Details

analyze161.0ms (6.6%)

Algorithm

1×

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

sample32.0ms (1.3%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	80	valid
1.0ms	20×	body	80	nan

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

prune6.0ms (0.3%)

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 (0.5%)

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)

rewrite29.0ms (1.2%)

Algorithm

1×	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:

10.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
4.0ms	(/ (* 2.0 PI) 3.0)
3.0ms	(/ (acos (/ (neg g) h)) 3.0)

series25.0ms (1%)

Counts

4 → 10

Calls

4 calls:

17.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
5.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
3.0ms	(/ (acos (/ (neg g) h)) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify52.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5326	1073

prune159.0ms (6.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize25.0ms (1%)

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)))

rewrite23.0ms (1%)

Algorithm

1×	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:

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

series0.0ms (0%)

Counts

4 → 4

Calls

4 calls:

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

simplify51.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5249	715

prune246.0ms (10.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite33.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
3×	`cos-sum` `associate-l` `associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `acos-asin` `cos-diff` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `frac-add` `associate--l+` `clear-num` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `associate--r-`

Counts

4 → 83

Calls

4 calls:

14.0ms	(cos (- (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
7.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
6.0ms	(* PI (/ 2.0 3.0))
3.0ms	(/ PI 3.0)

series14.0ms (0.6%)

Counts

4 → 6

Calls

4 calls:

13.0ms	(cos (- (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms	(/ PI 3.0)
0.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
0.0ms	(* PI (/ 2.0 3.0))

simplify57.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5384	881

prune164.0ms (6.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0.0b

Counts

92 → 3

localize21.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.0b	(* PI (/ 2.0 3.0))
1.0b	(* PI (/ 2.0 3.0))
1.0b	(sin (* PI (/ 2.0 3.0)))
1.6b	(cos (* PI (/ 2.0 3.0)))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 78

Calls

4 calls:

6.0ms	(* PI (/ 2.0 3.0))
6.0ms	(* PI (/ 2.0 3.0))
2.0ms	(cos (* PI (/ 2.0 3.0)))
2.0ms	(sin (* PI (/ 2.0 3.0)))

series0.0ms (0%)

Counts

4 → 4

Calls

4 calls:

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

simplify65.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5292	678

prune229.0ms (9.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	83	2	85

Merged error: 0.0b

Counts

85 → 2

regimes195.0ms (8%)

Accuracy

Total 0.0b remaining (56.6%)

Threshold costs 0.0b (56.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	37
1	67	37

end0.0ms (0%)

sample796.0ms (32.7%)

Algorithm

1×

intervals

Results

597.0ms	8000×	body	80	valid
36.0ms	573×	body	80	nan

Details

analyze161.0ms (6.6%)

sample32.0ms (1.3%)

simplify4.0ms (0.1%)

prune6.0ms (0.3%)

localize13.0ms (0.5%)

rewrite29.0ms (1.2%)

series25.0ms (1%)

simplify52.0ms (2.2%)

prune159.0ms (6.5%)

localize25.0ms (1%)

rewrite23.0ms (1%)

series0.0ms (0%)

simplify51.0ms (2.1%)

prune246.0ms (10.1%)

localize14.0ms (0.6%)

rewrite33.0ms (1.3%)

series14.0ms (0.6%)

simplify57.0ms (2.4%)

prune164.0ms (6.7%)

localize21.0ms (0.9%)

rewrite18.0ms (0.7%)

series0.0ms (0%)

simplify65.0ms (2.7%)

prune229.0ms (9.4%)

regimes195.0ms (8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample796.0ms (32.7%)

Profiling