
Time bar (total: 6.2s)
| 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)
| 802.0ms | 8 256× | 0 | valid |
ival-sin: 298.0ms (61.7% of total)ival-div: 124.0ms (25.7% of total)ival-mult: 51.0ms (10.6% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 10 | 0 | - | 0 | - | (/.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 | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 10 | 0 |
| - | 0 | 246 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 10 | 0 | 0 |
| - | 0 | 0 | 246 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 71.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-sin: 47.0ms (82.1% of total)ival-div: 7.0ms (12.2% of total)ival-mult: 3.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 |
|---|---|---|
| ▶ | 96.4% | (/.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 | 0.0 | (sin.f64 y) | |
| accuracy | 0.0859375 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.2653547314316103 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 18.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sin: 6.0ms (54.7% of total)ival-div: 3.0ms (27.3% of total)ival-mult: 2.0ms (18.2% of total)ival-true: 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 | |
|---|---|---|---|---|
| 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 | y | @ | 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))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) x) (*.f64 (neg.f64 y) z)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x) (*.f64 (neg.f64 y) z))) |
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(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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 10 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 214 | 10 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| 83.9% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 87.7% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| 86.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 50.9% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 52.0% | (/.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) |
| ▶ | 83.2% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 84.2% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| ▶ | 94.3% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 88.2% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ▶ | 59.1% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 214 to 174 computations (18.7% 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 | (/.f64 x z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 168 |
| 0 | 49 | 166 |
| 1 | 100 | 166 |
| 2 | 253 | 166 |
| 3 | 760 | 166 |
| 4 | 2399 | 166 |
| 5 | 4460 | 166 |
| 6 | 5920 | 166 |
| 0 | 8750 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
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 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
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 x (/.f64 (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 x (/.f64 (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 | 0.0 | (sin.f64 y) | |
| accuracy | 4.629073343749103 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| accuracy | 6.131580910611832 | (/.f64 (/.f64 x y) z) | |
| accuracy | 0.0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 3.049651403364036 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 4.629073343749103 | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.0625 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 2.2653547314316103 | (/.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 | 3.021630624689178 | (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) | |
| accuracy | 31.986193605610392 | #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 | 26.173379588418584 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 3.6081836865483603 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 61.0ms | 256× | 0 | valid |
Compiled 142 to 28 computations (80.3% saved)
ival-mult: 14.0ms (31% of total)ival-div: 10.0ms (22.1% of total)const: 10.0ms (22.1% of total)ival-sin: 7.0ms (15.5% of total)ival-add: 2.0ms (4.4% of total)ival-neg: 2.0ms (4.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) 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 z) |
(/ (* x (sin y)) y) |
(* 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)) |
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)))) |
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)))))) |
(* -1/6 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) 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 | |
|---|---|---|---|---|
| 93.0ms | z | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) 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) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) 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 | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) 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) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) 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 | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) 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 | 105 | 413 |
| 1 | 327 | 407 |
| 2 | 1102 | 385 |
| 3 | 4992 | 379 |
| 0 | 8351 | 352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ (* x (sin y)) y) |
(* 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)) |
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)))) |
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)))))) |
(* -1/6 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) 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) z) y) x) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* 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 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 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 (*.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 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #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) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 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 (*.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) |
(* -1/6 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)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.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) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal 1/120 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 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 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (*.f64 y y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 132 |
| 0 | 49 | 130 |
| 1 | 143 | 130 |
| 2 | 740 | 130 |
| 3 | 6388 | 130 |
| 0 | 8251 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) 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) z) (/.f64 x y)) |
(*.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) (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 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) (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 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) 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 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 y))) |
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(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 (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 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.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))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(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) z) (/.f64 x y)) |
(*.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) (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 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) (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 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) 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 13 597 to 1 630 computations (88% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 7 | 445 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 441 | 14 | 455 |
