y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y))) (*.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y z))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (-.f64 y z))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 y (/.f64 y (-.f64 y z))) (fma.f64 (*.f64 z (/.f64 z (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))) (*.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 z y) z (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 z z))) (*.f64 (-.f64 y z) (-.f64 y z))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (-.f64 y z) (fma.f64 y y (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 z y) (fma.f64 y y (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 y z) (fma.f64 (*.f64 z z) (fma.f64 y y (*.f64 z z)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y z))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 z y))) |
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (-.f64 z y)) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (-.f64 y z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) z (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y))) |
(/.f64 (-.f64 (neg.f64 y) z) #s(literal -1 binary64)) |
(/.f64 (+.f64 y z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y z) #s(literal -1 binary64))) |
(neg.f64 (-.f64 (neg.f64 y) z)) |
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z z)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y))))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 y z) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (+.f64 y z) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) z) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) y) |
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(fma.f64 #s(literal 1 binary64) y z) |
(fma.f64 #s(literal 1 binary64) z y) |
(fma.f64 y (/.f64 y (-.f64 y z)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(fma.f64 y #s(literal 1 binary64) z) |
(fma.f64 z (/.f64 z (-.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y))))) |
(fma.f64 z #s(literal 1 binary64) y) |
(-.f64 (/.f64 (*.f64 z (/.f64 z (-.f64 z y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 z y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y z))) #s(literal 1 binary64)) (/.f64 (*.f64 z (/.f64 z (-.f64 y z))) #s(literal 1 binary64))) |
(-.f64 (*.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y)))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z)) |
(+.f64 (*.f64 z (/.f64 z (-.f64 z y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y))))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y z))) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(+.f64 y z) |
(+.f64 z y) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) z) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) z) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 z x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x z) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 z) (neg.f64 x)) |
(/.f64 (/.f64 z x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x z)) |
(/.f64 z x) |
(neg.f64 (/.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 z) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64))) |
Compiled 12 463 to 1 696 computations (86.4% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 717 | 2 | 719 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 719 | 11 | 730 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.1% | (fma.f64 (/.f64 x z) y x) |
| ✓ | 84.2% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| ✓ | 44.3% | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
| ✓ | 42.1% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ✓ | 95.6% | (/.f64 x (/.f64 z (+.f64 z y))) |
| ✓ | 54.5% | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| ▶ | 42.0% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
| ✓ | 95.5% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| ▶ | 42.4% | #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
| ▶ | 42.2% | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
| ✓ | 42.4% | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
Compiled 117 to 87 computations (25.6% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (+ y z)) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (/.f64 y (/.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) | |
| cost-diff | -384 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 88 |
| 0 | 26 | 88 |
| 1 | 42 | 88 |
| 2 | 59 | 86 |
| 3 | 68 | 86 |
| 4 | 81 | 86 |
| 5 | 89 | 86 |
| 6 | 101 | 86 |
| 7 | 231 | 86 |
| 8 | 776 | 86 |
| 9 | 2345 | 86 |
| 10 | 2697 | 86 |
| 11 | 3100 | 86 |
| 12 | 4359 | 86 |
| 13 | 4404 | 86 |
| 14 | 4437 | 86 |
| 15 | 5837 | 86 |
| 16 | 6165 | 86 |
| 17 | 6304 | 86 |
| 0 | 8014 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) |
z |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
(*.f64 (/.f64 y z) x) |
(/.f64 y (/.f64 z x)) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
(/.f64 y (/.f64 z x)) |
y |
(/.f64 z x) |
z |
x |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) |
z |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.21484375 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) | |
| accuracy | 10.160704016754513 | (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) | |
| accuracy | 32.4927501102989 | #s(approx (* x (+ y z)) (*.f64 y x)) | |
| accuracy | 0.0 | (/.f64 z x) | |
