
Time bar (total: 2.9s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 701.0ms | 8 256× | 0 | valid |
ival-sin: 249.0ms (63.9% of total)ival-div: 78.0ms (20% of total)ival-mult: 51.0ms (13.1% of total)ival-true: 6.0ms (1.5% of total)adjust: 3.0ms (0.8% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 33.0ms | 512× | 0 | valid |
Compiled 38 to 19 computations (50% saved)
ival-sin: 13.0ms (63.4% of total)ival-div: 4.0ms (19.5% of total)ival-mult: 3.0ms (14.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 36 |
| 1 | 36 | 32 |
| 2 | 81 | 32 |
| 3 | 134 | 32 |
| 4 | 258 | 32 |
| 5 | 530 | 32 |
| 6 | 1240 | 32 |
| 7 | 3202 | 32 |
| 8 | 6623 | 32 |
| 0 | 5 | 6 |
| 0 | 8 | 6 |
| 1 | 11 | 6 |
| 2 | 13 | 6 |
| 3 | 15 | 6 |
| 4 | 16 | 6 |
| 0 | 16 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(abs y)
(negabs x)
Compiled 6 to 5 computations (16.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(/ (* x (sin y)) y) |
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) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
| 1.0ms | x | @ | inf | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
| 1.0ms | y | @ | -inf | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
| 1.0ms | y | @ | inf | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
| 1.0ms | x | @ | -inf | ((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 150 |
| 1 | 142 | 150 |
| 2 | 488 | 140 |
| 3 | 2111 | 138 |
| 4 | 7219 | 138 |
| 0 | 8012 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
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) |
(*.f64 (sin.f64 y) (/.f64 x 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 (*.f64 y y) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) 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 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #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 | 5 | 14 |
| 0 | 8 | 14 |
| 1 | 14 | 14 |
| 2 | 37 | 14 |
| 3 | 145 | 14 |
| 0 | 852 | 14 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.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 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
x |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 y))) |
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.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 (neg.f64 (+.f64 (PI.f64) y))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (PI.f64) (neg.f64 y))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.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 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 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 (+.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 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) |
(+.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 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.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))) |
y |
Compiled 661 to 182 computations (72.5% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 6 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 49 | 7 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.1% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 87.9% | (*.f64 (/.f64 x y) (sin.f64 y)) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 42.5% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 42.4% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 42.6% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
| ▶ | 43.3% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 154 to 111 computations (27.9% saved)
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#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)))) |
#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) |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(* x (sin y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
1 |
(+ 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))) |
(pow y 2) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(sin y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (/ (sin y) y) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) 1/120 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* -1/5040 (* y y)) 1/120) -1/5040) |
| 2.0ms | y | @ | -inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (/ (sin y) y) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) 1/120 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* -1/5040 (* y y)) 1/120) -1/5040) |
| 1.0ms | x | @ | -inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (/ (sin y) y) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) 1/120 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* -1/5040 (* y y)) 1/120) -1/5040) |
| 1.0ms | x | @ | inf | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (/ (sin y) y) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) 1/120 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* -1/5040 (* y y)) 1/120) -1/5040) |
| 1.0ms | y | @ | 0 | ((/ (* (sin y) x) y) (* (sin y) x) (sin y) y x (* x (/ (sin y) y)) (/ (sin y) y) 1 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) -1/6 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) 1/120 (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (+ (* -1/5040 (* y y)) 1/120) -1/5040) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 408 |
| 1 | 231 | 408 |
| 2 | 752 | 394 |
| 3 | 3281 | 380 |
| 0 | 8133 | 349 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(* x (sin y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
1 |
(+ 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))) |
(pow y 2) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(sin y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/5040 (pow y 6)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) |
(* -1/5040 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* -1/5040 (pow y 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 193 |
| 0 | 46 | 193 |
| 1 | 161 | 193 |
| 0 | 1148 | 193 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#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)))) |
#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) |
#s(literal -1/6 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.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 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.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 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1/6 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y)) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (*.f64 #s(literal -1/6 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (neg.f64 y)) (neg.f64 y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fabs.f64 y)) (fabs.f64 y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal -1/6 binary64)))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)) y)) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y))) |
(-.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/14400 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) |
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/5040 binary64) y) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) y)) y)) |
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1/5040 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (/.f64 #s(literal 1/1728000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) |
#s(literal -1/5040 binary64) |