| Status | Accuracy | Program |
|---|---|---|
| 83.9% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 87.7% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| ▶ | 86.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ▶ | 52.0% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
| ✓ | 52.0% | (/.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) |
| ▶ | 50.9% | (/.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) |
| ✓ | 83.2% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 84.2% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| 88.2% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| ▶ | 91.1% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| 54.9% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| 43.8% | (*.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))) | |
| ▶ | 55.9% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 59.1% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 340 to 263 computations (22.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (/.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) | |
| 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 264 |
| 0 | 59 | 262 |
| 1 | 127 | 262 |
| 2 | 322 | 258 |
| 3 | 1035 | 258 |
| 4 | 3054 | 258 |
| 5 | 5433 | 258 |
| 0 | 8568 | 250 |
| 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 #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) |
#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)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
(*.f64 y y) |
y |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
x |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
z |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(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 #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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
#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)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
(*.f64 y y) |
y |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) (*.f64 y y) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) (*.f64 y y) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) y) y) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
x |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
z |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.1171875 | (*.f64 (sin.f64 y) x) | |
| accuracy | 8.423241347661987 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| accuracy | 0.35546875 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 2.2653547314316103 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) | |
| accuracy | 2.85985313445762 | (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 31.986193605610392 | #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| accuracy | 0.35546875 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 2.2653547314316103 | (/.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) | |
| accuracy | 31.986193605610392 | #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)) | |
| accuracy | 32.747371615176725 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 3.049651403364036 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 4.629073343749103 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 32.105183569247 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 1.8043555664290005 | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| accuracy | 6.637947436068318 | (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
| 68.0ms | 256× | 0 | valid |
Compiled 186 to 35 computations (81.2% saved)
ival-mult: 21.0ms (41.5% of total)ival-div: 7.0ms (13.8% of total)ival-add: 7.0ms (13.8% of total)const: 6.0ms (11.8% of total)ival-sin: 6.0ms (11.8% of total)ival-neg: 3.0ms (5.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 #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) |
#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)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 z y) |
(*.f64 #s(literal -1/6 binary64) x) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (sin y)) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2))))) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))) |
(/ 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)))))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* 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 z) |
(* -1 (/ (sin y) (* y z))) |
(sin y) |
(* -1 (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))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (* y y)) x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (* -1/6 x)) |
| 4.0ms | 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)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (* y y)) x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (* -1/6 x)) |
| 3.0ms | 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)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (* y y)) x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (* -1/6 x)) |
| 3.0ms | x | @ | 0 | ((* (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)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (* y y)) x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (* -1/6 x)) |
| 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)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (+ (* (* (* y y) 1/120) x) (* -1/6 x)) (* y y)) x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (* -1/6 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 513 |
| 1 | 423 | 505 |
| 2 | 1424 | 479 |
| 3 | 4144 | 475 |
| 0 | 8393 | 440 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (sin y)) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2))))) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))) |
(/ 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)))))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* 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 z) |
(* -1 (/ (sin y) (* y z))) |
(sin y) |
(* -1 (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))) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(* -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 (+ 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 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (+ 1/6 (* -1/120 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* -1 (* x (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64))) (neg.f64 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 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (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)) 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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/5040 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) z) (*.f64 y y)) (/.f64 #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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #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)) |
(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) |
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)))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (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)) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 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 (*.f64 y y) #s(literal -1/6 binary64) #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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y x)) |
(* y z) |
(*.f64 z y) |
(* -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)) |
(* 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 (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 220 |
| 0 | 59 | 218 |
| 1 | 189 | 214 |
| 2 | 1044 | 214 |
| 0 | 9378 | 206 |
| 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 #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) |
#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)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 z y) |