| accuracy | 5.1077591539956 | (/.f64 y (/.f64 z x)) | |
| accuracy | 34.12127597077502 | #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 4.9187183893525965 | (*.f64 (/.f64 y z) x) | |
| accuracy | 34.12127597077502 | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
| 49.0ms | 256× | 0 | valid |
Compiled 154 to 37 computations (76% saved)
ival-div: 30.0ms (78.1% of total)ival-mult: 6.0ms (15.6% of total)ival-add: 3.0ms (7.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(/.f64 y z) |
(*.f64 (/.f64 y z) x) |
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
(/.f64 y (/.f64 z x)) |
(/.f64 z x) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
(/ (* x (+ y z)) z) |
(/ (* x y) z) |
(/ z x) |
(/ z (* x (+ y z))) |
(* x (+ y z)) |
(* x y) |
x |
(+ x (/ (* x y) z)) |
(/ y z) |
(/ 1 x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x)) |
(* x z) |
(+ (* x y) (* x z)) |
(* y (+ (/ x y) (/ x z))) |
(/ z (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y) |
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y) |
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y) |
(* y (+ x (/ (* x z) y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(/ (+ (* x y) (* x z)) z) |
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) |
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))) |
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))) |
(* z (+ x (/ (* x y) z))) |
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | ((/ x (/ z (+ z y))) (/ y z) (* (/ y z) x) (/ x (/ z (+ z y))) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x)) |
| 2.0ms | x | @ | -inf | ((/ x (/ z (+ z y))) (/ y z) (* (/ y z) x) (/ x (/ z (+ z y))) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x)) |
| 2.0ms | z | @ | -inf | ((/ x (/ z (+ z y))) (/ y z) (* (/ y z) x) (/ x (/ z (+ z y))) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x)) |
| 2.0ms | y | @ | -inf | ((/ x (/ z (+ z y))) (/ y z) (* (/ y z) x) (/ x (/ z (+ z y))) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x)) |
| 2.0ms | y | @ | inf | ((/ x (/ z (+ z y))) (/ y z) (* (/ y z) x) (/ x (/ z (+ z y))) (/ y (/ z x)) (/ z x) (/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 474 |
| 1 | 494 | 458 |
| 2 | 1450 | 413 |
| 3 | 4702 | 405 |
| 0 | 8386 | 390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ y z)) z) |
(/ (* x y) z) |
(/ z x) |
(/ z (* x (+ y z))) |
(* x (+ y z)) |
(* x y) |
x |
(+ x (/ (* x y) z)) |
(/ y z) |
(/ 1 x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x)) |
(* x z) |
(+ (* x y) (* x z)) |
(* y (+ (/ x y) (/ x z))) |
(/ z (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y) |
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y) |
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y) |
(* y (+ x (/ (* x z) y))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(/ (+ (* x y) (* x z)) z) |
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) |
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))) |
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))) |
(* z (+ x (/ (* x y) z))) |
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x)) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
| Outputs |
|---|
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 y z) z) x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ z x) |
(/.f64 z x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 y z)) x) |
(* x (+ y z)) |
(*.f64 (+.f64 y z) x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(/ y z) |
(/.f64 y z) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y z) x)) |
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x)) |
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x)) |
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x))) |
(* x z) |
(*.f64 z x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 y z) x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 x z) y x) |
(/ z (* x y)) |
(/.f64 (/.f64 z x) y) |
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y) |
(/.f64 (*.f64 (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 z y))) y) |
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y) |
(/.f64 (fma.f64 (/.f64 z y) (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 z x)) y) |
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y) |
(/.f64 (fma.f64 (/.f64 z y) (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal 1 binary64))) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y)) |
(/.f64 (*.f64 (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 z y))) y) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal 1 binary64))) (/.f64 z x)) y) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (*.f64 (/.f64 z x) (-.f64 (/.f64 z y) #s(literal 1 binary64))) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 y z) x) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 (/.f64 (+.f64 y z) z) x) |
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) |
(/.f64 (*.f64 (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 z y))) y) |
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) y) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (*.f64 z z) (/.f64 (/.f64 z x) y)) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) z) z (/.f64 (*.f64 (/.f64 z x) (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)) |
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))) |
