
Time bar (total: 6.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 812.0ms | 8 256× | 0 | valid |
ival-sin: 257.0ms (54.3% of total)ival-div: 121.0ms (25.5% of total)ival-mult: 85.0ms (17.9% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.6% of total)adjust: 2.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 11 | 0 | - | 1 | (3.720038115590878e-179 -2.1462256400686432e+142 5.383423256878424e-225) | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) | u/n | 10 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 36 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 10 | 1 |
| - | 0 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 10 | 0 | 1 |
| - | 0 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 78.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-sin: 12.0ms (53.1% of total)ival-div: 7.0ms (31% of total)ival-mult: 3.0ms (13.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 81 |
| 1 | 73 | 75 |
| 2 | 183 | 75 |
| 3 | 412 | 75 |
| 4 | 874 | 75 |
| 5 | 1621 | 75 |
| 6 | 2365 | 75 |
| 7 | 4126 | 75 |
| 8 | 7396 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 24 | 8 |
| 3 | 34 | 8 |
| 4 | 46 | 8 |
| 5 | 48 | 8 |
| 0 | 48 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(abs y)
(negabs z)
(negabs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.1% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 24 | 23 |
| 3 | 34 | 23 |
| 4 | 46 | 23 |
| 5 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.10546875 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.14453125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.457459929046604 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 27.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 7.0ms (43.4% of total)ival-sin: 6.0ms (37.2% of total)ival-div: 3.0ms (18.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 3.0ms | y | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) z) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) z))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z))) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) z)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) z)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 x z)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 x z)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z)) y) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 x)) (*.f64 z y)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 x)) (*.f64 z y))) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 z y)) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 z y))) |
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(sin.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (PI.f64) (neg.f64 y))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 y) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(cos.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64))))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
Compiled 4 287 to 984 computations (77% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 211 | 12 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 212 | 12 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.1% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 86.3% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| 68.8% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| 85.9% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 84.4% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) | |
| 50.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 50.5% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| ▶ | 82.5% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 82.6% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| 85.4% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) | |
| ▶ | 84.2% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ▶ | 56.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 266 to 214 computations (19.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 2 | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 171 |
| 0 | 51 | 169 |
| 1 | 101 | 169 |
| 2 | 244 | 169 |
| 3 | 764 | 169 |
| 4 | 2452 | 169 |
| 5 | 4538 | 169 |
| 6 | 5998 | 169 |
| 0 | 8059 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
x |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal -1/6 binary64) |
(*.f64 y y) |
z |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) |
x |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal -1/6 binary64) |
(*.f64 y y) |
z |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 5.356070499251048 | (/.f64 (/.f64 x y) z) | |
| accuracy | 5.880295628534957 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 4.274344013680674 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 5.880295628534957 | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.08984375 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 2.457459929046604 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) | |
| accuracy | 3.5160957716543204 | (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) | |
| accuracy | 32.44301581723566 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 27.934359261524776 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.11328125 | (*.f64 (sin.f64 y) x) | |
| accuracy | 2.457459929046604 | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| accuracy | 6.343802358761156 | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 118.0ms | 256× | 0 | valid |
Compiled 145 to 30 computations (79.3% saved)
ival-div: 48.0ms (60.4% of total)ival-mult: 14.0ms (17.6% of total)ival-sin: 7.0ms (8.8% of total)const: 6.0ms (7.5% of total)ival-add: 2.0ms (2.5% of total)ival-neg: 2.0ms (2.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(*.f64 #s(literal 1/120 binary64) y) |