(*.f64 #s(literal -1/6 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y))) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x z)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 z (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x z)) y)) |
(neg.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (neg.f64 y))) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) y))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(neg.f64 x) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) z)) y) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) z) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y)) |
(/.f64 (sin.f64 y) (*.f64 z (neg.f64 y))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 y) z) y)) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z y)) (/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 z y))) |
(+.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z y)) (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 z y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) y))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 y) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.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)))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) (/.f64 x y)) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x z) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 y))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 y)) (/.f64 x z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) |
(*.f64 (/.f64 x y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z))) |
(*.f64 (/.f64 x (*.f64 z (neg.f64 y))) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 z (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z)) y) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (neg.f64 x) y))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x))) (*.f64 z (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) y) z) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (neg.f64 x) y)) z) |
(/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) (*.f64 z y)) |
(/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) (*.f64 z (neg.f64 y))) |
(neg.f64 (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) y)) |
(neg.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x y) z))) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(approx (neg (sin y)) (neg.f64 y)))) |
(neg.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y) (/.f64 x z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (/.f64 x z) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 z y)) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(neg.f64 (/.f64 (/.f64 x y) z)) |
(/.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x))) (neg.f64 z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
(neg.f64 (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) (neg.f64 z))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(neg.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))))) |
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(fma.f64 (neg.f64 x) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 z y) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 y z) |
(neg.f64 (*.f64 z (neg.f64 y))) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
Compiled 14 541 to 1 616 computations (88.9% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 9 | 397 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 390 | 21 | 411 |
| Status | Accuracy | Program |
|---|---|---|
| 83.9% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 52.8% | (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) y) z) | |
| 48.5% | (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) | |
| ▶ | 52.7% | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
| 87.7% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| ✓ | 86.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ▶ | 41.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
| 50.7% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| ✓ | 52.0% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
| ▶ | 51.0% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
| ✓ | 52.0% | (/.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) |
| 50.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (+.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) z) | |
| ✓ | 83.2% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 84.2% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| 48.6% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) | |
| ▶ | 88.2% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| ✓ | 91.1% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| ▶ | 58.9% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| 54.9% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| ✓ | 55.9% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 59.1% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 495 to 386 computations (22% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) | |
| cost-diff | 0 | (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) | |
| 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 z y) | |
| cost-diff | 0 | (/.f64 x (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 269 |
| 0 | 67 | 269 |
| 1 | 129 | 269 |
| 2 | 277 | 269 |
| 3 | 676 | 269 |
| 4 | 1640 | 266 |
| 5 | 3211 | 266 |
| 6 | 5163 | 266 |
| 7 | 6359 | 266 |
| 0 | 8167 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(sin.f64 y) |
(*.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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
y |
z |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
z |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(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) |
x |
(*.f64 z y) |
z |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/.f64 x (*.f64 z y)) |
(/.f64 x (*.f64 y z)) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(sin.f64 y) |
(*.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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
y |
z |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) z) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
z |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) (*.f64 y z)) |
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(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) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2519150648310848 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 2.644359970691625 | (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) | |
| accuracy | 8.423241347661987 | (/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) | |
| accuracy | 31.945610529157413 | #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 2.2653547314316103 | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) | |
| accuracy | 7.656328936548804 | (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) | |
| accuracy | 32.105183569247 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.35546875 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 2.2653547314316103 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) | |
| accuracy | 31.986193605610392 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) | |
| accuracy | 32.747371615176725 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 1.8043555664290005 | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 31.709190687101028 | #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 3.049651403364036 | (/.f64 x (*.f64 z y)) | |
| accuracy | 4.629073343749103 | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| 115.0ms | 256× | 0 | valid |
Compiled 186 to 41 computations (78% saved)
ival-mult: 56.0ms (57.1% of total)ival-neg: 14.0ms (14.3% of total)ival-div: 12.0ms (12.2% of total)ival-sin: 6.0ms (6.1% of total)const: 6.0ms (6.1% of total)ival-add: 3.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
(*.f64 z 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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 (neg.f64 x) y) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x (* y z)) |
