
Time bar (total: 6.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 904.0ms | 8 256× | 0 | valid |
ival-sin: 396.0ms (60.2% of total)ival-div: 142.0ms (21.6% of total)ival-mult: 106.0ms (16.1% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)adjust: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 8 | 0 | - | 2 | (-6.804948433023321e-31 2.065649732096586e+291 -3.3273640253519714e-163) | (/.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 | 6 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 23 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 6 | 2 |
| - | 0 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 6 | 0 | 2 |
| - | 0 | 0 | 248 |
| number | freq |
|---|---|
| 0 | 250 |
| 1 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-sin: 17.0ms (59.5% of total)ival-div: 7.0ms (24.5% of total)ival-mult: 3.0ms (10.5% 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 |
|---|---|---|
| ▶ | 97.8% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 24 | 23 |
| 3 | 34 | 23 |
| 4 | 46 | 23 |
| 5 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.1015625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.1015625 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 1.4132365560715505 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 23.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sin: 6.0ms (51.9% of total)ival-div: 3.0ms (26% of total)ival-mult: 2.0ms (17.3% 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)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 11 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 213 | 11 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| 85.0% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 90.0% | (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) | |
| 82.7% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 48.0% | (/.f64 (*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) y)) z) | |
| 57.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 57.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| ▶ | 95.8% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| 86.8% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| ▶ | 96.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 82.1% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ▶ | 61.3% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 252 to 208 computations (17.5% saved)
| 1× | egg-herbie |
Found 18 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 (/.f64 (sin.f64 y) y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 2 | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 170 |
| 0 | 47 | 168 |
| 1 | 94 | 168 |
| 2 | 243 | 168 |
| 3 | 764 | 168 |
| 4 | 2449 | 168 |
| 5 | 4525 | 168 |
| 6 | 5977 | 168 |
| 0 | 8038 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
x |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal -1/6 binary64) |
(*.f64 y y) |
z |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) |
x |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal -1/6 binary64) |
(*.f64 y y) |
z |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.07650375976844201 | (/.f64 (/.f64 (sin.f64 y) y) z) | |
| accuracy | 0.1015625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.652562129833038 | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) | |
| accuracy | 0.0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 4.6951749324869 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 6.77076635099644 | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.1015625 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 1.4132365560715505 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) | |
| accuracy | 2.820853137695566 | (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) | |
| accuracy | 28.383037449585974 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 24.75984759143228 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.1015625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 1.9719503448687457 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 66.0ms | 256× | 0 | valid |
Compiled 144 to 27 computations (81.3% saved)
ival-mult: 18.0ms (36.5% of total)ival-div: 13.0ms (26.4% of total)const: 7.0ms (14.2% of total)ival-sin: 6.0ms (12.2% of total)ival-add: 3.0ms (6.1% of total)ival-neg: 2.0ms (4.1% 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) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(*.f64 #s(literal 1/120 binary64) y) |
(neg.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1 (/ x (* y z))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(* 1/120 y) |
(/ (sin y) y) |
(sin y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
(/ (sin y) (* y z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | z | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y)) |
| 5.0ms | y | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y)) |
| 4.0ms | x | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y)) |
| 3.0ms | x | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y)) |
| 3.0ms | x | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (* 1/120 y) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 459 |
| 1 | 374 | 449 |
| 2 | 1248 | 429 |
| 3 | 3705 | 423 |
| 4 | 7982 | 423 |
| 0 | 8020 | 387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1 (/ x (* y z))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(* 1/120 y) |
(/ (sin y) y) |
(sin y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
(/ (sin y) (* y z)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) (neg.f64 y)) #s(literal 1 binary64))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 x (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (/.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 y) (/.f64 #s(literal 1 binary64) z)) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 130 |
| 0 | 47 | 128 |
| 1 | 136 | 128 |
| 2 | 723 | 128 |
| 3 | 6362 | 128 |
| 0 | 8225 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(*.f64 #s(literal 1/120 binary64) y) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x y) (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y)) x)) |
(neg.f64 (*.f64 (/.f64 (/.f64 x z) y) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (sin.f64 y) y) |
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(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (PI.f64) y)) |
(sin.f64 (neg.f64 y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 y (PI.f64))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 y (PI.f64)))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 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)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x y) (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y)) x)) |
(neg.f64 (*.f64 (/.f64 (/.f64 x z) y) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 y) z)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (neg.f64 y) z))) |