(neg.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(/ x z) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1 (/ x (* y z))) |
(/ x (* y z)) |
(/ x y) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* 1/120 y) |
(sin y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | x | @ | inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (* 1/120 y) (neg y)) |
| 5.0ms | y | @ | 0 | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (* 1/120 y) (neg y)) |
| 5.0ms | x | @ | -inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (* 1/120 y) (neg y)) |
| 4.0ms | x | @ | 0 | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (* 1/120 y) (neg y)) |
| 3.0ms | y | @ | -inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (* 1/120 y) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 421 |
| 1 | 351 | 415 |
| 2 | 1186 | 393 |
| 3 | 3490 | 391 |
| 0 | 8131 | 359 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(/ x z) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1 (/ x (* y z))) |
(/ x (* y z)) |
(/ x y) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* 1/120 y) |
(sin y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ x z) |
(/.f64 x z) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) (neg.f64 y)) #s(literal 1 binary64))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) z) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x) y (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) x))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64)) y)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(sin y) |
(sin.f64 y) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 138 |
| 0 | 51 | 136 |
| 1 | 146 | 136 |
| 2 | 725 | 136 |
| 3 | 6358 | 136 |
| 0 | 8221 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(*.f64 #s(literal 1/120 binary64) y) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) x) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z))) y) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
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(sin.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (PI.f64) y)) |
(sin.f64 (neg.f64 y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 y (PI.f64))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 y (PI.f64)))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/.f64 (neg.f64 x) (*.f64 z y)) |
(/.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 (/.f64 x z) (neg.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) x) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z))) y) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 x z) y) |
(/.f64 x (*.f64 z y)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(*.f64 #s(literal 1/120 binary64) y) |
(*.f64 y #s(literal 1/120 binary64)) |
(neg.f64 y) |
Compiled 13 756 to 1 712 computations (87.6% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 454 | 7 | 461 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 457 | 16 | 473 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.1% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 84.3% | (/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) | |
| 86.3% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| 68.8% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| 85.9% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| ▶ | 50.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| ✓ | 50.5% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| 50.4% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) | |
| 85.4% | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) | |
| ✓ | 82.5% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| ▶ | 82.6% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ▶ | 84.2% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| ▶ | 88.7% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| 40.0% | (*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ▶ | 54.3% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 56.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 348 to 276 computations (20.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (/.f64 x (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 2 | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 158 |
| 0 | 48 | 162 |
| 1 | 94 | 162 |
| 2 | 205 | 156 |
| 3 | 436 | 156 |
| 4 | 710 | 156 |
| 5 | 967 | 156 |
| 6 | 1197 | 156 |
| 7 | 1727 | 156 |
| 8 | 3081 | 156 |
| 9 | 4895 | 156 |
| 10 | 7849 | 156 |
| 0 | 8007 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(neg.f64 x) |
x |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(sin.f64 y) |
y |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(sin.f64 y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(neg.f64 x) |
x |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(sin.f64 y) |
y |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(neg.f64 y) |
z |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 z (neg.f64 y))) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 x (*.f64 z (neg.f64 y))) |
x |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(sin.f64 y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.12109375 | (/.f64 (sin.f64 y) z) | |
| accuracy | 10.99778993278747 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 4.274344013680674 | (/.f64 x (*.f64 z y)) | |
| accuracy | 5.880295628534957 | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.10546875 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 2.457459929046604 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| accuracy | 32.60131491332623 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 4.274344013680674 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 5.880295628534957 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 32.72043959038738 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 1.9547882835706516 | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| accuracy | 7.707586054117059 | (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
