
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)
| 832.0ms | 8 256× | 0 | valid |
ival-sin: 342.0ms (57% of total)ival-div: 153.0ms (25.5% of total)ival-mult: 93.0ms (15.5% of total)ival-true: 6.0ms (1% of total)adjust: 3.0ms (0.5% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 13 | 0 | - | 3 | (-4.718846475552936e-245 5.458966172970353e+66 1.7478333264716744e-288) | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) | u/n | 10 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 10 | 3 |
| - | 0 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 10 | 0 | 3 |
| - | 0 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 81.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-mult: 47.0ms (70.8% of total)ival-sin: 11.0ms (16.6% of total)ival-div: 7.0ms (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 |
|---|---|---|
| ▶ | 96.1% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 24 | 23 |
| 3 | 34 | 23 |
| 4 | 46 | 23 |
| 5 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.109375 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.4403555241614687 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 18.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sin: 6.0ms (56.5% of total)ival-div: 3.0ms (28.3% of total)ival-mult: 2.0ms (18.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) z) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) z))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z))) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) z)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) z)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 x z)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 x z)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z)) y) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 x)) (*.f64 z y)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 x)) (*.f64 z y))) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 z y)) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 z y))) |
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(sin.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (PI.f64) (neg.f64 y))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 y) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(cos.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64))))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
Compiled 4 287 to 984 computations (77% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 9 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 215 | 9 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| 87.2% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| ▶ | 84.9% | (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
| ▶ | 86.3% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
| ▶ | 82.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 47.6% | (/.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) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 92.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 82.6% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ▶ | 60.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 192 to 164 computations (14.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) | |
| cost-diff | 2 | (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| cost-diff | 0 | (/.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 | 22 | 109 |
| 0 | 36 | 107 |
| 1 | 72 | 107 |
| 2 | 118 | 107 |
| 3 | 230 | 107 |
| 4 | 430 | 107 |
| 5 | 652 | 107 |
| 6 | 1154 | 107 |
| 7 | 2459 | 107 |
| 8 | 5003 | 107 |
| 9 | 7125 | 107 |
| 0 | 8265 | 107 |
| 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 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
z |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) |
(/.f64 x z) |
x |
z |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/.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 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
z |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) |
(/.f64 x z) |
x |
z |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(neg.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 3.4720620108082434 | (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) | |
| accuracy | 9.667248590756195 | (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 2.4403555241614687 | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| accuracy | 9.369055347486892 | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.1015625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 10.840540230604262 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 25.20193114546244 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 4.536986999876074 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 47.0ms | 256× | 0 | valid |
Compiled 107 to 21 computations (80.4% saved)
ival-mult: 13.0ms (40% of total)ival-div: 10.0ms (30.8% of total)ival-sin: 7.0ms (21.5% of total)ival-neg: 2.0ms (6.2% 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 (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 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 z y) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) |
(neg.f64 (sin.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(* x (sin y)) |
(/ (* x (sin y)) y) |
(/ x y) |
(* -1 (/ (* x (sin y)) z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
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 y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* y z) |
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 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(* -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)) |
(/ (sin y) y) |
(sin y) |
(* -1 (sin y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | z | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (neg (sin y)) (neg y)) |
| 3.0ms | x | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (neg (sin y)) (neg y)) |
| 2.0ms | x | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (neg (sin y)) (neg y)) |
| 2.0ms | y | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (neg (sin y)) (neg y)) |
| 2.0ms | x | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (neg (sin y)) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 441 |
| 1 | 380 | 429 |
| 2 | 1412 | 397 |
| 3 | 4378 | 392 |
| 0 | 8174 | 359 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(* x (sin y)) |
(/ (* x (sin y)) y) |
(/ x y) |
(* -1 (/ (* x (sin y)) z)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
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 y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* y z) |
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 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(* -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)) |
(/ (sin y) y) |
(sin y) |
(* -1 (sin y)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (* x (sin y)) z)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) 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 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) z) |
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) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x y)) |
(* y z) |