(* -1 x) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(* -1 (/ x y)) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (sin y)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(/ 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)) |
(* y 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 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)) |
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)))))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(* 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))))))) |
(+ (* -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 |
(+ 1 (* -1/6 (pow y 2))) |
(sin y) |
(* -1 (/ (sin y) (* y z))) |
(* 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 3))) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | ((* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 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)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (* (+ (* (* y y) -1/6) 1) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* (+ (* (* y y) -1/6) 1) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (+ (* (* y y) -1/6) 1)) |
| 5.0ms | y | @ | -inf | ((* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 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)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (* (+ (* (* y y) -1/6) 1) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* (+ (* (* y y) -1/6) 1) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (+ (* (* y y) -1/6) 1)) |
| 4.0ms | x | @ | -inf | ((* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 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)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (* (+ (* (* y y) -1/6) 1) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* (+ (* (* y y) -1/6) 1) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (+ (* (* y y) -1/6) 1)) |
| 4.0ms | x | @ | 0 | ((* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 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)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (* (+ (* (* y y) -1/6) 1) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* (+ (* (* y y) -1/6) 1) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (+ (* (* y y) -1/6) 1)) |
| 4.0ms | x | @ | inf | ((* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 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)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (* (+ (* (* y y) -1/6) 1) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* (+ (* (* y y) -1/6) 1) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (+ (* (* y y) -1/6) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 658 |
| 1 | 509 | 640 |
| 2 | 1780 | 614 |
| 3 | 5410 | 610 |
| 0 | 8310 | 570 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x (* y z)) |
(* -1 x) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(* -1 (/ x y)) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (sin y)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(/ 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)) |
(* y 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 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)) |
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)))))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(* 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))))))) |
(+ (* -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 |
(+ 1 (* -1/6 (pow y 2))) |
(sin y) |
(* -1 (/ (sin y) (* y z))) |
(* 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 3))) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1/6 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 x (*.f64 y z)) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* 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))) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (neg.f64 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 (*.f64 y x) #s(literal -1/6 binary64)) y (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)) z) |
(* y z) |
(*.f64 y 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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #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)) |
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 (*.f64 y x) #s(literal -1/6 binary64)) y (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)) |
(* -1/6 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) 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 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64))) |
(+ (* -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)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.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 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(sin y) |
(sin.f64 y) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z) |
(* 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 (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)))) |
(* -1/6 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64)) |
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) (pow.f64 y #s(literal 3 binary64))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y) |
(* 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 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (*.f64 y y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 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) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 241 |
| 0 | 67 | 241 |
| 1 | 187 | 241 |
| 2 | 897 | 241 |
| 3 | 7186 | 241 |
| 0 | 8249 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
(*.f64 z 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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 (neg.f64 x) y) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
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(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 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 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #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 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
Compiled 16 387 to 1 891 computations (88.5% saved)
25 alts after pruning (13 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 5 | 465 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 461 | 25 | 486 |
| Status | Accuracy | Program |
|---|---|---|
| 83.9% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 48.5% | (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) | |
| 52.8% | (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) y) z) | |
| ✓ | 52.7% | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
| 87.7% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| ✓ | 86.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 29.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) x)) y)) (*.f64 z y)) | |
| ✓ | 41.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
| 9.5% | (/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x) y)) (*.f64 z y)) | |
| 28.6% | (/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (* (+ (* (* y y) -1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)) y)) (*.f64 z y)) | |
| 50.7% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| ✓ | 52.0% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
| ✓ | 51.0% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
| ✓ | 52.0% | (/.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) |
| 50.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (+.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) z) | |
| ✓ | 83.2% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 84.2% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| 48.6% | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) | |
| ✓ | 88.2% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| ✓ | 91.1% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| 56.7% | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 y z))) | |