Compiled 7 692 to 1 224 computations (84.1% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 4 | 320 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 317 | 10 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.1% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ▶ | 34.6% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| ▶ | 87.9% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 42.5% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 42.4% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 42.6% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| ▶ | 2.8% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
| ✓ | 43.3% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 42.6% | #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
Compiled 189 to 137 computations (27.5% saved)
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #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 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(/ x y) |
x |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x (sin y)) |
(* x y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
1 |
(+ 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))) |
(* -1/6 (pow y 2)) |
(pow y 2) |
(* -1/6 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))))))) |
(sin y) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((* (/ x y) (sin y)) (/ x y) x y (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* y y) -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (/ (* (sin y) x) y) (* (sin y) x) (* x y)) |
| 3.0ms | x | @ | -inf | ((* (/ x y) (sin y)) (/ x y) x y (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* y y) -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (/ (* (sin y) x) y) (* (sin y) x) (* x y)) |
| 2.0ms | y | @ | inf | ((* (/ x y) (sin y)) (/ x y) x y (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* y y) -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (/ (* (sin y) x) y) (* (sin y) x) (* x y)) |
| 2.0ms | x | @ | inf | ((* (/ x y) (sin y)) (/ x y) x y (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* y y) -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (/ (* (sin y) x) y) (* (sin y) x) (* x y)) |
| 2.0ms | x | @ | 0 | ((* (/ x y) (sin y)) (/ x y) x y (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* y y) -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* -1/6 y) y) 1) (* -1/6 y) 1 (/ (* (sin y) x) y) (* (sin y) x) (* x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 279 |
| 1 | 201 | 279 |
| 2 | 653 | 263 |
| 3 | 2814 | 259 |
| 4 | 7614 | 259 |
| 0 | 8060 | 233 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(/ x y) |
x |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (pow y 2)) |
(* x (sin y)) |
(* x y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
1 |
(+ 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))) |
(* -1/6 (pow y 2)) |
(pow y 2) |
(* -1/6 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))))))) |
(sin y) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ x y) |
(/.f64 x y) |
x |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y x)) |
(sin y) |
(sin.f64 y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 156 |
| 0 | 45 | 153 |
| 1 | 120 | 153 |
| 0 | 521 | 153 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 x y) |
x |
y |
(sin.f64 y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y y) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #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 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
x |
y |
(sin.f64 y) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(neg.f64 (*.f64 y (neg.f64 y))) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) x))) |
(-.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 y x) y) |
(*.f64 (*.f64 y y) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) y)) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1/6 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x))) (neg.f64 y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 y x))) y)) |
(neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (neg.f64 y))) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 3 195 to 553 computations (82.7% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 5 | 181 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 178 | 13 | 191 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.1% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 34.6% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| ✓ | 87.9% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 42.5% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 42.4% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 42.6% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| ▶ | 23.4% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
| ▶ | 2.8% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
| ✓ | 43.3% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 42.6% | #s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
| ▶ | 42.6% | #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
| ▶ | 2.8% | #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
Compiled 290 to 205 computations (29.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
y |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x y)) |
(* x y) |
x |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(+ 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 |
(pow y 2) |
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))) |
(* -1/6 (pow y 2)) |
(* -1/6 y) |
(/ 1 y) |
(/ (+ 1 (* -1/6 (pow y 2))) y) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1/6 (pow y 2))) (pow y 2)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* y (- (/ 1 (pow y 2)) 1/6)) |
-1/6 |
(- (/ 1 (pow y 2)) 1/6) |
(* -1 (* y (- 1/6 (/ 1 (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((/ (* (sin y) x) y) (+ (* y (* (* y x) -1/6)) x) y (* (* y x) -1/6) (* y x) x -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (- (/ 1 (* y y)) 1/6) y) (- (/ 1 (* y y)) 1/6) (/ 1 (* y y)) 1 1/6) |
| 3.0ms | y | @ | -inf | ((/ (* (sin y) x) y) (+ (* y (* (* y x) -1/6)) x) y (* (* y x) -1/6) (* y x) x -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (- (/ 1 (* y y)) 1/6) y) (- (/ 1 (* y y)) 1/6) (/ 1 (* y y)) 1 1/6) |
| 2.0ms | x | @ | -inf | ((/ (* (sin y) x) y) (+ (* y (* (* y x) -1/6)) x) y (* (* y x) -1/6) (* y x) x -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (- (/ 1 (* y y)) 1/6) y) (- (/ 1 (* y y)) 1/6) (/ 1 (* y y)) 1 1/6) |
| 2.0ms | y | @ | 0 | ((/ (* (sin y) x) y) (+ (* y (* (* y x) -1/6)) x) y (* (* y x) -1/6) (* y x) x -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (- (/ 1 (* y y)) 1/6) y) (- (/ 1 (* y y)) 1/6) (/ 1 (* y y)) 1 1/6) |
| 2.0ms | x | @ | 0 | ((/ (* (sin y) x) y) (+ (* y (* (* y x) -1/6)) x) y (* (* y x) -1/6) (* y x) x -1/6 (/ (* (sin y) x) y) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* y y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* -1/6 y) y) (* -1/6 y) (/ (* (sin y) x) y) (+ (* (* (* y x) y) -1/6) x) (* (* y x) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (- (/ 1 (* y y)) 1/6) y) (- (/ 1 (* y y)) 1/6) (/ 1 (* y y)) 1 1/6) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 232 |
| 1 | 177 | 232 |
| 2 | 543 | 220 |
| 3 | 2187 | 216 |
| 0 | 8747 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (* x y)) |
(* x y) |
x |
(* -1/6 (* x (pow y 2))) |
(* x (pow y 2)) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(+ 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 |
(pow y 2) |
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))) |
(* -1/6 (pow y 2)) |
(* -1/6 y) |
(/ 1 y) |
(/ (+ 1 (* -1/6 (pow y 2))) y) |
(/ 1 (pow y 2)) |
(/ (+ 1 (* -1/6 (pow y 2))) (pow y 2)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(/ (sin y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* y (- (/ 1 (pow y 2)) 1/6)) |
