
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 873.0ms | 8 256× | 0 | valid |
ival-sin: 284.0ms (46.6% of total)ival-mult: 183.0ms (30.1% of total)ival-div: 132.0ms (21.7% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 15 | 0 | - | 4 | (-3.6713659765735206e-124 -2.9790334794322315e+198 -1.70589422543728e-205) | (/.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 | 11 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 4 |
| - | 0 | 241 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 4 |
| - | 0 | 0 | 241 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-sin: 11.0ms (44.3% of total)ival-div: 9.0ms (36.2% of total)ival-mult: 3.0ms (12.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 81 |
| 1 | 73 | 75 |
| 2 | 183 | 75 |
| 3 | 412 | 75 |
| 4 | 874 | 75 |
| 5 | 1621 | 75 |
| 6 | 2365 | 75 |
| 7 | 4126 | 75 |
| 8 | 7396 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 24 | 8 |
| 3 | 34 | 8 |
| 4 | 46 | 8 |
| 5 | 48 | 8 |
| 0 | 48 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(abs y)
(negabs z)
(negabs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.0% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 24 | 23 |
| 3 | 34 | 23 |
| 4 | 46 | 23 |
| 5 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.06640625 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 3.1541679213061373 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 25.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-div: 6.0ms (43.9% of total)ival-sin: 6.0ms (43.9% of total)ival-mult: 2.0ms (14.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))) |
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(sin.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (PI.f64) (neg.f64 y))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 y) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(cos.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64))))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
Compiled 4 287 to 984 computations (77% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 8 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 215 | 9 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.1% | (/.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))) |
| 67.5% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) | |
| ▶ | 86.1% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ▶ | 80.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
| ✓ | 95.0% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 54.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| 79.4% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| ▶ | 84.4% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ▶ | 59.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 248 to 183 computations (26.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (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))) | |
| cost-diff | 3 | (*.f64 #s(literal 0 binary64) (cos.f64 y)) | |
| cost-diff | 4 | (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) | |
| cost-diff | 9 | (/.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))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) z)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) 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 z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| 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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 287 |
| 0 | 70 | 169 |
| 1 | 161 | 157 |
| 2 | 432 | 157 |
| 3 | 1780 | 157 |
| 4 | 6992 | 157 |
| 0 | 8177 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
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 x (/.f64 (sin.f64 y) z)) y) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
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))) 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 (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) |
(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))) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
(sin.f64 y) |
y |
#s(literal 3 binary64) |
#s(literal -1 binary64) |
(pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 #s(literal 0 binary64) (cos.f64 y)) |
#s(literal 0 binary64) |
(cos.f64 y) |
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 (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))))) |
(pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
#s(literal 1 binary64) |
#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)))) |
(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 #s(literal -1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(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 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
x |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
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))) 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 (/.f64 (sin.f64 y) z) x) y) |
(*.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 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(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))) |
(neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
(sin.f64 y) |
y |
#s(literal 3 binary64) |
#s(literal -1 binary64) |
(pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) |
#s(literal 0 binary64) |
(*.f64 #s(literal 0 binary64) (cos.f64 y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(cos.f64 y) |
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 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (neg.f64 y)) |
(+.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))))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(sin.f64 y) |
#s(literal 1 binary64) |
#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)))) |
#s(literal 0 binary64) |
(pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
#s(literal 0 binary64) |
(*.f64 #s(literal -1 binary64) (sin.f64 y)) |
(neg.f64 (sin.f64 y)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3633576172213043 | (pow.f64 (sin.f64 y) #s(literal 3 binary64)) | |
| accuracy | 1.3880228889719401 | (*.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)) | |
| accuracy | 3.6127821326095346 | (*.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) | |
| accuracy | 23.236588863588423 | (/.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))) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.13671875 | (/.f64 (sin.f64 y) z) | |
| accuracy | 2.9854002608660584 | (*.f64 x (/.f64 (sin.f64 y) z)) | |
| accuracy | 9.485746133750062 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 3.532900686240523 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 6.574720875255076 | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 25.979507376442722 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 8.826581345966988 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 131.0ms | 256× | 0 | valid |
Compiled 288 to 42 computations (85.4% saved)
