Details

analyze300.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 48.307964%

Guaranteed chance to sample good point: 95.122383%

sample28.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
0.0ms	5×	body	80	nan

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	28	9
3	29	9
4	29	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 1.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

14.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms	(/ (acos (/ (neg g) h)) 3.0)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
5.0ms	(/ (* 2.0 PI) 3.0)

series25.0ms

Counts

4 → 10

Calls

4 calls:

15.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms	(/ (acos (/ (neg g) h)) 3.0)
7.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify109.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4381	614
3	5002	614

prune133.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

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

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`div-inv`
4×	`pow1`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-lft1-in` `flip3-+` `div-exp` `frac-add` `sum-log` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `sin-sum` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 67

Calls

4 calls:

4.0ms	(/ (* 2.0 PI) 3.0)
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify94.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	234	454
1	822	413
2	3823	405
3	5002	405

prune170.0ms

Filtered

56 candidates to 71 candidates (-26.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`times-frac`
16×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
5×	`distribute-rgt-out`
4×	`pow1` `cos-sum` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `acos-asin` `cos-diff` `sub-neg` `distribute-lft1-in` `flip3-+` `div-sub` `frac-add` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate--r-`

Counts

4 → 79

Calls

4 calls:

18.0ms	(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
3.0ms	(/ PI 3.0)
6.0ms	(/ (* 2.0 PI) 3.0)

series14.0ms

Counts

4 → 6

Calls

4 calls:

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

simplify110.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	322	516
1	1082	474
2	4433	470
3	5001	470

prune128.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(cos (- (* 1.0 PI) (* 0.3333333333333333 (acos (/ g h)))))
0.0b	(- (* 1.0 PI) (* 0.3333333333333333 (acos (/ g h))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `cos-sum` `*-un-lft-identity` `add-cbrt-cube`
1×	`cos-diff` `flip3--` `diff-log` `flip--`

Counts

2 → 22

Calls

2 calls:

4.0ms	(cos (- (* 1.0 PI) (* 0.3333333333333333 (acos (/ g h)))))
3.0ms	(- (* 1.0 PI) (* 0.3333333333333333 (acos (/ g h))))

series19.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(cos (- (* 1.0 PI) (* 0.3333333333333333 (acos (/ g h)))))
5.0ms	(- (* 1.0 PI) (* 0.3333333333333333 (acos (/ g h))))

simplify76.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	114	257
1	303	233
2	919	233
3	2165	233
4	5001	233

prune38.0ms

Filtered

19 candidates to 28 candidates (-47.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	29	3	32

Merged error: 0b

Counts

32 → 3

regimes79.0ms

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	22
1	26	22

end0.0ms

analyze296.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 48.307964%

Guaranteed chance to sample good point: 95.122383%

sample761.0ms

Algorithm

intervals

Results

587.0ms	8000×	body	80	valid
18.0ms	300×	body	80	nan

Details

analyze300.0ms

sample28.0ms

simplify7.0ms

prune3.0ms

localize13.0ms

rewrite34.0ms

series25.0ms

simplify109.0ms

prune133.0ms

localize27.0ms

rewrite34.0ms

series0.0ms

simplify94.0ms

prune170.0ms

localize13.0ms

rewrite39.0ms

series14.0ms

simplify110.0ms

prune128.0ms

localize10.0ms

rewrite7.0ms

series19.0ms

simplify76.0ms

prune38.0ms

regimes79.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze296.0ms

sample761.0ms

Profiling