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))) |
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x))) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 y z) x) |
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x)) |
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x)) |
(fma.f64 (/.f64 (/.f64 y z) x) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 y z) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 78 |
| 0 | 26 | 78 |
| 1 | 106 | 76 |
| 2 | 653 | 76 |
| 3 | 6367 | 76 |
| 0 | 8028 | 76 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(/.f64 y z) |
(*.f64 (/.f64 y z) x) |
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
(/.f64 y (/.f64 z x)) |
(/.f64 z x) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) |
(*.f64 (/.f64 x z) y) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 z (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 z (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x))) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z (neg.f64 x)) y)) |
(/.f64 (*.f64 y x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) y))) |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x))) |
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64))) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) z) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x)) |
(*.f64 (/.f64 x z) y) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 y z) x) |
(*.f64 y (/.f64 x z)) |
(*.f64 x (/.f64 y z)) |
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 z (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 z (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z) |
(/.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) |
(/.f64 (/.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (/.f64 z (neg.f64 x))) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z (neg.f64 x)) y)) |
(/.f64 (*.f64 y x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64)) |
(/.f64 (/.f64 y z) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 y (/.f64 z x)) |
(/.f64 x (/.f64 z y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) y))) |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) z) x))) |
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) z) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 z x)) |
(*.f64 (/.f64 z x) #s(literal 1 binary64)) |
(*.f64 z (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 z (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 x z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z x) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 z) (neg.f64 x)) |
(/.f64 (/.f64 z (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x z)) |
(/.f64 (/.f64 z x) #s(literal 1 binary64)) |
(/.f64 z x) |
(neg.f64 (/.f64 (/.f64 z (neg.f64 x)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 z (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 z (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 z (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) #s(approx (* x (+ y z)) (*.f64 y x))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (* x (+ y z)) (*.f64 y x))) |
(*.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(*.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (* x (+ y z)) (*.f64 y x))) |
(*.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z))) |
(*.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)) |
(pow.f64 (*.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
(neg.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))) (neg.f64 z)) |
(*.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (/.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(*.f64 (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(*.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
(*.f64 z (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #s(literal 1/2 binary64))) |
(/.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) (neg.f64 z))) |
(/.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) |
(neg.f64 (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ y z)) (*.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))) |
(*.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(*.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* x (+ y z)) (*.f64 y x))) |
(pow.f64 (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1 binary64)) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(/.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal -1 binary64)) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* x (+ y z)) (*.f64 y x)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (* x (+ y z)) (*.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (* x (+ y z)) (*.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 3 873 to 660 computations (83% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 233 | 0 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 8 | 8 |
| Total | 233 | 11 | 244 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.1% | (fma.f64 (/.f64 x z) y x) |
| ✓ | 84.2% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| ✓ | 44.3% | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
| ✓ | 42.1% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ✓ | 95.6% | (/.f64 x (/.f64 z (+.f64 z y))) |
| ✓ | 54.5% | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| ✓ | 42.0% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