ival-mult: 17.0ms (29.9% of total)ival-div: 12.0ms (21.1% of total)ival-sin: 6.0ms (10.5% of total)ival-pow: 6.0ms (10.5% of total)ival-cos: 5.0ms (8.8% of total)ival-pow2: 4.0ms (7% of total)ival-add: 2.0ms (3.5% of total)ival-neg: 2.0ms (3.5% of total)ival-sub: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 z y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
(*.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 x (/.f64 (sin.f64 y) z)) y) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (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))) 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 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (cos.f64 y)) |
(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))) |
(neg.f64 y) |
(*.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)) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(/ x z) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) z) |
(* -1 (* x (pow (sin y) 3))) |
(+ (* -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 y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* y z) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ (* x y) z) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(* y (+ (* (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 (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
0 |
(* -1 (pow y 3)) |
(* (pow y 3) (- (* 1/2 (pow y 2)) 1)) |
(* (pow y 3) (- (* (pow y 2) (+ 1/2 (* -13/120 (pow y 2)))) 1)) |
(* (pow y 3) (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 41/3024 (pow y 2)) 13/120)))) 1)) |
(* -1 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1 x) (* 1/2 (* x (pow y 2))))) |
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (+ (* -13/120 (* x (pow y 2))) (* 1/2 x))))) |
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (+ (* 1/2 x) (* (pow y 2) (+ (* -13/120 x) (* 41/3024 (* x (pow y 2))))))))) |
(* -1 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))) |
(* (pow y 3) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))) |
(* (pow y 3) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z)))))))) |
(pow y 3) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) z) |
(* -1 (pow (sin y) 3)) |
(* -1 (* y (* z (pow (sin y) 2)))) |
(pow (sin y) 3) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z))) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg y) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z)) (pow (sin y) 3)) |
| 5.0ms | y | @ | inf | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z))) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg y) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z)) (pow (sin y) 3)) |
| 4.0ms | y | @ | -inf | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z))) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg y) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z)) (pow (sin y) 3)) |
| 3.0ms | x | @ | 0 | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z))) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg y) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z)) (pow (sin y) 3)) |
| 3.0ms | x | @ | inf | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (/ (* x (/ (sin y) y)) z) (/ x z) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z))) (* (* -1 (sin y)) (* 0 (cos y))) (* 0 (cos y)) (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) (neg y) (* (+ (* (pow (sin y) 3) -1) (pow (* 0 (cos y)) 3)) x) (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z)) (pow (sin y) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 686 |
| 1 | 697 | 655 |
| 2 | 2689 | 622 |
| 3 | 5701 | 616 |
| 0 | 8090 | 570 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(/ x z) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) z) |
(* -1 (* x (pow (sin y) 3))) |
(+ (* -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 y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* y z) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ (* x y) z) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(* y (+ (* (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 (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
0 |
(* -1 (pow y 3)) |
(* (pow y 3) (- (* 1/2 (pow y 2)) 1)) |
(* (pow y 3) (- (* (pow y 2) (+ 1/2 (* -13/120 (pow y 2)))) 1)) |
(* (pow y 3) (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 41/3024 (pow y 2)) 13/120)))) 1)) |
(* -1 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1 x) (* 1/2 (* x (pow y 2))))) |
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (+ (* -13/120 (* x (pow y 2))) (* 1/2 x))))) |
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (+ (* 1/2 x) (* (pow y 2) (+ (* -13/120 x) (* 41/3024 (* x (pow y 2))))))))) |
(* -1 (* (pow y 3) z)) |
(* (pow y 3) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))) |
(* (pow y 3) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))) |
(* (pow y 3) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z)))))))) |
(pow y 3) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) z) |
(* -1 (pow (sin y) 3)) |
(* -1 (* y (* z (pow (sin y) 2)))) |
(pow (sin y) 3) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ x z) |
(/.f64 x z) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(* -1 (* x (pow (sin y) 3))) |
(*.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) z) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y)) |
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) |
(* y z) |
(*.f64 z y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(/.f64 (*.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) z) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) z) y) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) z) (/.f64 y z)) |
0 |
#s(literal 0 binary64) |
(* -1 (pow y 3)) |
(pow.f64 (neg.f64 y) #s(literal 3 binary64)) |
(* (pow y 3) (- (* 1/2 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (* (pow y 2) (+ 1/2 (* -13/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -13/120 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (- (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 41/3024 (pow y 2)) 13/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 41/3024 binary64) (*.f64 y y)) #s(literal 13/120 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* x (pow y 3))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x) |
(* (pow y 3) (+ (* -1 x) (* 1/2 (* x (pow y 2))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (+ (* -13/120 (* x (pow y 2))) (* 1/2 x))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -13/120 binary64) (*.f64 y y) #s(literal 1/2 binary64))) y) y (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (+ (* 1/2 x) (* (pow y 2) (+ (* -13/120 x) (* 41/3024 (* x (pow y 2))))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 41/3024 binary64) y) y #s(literal -13/120 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) z)) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z) |
(* (pow y 3) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))) |