(*.f64 z y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(*.f64 (neg.f64 y) (/.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)) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))))) z) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 83 |
| 0 | 36 | 81 |
| 1 | 86 | 81 |
| 2 | 264 | 81 |
| 3 | 1063 | 81 |
| 0 | 8813 | 81 |
| 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 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 z y) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) |
(neg.f64 (sin.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) z) y) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) z) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) z) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (neg.f64 x) z) y)) (sin.f64 y)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 (neg.f64 x) z) y)) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 x) z) y)) (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (/.f64 (/.f64 (neg.f64 x) z) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) y) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) y) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) z) y) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 y (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (*.f64 y (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 x z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 x z) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) z)) (*.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x z)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) z)) (*.f64 (neg.f64 (sin.f64 y)) y)) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x y)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 z))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x z)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) z)) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x y)) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 y))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (/.f64 (neg.f64 x) z)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)) |
(/.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (/.f64 x y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (/.f64 x z)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 z) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) y))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (neg.f64 x)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 z y))) |
(/.f64 (*.f64 (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) y))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 z y) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 z y) (neg.f64 (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 z y) (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (*.f64 (*.f64 z y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 z) y) (sin.f64 y))) |
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(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))) |
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) y)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64))) |
(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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))) |
(sin.f64 (-.f64 y (PI.f64))) |
(sin.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(sin.f64 (+.f64 (PI.f64) y)) |
(sin.f64 (neg.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (sin.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(-.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 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (PI.f64) #s(literal -2 binary64))) (neg.f64 (sin.f64 y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (/.f64 (PI.f64) #s(literal -2 binary64))))) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(-.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (+.f64 (neg.f64 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 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.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 (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) y) (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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(+.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64))) |
(+.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 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) #s(literal 0 binary64)) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 0 binary64)) |
(+.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 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(+.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64))) |
(+.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(+.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(neg.f64 y) |
Compiled 20 658 to 2 744 computations (86.7% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 272 | 7 | 1 279 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 272 | 16 | 1 288 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.2% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| ✓ | 84.9% | (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
| 46.6% | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) (neg.f64 y)) | |
| ▶ | 52.6% | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
| ✓ | 86.3% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
| ✓ | 82.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 47.6% | (/.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) | |
| ▶ | 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| 47.3% | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 y)) | |
| ▶ | 47.7% | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
| 40.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) | |
| ▶ | 50.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
| ✓ | 92.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 82.6% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| 55.7% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) | |
| ✓ | 60.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 384 to 305 computations (20.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) | |
| cost-diff | 1 | (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) | |
| cost-diff | 0 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 226 |
| 0 | 60 | 226 |
| 1 | 119 | 226 |
| 2 | 283 | 226 |
| 3 | 724 | 226 |
| 4 | 2165 | 223 |
| 5 | 5154 | 223 |
| 6 | 7807 | 223 |
| 0 | 8009 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 z y) |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 x z) |
x |
z |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 x z) |
x |
z |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal -1 binary64) |
(neg.f64 y) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 z y) |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) (neg.f64 z))) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
#s(approx (* (/ x z) (neg (sin y))) (/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) (neg.f64 z))) |
(*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) (neg.f64 z)) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x) |
(/.f64 x z) |
x |
z |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
y |
#s(literal -1 binary64) |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.4369057608082434 | (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) | |