| 92.0ms | 256× | 0 | valid |
Compiled 134 to 28 computations (79.1% saved)
ival-sin: 18.0ms (35.6% of total)ival-mult: 13.0ms (25.7% of total)ival-div: 11.0ms (21.7% of total)const: 4.0ms (7.9% of total)ival-neg: 3.0ms (5.9% of total)ival-add: 1.0ms (2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(neg.f64 x) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(sin.f64 y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 x y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) y) |
(/ x (* y z)) |
(/ x y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* y z) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* -1 (/ (sin y) (* y z))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (sin y) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 3.0ms | y | @ | inf | ((* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 2.0ms | z | @ | -inf | ((* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 2.0ms | x | @ | -inf | ((* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 2.0ms | z | @ | inf | ((* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 452 |
| 1 | 378 | 440 |
| 2 | 1263 | 410 |
| 3 | 4547 | 402 |
| 0 | 8056 | 371 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) y) |
(/ x (* y z)) |
(/ x y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* y z) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* -1 (/ (sin y) (* y z))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (sin y) z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x y) |
(/.f64 x y) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(-.f64 (*.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y)) (/.f64 #s(literal 1 binary64) z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64)) z)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) z) (/.f64 y z)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) z) y) |
(sin y) |
(sin.f64 y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 124 |
| 0 | 48 | 129 |
| 1 | 122 | 123 |
| 2 | 511 | 123 |
| 3 | 3164 | 114 |
| 0 | 8727 | 114 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(neg.f64 x) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(sin.f64 y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y))) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))) |
(neg.f64 x) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z y)) (*.f64 (*.f64 z y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))) (*.f64 (*.f64 z y) (*.f64 z y))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z y) (*.f64 (*.f64 z y) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) (*.f64 (*.f64 z y) (*.f64 z y))) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(neg.f64 (/.f64 (/.f64 (sin.f64 y) y) z)) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z y)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 z y))) |
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(fma.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (exp.f64 (log.f64 #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/6 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (pow.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/216 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(+.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/216 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/216 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y))) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 x z) y) |
(/.f64 (neg.f64 x) (*.f64 z y)) |
(/.f64 x (*.f64 z y)) |
(neg.f64 (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 z) y) |
(*.f64 z y) |
(*.f64 y (neg.f64 z)) |
(*.f64 y z) |
(neg.f64 (*.f64 z y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y))) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 z)) (*.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (sin.f64 y)))) (*.f64 (neg.f64 z) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) z) (*.f64 z (*.f64 #s(literal 1 binary64) (sin.f64 y)))) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) (*.f64 (neg.f64 z) (neg.f64 z))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) z (*.f64 z (*.f64 (cos.f64 y) #s(literal 0 binary64)))) (*.f64 z z)) |
(/.f64 (sin.f64 y) (neg.f64 z)) |
(/.f64 (sin.f64 y) z) |
(neg.f64 (/.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) z) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) z)) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 z)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 z))) |
(+.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) z) (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) z)) |
(+.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 z)) (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 z))) |
(/.f64 (neg.f64 x) y) |
(/.f64 x y) |
(neg.f64 (/.f64 x y)) |
Compiled 13 249 to 1 905 computations (85.6% saved)
27 alts after pruning (19 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 613 | 15 | 628 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 617 | 27 | 644 |
| Status | Accuracy | Program |
|---|---|---|
| 84.3% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| ✓ | 89.1% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 13.8% | (/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (neg.f64 x)) y) | |
| ▶ | 51.3% | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
| ▶ | 86.3% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