(*.f64 (*.f64 z (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64))) (*.f64 y y) (neg.f64 z)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (fma.f64 #s(literal 1/315 binary64) (*.f64 y y) #s(literal -2/45 binary64))) (*.f64 z (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 13/120 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -41/3024 binary64) (-.f64 (*.f64 #s(literal 13/120 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(sin y) |
(sin.f64 y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* -1 (pow (sin y) 3)) |
(pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) |
(* -1 (* y (* z (pow (sin y) 2)))) |
(*.f64 (*.f64 y (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 z)) |
(pow (sin y) 3) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 185 |
| 0 | 70 | 60 |
| 1 | 263 | 60 |
| 2 | 1421 | 38 |
| 0 | 10053 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 z y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
(*.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 x (/.f64 (sin.f64 y) z)) y) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (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))) 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 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(*.f64 #s(literal 0 binary64) (cos.f64 y)) |
(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))) |
(neg.f64 y) |
(*.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)) |
(pow.f64 (sin.f64 y) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 z y) |
(*.f64 y z) |
(neg.f64 (*.f64 (neg.f64 y) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 z y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x z)) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/.f64 (neg.f64 x) (*.f64 z y)) |
(/.f64 (/.f64 x z) (neg.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 (/.f64 x z) y)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (/.f64 #s(literal 0 binary64) z) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 0 binary64) z) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 #s(literal 0 binary64) (/.f64 x z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 x (/.f64 #s(literal 0 binary64) z)) |
(/.f64 #s(literal 0 binary64) (neg.f64 z)) |
(/.f64 #s(literal 0 binary64) z) |
(neg.f64 (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (/.f64 #s(literal 0 binary64) z) (neg.f64 x) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (/.f64 #s(literal 0 binary64) z) x (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (/.f64 x z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 x (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(+.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 (/.f64 #s(literal 0 binary64) z) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 0 binary64) z) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))) |
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x z))) |
(*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) |
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 #s(literal 0 binary64) (/.f64 x z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) z)) |
(*.f64 x (/.f64 #s(literal 0 binary64) z)) |
(/.f64 #s(literal 0 binary64) (neg.f64 z)) |
(/.f64 #s(literal 0 binary64) z) |
(neg.f64 (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (/.f64 #s(literal 0 binary64) z) (neg.f64 x) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (/.f64 #s(literal 0 binary64) z) x (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal 0 binary64) (/.f64 x z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(fma.f64 x (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
(+.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 0 binary64) z)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(neg.f64 y) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
Compiled 3 298 to 537 computations (83.7% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 6 | 141 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 136 | 14 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| 57.9% | (/.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) #s(approx (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z)) (*.f64 (*.f64 y (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 z)))) | |
| ▶ | 67.5% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
| ✓ | 86.1% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 80.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
| ✓ | 95.0% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| ▶ | 46.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
| 54.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| 45.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) | |
| 51.2% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) | |
| ▶ | 79.4% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| ✓ | 84.4% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ▶ | 52.6% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 59.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ▶ | 18.2% | #s(literal 0 binary64) |
Compiled 344 to 263 computations (23.5% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) | |
| cost-diff | 2 | (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) | |
| cost-diff | 6 | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) | |
| 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 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 143 |
| 0 | 46 | 135 |
| 1 | 86 | 135 |
| 2 | 207 | 133 |
| 3 | 630 | 133 |
| 4 | 2011 | 133 |
| 5 | 4775 | 133 |
| 0 | 8308 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(sin.f64 y) |
#s(literal 0 binary64) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
(*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) |
x |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 (sin.f64 y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
(*.f64 (sin.f64 y) z) |
z |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(sin.f64 y) |
#s(literal 0 binary64) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #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)) |
x |
(*.f64 (neg.f64 y) z) |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) x) |
x |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 (sin.f64 y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
(*.f64 (sin.f64 y) z) |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.29525375976844204 | (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) | |
| accuracy | 9.507072362068378 | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) | |
| accuracy | 13.965344384170827 | (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 2.9854002608660584 | (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) | |
| accuracy | 9.485746133750062 | (/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) | |