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (neg.f64 y) z)) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 y) z))) |
(*.f64 #s(literal 1/120 binary64) y) |
(*.f64 y #s(literal 1/120 binary64)) |
(neg.f64 y) |
Compiled 13 764 to 1 682 computations (87.8% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 6 | 456 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 453 | 14 | 467 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.0% | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| 82.7% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 57.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ✓ | 57.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| ▶ | 57.5% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
| ✓ | 95.8% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| ▶ | 87.8% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
| ▶ | 86.8% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ✓ | 96.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 61.1% | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
| 45.7% | (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ✓ | 82.1% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| 54.8% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ✓ | 61.3% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 290 to 235 computations (19% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| cost-diff | 0 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 184 |
| 0 | 49 | 184 |
| 1 | 89 | 184 |
| 2 | 178 | 184 |
| 3 | 376 | 184 |
| 4 | 689 | 184 |
| 5 | 948 | 184 |
| 6 | 1168 | 184 |
| 7 | 1309 | 184 |
| 8 | 1561 | 184 |
| 9 | 2168 | 184 |
| 10 | 3691 | 184 |
| 11 | 6522 | 184 |
| 0 | 8291 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(/.f64 x z) |
x |
z |
(sin.f64 y) |
y |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
(*.f64 y y) |
y |
z |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
y |
(*.f64 z y) |
z |
x |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(/.f64 x z) |
x |
z |
(sin.f64 y) |
y |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
(*.f64 y y) |
y |
z |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(sin.f64 y) |
y |
(*.f64 z y) |
(*.f64 y z) |
z |
x |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.109375 | (/.f64 (sin.f64 y) z) | |
| accuracy | 8.372948485639444 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 2.652562129833038 | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| accuracy | 7.151972978739036 | (/.f64 (sin.f64 y) (*.f64 z y)) | |
| accuracy | 0.38671875 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 1.4132365560715505 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) | |
| accuracy | 28.383037449585974 | #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| accuracy | 29.007554927214127 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.07650375976844201 | (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) | |
| accuracy | 2.652562129833038 | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) | |
| accuracy | 28.179667771300196 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 2.7512207237117137 | (*.f64 (/.f64 x z) (sin.f64 y)) | |
| accuracy | 6.400720462218332 | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| 70.0ms | 256× | 0 | valid |
Compiled 135 to 31 computations (77% saved)
ival-mult: 23.0ms (42.9% of total)ival-div: 13.0ms (24.3% of total)const: 8.0ms (14.9% of total)ival-sin: 6.0ms (11.2% of total)ival-add: 2.0ms (3.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(/.f64 x z) |
(sin.f64 y) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 x y) |
(*.f64 #s(literal -1/6 binary64) x) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) z) |
(/ x z) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(/ x y) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x 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 |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
1 |
(+ 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))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* y z) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(sin y) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(/ (sin y) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x)) |
| 3.0ms | x | @ | inf | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x)) |
| 3.0ms | x | @ | 0 | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x)) |
| 3.0ms | y | @ | -inf | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x)) |
| 3.0ms | z | @ | -inf | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y) (* -1/6 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 574 |
| 1 | 369 | 554 |
| 2 | 1265 | 514 |
| 3 | 3831 | 506 |
| 0 | 8386 | 462 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) z) |
(/ x z) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(/ x y) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x 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 |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
1 |
(+ 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))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* y z) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(sin y) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(/ (sin y) z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(/ x y) |
(/.f64 x y) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) (neg.f64 y)) #s(literal 1 binary64))) |
(+ (* -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 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(*.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) 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 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) z) 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 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (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 (*.f64 #s(literal 1/120 binary64) 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 (/.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 y) (/.f64 #s(literal 1 binary64) z)) |
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 (*.f64 y y) #s(literal 1/120 binary64)) #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 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* y z) |
(*.f64 y z) |
(/ 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)) |
(sin y) |
(sin.f64 y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 161 |
| 0 | 49 | 161 |
| 1 | 134 | 161 |
| 2 | 635 | 161 |
| 3 | 4793 | 161 |
| 0 | 9031 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(/.f64 x z) |
(sin.f64 y) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 x y) |
(*.f64 #s(literal -1/6 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z)) |
(*.f64 (sin.f64 y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(neg.f64 (sin.f64 y)) |