| 68.8% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| 85.9% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 17.9% | (/.f64 (*.f64 #s(approx (neg (sin y)) y) (neg.f64 x)) (*.f64 z y)) | |
| 50.3% | (/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) | |
| ✓ | 50.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| ✓ | 50.5% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| 85.4% | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) | |
| ✓ | 82.5% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 52.8% | (*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) y)) | |
| ✓ | 82.6% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| 46.0% | (*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 x y)) | |
| ✓ | 84.2% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| ✓ | 88.7% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| ▶ | 19.6% | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
| ▶ | 56.2% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| 23.6% | (*.f64 #s(approx (neg (sin y)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| 23.7% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) | |
| ▶ | 23.6% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
| 21.3% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (sqrt.f64 (*.f64 y y)) z))) | |
| 23.6% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) | |
| 54.8% | (*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) | |
| ✓ | 56.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 539 to 437 computations (18.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) | |
| cost-diff | 4 | (*.f64 (sqrt.f64 y) (sqrt.f64 y)) | |
| cost-diff | 0 | #s(approx (neg (sin y)) y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) | |
| cost-diff | 0 | #s(approx (neg (sin y)) y) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 170 |
| 0 | 51 | 154 |
| 1 | 100 | 154 |
| 2 | 237 | 154 |
| 3 | 741 | 154 |
| 4 | 1619 | 154 |
| 5 | 2438 | 154 |
| 6 | 3055 | 154 |
| 7 | 4569 | 154 |
| 0 | 8150 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
z |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 x) |
x |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(neg.f64 x) |
x |
(/.f64 #s(approx (neg (sin y)) y) (*.f64 z y)) |
#s(approx (neg (sin y)) y) |
y |
(*.f64 z y) |
z |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) |
(/.f64 x z) |
x |
z |
#s(approx (neg (sin y)) y) |
y |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z)) |
x |
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(sqrt.f64 y) |
z |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
z |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 (neg.f64 x) y)) |
(neg.f64 x) |
x |
(/.f64 #s(approx (neg (sin y)) y) (*.f64 z y)) |
(/.f64 (/.f64 #s(approx (neg (sin y)) y) z) y) |
#s(approx (neg (sin y)) y) |
y |
(*.f64 z y) |
z |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) y) x) z) |
(*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) |
(*.f64 (/.f64 #s(approx (neg (sin y)) y) z) x) |
(/.f64 x z) |
x |
z |
#s(approx (neg (sin y)) y) |
y |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
(*.f64 (/.f64 (/.f64 x z) y) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z)) |
(/.f64 (/.f64 x z) y) |
x |
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z) |
(*.f64 z y) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
y |
(sqrt.f64 y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.50390625 | (*.f64 (sqrt.f64 y) (sqrt.f64 y)) | |
| accuracy | 4.274344013680674 | (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z)) | |
| accuracy | 5.880295628534957 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) | |
| accuracy | 32.72043959038738 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 3.1970426829249194 | (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) | |
| accuracy | 6.851869243191166 | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) | |
| accuracy | 61.83427398419151 | #s(approx (neg (sin y)) y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 1.9547882835706516 | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) | |
| accuracy | 7.707586054117059 | (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y)) | |
| accuracy | 61.83427398419151 | #s(approx (neg (sin y)) y) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 1.9547882835706516 | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 32.3384880753472 | #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 2.457459929046604 | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| accuracy | 8.376810462229642 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 73.0ms | 256× | 0 | valid |
Compiled 146 to 28 computations (80.8% saved)
ival-mult: 30.0ms (56.4% of total)ival-div: 12.0ms (22.6% of total)ival-sin: 6.0ms (11.3% of total)ival-neg: 3.0ms (5.6% of total)ival-sqrt: 2.0ms (3.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 x) |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 #s(approx (neg (sin y)) y) (*.f64 z y)) |
#s(approx (neg (sin y)) y) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) |
(/.f64 x z) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x y) |
(* -1 x) |
(* -1 (/ (* x (sin y)) (* y z))) |
(* -1 (/ (* x (sin y)) z)) |
(/ x z) |
(/ x (* y z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z))))) |
(+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z))))))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(sin y) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (sin y)) |
(* -1 (* y (pow (sqrt -1) 2))) |