| accuracy | 30.009012950351458 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 3.532900686240523 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 6.574720875255076 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 30.16826885356702 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 6.574720875255076 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| accuracy | 6.679952840368384 | (/.f64 (/.f64 x y) z) |
| 77.0ms | 256× | 0 | valid |
Compiled 127 to 25 computations (80.3% saved)
ival-div: 30.0ms (48.1% of total)ival-mult: 23.0ms (36.9% of total)ival-sin: 6.0ms (9.6% of total)ival-neg: 3.0ms (4.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
(*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x (* y z)) |
(/ x y) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) z) |
(/ (* x (pow (sin y) 2)) 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)) |
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 y) z) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(* y (+ (* (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 (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* x y) |
(* y (+ x (* -1/3 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/3 (pow y 2)) 1)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) z) |
(* -1 (pow (sin y) 2)) |
(* z (sin y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | y | @ | -inf | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ y z) (/ (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) z)) (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) (neg (sin y))) (* (sin y) z)) |
| 3.0ms | y | @ | inf | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ y z) (/ (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) z)) (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) (neg (sin y))) (* (sin y) z)) |
| 3.0ms | x | @ | -inf | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ y z) (/ (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) z)) (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) (neg (sin y))) (* (sin y) z)) |
| 3.0ms | x | @ | inf | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ y z) (/ (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) z)) (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) (neg (sin y))) (* (sin y) z)) |
| 2.0ms | x | @ | 0 | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) z)) y) (* x (/ (sin y) z)) (/ (sin y) z) (/ y z) (/ (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) z)) (* (* (sin y) (neg (sin y))) (/ (neg x) y)) (* (sin y) (neg (sin y))) (* (sin y) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 540 |
| 1 | 526 | 520 |
| 2 | 1889 | 488 |
| 3 | 5651 | 478 |
| 0 | 8382 | 440 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x (* y z)) |
(/ x y) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) z) |
(/ (* x (pow (sin y) 2)) 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)) |
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 y) z) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(* y (+ (* (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 (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* x y) |
(* y (+ x (* -1/3 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/3 (pow y 2)) 1)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1)) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) z) |
(* -1 (pow (sin y) 2)) |
(* z (sin y)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/ (* x (sin y)) z) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(/ (* x (pow (sin y) 2)) y) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) y) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 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 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x (*.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) z) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) z) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x (*.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) z) y) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) z) (/.f64 y z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/3 (* x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) x) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 2/45 binary64) y) y #s(literal -1/3 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/315 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 2/45 binary64) y) y #s(literal -1/3 binary64)))) (*.f64 y x)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* 1/3 (pow y 2)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/315 binary64) y) y) #s(literal 2/45 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(sin y) |
(sin.f64 y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* -1 (pow (sin y) 2)) |
(neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 115 |
| 0 | 45 | 115 |
| 1 | 100 | 112 |
| 2 | 414 | 105 |
| 3 | 2674 | 105 |
| 0 | 9406 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
(*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) |
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) (neg.f64 y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z y))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(neg.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) (neg.f64 z)))) |
(neg.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (sin.f64 y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y)) |
(/.f64 (/.f64 x z) 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 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 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y)))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y))) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)))) (fabs.f64 (cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)))) (fabs.f64 (sin.f64 (-.f64 y (PI.f64))))) |
(/.f64 (fabs.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)))) (fabs.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 (fabs.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)))) (fabs.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 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 (+.f64 (neg.f64 y) y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (sin.f64 (+.f64 (+.f64 (PI.f64) y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (sin.f64 (+.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) y) (neg.f64 y))) (cos.f64 (+.f64 (+.f64 (PI.f64) y) (neg.f64 y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) (+.f64 (PI.f64) y))) (cos.f64 (+.f64 (neg.f64 y) (+.f64 (PI.f64) y))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (fma.f64 (sin.f64 y) (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (sqrt.f64 #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (sqrt.f64 #s(literal -2 binary64))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 #s(literal 0 binary64) (cos.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))) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.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)))) |
(sin.f64 (acos.f64 (neg.f64 (cos.f64 y)))) |
(sin.f64 (acos.f64 (cos.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) |