| accuracy | 5.279601417442302 | (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) | |
| accuracy | 9.667248590756195 | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) | |
| accuracy | 26.57955543407613 | #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 3.4720620108082434 | (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) | |
| accuracy | 9.667248590756195 | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) | |
| accuracy | 30.069951430397047 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.109375 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.28303954290646327 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 2.4403555241614687 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| accuracy | 30.34364541696413 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 10.840540230604262 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) | |
| accuracy | 29.957752852285545 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 0.1015625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 2.4403555241614687 | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| accuracy | 7.839629376952237 | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 91.0ms | 256× | 0 | valid |
Compiled 168 to 32 computations (81% saved)
ival-div: 30.0ms (46.9% of total)ival-mult: 16.0ms (25% of total)const: 7.0ms (11% of total)ival-sin: 6.0ms (9.4% of total)ival-add: 2.0ms (3.1% of total)ival-neg: 2.0ms (3.1% 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 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 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 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 x z) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(neg.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x y) |
(* -1 (/ (* x (sin y)) z)) |
(/ x z) |
(/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z) |
(/ (* x (- (* 1/6 (pow y 2)) 1)) z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* y (+ 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 |
(+ 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))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(sin y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1 (sin y)) |
(* 1/6 (/ (* x (pow y 3)) z)) |
(* (pow y 3) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* 1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ x z) (neg (sin y)) (* (* (/ x z) (+ (* (* 1/6 y) y) -1)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* (/ x z) (+ (* (* 1/6 y) y) -1)) (neg y)) |
| 4.0ms | x | @ | 0 | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ x z) (neg (sin y)) (* (* (/ x z) (+ (* (* 1/6 y) y) -1)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* (/ x z) (+ (* (* 1/6 y) y) -1)) (neg y)) |
| 4.0ms | x | @ | -inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ x z) (neg (sin y)) (* (* (/ x z) (+ (* (* 1/6 y) y) -1)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* (/ x z) (+ (* (* 1/6 y) y) -1)) (neg y)) |
| 3.0ms | y | @ | -inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ x z) (neg (sin y)) (* (* (/ x z) (+ (* (* 1/6 y) y) -1)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* (/ x z) (+ (* (* 1/6 y) y) -1)) (neg y)) |
| 3.0ms | x | @ | inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ x z) (neg (sin y)) (* (* (/ x z) (+ (* (* 1/6 y) y) -1)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* (/ x z) (+ (* (* 1/6 y) y) -1)) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 562 |
| 1 | 449 | 546 |
| 2 | 1698 | 510 |
| 3 | 5443 | 506 |
| 0 | 8152 | 469 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x y) |
(* -1 (/ (* x (sin y)) z)) |
(/ x z) |
(/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z) |
(/ (* x (- (* 1/6 (pow y 2)) 1)) z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* y (+ 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 |
(+ 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))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(sin y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1 (sin y)) |
(* 1/6 (/ (* x (pow y 3)) z)) |
(* (pow y 3) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* 1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
| 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 (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x y) |
(*.f64 x y) |
(* -1 (/ (* x (sin y)) z)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) |
(/ x z) |
(/.f64 x z) |
(/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z) |
(*.f64 (/.f64 x z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y))) |
(/ (* x (- (* 1/6 (pow y 2)) 1)) z) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) z) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(* y z) |
(*.f64 z y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(*.f64 (/.f64 x z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(*.f64 (neg.f64 y) (/.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)) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))))) z) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #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 (*.f64 y y) #s(literal 1/6 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 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* -1/6 (pow y 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/6 binary64)) (*.f64 y y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* 1/6 (/ (* x (pow y 3)) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) z) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z)) |
(* 1/6 (/ (* x (pow y 2)) z)) |
(*.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 190 |
| 0 | 60 | 190 |
| 1 | 164 | 190 |
| 2 | 820 | 190 |
| 3 | 6521 | 190 |
| 0 | 8182 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 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 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 x z) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 x y) (neg.f64 z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.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) z) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(neg.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) (neg.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) z))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 x z))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 x y) z))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 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))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 x) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (neg.f64 x) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 x)) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (neg.f64 x) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(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 (cos.f64 y) #s(literal 0 binary64))) |
(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))))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) y))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 y) |