(/ (* x (sin y)) (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (/ x (* y (* z (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | z | @ | -inf | ((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (/ (* (/ x z) (neg (sin y))) y) (* (/ x z) (neg (sin y))) (/ x z) (* (sqrt y) (sqrt y)) (* (neg (sin y)) (/ x (* (* (sqrt y) (sqrt y)) z))) (neg (sin y)) (neg y) (/ x (* (* (sqrt y) (sqrt y)) z))) |
| 4.0ms | y | @ | -inf | ((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (/ (* (/ x z) (neg (sin y))) y) (* (/ x z) (neg (sin y))) (/ x z) (* (sqrt y) (sqrt y)) (* (neg (sin y)) (/ x (* (* (sqrt y) (sqrt y)) z))) (neg (sin y)) (neg y) (/ x (* (* (sqrt y) (sqrt y)) z))) |
| 3.0ms | x | @ | 0 | ((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (/ (* (/ x z) (neg (sin y))) y) (* (/ x z) (neg (sin y))) (/ x z) (* (sqrt y) (sqrt y)) (* (neg (sin y)) (/ x (* (* (sqrt y) (sqrt y)) z))) (neg (sin y)) (neg y) (/ x (* (* (sqrt y) (sqrt y)) z))) |
| 2.0ms | x | @ | inf | ((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (/ (* (/ x z) (neg (sin y))) y) (* (/ x z) (neg (sin y))) (/ x z) (* (sqrt y) (sqrt y)) (* (neg (sin y)) (/ x (* (* (sqrt y) (sqrt y)) z))) (neg (sin y)) (neg y) (/ x (* (* (sqrt y) (sqrt y)) z))) |
| 2.0ms | z | @ | 0 | ((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (/ (* (/ x z) (neg (sin y))) y) (* (/ x z) (neg (sin y))) (/ x z) (* (sqrt y) (sqrt y)) (* (neg (sin y)) (/ x (* (* (sqrt y) (sqrt y)) z))) (neg (sin y)) (neg y) (/ x (* (* (sqrt y) (sqrt y)) z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 504 |
| 1 | 445 | 484 |
| 2 | 1648 | 445 |
| 3 | 5489 | 436 |
| 0 | 8128 | 403 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x y) |
(* -1 x) |
(* -1 (/ (* x (sin y)) (* y z))) |
(* -1 (/ (* x (sin y)) z)) |
(/ x z) |
(/ x (* y z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z))))) |
(+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z))))))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(sin y) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (sin y)) |
(* -1 (* y (pow (sqrt -1) 2))) |
(/ (* x (sin y)) (* y (* z (pow (sqrt -1) 2)))) |
(* -1 (/ x (* y (* z (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/ x y) |
(/.f64 x y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (/ (* x (sin y)) (* y z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z)) |
(* -1 (/ (* x (sin y)) z)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) x) |
(/ x z) |
(/.f64 x z) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) z) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) z) y) (/.f64 #s(literal 1 binary64) z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64)) z)) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z))))) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 x)) z) |
(+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z))))))) |
(/.f64 (fma.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) z) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 x)) z) y) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) z) y) |
(sin y) |
(sin.f64 y) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (* y (pow (sqrt -1) 2))) |
y |
(/ (* x (sin y)) (* y (* z (pow (sqrt -1) 2)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z)) |
(* -1 (/ x (* y (* z (pow (sqrt -1) 2))))) |
(/.f64 (/.f64 x z) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 136 |
| 0 | 51 | 123 |
| 1 | 123 | 123 |
| 2 | 470 | 111 |
| 3 | 2334 | 111 |
| 0 | 8277 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 x) |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 #s(approx (neg (sin y)) y) (*.f64 z y)) |
#s(approx (neg (sin y)) y) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) |
(/.f64 x z) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 (sqrt.f64 y) z)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (/.f64 x (sqrt.f64 y)) z)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) z)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 (sin.f64 y) z) (sqrt.f64 y))) |
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(/.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) z) (sqrt.f64 y)) |
(/.f64 (/.f64 x z) y) |
(/.f64 (neg.f64 x) (*.f64 z y)) |
(/.f64 x (*.f64 z y)) |
(neg.f64 (/.f64 (/.f64 x z) y)) |
Compiled 11 677 to 1 694 computations (85.5% saved)
35 alts after pruning (22 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 11 | 569 |
| Fresh | 3 | 11 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 8 | 8 |
| Total | 561 | 35 | 596 |
| Status | Accuracy | Program |
|---|---|---|
| 84.2% | (/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (sqrt.f64 y)) (sqrt.f64 y)) | |
| 84.3% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| ✓ | 89.1% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 48.8% | (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) y) (/.f64 x (sqrt.f64 y))) z) (sqrt.f64 y)) | |
| 54.2% | (/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (/.f64 x z)) (sqrt.f64 y)) | |
| 17.0% | (/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (neg.f64 x)) (*.f64 (sqrt.f64 y) z)) | |
| 52.0% | (/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) x) (*.f64 (sqrt.f64 y) z)) | |
| 13.8% | (/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) x) y) | |
| ✓ | 51.3% | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
| ✓ | 86.3% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
| 85.9% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 17.9% | (/.f64 (*.f64 #s(approx (neg (sin y)) y) (neg.f64 x)) (*.f64 z y)) | |
| 50.3% | (/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) | |
| ✓ | 50.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| ✓ | 50.5% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| 85.4% | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) | |
| ✓ | 82.5% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 52.8% | (*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) y)) | |
