Details

analyze167.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

sample33.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
1.0ms	18×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (neg g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-sub` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`cos-diff` `frac-2neg` `clear-num`
1×	`+-commutative` `cos-sum` `distribute-rgt-out` `flip3-+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
5.0ms	(/ (* 2.0 PI) 3.0)

series23.0ms

Counts

4 → 10

Calls

4 calls:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
5.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
14.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5326	1073

prune138.0ms

Filtered

68 candidates to 86 candidates (-26.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
1.0b	(/ PI 3.0)
1.0b	(/ PI 3.0)
62.9b	(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1`
3×	`div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3-+` `sin-sum` `associate-*r/` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

7.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
5.0ms	(/ PI 3.0)
3.0ms	(/ PI 3.0)
8.0ms	(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
0.0ms	(/ PI 3.0)
0.0ms	(/ PI 3.0)
0.0ms	(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5249	715

prune205.0ms

Filtered

65 candidates to 79 candidates (-21.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
1.0b	(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(* PI (/ 2.0 3.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`associate-+r-` `div-sub`
3×	`unpow-prod-down` `pow-unpow` `cube-prod` `associate-l`
2×	`acos-neg` `acos-asin` `cos-diff` `associate-*r/` `distribute-frac-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `cos-sum` `pow-pow` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `frac-add` `pow-exp` `sum-log` `*-commutative` `flip-+` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))
3.0ms	(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
9.0ms	(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
6.0ms	(* PI (/ 2.0 3.0))

series42.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))
23.0ms	(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
14.0ms	(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(* PI (/ 2.0 3.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4930	1214
1	4930	1214

prune151.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (pow (cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0))) 3))
1.0b	(* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h))))
1.0b	(pow (cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0))) 3)
1.0b	(cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`cube-mult` `unpow3` `associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

2.0ms	(cbrt (pow (cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0))) 3))
8.0ms	(* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h))))
2.0ms	(pow (cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0))) 3)
3.0ms	(cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (pow (cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0))) 3))
5.0ms	(* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h))))
22.0ms	(pow (cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0))) 3)
14.0ms	(cos (/ (* 3.0 (+ (* PI 2.0) (acos (/ (neg g) h)))) (* 3.0 3.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4936	1290
1	4936	1290

prune114.0ms

Filtered

51 candidates to 85 candidates (-66.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

regimes365.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	39
1	26	39

end0.0ms

sample775.0ms

Algorithm

intervals

Results

581.0ms	8000×	body	80	valid
36.0ms	546×	body	80	nan

Details

analyze167.0ms

sample33.0ms

simplify5.0ms

prune7.0ms

localize13.0ms

rewrite31.0ms

series23.0ms

simplify57.0ms

prune138.0ms

localize25.0ms

rewrite25.0ms

series0.0ms

simplify51.0ms

prune205.0ms

localize17.0ms

rewrite28.0ms

series42.0ms

simplify58.0ms

prune151.0ms

localize16.0ms

rewrite17.0ms

series56.0ms

simplify51.0ms

prune114.0ms

regimes365.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample775.0ms

Profiling