| ✓ | 58.9% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| 54.9% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| ✓ | 55.9% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 59.1% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 917 to 445 computations (51.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 y z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) 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 #s(approx (* x (/ (sin y) y)) (+.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) z) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) y) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.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 (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (* (+ (* (* y y) -1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) x)) y)) (*.f64 z y)) |
(*.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) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 11.0ms | y |
| 8.0ms | z |
| 8.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 8.0ms | x |
| 8.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | (/.f64 (sin.f64 y) y) |
| 99.8% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 99.8% | 2 | x |
| 98.0% | 2 | y |
| 96.4% | 1 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 y z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) 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 #s(approx (* x (/ (sin y) y)) (+.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) z) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) y) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.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 (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (* (+ (* (* y y) -1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) x)) y)) (*.f64 z y)) |
(*.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) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
4 calls:
| 24.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 7.0ms | x |
| 7.0ms | y |
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | y |
| 98.0% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 98.0% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 97.5% | 2 | x |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 y z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) 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 #s(approx (* x (/ (sin y) y)) (+.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) z) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) y) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.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 (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (* (+ (* (* y y) -1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) x)) y)) (*.f64 z y)) |
(*.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))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
6 calls:
| 9.0ms | z |
| 7.0ms | y |
| 7.0ms | x |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 6.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 1 | x |
| 97.3% | 2 | y |
| 91.1% | 1 | z |
| 97.3% | 2 | (/.f64 (sin.f64 y) y) |
| 91.1% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 93.4% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 y z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.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 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) 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 #s(approx (* x (/ (sin y) y)) (+.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) z) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) y) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.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 (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (* (+ (* (* y y) -1/6) 1) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) x)) y)) (*.f64 z y)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
6 calls:
| 37.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 6.0ms | y |
| 6.0ms | x |
| 6.0ms | z |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 2 | z |
| 62.9% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.1% | 2 | x |
| 65.3% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 65.6% | 2 | (/.f64 (sin.f64 y) y) |
| 65.8% | 2 | y |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 y z))) |
| Outputs |
|---|
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 65.0% | 2 | (/.f64 (sin.f64 y) y) |
| 65.0% | 2 | y |
Compiled 13 to 15 computations (-15.4% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 1 | x |
| 59.1% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 60.8% | 2 | z |
| 61.2% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 61.2% | 2 | y |
| 61.2% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
Total -0.1b remaining (-0.4%)
Threshold costs -0.1b (-0.4%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
4 calls:
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 1 | z |
| 59.1% | 1 | y |
| 59.1% | 1 | (/.f64 (sin.f64 y) y) |
| 59.1% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 14 to 18 computations (-28.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 3.7190166059664026e-35 | 4.316192150665242e-34 |
| 3.0ms | 48× | 0 | valid |
Compiled 59 to 61 computations (-3.4% saved)
ival-div: 1.0ms (43.1% of total)ival-sin: 1.0ms (43.1% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.7249512917808968e+26 | -5229855076683.658 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.480022990170652e-11 | 5.846288324454172e-8 |
| 5.0ms | 96× | 0 | valid |
Compiled 131 to 121 computations (7.6% saved)
ival-div: 1.0ms (36.5% of total)ival-mult: 1.0ms (36.5% of total)ival-sin: 1.0ms (36.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 432355431900.3324 | 709236074270025.8 |
| 10.0ms | 128× | 0 | valid |
Compiled 235 to 205 computations (12.8% saved)
ival-sin: 4.0ms (59.3% of total)ival-div: 2.0ms (29.7% of total)ival-mult: 1.0ms (14.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.362765362314924e-63 | 6.949321002338808e-55 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4.84578819526e-313 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 184 |
| 1 | 80 | 184 |
| 2 | 111 | 182 |
| 3 | 160 | 182 |
| 4 | 236 | 182 |
| 5 | 349 | 182 |
| 6 | 639 | 182 |
| 7 | 1398 | 182 |
| 8 | 2609 | 182 |
| 9 | 5619 | 182 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 4676805239458889/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -100000000000000004764729344 binary64)) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 y #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(if (<=.f64 y #s(literal 27500000000000 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 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 (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #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 4676805239458889/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -100000000000000004764729344 binary64)) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -100000000000000004764729344 binary64)) (*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 y #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(if (<=.f64 y #s(literal 27500000000000 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 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 (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #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 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 0 | 29 | 132 |
| 0 | 49 | 130 |
| 1 | 143 | 130 |
| 2 | 740 | 130 |
| 3 | 6388 | 130 |
| 0 | 8251 | 130 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 0 | 130 | 513 |
| 1 | 423 | 505 |
| 2 | 1424 | 479 |
| 3 | 4144 | 475 |
| 0 | 8393 | 440 |
| 0 | 105 | 413 |
| 1 | 327 | 407 |
| 2 | 1102 | 385 |
| 3 | 4992 | 379 |
| 0 | 8351 | 352 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 395 to 201 computations (49.1% saved)
(negabs z)
(abs y)
Compiled 612 to 252 computations (58.8% saved)
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