| ✓ | 95.5% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| ✓ | 42.4% | #s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
| ✓ | 42.2% | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
| ✓ | 42.4% | #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
Compiled 285 to 141 computations (50.5% saved)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 x z) y x) |
(*.f64 (/.f64 x z) (+.f64 z y)) |
(/.f64 (*.f64 x (+.f64 y z)) z) |
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
(/.f64 x (/.f64 z (+.f64 z y))) |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x))) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z))) |
| Outputs |
|---|
(fma.f64 (/.f64 x z) y x) |
(/.f64 x (/.f64 z (+.f64 z y))) |
4 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 5.0ms | z |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | x |
| 95.6% | 1 | y |
| 95.6% | 1 | z |
| 97.7% | 2 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 x z) y x) |
(*.f64 (/.f64 x z) (+.f64 z y)) |
(/.f64 (*.f64 x (+.f64 y z)) z) |
#s(approx (/ x (/ z (+ z y))) (/.f64 y (/.f64 z x))) |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
| Outputs |
|---|
(fma.f64 (/.f64 x z) y x) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 2 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 97.7% | 2 | x |
Compiled 8 to 9 computations (-12.5% saved)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| Outputs |
|---|
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 1 | x |
| 97.5% | 2 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 8 to 9 computations (-12.5% saved)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
| Outputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
4 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.5% | 2 | x |
| 76.0% | 3 | y |
| 77.7% | 3 | z |
| 74.5% | 2 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 10 to 15 computations (-50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
4 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 1 | x |
| 54.5% | 1 | y |
| 54.5% | 1 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 54.5% | 1 | z |
Compiled 10 to 15 computations (-50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.898552003422478e-227 | 4.483528873454293e-225 |
| 5.0ms | 112× | 0 | valid |
Compiled 101 to 103 computations (-2% saved)
ival-div: 1.0ms (46.4% of total)ival-add: 1.0ms (46.4% of total)ival-mult: 1.0ms (46.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.217489323691886e+80 | -1.198701100078918e+62 |
Compiled 10 to 12 computations (-20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.217489323691886e+80 | -1.198701100078918e+62 |
Compiled 10 to 12 computations (-20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.0819872018908476e-39 | 2.835319535874668e-39 |
| 11.0ms | -1.368992101648628e+33 | -3.817315073867505e+29 |
| 10.0ms | 208× | 0 | valid |
Compiled 296 to 259 computations (12.5% saved)
ival-add: 3.0ms (53.7% of total)ival-div: 1.0ms (17.9% of total)ival-mult: 1.0ms (17.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 124 |
| 1 | 56 | 124 |
| 2 | 69 | 124 |
| 3 | 71 | 124 |
| 4 | 75 | 124 |
| 5 | 82 | 124 |
| 6 | 85 | 124 |
| 7 | 204 | 124 |
| 8 | 658 | 124 |
| 9 | 2823 | 124 |
| 10 | 3898 | 124 |
| 11 | 4783 | 124 |
| 12 | 4865 | 124 |
| 13 | 4950 | 124 |
| 14 | 5055 | 124 |
| 15 | 5176 | 124 |
| 16 | 6834 | 124 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 364657039298117/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) (fma.f64 (/.f64 x z) y x) (/.f64 x (/.f64 z (+.f64 z y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (fma.f64 (/.f64 x z) y x) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))) |
(if (<=.f64 z #s(literal -1079999999999999998957396688896 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))) |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 364657039298117/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) (fma.f64 (/.f64 x z) y x) (/.f64 x (/.f64 z (+.f64 z y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) (fma.f64 (/.f64 x z) y x) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -499999999999999960640939947832891370967751624529591925904999112061532074214948864 binary64)) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))) |
(if (<=.f64 z #s(literal -1079999999999999998957396688896 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))))) |
(if (or (<=.f64 z #s(literal -1079999999999999998957396688896 binary64)) (not (<=.f64 z #s(literal 6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)))) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))) |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 40 | 15 |
| 2 | 256 | 15 |
| 3 | 2338 | 15 |
| 0 | 8227 | 15 |
| 0 | 158 | 394 |
| 1 | 497 | 378 |
| 2 | 1328 | 354 |
| 3 | 4937 | 352 |
| 0 | 8431 | 332 |
| 0 | 50 | 94 |
| 1 | 171 | 94 |
| 2 | 490 | 94 |
| 3 | 1386 | 94 |
| 4 | 2840 | 94 |
| 5 | 3338 | 94 |
| 6 | 3685 | 94 |
| 7 | 4123 | 94 |
| 8 | 4309 | 94 |
| 9 | 4352 | 94 |
| 10 | 6238 | 94 |
| 11 | 7018 | 94 |
| 12 | 7240 | 94 |
| 13 | 7640 | 94 |
| 14 | 7652 | 94 |
| 15 | 7661 | 94 |
| 0 | 8330 | 89 |
| 0 | 20 | 94 |
| 0 | 32 | 95 |
| 1 | 127 | 95 |
| 2 | 877 | 91 |
| 0 | 8359 | 91 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 313 to 157 computations (49.8% saved)
Compiled 310 to 122 computations (60.6% saved)
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