Details

analyze169.0ms

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

sample30.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
1.0ms	23×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (acos (/ (neg g) h)) 3.0)
0.9b	(+ (/ (* 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))
12.0ms	(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))
15.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5326	1073

prune134.0ms

Filtered

68 candidates to 86 candidates (-26.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

localize26.0ms

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)))

rewrite24.0ms

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))
3.0ms	(/ PI 3.0)
3.0ms	(/ PI 3.0)
9.0ms	(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	78	1	79
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

localize14.0ms

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)

rewrite37.0ms

Algorithm

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:

15.0ms	(cos (- (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
7.0ms	(* PI (/ 2.0 3.0))
8.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
3.0ms	(/ PI 3.0)

series14.0ms

Counts

4 → 6

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5384	881

prune143.0ms

Filtered

71 candidates to 89 candidates (-25.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Merged error: 0.0b

Counts

94 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(* PI (/ 2.0 3.0))
1.6b	(pow (* PI (/ 2.0 3.0)) 3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

12.0ms	(+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0))
12.0ms	(cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0)))
7.0ms	(* PI (/ 2.0 3.0))
5.0ms	(pow (* PI (/ 2.0 3.0)) 3)

series20.0ms

Counts

4 → 8

Calls

4 calls:

5.0ms	(+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0))
15.0ms	(cos (+ (cbrt (pow (* PI (/ 2.0 3.0)) 3)) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(* PI (/ 2.0 3.0))
0.0ms	(pow (* PI (/ 2.0 3.0)) 3)

simplify35.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5187	966

prune131.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Merged error: 0.0b

Counts

95 → 5

regimes406.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	39
1	26	39

end0.0ms

sample793.0ms

Algorithm

intervals

Results

597.0ms	8000×	body	80	valid
39.0ms	540×	body	80	nan

Details

analyze169.0ms

sample30.0ms

simplify4.0ms

prune7.0ms

localize16.0ms

rewrite31.0ms

series23.0ms

simplify54.0ms

prune134.0ms

localize26.0ms

rewrite24.0ms

series0.0ms

simplify51.0ms

prune205.0ms

localize14.0ms

rewrite37.0ms

series14.0ms

simplify58.0ms

prune143.0ms

localize18.0ms

rewrite39.0ms

series20.0ms

simplify35.0ms

prune131.0ms

regimes406.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample793.0ms

Profiling