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 y) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 y) #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) y)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(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 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.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 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) y)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) y))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (PI.f64) y)) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 y) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.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 (neg.f64 (+.f64 (PI.f64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(+.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64))) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 x (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) z) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) z)) |
(neg.f64 (/.f64 (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) (neg.f64 z))) |
(neg.f64 (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z))) |
(neg.f64 (*.f64 x (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (neg.f64 z)))) |
(neg.f64 (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (neg.f64 z)) x)) |
(/.f64 (neg.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) |
(neg.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) (neg.f64 z))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x))) (neg.f64 z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
(neg.f64 (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) (neg.f64 z))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(neg.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) x) (fma.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (*.f64 x x)) (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (/.f64 (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) #s(literal 2 binary64))) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
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(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)) |
(/.f64 (sin.f64 y) (neg.f64 z)) |
(/.f64 (sin.f64 y) z) |
(neg.f64 (/.f64 (sin.f64 y) z)) |
(/.f64 (neg.f64 x) y) |
(/.f64 x y) |
(neg.f64 (/.f64 x y)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
Compiled 9 730 to 983 computations (89.9% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 3 | 311 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 308 | 17 | 325 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.0% | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| ▶ | 82.7% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 57.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 50.7% | (/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
| ▶ | 57.6% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
| ✓ | 57.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| ✓ | 57.5% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
| ✓ | 95.8% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| ✓ | 87.8% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
| ✓ | 86.8% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ✓ | 96.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ✓ | 61.1% | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
| 45.7% | (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ✓ | 82.1% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ▶ | 54.2% | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
| ▶ | 54.8% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 61.3% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 335 to 262 computations (21.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) | |
| cost-diff | 0 | (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x 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 | (*.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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 225 |
| 0 | 57 | 225 |
| 1 | 108 | 225 |
| 2 | 201 | 225 |
| 3 | 398 | 225 |
| 4 | 768 | 225 |
| 5 | 1161 | 225 |
| 6 | 1535 | 225 |
| 7 | 1935 | 225 |
| 8 | 2487 | 225 |
| 9 | 3705 | 225 |
| 10 | 6509 | 225 |
| 0 | 8108 | 220 |
| 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 |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
z |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(/.f64 x y) |
x |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
y |
z |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)) (neg.f64 x)) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
z |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(/.f64 x y) |
x |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
y |
z |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) |
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) |
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 y z) x) |
(*.f64 (/.f64 x z) y) |
(/.f64 y z) |
y |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 3.3202154022142394 | (*.f64 (/.f64 y z) x) | |
| accuracy | 6.400720462218332 | (/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) | |
| accuracy | 25.878387121737546 | #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) | |
| accuracy | 0.38671875 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 1.4132365560715505 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) | |
| accuracy | 28.383037449585974 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) | |
| accuracy | 29.007554927214127 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 8.372948485639444 | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) | |
| accuracy | 28.268179034587146 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 4.6951749324869 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 6.77076635099644 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 28.344150139833456 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.11328125 | (*.f64 (sin.f64 y) x) | |
| accuracy | 10.940652810465664 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 83.0ms | 256× | 0 | valid |
Compiled 152 to 35 computations (77% saved)
ival-mult: 27.0ms (40.7% of total)ival-div: 14.0ms (21.1% of total)ival-neg: 10.0ms (15.1% of total)ival-sin: 6.0ms (9% of total)const: 6.0ms (9% of total)ival-add: 2.0ms (3% 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) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 x y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* -1 (/ x (* y z))) |
(/ x y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(/ (* x (sin y)) z) |
(/ (* x y) z) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(* 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)) |