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fabs.f64 (neg.f64 (sin.f64 y))) |
(fabs.f64 (sin.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 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.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 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.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 (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 (asin.f64 (neg.f64 (cos.f64 y)))) |
(cos.f64 (asin.f64 (cos.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)))) |
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y)) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y) (/.f64 (neg.f64 x) z)) |
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(/.f64 (+.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))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (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))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (+.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))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (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))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (cos.f64 (-.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 y (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) (sin.f64 (+.f64 y (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) (cos.f64 (+.f64 (neg.f64 y) y))) #s(literal 2 binary64)) |
(neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (sin.f64 y) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(-.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 (neg.f64 y) y)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))) #s(literal 2 binary64))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (sin.f64 y)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (sin.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (/.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 z) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 17 729 to 2 692 computations (84.8% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 749 | 6 | 755 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 754 | 15 | 769 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.7% | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
| ✓ | 86.1% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 80.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
| ✓ | 46.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
| 54.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 45.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) |
| ▶ | 51.2% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
| 67.2% | (*.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) | |
| ✓ | 79.4% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 84.4% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| ▶ | 47.9% | (*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
| 55.5% | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) | |
| ▶ | 89.9% | (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
| ✓ | 59.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ✓ | 18.2% | #s(literal 0 binary64) |
Compiled 289 to 235 computations (18.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 1 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 217 |
| 0 | 61 | 217 |
| 1 | 116 | 217 |
| 2 | 265 | 215 |
| 3 | 710 | 212 |
| 4 | 1826 | 212 |
| 5 | 4092 | 212 |
| 6 | 6036 | 212 |
| 7 | 7014 | 212 |
| 0 | 8038 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
x |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
y |
(*.f64 z y) |
z |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 z y) |
z |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(/.f64 x y) |
x |
y |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
z |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal -2 binary64) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
x |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(sin.f64 y) |
y |
(*.f64 z y) |
z |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 z y) |
z |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
z |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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 z y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
#s(literal -1/6 binary64) |
(*.f64 z y) |
z |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) z) (*.f64 (sin.f64 y) y)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal 2 binary64) y)) |
(cos.f64 (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal -2 binary64) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 9.507072362068378 | (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) | |
| accuracy | 13.965344384170827 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) | |
| accuracy | 15.898116021139236 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) | |
| accuracy | 8.826581345966988 | (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) | |
| accuracy | 9.239646489483984 | (*.f64 (*.f64 y y) x) | |
| accuracy | 30.057832396538437 | #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 11.693107257198813 | (*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) | |
| accuracy | 30.009012950351458 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 8.826581345966988 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) | |
| accuracy | 29.97034732457194 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 2.083110299041368 | (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) | |
| accuracy | 6.912937012922292 | (/.f64 (sin.f64 y) (*.f64 z y)) |
| 86.0ms | 81× | 2 | valid |
| 37.0ms | 124× | 0 | valid |
| 18.0ms | 39× | 1 | valid |
| 9.0ms | 12× | 3 | valid |
Compiled 183 to 34 computations (81.4% saved)
ival-div: 50.0ms (43.7% of total)ival-cos: 21.0ms (18.4% of total)ival-mult: 18.0ms (15.7% of total)adjust: 10.0ms (8.7% of total)ival-sin: 6.0ms (5.2% of total)const: 4.0ms (3.5% of total)ival-sub: 3.0ms (2.6% of total)ival-add: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
(*.f64 z y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(/.f64 x y) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (*.f64 y y) x) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x y) |
(/ x y) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* 1/2 (/ (* x (- 1 (cos (* 2 y)))) y)) |
(* 1/2 (/ (* x (- 1 (cos (* 2 y)))) (* y (* z (sin y))))) |
(* x (pow y 2)) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (- (* 1/6 (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)))) |
(* y z) |
(* 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) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(* y (+ x (* -1/3 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(+ (* 1/2 (* (pow y 2) (- (* -2/3 (/ x z)) (* -1/3 (/ x z))))) (/ x z)) |
(+ (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z)))))) (* 1/2 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))))) (/ x z)) |