| ✓ | 82.6% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| 46.0% | (*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 x y)) | |
| ✓ | 84.2% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| 48.2% | (*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) y)) | |
| 13.8% | (*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) z) y)) | |
| ✓ | 88.7% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| ✓ | 19.6% | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
| 18.1% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal -1/2 binary64)))) | |
| ✓ | 56.2% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| 23.6% | (*.f64 #s(approx (neg (sin y)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| 23.7% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) | |
| ✓ | 23.6% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
| 21.3% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (sqrt.f64 (*.f64 y y)) z))) | |
| 23.6% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 #s(approx (* (sqrt y) (sqrt y)) y) z))) | |
| 54.8% | (*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) | |
| 13.7% | #s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) | |
| ✓ | 56.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 1 014 to 505 computations (50.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 #s(approx (* (sqrt y) (sqrt y)) y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) (neg.f64 x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) z) y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) x) y) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (sqrt.f64 (*.f64 y y)) z))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) x) (*.f64 (sqrt.f64 y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (neg.f64 x)) (*.f64 (sqrt.f64 y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (/.f64 x z)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) y) (/.f64 x (sqrt.f64 y))) z) (sqrt.f64 y)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 30.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 13.0ms | y |
| 12.0ms | z |
| 12.0ms | x |
| 11.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | (/.f64 (sin.f64 y) y) |
| 98.3% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 98.8% | 2 | x |
| 96.1% | 1 | y |
| 96.1% | 1 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 #s(approx (* (sqrt y) (sqrt y)) y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) (neg.f64 x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) z) y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) x) y) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (sqrt.f64 (*.f64 y y)) z))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) x) (*.f64 (sqrt.f64 y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (neg.f64 x)) (*.f64 (sqrt.f64 y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (/.f64 x z)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) y) (/.f64 x (sqrt.f64 y))) z) (sqrt.f64 y)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
| Outputs |
|---|
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
6 calls:
| 19.0ms | y |
| 10.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 10.0ms | x |
| 9.0ms | z |
| 9.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 2 | (/.f64 (sin.f64 y) y) |
| 96.2% | 2 | y |
| 94.3% | 3 | z |
| 94.3% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 97.5% | 4 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 92.7% | 2 | x |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 #s(approx (* (sqrt y) (sqrt y)) y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) (neg.f64 x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) z) y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) x) y) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (sqrt.f64 (*.f64 y y)) z))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) x) (*.f64 (sqrt.f64 y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (neg.f64 x)) (*.f64 (sqrt.f64 y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (/.f64 x z)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) y) (/.f64 x (sqrt.f64 y))) z) (sqrt.f64 y)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
2 calls:
| 11.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | (/.f64 (sin.f64 y) y) |
| 96.1% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 #s(approx (* (sqrt y) (sqrt y)) y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) (neg.f64 x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) z) y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) x) y) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (sqrt.f64 (*.f64 y y)) z))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) z))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (sqrt.f64 y) (sqrt.f64 y))) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) x) (*.f64 (sqrt.f64 y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (neg.f64 x)) (*.f64 (sqrt.f64 y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (sqrt.f64 y)) (/.f64 x z)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) y) (/.f64 x (sqrt.f64 y))) z) (sqrt.f64 y)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 z)) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
6 calls:
| 35.0ms | x |
| 10.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | y |
| 8.0ms | z |
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 2 | x |
| 62.2% | 2 | z |
| 68.8% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 65.1% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 69.0% | 3 | (/.f64 (sin.f64 y) y) |