(/ 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)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(* 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))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) z) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | 0 | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x)) |
| 7.0ms | z | @ | 0 | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x)) |
| 5.0ms | x | @ | -inf | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x)) |
| 4.0ms | x | @ | inf | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x)) |
| 4.0ms | y | @ | -inf | ((/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ y z) (/ x y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (* (/ y z) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 648 |
| 1 | 492 | 622 |
| 2 | 1692 | 586 |
| 3 | 5116 | 580 |
| 0 | 8304 | 536 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* -1 (/ x (* y z))) |
(/ x y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(/ (* x (sin y)) z) |
(/ (* x y) z) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(* 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)) |
(/ 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)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(* 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))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) z) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) |
(/ (* x (sin y)) z) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/ 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 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (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 x y) y) #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 x y) y) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (*.f64 y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y) |
(* 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)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64)) y)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(/ 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)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (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 x y) y) #s(literal -1/6 binary64) x)) |
(* -1/6 (* x y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(*.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y) 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 x y) y) #s(literal -1/6 binary64) x)) z) y) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(sin y) |
(sin.f64 y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 x y) y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) y) y (*.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 202 |
| 0 | 57 | 202 |
| 1 | 151 | 202 |
| 2 | 674 | 202 |
| 3 | 4782 | 202 |
| 0 | 8916 | 197 |
| 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) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
(/.f64 x y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 y z) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 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 (neg.f64 x) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
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(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
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(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x))) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (neg.f64 y) (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y)) x) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x y)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x y)) (*.f64 x x)))) |
(fma.f64 y (/.f64 (*.f64 (pow.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) #s(literal 2 binary64)) y) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x))) |
(fma.f64 y (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x y)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x y)) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x y)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 x y)) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x))) |
(+.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x) |
(+.f64 x (*.f64 (neg.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (neg.f64 y))) y)) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))) (*.f64 y y))) |
(+.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
(*.f64 y #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (neg.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) |
(neg.f64 (/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) (neg.f64 y))) |
#s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) |
(neg.f64 (neg.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)))) |
(*.f64 (/.f64 x z) y) |
(*.f64 (/.f64 y z) x) |
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(*.f64 x (/.f64 y z)) |
(*.f64 y (/.f64 x z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) z) |
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (*.f64 x y) z) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) z)) |
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z))) |
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z))) |
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) z))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) x)) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
Compiled 10 135 to 1 021 computations (89.9% saved)
23 alts after pruning (8 fresh and 15 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 276 | 6 | 282 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 10 | 10 |
| Total | 276 | 23 | 299 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.0% | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| ✓ | 82.7% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 57.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| 49.3% | (/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) | |
| ✓ | 50.7% | (/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
| 51.5% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) | |
| ✓ | 57.6% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
| ✓ | 57.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| ✓ | 57.5% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
| ✓ | 95.8% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| ✓ | 87.8% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
| ✓ | 86.8% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ✓ | 96.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ✓ | 61.1% | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
| 45.7% | (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ✓ | 82.1% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| 57.5% | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) | |
| ✓ | 54.2% | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
| 57.2% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) | |
| 55.5% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) | |
| ✓ | 54.8% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| 54.7% | (*.f64 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) | |