(+ (* (pow y 2) (+ (* 1/2 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* -2/315 (/ x z)) (+ (* -1/6 (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z))))) (+ (* -1/2520 (/ x z)) (* 1/120 (- (* -2/3 (/ x z)) (* -1/3 (/ x z))))))))) (* 1/2 (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z))))))))) (/ x z)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/3 (pow y 2)) 1)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1)) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (* -2/3 (pow y 2)))) |
(* (pow y 2) (+ 2 (* (pow y 2) (- (* 4/45 (pow y 2)) 2/3)))) |
(* (pow y 2) (+ 2 (* (pow y 2) (- (* (pow y 2) (+ 4/45 (* -2/315 (pow y 2)))) 2/3)))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(/ (sin y) (* y z)) |
(sin y) |
(/ (sin y) z) |
(* -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)))) |
(* -1/2 (- 1 (cos (* 2 y)))) |
(- 1 (cos (* 2 y))) |
(* z (sin y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | 0 | ((* x (/ (sin y) (* z y))) (/ (sin y) (* z y)) (sin y) (* z y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* (/ x y) (/ (sin y) z)) (/ x y) (/ (sin y) z) (/ y z) (* (+ (* (* (* y y) x) -1/6) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* (* y y) x) -1/6) x) (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (/ (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (* (sin y) z)) (/ (- 1 (cos (* 2 y))) -2) (- 1 (cos (* 2 y))) (* (* y y) x) (* (sin y) z)) |
| 10.0ms | y | @ | -inf | ((* x (/ (sin y) (* z y))) (/ (sin y) (* z y)) (sin y) (* z y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* (/ x y) (/ (sin y) z)) (/ x y) (/ (sin y) z) (/ y z) (* (+ (* (* (* y y) x) -1/6) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* (* y y) x) -1/6) x) (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (/ (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (* (sin y) z)) (/ (- 1 (cos (* 2 y))) -2) (- 1 (cos (* 2 y))) (* (* y y) x) (* (sin y) z)) |
| 5.0ms | x | @ | -inf | ((* x (/ (sin y) (* z y))) (/ (sin y) (* z y)) (sin y) (* z y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* (/ x y) (/ (sin y) z)) (/ x y) (/ (sin y) z) (/ y z) (* (+ (* (* (* y y) x) -1/6) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* (* y y) x) -1/6) x) (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (/ (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (* (sin y) z)) (/ (- 1 (cos (* 2 y))) -2) (- 1 (cos (* 2 y))) (* (* y y) x) (* (sin y) z)) |
| 5.0ms | y | @ | inf | ((* x (/ (sin y) (* z y))) (/ (sin y) (* z y)) (sin y) (* z y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* (/ x y) (/ (sin y) z)) (/ x y) (/ (sin y) z) (/ y z) (* (+ (* (* (* y y) x) -1/6) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* (* y y) x) -1/6) x) (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (/ (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (* (sin y) z)) (/ (- 1 (cos (* 2 y))) -2) (- 1 (cos (* 2 y))) (* (* y y) x) (* (sin y) z)) |
| 4.0ms | x | @ | inf | ((* x (/ (sin y) (* z y))) (/ (sin y) (* z y)) (sin y) (* z y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* (/ x y) (/ (sin y) z)) (/ x y) (/ (sin y) z) (/ y z) (* (+ (* (* (* y y) x) -1/6) x) y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* (* y y) x) -1/6) x) (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (/ (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (* (sin y) z)) (/ (- 1 (cos (* 2 y))) -2) (- 1 (cos (* 2 y))) (* (* y y) x) (* (sin y) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 855 |
| 1 | 820 | 811 |
| 2 | 3139 | 761 |
| 0 | 8014 | 699 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x y) |
(/ x y) |
(* x (* y (+ 1 (* -1/6 (pow y 2))))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* 1/2 (/ (* x (- 1 (cos (* 2 y)))) y)) |
(* 1/2 (/ (* x (- 1 (cos (* 2 y)))) (* y (* z (sin y))))) |
(* x (pow y 2)) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(* -1 (* x (- (* 1/6 (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)))) |
(* y z) |
(* 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) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(* y (+ x (* -1/3 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(+ (* 1/2 (* (pow y 2) (- (* -2/3 (/ x z)) (* -1/3 (/ x z))))) (/ x z)) |
(+ (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z)))))) (* 1/2 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))))) (/ x z)) |
(+ (* (pow y 2) (+ (* 1/2 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* -2/315 (/ x z)) (+ (* -1/6 (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z))))) (+ (* -1/2520 (/ x z)) (* 1/120 (- (* -2/3 (/ x z)) (* -1/3 (/ x z))))))))) (* 1/2 (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z))))))))) (/ x z)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/3 (pow y 2)) 1)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1)) |
(* 2 (pow y 2)) |
(* (pow y 2) (+ 2 (* -2/3 (pow y 2)))) |
(* (pow y 2) (+ 2 (* (pow y 2) (- (* 4/45 (pow y 2)) 2/3)))) |
(* (pow y 2) (+ 2 (* (pow y 2) (- (* (pow y 2) (+ 4/45 (* -2/315 (pow y 2)))) 2/3)))) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(/ (sin y) (* y z)) |
(sin y) |
(/ (sin y) z) |
(* -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)))) |
(* -1/2 (- 1 (cos (* 2 y)))) |
(- 1 (cos (* 2 y))) |
(* z (sin y)) |
(* -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 (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x y) |
(*.f64 y x) |
(/ x y) |
(/.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 (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* 1/2 (/ (* x (- 1 (cos (* 2 y)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (/.f64 x y)) |
(* 1/2 (/ (* x (- 1 (cos (* 2 y)))) (* y (* z (sin y))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 x y) (sin.f64 y)))) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) |
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) 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)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) z) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (/.f64 (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)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/5040 binary64) (/.f64 (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 #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) |
(* y z) |
(*.f64 z y) |
(* 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 #s(literal 1/120 binary64) (*.f64 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 (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 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal -1/5040 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) z)) (/.f64 y 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) |
(* y (+ x (* -1/3 (* x (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) x) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 2/45 binary64) y) y #s(literal -1/3 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/315 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 2/45 binary64) y) y #s(literal -1/3 binary64)))) (*.f64 y x)) |