-1/6 |
(- (/ 1 (pow y 2)) 1/6) |
(* -1 (* y (- 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(* -1/6 (* x y)) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(* x y) |
(*.f64 x y) |
x |
(* -1/6 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 x y) y) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x) |
y |
(pow y 2) |
(*.f64 y y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1/6 (pow y 2))) y) |
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(/ (+ 1 (* -1/6 (pow y 2))) (pow y 2)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/6 binary64)) y) y) |
(* y (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/6 binary64)) y) |
-1/6 |
#s(literal -1/6 binary64) |
(- (/ 1 (pow y 2)) 1/6) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/6 binary64)) |
(* -1 (* y (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 280 |
| 0 | 58 | 278 |
| 1 | 176 | 264 |
| 0 | 802 | 258 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
(fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
y |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal -1/6 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y)) |
(-.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal -1/6 binary64) y))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) (*.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
y |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x y) #s(literal -1/6 binary64)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
#s(literal -1/6 binary64) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64))) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) y) |
(*.f64 y #s(literal -1/6 binary64)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 #s(literal -1/6 binary64) x)) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y) x) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x x) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) |
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x) |
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) #s(literal -1/6 binary64))) |
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal -1/6 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y))) y)) |
(-.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 x y)) (*.f64 #s(literal -1/6 binary64) y))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) (*.f64 x y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x) |
(+.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 x y) y) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 x y)) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y) y))) x) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y) y) |
(*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 y (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 y y)) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) y) |
(*.f64 y (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) y) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) y) (fma.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(pow.f64 (*.f64 y y) #s(literal -1 binary64)) |
(pow.f64 y #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
#s(literal 1/6 binary64) |
Compiled 4 927 to 822 computations (83.3% saved)
14 alts after pruning (5 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 5 | 203 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 8 | 8 |
| Total | 202 | 14 | 216 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.1% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| ✓ | 34.6% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y) |
| ✓ | 87.9% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | 42.5% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 42.4% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 42.6% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
| ✓ | 23.4% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
| 33.1% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)))) | |
| 43.2% | (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) | |
| ✓ | 43.3% | (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 42.6% | #s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) x)) | |
| 2.9% | #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) | |
| 2.9% | #s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y))) |
Compiled 604 to 271 computations (55.1% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #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) x) (*.f64 x y)) y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 11.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #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) x) (*.f64 x y)) y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)))) |
4 calls:
| 19.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 2 | (/.f64 (sin.f64 y) y) |
| 52.2% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 45.0% | 2 | x |
| 52.9% | 2 | y |
Compiled 12 to 13 computations (-8.3% saved)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #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) x) (*.f64 x y)) y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)))) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)))) |
2 calls:
| 19.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 2 | (/.f64 (sin.f64 y) y) |
| 52.8% | 2 | y |
Compiled 5 to 6 computations (-20% saved)
Total -26.5b remaining (-73%)
Threshold costs -26.5b (-73%)
| Inputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64)))) |
#s(approx (/ (* (sin y) x) y) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 y (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x)) |
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)) |
(*.f64 x #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) x) (*.f64 x y)) y) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
| Outputs |
|---|
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
4 calls:
| 14.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 1 | x |
| 43.3% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 43.3% | 1 | (/.f64 (sin.f64 y) y) |
| 43.3% | 1 | y |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 54.46877114789661 | 298470.3720900832 |
| 9.0ms | 128× | 0 | valid |
Compiled 449 to 306 computations (31.8% saved)
ival-sin: 4.0ms (65.3% of total)ival-div: 1.0ms (16.3% of total)ival-mult: 1.0ms (16.3% 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 |
|---|---|---|
| 21.0ms | 0.29275040033792754 | 17.465274577891087 |
| 16.0ms | 112× | 0 | valid |
Compiled 359 to 255 computations (29% saved)
ival-sin: 4.0ms (72.6% of total)ival-div: 1.0ms (18.2% of total)ival-mult: 1.0ms (18.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 127 |
| 1 | 55 | 127 |
| 2 | 94 | 127 |
| 3 | 202 | 127 |
| 4 | 376 | 127 |
| 5 | 824 | 127 |
| 6 | 5579 | 127 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 260000 binary64)) (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y))))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y))))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(if (<=.f64 y #s(literal 260000 binary64)) (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y))))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(approx (- (/ 1 (* y y)) 1/6) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y))))) |
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 1× | fuel |
Compiled 127 to 45 computations (64.6% saved)
(negabs x)
(abs y)
Compiled 314 to 140 computations (55.4% saved)
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