(-.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 (cos.f64 y)) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.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 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (*.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 (cos.f64 y) #s(literal 0 binary64))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(/.f64 (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)) (neg.f64 z)) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) (*.f64 (neg.f64 z) y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 (neg.f64 z) y))) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(neg.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y)))) |
(*.f64 x y) |
(*.f64 y x) |
(neg.f64 (*.f64 x (neg.f64 y))) |
(neg.f64 (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 z y) |
(*.f64 y z) |
(neg.f64 (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 x (/.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 z)) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(neg.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 (neg.f64 x) z))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) x) |
(*.f64 (neg.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 x (neg.f64 (neg.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (neg.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1/46656 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/1296 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) #s(literal -1 binary64)))) |
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(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (*.f64 (neg.f64 z) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (*.f64 z (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (*.f64 z (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (*.f64 z (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 x (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 y y)))) (pow.f64 (neg.f64 z) #s(literal 2 binary64))) |
(/.f64 (fma.f64 x z (*.f64 (neg.f64 z) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x))) (*.f64 (neg.f64 z) z)) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 z) (*.f64 z (*.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 y y)))) (*.f64 z (neg.f64 z))) |
(/.f64 (fma.f64 (neg.f64 x) z (*.f64 z (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x))) (*.f64 z z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 y y)) (neg.f64 z) (*.f64 (neg.f64 z) x)) (pow.f64 (neg.f64 z) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 y y)) z (*.f64 (neg.f64 z) (neg.f64 x))) (*.f64 (neg.f64 z) z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) (neg.f64 z) (*.f64 z x)) (*.f64 z (neg.f64 z))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) z (*.f64 z (neg.f64 x))) (*.f64 z z)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 x z)) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 x z)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) y) (*.f64 (/.f64 (neg.f64 x) z) y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (-.f64 (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64)))))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) (neg.f64 z)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) z) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) x) z)) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) (neg.f64 z))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64) (/.f64 (neg.f64 x) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) (neg.f64 y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) |
(fma.f64 (*.f64 y (*.f64 (/.f64 x z) y)) #s(literal 1/6 binary64) (/.f64 (neg.f64 x) z)) |
(fma.f64 (*.f64 (/.f64 x z) y) (*.f64 #s(literal 1/6 binary64) y) (/.f64 (neg.f64 x) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) y) y (/.f64 (neg.f64 x) z)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) (*.f64 y y) (/.f64 (neg.f64 x) z)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 x z) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 x z))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 (neg.f64 y) (/.f64 x z)) (/.f64 (neg.f64 x) z)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (neg.f64 z)) (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) (neg.f64 z)) (/.f64 (neg.f64 x) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) (/.f64 x z) (/.f64 (neg.f64 x) z)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (/.f64 x z) y) (/.f64 (neg.f64 x) z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (/.f64 x z) y)) (/.f64 (neg.f64 x) z)) |
(fma.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 x z) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) (/.f64 (neg.f64 x) z)) |
(fma.f64 (/.f64 x z) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) (/.f64 (neg.f64 x) z)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (/.f64 (neg.f64 x) z)) |
(fma.f64 x (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64))) |
(fma.f64 y (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) y) (/.f64 (neg.f64 x) z)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (neg.f64 x) z) (*.f64 (/.f64 (neg.f64 x) z) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) |
(-.f64 (/.f64 (neg.f64 x) z) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) y)) y)) |
(-.f64 (/.f64 (neg.f64 x) z) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z))) (*.f64 y y))) |
(-.f64 (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (/.f64 (neg.f64 x) z) y) (*.f64 #s(literal 1/6 binary64) y))) |
(-.f64 (/.f64 (neg.f64 x) z) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 x z))) |
(-.f64 (/.f64 (neg.f64 x) z) (*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 (/.f64 x z) y))) |
(-.f64 (/.f64 (neg.f64 x) z) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 (/.f64 x z) y)))) |
(-.f64 (/.f64 (neg.f64 x) z) (*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) y))) |
(-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64)) (/.f64 x z)) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 x z)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 x z))) |
(+.f64 (*.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) (*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (-.f64 (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (-.f64 (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64))))))) |
(+.f64 (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 x z) y) y) #s(literal 1/6 binary64)) (/.f64 (neg.f64 x) z)) |
(neg.f64 y) |
Compiled 12 591 to 2 075 computations (83.5% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 490 | 14 | 504 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 497 | 23 | 520 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.2% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 47.5% | (/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) | |
| 47.3% | (/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) x) (neg.f64 y)) | |
| 84.9% | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) | |
| ✓ | 52.6% | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
| ✓ | 86.3% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
| ✓ | 82.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 47.6% | (/.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) | |
| 53.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))))) z) | |
| 10.5% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) | |
| 47.7% | (/.f64 (neg.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) y) | |