(+ (* 1/2 (* (pow y 2) (- (* -2/3 (/ x z)) (* -1/3 (/ x z))))) (/ x z)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) |
(+ (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z)))))) (* 1/2 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/60 binary64) (/.f64 x z) (*.f64 (/.f64 x z) #s(literal 1/30 binary64))) (*.f64 (/.f64 x z) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
(+ (* (pow y 2) (+ (* 1/2 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (- (* -2/315 (/ x z)) (+ (* -1/6 (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z))))) (+ (* -1/2520 (/ x z)) (* 1/120 (- (* -2/3 (/ x z)) (* -1/3 (/ x z))))))))) (* 1/2 (- (* 4/45 (/ x z)) (+ (* -1/6 (- (* -2/3 (/ x z)) (* -1/3 (/ x z)))) (* 1/60 (/ x z))))))))) (/ x z)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/315 binary64) (/.f64 x z)) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (/.f64 x z) (*.f64 (/.f64 x z) #s(literal 1/30 binary64))) #s(literal -1/6 binary64) (*.f64 (/.f64 x z) #s(literal -1/315 binary64)))) (*.f64 y y) (fma.f64 #s(literal -1/60 binary64) (/.f64 x z) (*.f64 (/.f64 x z) #s(literal 1/30 binary64)))) #s(literal 1/2 binary64)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* 1/3 (pow y 2)) 1)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y)) |
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/315 binary64) (*.f64 y y)) #s(literal 2/45 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y)) |
(* 2 (pow y 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) y) |
(* (pow y 2) (+ 2 (* -2/3 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y) y) |
(* (pow y 2) (+ 2 (* (pow y 2) (- (* 4/45 (pow y 2)) 2/3)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 4/45 binary64) (*.f64 y y)) #s(literal 2/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) y) |
(* (pow y 2) (+ 2 (* (pow y 2) (- (* (pow y 2) (+ 4/45 (* -2/315 (pow y 2)))) 2/3)))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/315 binary64) (-.f64 (*.f64 #s(literal 4/45 binary64) (*.f64 y y)) #s(literal 2/3 binary64))) (*.f64 y y) #s(literal 2 binary64)) (*.f64 y y)) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) z)) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(sin y) |
(sin.f64 y) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* -1/6 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) x) |
(* (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) |
(* -1/2 (- 1 (cos (* 2 y)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) |
(- 1 (cos (* 2 y))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -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 | 36 | 174 |
| 0 | 61 | 174 |
| 1 | 169 | 174 |
| 0 | 909 | 174 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
(*.f64 z y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(/.f64 x y) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (*.f64 y y) x) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 (neg.f64 z) y))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(neg.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
(sin.f64 y) |
(*.f64 z y) |
(*.f64 y z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) z) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x)))) (neg.f64 (*.f64 (neg.f64 z) y))) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) z) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x))) (*.f64 (neg.f64 z) y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x))) (*.f64 z y))) |
(neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 (neg.f64 z) y))) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ (sin y) z) (/.f64 y z))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) x) y) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x (neg.f64 (neg.f64 y))) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 x x)) y) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) |
(/.f64 (*.f64 y (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) y (*.f64 y x)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) y)) |
(fma.f64 y x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))) |
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) y)) |
(fma.f64 x y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) y) (*.f64 y x)) |
(+.f64 (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) y)) |
(+.f64 (*.f64 y x) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y)) y) z) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y)) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y)))) (neg.f64 (*.f64 (neg.f64 z) y))) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y)) z) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) (*.f64 (neg.f64 z) y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y)) (*.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y))) (*.f64 z y))) |
(neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y)) (*.f64 (neg.f64 z) y))) |
#s(approx (* (sin y) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) y)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x))) |
(-.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x) |
(+.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) x) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) x) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) #s(literal -2 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (/.f64 (neg.f64 x) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) x) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (neg.f64 x)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) #s(literal -2 binary64)) y) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) z)) |
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) z) (/.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 (/.f64 (neg.f64 x) y) z) (sin.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) z) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -2 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -2 binary64) (sin.f64 y))) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) (*.f64 z (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (neg.f64 x) y) z) (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))) z) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) (/.f64 (/.f64 (neg.f64 x) y) z)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (/.f64 (/.f64 (/.f64 (neg.f64 x) y) z) (sin.f64 y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 (/.f64 (neg.f64 x) y) z) (sin.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -2 binary64) (sin.f64 y))) (/.f64 (neg.f64 x) y)) z) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -2 binary64) (sin.f64 y))))) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (*.f64 #s(literal -2 binary64) (sin.f64 y)))) z) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) #s(literal -2 binary64)) (*.f64 y (*.f64 z (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) (/.f64 x y)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 z (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))) (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))) (*.f64 z (sin.f64 y))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) (/.f64 x y)) (*.f64 z (sin.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal -2 binary64)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal 2 binary64))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) (+.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