| ✓ | 61.3% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 653 to 351 computations (46.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) y)) z) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 7.0ms | z |
| 7.0ms | x |
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 7.0ms | y |
| 7.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | (/.f64 (sin.f64 y) y) |
| 97.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 97.8% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 99.8% | 2 | x |
| 97.8% | 1 | y |
| 99.8% | 2 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
2 calls:
| 6.0ms | z |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | z |
| 96.9% | 1 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| Outputs |
|---|
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
5 calls:
| 17.0ms | z |
| 5.0ms | y |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | (/.f64 (sin.f64 y) y) |
| 98.8% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 98.8% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
Compiled 20 to 24 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
6 calls:
| 15.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | (/.f64 (sin.f64 y) y) |
| 87.8% | 1 | x |
| 95.4% | 2 | y |
| 90.3% | 2 | z |
| 87.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 90.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
2 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | (/.f64 (sin.f64 y) y) |
| 95.4% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
6 calls:
| 33.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 65.5% | 2 | x |
| 65.1% | 2 | z |
| 68.4% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 68.7% | 2 | (/.f64 (sin.f64 y) y) |
| 68.7% | 2 | y |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
2 calls:
| 4.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 2 | (/.f64 (sin.f64 y) y) |
| 68.5% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 y z) x)) y) |
(/.f64 #s(approx (* (/ x z) (sin y)) (/.f64 (*.f64 x y) z)) y) |
| Outputs |
|---|
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.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 x (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
4 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 68.1% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 68.1% | 2 | (/.f64 (sin.f64 y) y) |
| 68.1% | 2 | y |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 32.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 1 | z |
| 61.3% | 1 | x |
| 63.2% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.2% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 64.2% | 2 | (/.f64 (sin.f64 y) y) |
| 64.2% | 2 | y |
Compiled 21 to 27 computations (-28.6% saved)
Total -0.1b remaining (-0.4%)
Threshold costs -0.1b (-0.4%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) z) x) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
4 calls:
| 1.0ms | y |
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 61.3% | 1 | y |
| 61.3% | 1 | (/.f64 (sin.f64 y) y) |
| 61.3% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 19 to 21 computations (-10.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 3525.9801813511995 | 187307280110.05408 |
| 36.0ms | 144× | 0 | valid |
Compiled 155 to 157 computations (-1.3% saved)
ival-div: 28.0ms (86.3% of total)ival-sin: 3.0ms (9.2% of total)ival-mult: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.0496443867293714e-80 | 7.184832175743132e-79 |
| 7.0ms | 112× | 0 | valid |
Compiled 123 to 125 computations (-1.6% saved)
ival-sin: 2.0ms (42.6% of total)ival-div: 1.0ms (21.3% of total)ival-mult: 1.0ms (21.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -8.654200141761426e+74 | -7.77003258744493e+60 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 8.349182982340662e-12 | 7.587403079993693e-10 |
| 6.0ms | 112× | 0 | valid |
Compiled 151 to 139 computations (7.9% saved)
ival-div: 1.0ms (27.6% of total)ival-mult: 1.0ms (27.6% of total)ival-sin: 1.0ms (27.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.349182982340662e-12 | 7.587403079993693e-10 |
Compiled 151 to 139 computations (7.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 146352.08253266703 | 12841199.019778509 |
| 9.0ms | 112× | 0 | valid |
Compiled 207 to 188 computations (9.2% saved)
ival-sin: 4.0ms (64.4% of total)ival-div: 1.0ms (16.1% of total)ival-mult: 1.0ms (16.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 146352.08253266703 | 12841199.019778509 |
Compiled 207 to 181 computations (12.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 146352.08253266703 | 12841199.019778509 |
Compiled 291 to 230 computations (21% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 3.6014729815422924e+85 | 6.101377571244998e+92 |
| 4.0ms | 48× | 0 | valid |
Compiled 86 to 76 computations (11.6% saved)
ival-sin: 2.0ms (75.3% of total)ival-div: 1.0ms (37.6% 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 | 1.04e-322 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 301 |
| 1 | 121 | 301 |
| 2 | 191 | 299 |
| 3 | 349 | 299 |
| 4 | 668 | 299 |
| 5 | 1039 | 299 |
| 6 | 1518 | 299 |
| 7 | 2425 | 299 |
| 8 | 4134 | 299 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 12000000000 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 z #s(literal 8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 y #s(literal 7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 y #s(literal 7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))) |
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 y #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 12000000000 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 z #s(literal 8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 y #s(literal 7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 y #s(literal 7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z))) |
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 y #s(literal 150000 binary64)) (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 y #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 648 |
| 1 | 492 | 622 |
| 2 | 1692 | 586 |
| 3 | 5116 | 580 |
| 0 | 8304 | 536 |
| 0 | 38 | 202 |
| 0 | 57 | 202 |
| 1 | 151 | 202 |
| 2 | 674 | 202 |
| 3 | 4782 | 202 |
| 0 | 8916 | 197 |
| 0 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 0 | 121 | 459 |
| 1 | 374 | 449 |
| 2 | 1248 | 429 |
| 3 | 3705 | 423 |
| 4 | 7982 | 423 |
| 0 | 8020 | 387 |
| 0 | 28 | 130 |
| 0 | 47 | 128 |
| 1 | 136 | 128 |
| 2 | 723 | 128 |
| 3 | 6362 | 128 |
| 0 | 8225 | 128 |
| 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 |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 299 to 80 computations (73.2% saved)
(negabs z)
(abs y)
Compiled 846 to 304 computations (64.1% saved)
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