| 42.4% | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) y)) (neg.f64 y)) | |
| ▶ | 41.3% | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
| ▶ | 32.4% | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
| 40.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) | |
| ✓ | 50.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
| 55.7% | (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 82.6% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| 54.7% | (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) | |
| ▶ | 85.6% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
| ▶ | 56.0% | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
| ▶ | 51.9% | (*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
| ✓ | 60.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 677 to 511 computations (24.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) | |
| cost-diff | 2 | (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y) | |
| cost-diff | 3 | (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) | |
| cost-diff | 1 | (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) | |
| cost-diff | 0 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (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 z y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 2 | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 383 |
| 0 | 74 | 383 |
| 1 | 152 | 383 |
| 2 | 374 | 381 |
| 3 | 1065 | 381 |
| 4 | 3061 | 351 |
| 5 | 6610 | 351 |
| 0 | 8161 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
(neg.f64 x) |
x |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
(sin.f64 y) |
y |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(neg.f64 x) |
x |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 z y) |
z |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
x |
(/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y)) |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) |
(*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) |
(*.f64 x y) |
x |
y |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
z |
(neg.f64 y) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) |
(*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y) |
#s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) |
(fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) |
#s(literal -1/6 binary64) |
x |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
y |
z |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(neg.f64 x) |
x |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) |
(sin.f64 y) |
y |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 y)) (/.f64 x z)) |
(neg.f64 x) |
x |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 z y) |
z |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 y)) (/.f64 x z)) |
x |
(/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y)) |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 (neg.f64 z) y)) |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 (neg.f64 x) z))) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 (neg.f64 x) z))) |
(*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 (neg.f64 x) z)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
#s(literal 1/6 binary64) |
#s(literal -1 binary64) |
z |
(neg.f64 y) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x)) y)) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x)) y)) |
(*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y) |
(*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x)) y) |
#s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) |
#s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x)) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) |
(*.f64 (/.f64 x z) (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) |
(fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) |
#s(literal -1/6 binary64) |
x |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
y |
z |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.063971858934819 | (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y) | |
| accuracy | 9.667248590756195 | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) | |
| accuracy | 10.374418768446434 | (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) | |
| accuracy | 26.57955543407613 | #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) | |
| accuracy | 4.575626375149381 | (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) | |
| accuracy | 4.698423313254156 | (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) | |
| accuracy | 9.667248590756195 | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) | |
| accuracy | 26.57955543407613 | #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) | |
| accuracy | 0.0859375 | (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) | |
| accuracy | 1.4329440054223828 | (*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) | |
| accuracy | 7.657253078374599 | (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y)) | |
| accuracy | 30.069951430397047 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 1.4329440054223828 | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) | |
| accuracy | 10.843091907451845 | (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)) | |
| accuracy | 30.069951430397047 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (sin.f64 y) | |
| accuracy | 1.4329440054223828 | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) | |
| accuracy | 10.843091907451845 | (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
| 113.0ms | 256× | 0 | valid |
Compiled 257 to 40 computations (84.4% saved)
ival-mult: 53.0ms (58.2% of total)ival-div: 15.0ms (16.5% of total)ival-neg: 8.0ms (8.8% of total)const: 7.0ms (7.7% of total)ival-sin: 6.0ms (6.6% of total)ival-add: 2.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
(neg.f64 x) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
(sin.f64 y) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y)) |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) |
(*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) |
(*.f64 x y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z) |
(* -1 (/ (* x (sin y)) z)) |
(* x y) |
(* -1 (/ (* x (* y (- (/ 1 (pow y 2)) 1/6))) z)) |
(* -1 (/ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))) z)) |
(/ (* x (* y (- 1/6 (/ 1 (pow y 2))))) z) |
(/ (* x (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))) z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(* -1 (/ y z)) |
(* y (- (* 1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(* -1 (/ x (* y z))) |
(/ (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) y) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(* -1 (/ (sin y) (* y z))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) (* y z)) |
(* -1 (/ (sin y) z)) |
(* 1/6 (/ (* x (pow y 3)) z)) |
(* (pow y 3) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* 1/6 (/ (* x y) z)) |
(* y (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* 1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* 1/6 (/ (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
(* -1 (* y (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
(* -1 (/ (* y (+ (* -1/6 x) (/ x (pow y 2)))) z)) |
(* -1 (/ (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) z)) |
