
Time bar (total: 1.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 757.0ms | 8 254× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sin: 214.0ms (38.7% of total)ival-cos: 182.0ms (32.9% of total)ival-add: 84.0ms (15.2% of total)ival-mult: 65.0ms (11.8% of total)ival-true: 5.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 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 |
| 55.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-sin: 14.0ms (39.4% of total)ival-cos: 11.0ms (31% of total)ival-add: 7.0ms (19.7% of total)ival-mult: 3.0ms (8.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 x (sin.f64 y)) | |
| cost-diff | 0 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.00390625 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) |
| 24.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-sin: 7.0ms (43.2% of total)ival-cos: 5.0ms (30.9% of total)ival-add: 2.0ms (12.4% of total)ival-mult: 2.0ms (12.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (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)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* z (cos y)) |
(cos y) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (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)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* z (cos y)) |
(cos y) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 x (sin.f64 y)) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(*.f64 z (cos.f64 y)) |
x |
(cos.f64 y) |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
Compiled 116 to 20 computations (82.8% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 7 | 3 | 10 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 7 | 4 | 11 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ▶ | 56.1% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ▶ | 59.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
| ▶ | 4.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
Compiled 47 to 39 computations (17% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | #s(approx (+ x (sin y)) (sin.f64 y)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 x (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
(cos.f64 y) |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
(cos.f64 y) |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) | |
| accuracy | 39.565344836108615 | #s(approx (+ x (sin y)) (sin.f64 y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.00390625 | (+.f64 x (sin.f64 y)) | |
| accuracy | 25.8689944745067 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) | |
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 61.445806470157734 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
| 26.0ms | 256× | 0 | valid |
Compiled 120 to 26 computations (78.3% saved)
ival-sin: 6.0ms (40.8% of total)ival-cos: 5.0ms (34% of total)ival-add: 2.0ms (13.6% of total)ival-mult: 2.0ms (13.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (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)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(cos y) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y))) |
| 1.0ms | z | @ | inf | ((+ (+ x (sin y)) (* z (cos y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y))) |
| 1.0ms | x | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y))) |
| 1.0ms | x | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y))) |
| 1× | egg-herbie |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (/ (sin y) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (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)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(cos y) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos.f64 y) |
(sin y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+ x (sin y)) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(* x (+ 1 (/ (sin y) x))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 z (cos.f64 y)) |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (sin.f64 y)) |
(*.f64 z (cos.f64 y)) |
Compiled 266 to 26 computations (90.2% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 15 | 2 | 17 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 15 | 6 | 21 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 56.1% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 59.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
| ▶ | 42.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| ▶ | 16.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
| ✓ | 4.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
Compiled 73 to 60 computations (17.8% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
(sin.f64 y) |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
(sin.f64 y) |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
y |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (cos.f64 y) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) | |
| accuracy | 37.04658589289586 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 53.474842169038645 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
| 22.0ms | 256× | 0 | valid |
Compiled 68 to 23 computations (66.2% saved)
ival-sin: 6.0ms (41.1% of total)ival-cos: 5.0ms (34.3% of total)ival-add: 2.0ms (13.7% of total)ival-mult: 2.0ms (13.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
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)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(sin y) |
(* z (cos y)) |
(cos y) |
(+ x (sin y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (sin y) (+ (+ x (sin y)) (* z (cos y))) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | inf | ((+ (+ x (sin y)) (* z (cos y))) (sin y) (+ (+ x (sin y)) (* z (cos y))) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (sin y) (+ (+ x (sin y)) (* z (cos y))) (* z (cos y)) (cos y)) |
| 0.0ms | x | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (sin y) (+ (+ x (sin y)) (* z (cos y))) (* z (cos y)) (cos y)) |
| 0.0ms | x | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (sin y) (+ (+ x (sin y)) (* z (cos y))) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
| Inputs |
|---|
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
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)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(sin y) |
(* z (cos y)) |
(cos y) |
(+ x (sin y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
| Outputs |
|---|
(+ (sin y) (* z (cos y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(*.f64 z (cos.f64 y)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(cos.f64 y) |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
Compiled 124 to 16 computations (87.1% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 8 | 0 | 8 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 4 | 4 |
| Total | 8 | 6 | 14 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 56.1% | (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| ✓ | 59.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
| ✓ | 42.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| ✓ | 16.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
| ✓ | 4.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
Compiled 146 to 79 computations (45.9% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
4 calls:
| 3.0ms | z |
| 3.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
4 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | x |
| 64.3% | 3 | y |
| 85.7% | 3 | z |
| 64.5% | 2 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
2 calls:
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 3 | z |
| 73.7% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
4 calls:
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.6% | 1 | y |
| 59.6% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 59.6% | 1 | x |
| 59.6% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
4 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.4% | 1 | z |
| 16.4% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 16.4% | 1 | y |
| 16.4% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
4 calls:
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.0% | 1 | z |
| 4.0% | 1 | x |
| 4.0% | 1 | y |
| 4.0% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.5275172135496086e-59 | 5.782472681659603e-47 |
| 16.0ms | -2.807307096509203e-15 | -8.768803711463884e-20 |
| 25.0ms | 288× | 0 | valid |
Compiled 480 to 428 computations (10.8% saved)
ival-sin: 7.0ms (39.8% of total)ival-cos: 5.0ms (28.4% of total)ival-add: 3.0ms (17.1% of total)ival-mult: 2.0ms (11.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.7946471395046293e+74 | 7.693490174830388e+76 |
| 24.0ms | -6.79693070745318e+18 | -8.632290581044975e-17 |
| 26.0ms | 287× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 516 to 446 computations (13.6% saved)
ival-sin: 9.0ms (46.3% of total)ival-cos: 6.0ms (30.9% of total)ival-add: 3.0ms (15.4% of total)ival-mult: 2.0ms (10.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(if (<=.f64 x #s(literal -7098843361278085/2535301200456458802993406410752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 5862109985456797/102844034832575377634685573909834406561420991602098741459288064 binary64)) (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 z #s(literal -12 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 749999999999999995121649765454345303317917797060932244265828370547547832320 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(if (<=.f64 x #s(literal -7098843361278085/2535301200456458802993406410752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 5862109985456797/102844034832575377634685573909834406561420991602098741459288064 binary64)) (+.f64 #s(approx (+ x (sin y)) (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 z #s(literal -12 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 749999999999999995121649765454345303317917797060932244265828370547547832320 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (sin.f64 y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (cos.f64 y)) |
| 1× | done |
Compiled 145 to 31 computations (78.6% saved)
Compiled 308 to 78 computations (74.7% saved)
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