Compiled 5 079 to 875 computations (82.8% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 5 | 241 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 239 | 17 | 256 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))) z) (sin.f64 y)) | |
| ✓ | 86.1% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 80.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
| ✓ | 46.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
| 54.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| 48.7% | (/.f64 #s(approx (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (/.f64 x y))) (*.f64 (sin.f64 y) z)) | |
| 45.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) y)) (*.f64 z y)) | |
| 8.6% | (/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y)) (*.f64 z y)) | |
| ✓ | 51.2% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
| ✓ | 79.4% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 84.4% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| ✓ | 47.9% | (*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
| 55.5% | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) | |
| ✓ | 89.9% | (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
| 59.3% | (*.f64 x #s(approx (/ (sin y) (* z y)) (/.f64 #s(literal 1 binary64) z))) | |
| ✓ | 59.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ✓ | 18.2% | #s(literal 0 binary64) |
Compiled 645 to 337 computations (47.8% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (sin y) (* z y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.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 z y))) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) |
(*.f64 x (/.f64 (sin.f64 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 (sin.f64 y)) (/.f64 x (*.f64 (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 (/.f64 (sin.f64 y) z)) y) |
(/.f64 #s(approx (* (/ (- 1 (cos (* 2 y))) -2) (/ (neg x) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)))) (/.f64 x y))) (*.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y))) (/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (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))) x) #s(approx (* (+ (pow (* 1 (sin y)) 2) (- (pow (* 0 (cos y)) 2) (* (* -1 (sin y)) (* 0 (cos y))))) (* (neg y) z)) (*.f64 (*.f64 y (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 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))) 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))) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 24.0ms | x |
| 7.0ms | z |
| 7.0ms | y |
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 7.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (/.f64 (sin.f64 y) y) |
| 98.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 98.4% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.9% | 2 | x |
| 95.0% | 1 | y |
| 95.0% | 1 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (sin y) (* z y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.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 z y))) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) |
(*.f64 x (/.f64 (sin.f64 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 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 19.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | y |
| 89.9% | 1 | z |
| 89.9% | 1 | x |
| 96.1% | 2 | (/.f64 (sin.f64 y) y) |
| 89.9% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 93.0% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (sin y) (* z y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.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 z y))) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
2 calls:
| 6.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | (/.f64 (sin.f64 y) y) |
| 96.1% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (sin y) (* z y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.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 z y))) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) z) (/.f64 y z))) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)) (*.f64 z y)) |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 7.0ms | x |
| 4.0ms | z |
| 4.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 4.0ms | y |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 62.0% | 2 | z |
| 61.4% | 2 | x |
| 63.8% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.4% | 2 | (/.f64 (sin.f64 y) y) |
| 64.7% | 2 | y |
Compiled 21 to 27 computations (-28.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
6 calls:
| 6.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.2% | 1 | x |
| 18.2% | 1 | z |
| 18.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 18.2% | 1 | (/.f64 (sin.f64 y) y) |
| 18.2% | 1 | y |
| 18.2% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5e-323 | 1.156582628e-314 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.213529264904806e-5 | 0.9999999999994227 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 2.9184684875736297e-15 | 1.1010390633735265e-14 |
| 5.0ms | 80× | 0 | valid |
Compiled 111 to 103 computations (7.2% saved)
ival-div: 1.0ms (36.8% of total)ival-sin: 1.0ms (36.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 2.84967e-319 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 101 |
| 1 | 35 | 101 |
| 2 | 43 | 101 |
| 3 | 53 | 101 |
| 4 | 65 | 101 |
| 5 | 67 | 101 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal 5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 y #s(literal 3486039150627631/316912650057057350374175801344 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) #s(literal 0 binary64) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal 5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 y #s(literal 3486039150627631/316912650057057350374175801344 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) #s(literal 0 binary64) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(literal 0 binary64) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 185 |
| 0 | 70 | 60 |
| 1 | 263 | 60 |
| 2 | 1421 | 38 |
| 0 | 10053 | 38 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 0 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 0 | 26 | 115 |
| 0 | 45 | 115 |
| 1 | 100 | 112 |
| 2 | 414 | 105 |
| 3 | 2674 | 105 |
| 0 | 9406 | 105 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 101 to 30 computations (70.3% saved)
(negabs z)
(abs y)
Compiled 490 to 212 computations (56.7% saved)
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