(/ (- (* 1/6 (pow y 2)) 1) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | inf | ((* (neg x) (/ (sin y) (* (neg z) y))) (neg x) (/ (sin y) (* (neg z) y)) (sin y) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (* x (/ (/ (neg (sin y)) z) (neg y))) (/ (/ (neg (sin y)) z) (neg y)) (/ (neg (sin y)) z) (* (* x y) (/ (+ (* (* 1/6 y) y) -1) z)) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* x y) (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ (+ (* (* 1/6 y) y) -1) z)) |
| 7.0ms | z | @ | inf | ((* (neg x) (/ (sin y) (* (neg z) y))) (neg x) (/ (sin y) (* (neg z) y)) (sin y) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (* x (/ (/ (neg (sin y)) z) (neg y))) (/ (/ (neg (sin y)) z) (neg y)) (/ (neg (sin y)) z) (* (* x y) (/ (+ (* (* 1/6 y) y) -1) z)) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* x y) (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ (+ (* (* 1/6 y) y) -1) z)) |
| 6.0ms | y | @ | 0 | ((* (neg x) (/ (sin y) (* (neg z) y))) (neg x) (/ (sin y) (* (neg z) y)) (sin y) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (* x (/ (/ (neg (sin y)) z) (neg y))) (/ (/ (neg (sin y)) z) (neg y)) (/ (neg (sin y)) z) (* (* x y) (/ (+ (* (* 1/6 y) y) -1) z)) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* x y) (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ (+ (* (* 1/6 y) y) -1) z)) |
| 5.0ms | x | @ | -inf | ((* (neg x) (/ (sin y) (* (neg z) y))) (neg x) (/ (sin y) (* (neg z) y)) (sin y) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (* x (/ (/ (neg (sin y)) z) (neg y))) (/ (/ (neg (sin y)) z) (neg y)) (/ (neg (sin y)) z) (* (* x y) (/ (+ (* (* 1/6 y) y) -1) z)) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* x y) (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ (+ (* (* 1/6 y) y) -1) z)) |
| 5.0ms | x | @ | 0 | ((* (neg x) (/ (sin y) (* (neg z) y))) (neg x) (/ (sin y) (* (neg z) y)) (sin y) (* (neg x) (/ (neg (sin y)) (* z y))) (/ (neg (sin y)) (* z y)) (neg (sin y)) (* x (/ (/ (neg (sin y)) z) (neg y))) (/ (/ (neg (sin y)) z) (neg y)) (/ (neg (sin y)) z) (* (* x y) (/ (+ (* (* 1/6 y) y) -1) z)) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (* x y) (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (/ (* (/ x z) (neg (sin y))) (neg y)) (* (/ x z) (neg (sin y))) (/ (+ (* (* 1/6 y) y) -1) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 762 |
| 1 | 588 | 732 |
| 2 | 2070 | 677 |
| 3 | 6251 | 675 |
| 0 | 8175 | 644 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z) |
(* -1 (/ (* x (sin y)) z)) |
(* x y) |
(* -1 (/ (* x (* y (- (/ 1 (pow y 2)) 1/6))) z)) |
(* -1 (/ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))) z)) |
(/ (* x (* y (- 1/6 (/ 1 (pow y 2))))) z) |
(/ (* x (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))) z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(* -1 (/ y z)) |
(* y (- (* 1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(* -1 (/ x (* y z))) |
(/ (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) y) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(* -1 (/ (sin y) (* y z))) |
(sin y) |
(* -1 (sin y)) |
(/ (sin y) (* y z)) |
(* -1 (/ (sin y) z)) |
(* 1/6 (/ (* x (pow y 3)) z)) |
(* (pow y 3) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* 1/6 (/ (* x y) z)) |
(* y (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* 1/6 (/ (* x (pow y 2)) z)) |
(* (pow y 2) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(* 1/6 (/ (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
(* -1 (* y (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
(* -1 (/ (* y (+ (* -1/6 x) (/ x (pow y 2)))) z)) |
(* -1 (/ (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) z)) |
(/ (- (* 1/6 (pow y 2)) 1) z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) x) z) |
(* -1 (/ (* x (sin y)) z)) |
(*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) |
(* x y) |
(*.f64 y x) |
(* -1 (/ (* x (* y (- (/ 1 (pow y 2)) 1/6))) z)) |
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (/.f64 (neg.f64 y) z)) |
(* -1 (/ (* x (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))) z)) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z)) |
(/ (* x (* y (- 1/6 (/ 1 (pow y 2))))) z) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) x) z) |
(/ (* x (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))) z) |
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) x) z) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(fma.f64 (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) y (/.f64 x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) z) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #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)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64)) z) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #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 (*.f64 y y) #s(literal 1/6 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 (*.f64 y y) #s(literal 1/6 binary64)) #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)) |
(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 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z)) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (* 1/6 (/ (pow y 2) z)) (/ 1 z))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) z) |
(* y (- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z) y) |
(* y (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64)) z) (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z)) y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) y) |
(* y (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z)))) |
(*.f64 (/.f64 x z) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y))) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ (* x (pow y 2)) z)) (* 1/6 (/ x z)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 x z) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (neg.f64 x) z) y)) |
(* y (+ (* -1 (/ x z)) (* (pow y 2) (+ (* 1/6 (/ x z)) (* (pow y 2) (+ (* -1/120 (/ x z)) (* 1/5040 (/ (* x (pow y 2)) z)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) z) (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/ (+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) y) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(+ (* -1 (/ x z)) (* 1/6 (/ (* x (pow y 2)) z))) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) |
(sin y) |
(sin.f64 y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(* -1 (/ (sin y) z)) |
(/.f64 (neg.f64 (sin.f64 y)) z) |
(* 1/6 (/ (* x (pow y 3)) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) z) #s(literal 1/6 binary64)) |
(* (pow y 3) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) z)) |
(* 1/6 (/ (* x y) z)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x z)) y) |
(* y (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) (/.f64 (neg.f64 y) z)) |
(* 1/6 (/ (* x (pow y 2)) z)) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) y) z) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* -1 (/ x (* (pow y 2) z))) (* 1/6 (/ x z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) y) (/.f64 (neg.f64 y) z)) |
(* 1/6 (/ (pow y 2) z)) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) |
(* (pow y 2) (- (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y) z) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) z)) |