| 67.3% | 2 | y |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 #s(approx (* (sqrt y) (sqrt y)) y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) (neg.f64 x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) z) y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) x) y) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(approx (neg (sin y)) y) (neg.f64 z)) y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (sqrt.f64 (*.f64 y y)) z))) |
| Outputs |
|---|
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
1 calls:
| 5.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 #s(approx (* (sqrt y) (sqrt y)) y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) (neg.f64 x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) y)) y) |
| Outputs |
|---|
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
1 calls:
| 4.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
(/.f64 (*.f64 #s(approx (neg (sin y)) y) x) (*.f64 z y)) |
| Outputs |
|---|
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.4% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.3% | 2 | y |
| 62.3% | 2 | (/.f64 (sin.f64 y) y) |
| 64.0% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| Outputs |
|---|
#s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 2.0ms | y |
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 56.4% | 1 | z |
| 56.4% | 1 | x |
| 58.1% | 2 | (/.f64 (sin.f64 y) y) |
| 56.4% | 1 | y |
| 58.1% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
4 calls:
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 1 | z |
| 56.4% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 56.4% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 56.4% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 19 to 21 computations (-10.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.216359736136322e-204 | 3.4657929113188563e-202 |
| 8.0ms | 112× | 0 | valid |
Compiled 123 to 125 computations (-1.6% saved)
ival-sin: 3.0ms (59.5% of total)ival-div: 1.0ms (19.8% of total)ival-mult: 1.0ms (19.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.0005984833733115371 | 0.01827090157731211 |
| 4.0ms | 80× | 0 | valid |
Compiled 161 to 133 computations (17.4% saved)
ival-div: 1.0ms (42.2% of total)ival-sin: 1.0ms (42.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.3043538249650114e-14 | 2.632221743747374e-7 |
| 11.0ms | 128× | 0 | valid |
Compiled 171 to 157 computations (8.2% saved)
ival-div: 2.0ms (51.1% of total)ival-mult: 1.0ms (25.5% of total)ival-sin: 1.0ms (25.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2283687055e-314 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2283687055e-314 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.2283687055e-314 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.030432808133147e-213 | 2.9463610661217572e-210 |
| 0.0ms | -7.86123491835212e-229 | -1.1925742098604158e-250 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -3.3686713450007047e-296 | -1.8272019259328307e-305 |
| 9.0ms | 144× | 0 | valid |
Compiled 245 to 211 computations (13.9% saved)
ival-div: 1.0ms (41.7% of total)ival-mult: 1.0ms (41.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 297 |
| 1 | 96 | 297 |
| 2 | 138 | 297 |
| 3 | 193 | 297 |
| 4 | 271 | 297 |
| 5 | 359 | 297 |
| 6 | 929 | 297 |
| 7 | 5371 | 297 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 7501287077818703/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304 binary64)) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 y #s(literal 1152921504606847/144115188075855872 binary64)) (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 y #s(literal 4533471823554859/302231454903657293676544 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -6828046779268971/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048 binary64)) #s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 7580654747562055/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) (*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -7313362668330559/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) #s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 7501287077818703/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304 binary64)) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 y #s(literal 1152921504606847/144115188075855872 binary64)) (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 y #s(literal 4533471823554859/302231454903657293676544 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z)) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -6828046779268971/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048 binary64)) #s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 7580654747562055/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) (*.f64 x (/.f64 #s(approx (neg (sin y)) y) (*.f64 z y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -7313362668330559/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) #s(approx (/ (* (/ x z) (neg (sin y))) y) (/.f64 (neg.f64 x) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 138 |
| 0 | 51 | 136 |
| 1 | 146 | 136 |
| 2 | 725 | 136 |
| 3 | 6358 | 136 |
| 0 | 8221 | 136 |
| 0 | 136 | 504 |
| 1 | 445 | 484 |
| 2 | 1648 | 445 |
| 3 | 5489 | 436 |
| 0 | 8128 | 403 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 0 | 108 | 421 |
| 1 | 351 | 415 |
| 2 | 1186 | 393 |
| 3 | 3490 | 391 |
| 0 | 8131 | 359 |
| 0 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 0 | 28 | 124 |
| 0 | 48 | 129 |
| 1 | 122 | 123 |
| 2 | 511 | 123 |
| 3 | 3164 | 114 |
| 0 | 8727 | 114 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 297 to 68 computations (77.1% saved)
(negabs z)
(abs y)
Compiled 842 to 288 computations (65.8% saved)
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