(* -1 (* y (+ (* -1/6 (/ x z)) (/ x (* (pow y 2) z))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) (/.f64 (neg.f64 y) z)) |
(* -1 (/ (* y (+ (* -1/6 x) (/ x (pow y 2)))) z)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) (/.f64 (neg.f64 y) z)) |
(* -1 (/ (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) z)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (*.f64 y y))) y) (/.f64 (neg.f64 y) z)) |
(/ (- (* 1/6 (pow y 2)) 1) z) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 251 |
| 0 | 74 | 251 |
| 1 | 199 | 249 |
| 2 | 1039 | 249 |
| 0 | 8507 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
(neg.f64 x) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
(sin.f64 y) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y)) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y)) |
(/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) |
(*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) |
(*.f64 x y) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
#s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
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(-.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 1/6 binary64) y) z))) |
(-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z z))))) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 z z)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (*.f64 z z)) (/.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) z)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) z))) |
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) z)) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y))) z))) |
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)))) z) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) y) y)))) z)) |
(+.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z)) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) y) z) (/.f64 #s(literal -1 binary64) z)) |
Compiled 11 501 to 1 753 computations (84.8% saved)
24 alts after pruning (15 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 4 | 378 |
| Fresh | 1 | 11 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 377 | 24 | 401 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.2% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 47.5% | (/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) | |
| 47.3% | (/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) x) y) | |
| 84.9% | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) | |
| ✓ | 52.6% | (/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
| ✓ | 86.3% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
| ✓ | 82.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 47.6% | (/.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) | |
| 53.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))))) z) | |
| 10.5% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) | |
| 47.7% | (/.f64 (neg.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) y) | |
| 42.4% | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) y)) (neg.f64 y)) | |
| 10.4% | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) #s(approx (/ (+ (* (* 1/6 y) y) -1) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 y)) | |
| 24.3% | (/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) #s(approx (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z)))) y)) (neg.f64 y)) | |
| 40.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) | |
| ✓ | 50.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
| 55.7% | (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 82.6% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| 54.7% | (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) | |
| ✓ | 85.6% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
| ✓ | 56.0% | (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
| ✓ | 51.9% | (*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
| 60.5% | (*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) | |
| ✓ | 60.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 1 012 to 493 computations (51.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) #s(approx (/ (+ (* (* 1/6 y) y) -1) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) y) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) y)) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) #s(approx (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z)))) y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))))) z) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.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 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.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:
| 115.0ms | z |
| 36.0ms | x |
| 9.0ms | y |
| 9.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 8.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | (/.f64 (sin.f64 y) y) |
| 99.9% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.9% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 99.8% | 2 | x |
| 96.1% | 1 | y |
| 96.1% | 1 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) #s(approx (/ (+ (* (* 1/6 y) y) -1) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) y) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) y)) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) #s(approx (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z)))) y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))))) z) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.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)) |
| Outputs |
|---|
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
6 calls:
| 43.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 8.0ms | x |
| 8.0ms | z |
| 7.0ms | y |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (/.f64 (sin.f64 y) y) |
| 97.3% | 2 | y |
| 92.9% | 1 | z |
| 95.1% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 96.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.5% | 2 | x |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) #s(approx (/ (+ (* (* 1/6 y) y) -1) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) y) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) y)) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) #s(approx (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z)))) y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))))) z) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.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 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
2 calls:
| 28.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | y |
| 97.3% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) #s(approx (/ (+ (* (* 1/6 y) y) -1) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) y) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) y)) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) #s(approx (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z)))) y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))))) z) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y))) |
2 calls:
| 7.0ms | y |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (/.f64 (sin.f64 y) y) |
| 97.3% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) #s(approx (/ (+ (* (* 1/6 y) y) -1) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) y) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) y)) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) #s(approx (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z)))) y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))))) z) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
2 calls:
| 7.0ms | y |
| 6.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (/.f64 (sin.f64 y) y) |
| 97.3% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
(*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (/.f64 (neg.f64 y) z) x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (neg.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) x) y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (*.f64 z y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) #s(approx (/ (+ (* (* 1/6 y) y) -1) z) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64))))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (*.f64 (/.f64 x z) y) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))) y) |
(/.f64 (*.f64 (/.f64 x z) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 (fma.f64 (*.f64 (/.f64 x z) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 y) (/.f64 (neg.f64 x) z)) y)) (neg.f64 y)) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) #s(approx (* (* (/ (+ (* -1/6 x) (/ (/ x y) y)) z) (neg y)) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) z)))) y)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))))) z) |
(/.f64 #s(approx (* (/ x z) (neg (sin y))) (*.f64 #s(approx (* (/ x z) (+ (* (* 1/6 y) y) -1)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) z) (neg.f64 y)) y)) y)) (neg.f64 y)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 53.0ms | (/.f64 (sin.f64 y) y) |
| 33.0ms | z |
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 2 | z |
| 67.8% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.6% | 2 | x |
| 70.3% | 3 | (/.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 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 x (/.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
4 calls:
| 3.0ms | y |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 67.6% | 2 | y |
| 67.6% | 2 | (/.f64 (sin.f64 y) y) |
| 69.2% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
2 calls:
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 2 | (/.f64 (sin.f64 y) y) |
| 67.6% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 12 to 12 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
(/.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)) |
5 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 1 | x |
| 63.7% | 2 | z |
| 64.5% | 2 | y |
| 64.5% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 64.5% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 21 computations (-40% 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 x #s(approx (/ (/ (neg (sin y)) z) (neg y)) (/.f64 #s(literal 1 binary64) z))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
5 calls:
| 15.0ms | y |
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 1 | z |
| 60.6% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 60.6% | 1 | y |
| 60.6% | 1 | (/.f64 (sin.f64 y) y) |
| 60.6% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 20 to 24 computations (-20% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 8.428252611161051e-47 | 2.70961624520621e-39 |
| 10.0ms | 144× | 0 | valid |
Compiled 155 to 157 computations (-1.3% saved)
ival-sin: 4.0ms (62.2% of total)ival-div: 2.0ms (31.1% of total)ival-mult: 1.0ms (15.6% 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 | 1.266495225544429e-78 | 3.670907957445024e-56 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.101858929523641e-15 | 5.003129979152126e-14 |
| 6.0ms | 96× | 0 | valid |
Compiled 143 to 133 computations (7% saved)
ival-div: 1.0ms (31% of total)ival-mult: 1.0ms (31% of total)ival-sin: 1.0ms (31% 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 |
|---|---|---|
| 24.0ms | 1.0762678866411325e-20 | 8.929353497790321e-19 |
| 7.0ms | 112× | 0 | valid |
Compiled 165 to 153 computations (7.3% saved)
ival-sin: 2.0ms (49.6% of total)ival-div: 1.0ms (24.8% of total)ival-mult: 1.0ms (24.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 3.2770303613280618e-15 | 6.101858929523641e-15 |
| 4.0ms | 64× | 0 | valid |
Compiled 91 to 85 computations (6.6% saved)
ival-div: 1.0ms (46.3% of total)ival-sin: 1.0ms (46.3% 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)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4.4e-323 |
| 0.0ms | -1.4546439062913416e-222 | -1.2514624521408548e-232 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.328153260476e-311 | 5.612634433047e-311 |
| 0.0ms | -4.6271101696421194e-136 | -2.360654393006231e-137 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.667083589488368e-104 | 2.5509610301557444e-96 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.328153260476e-311 | 5.612634433047e-311 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 331 |
| 1 | 133 | 331 |
| 2 | 217 | 325 |
| 3 | 361 | 325 |
| 4 | 539 | 325 |
| 5 | 770 | 325 |
| 6 | 1319 | 325 |
| 7 | 2584 | 325 |
| 8 | 4882 | 325 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 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 3961408125713217/79228162514264337593543950336 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 y #s(literal 279085956146247/324518553658426726783156020576256 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)))) |
(if (<=.f64 y #s(literal 237684487542793/39614081257132168796771975168 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -5237424972633827/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 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 (sin.f64 y) y) #s(literal 8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 y #s(literal 3961408125713217/79228162514264337593543950336 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 y #s(literal 3961408125713217/79228162514264337593543950336 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))) |
(if (<=.f64 y #s(literal 279085956146247/324518553658426726783156020576256 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)))) |
(if (<=.f64 y #s(literal 279085956146247/324518553658426726783156020576256 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))) |
(if (<=.f64 y #s(literal 237684487542793/39614081257132168796771975168 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) (/.f64 (/.f64 x y) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -5237424972633827/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8069530869021589/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (*.f64 z y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 0 | 129 | 562 |
| 1 | 449 | 546 |
| 2 | 1698 | 510 |
| 3 | 5443 | 506 |
| 0 | 8152 | 469 |
| 0 | 109 | 441 |
| 1 | 380 | 429 |
| 2 | 1412 | 397 |
| 3 | 4378 | 392 |
| 0 | 8174 | 359 |
| 0 | 37 | 190 |
| 0 | 60 | 190 |
| 1 | 164 | 190 |
| 2 | 820 | 190 |
| 3 | 6521 | 190 |
| 0 | 8182 | 190 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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× | node limit |
Compiled 325 to 82 computations (74.8% saved)
(negabs z)
(abs y)
Compiled 898 to 308 computations (65.7% saved)
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