Details

analyze324.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
0%	6.2%	93.8%	3
3.1%	3.1%	93.8%	4
3.1%	3.1%	93.8%	5
4.7%	1.6%	93.8%	6
4.7%	1.6%	93.8%	7
5.5%	0.8%	93.8%	8
5.5%	0.8%	93.8%	9
5.8%	0.4%	93.8%	10
5.8%	0.4%	93.8%	11
6%	0.2%	93.8%	12
6%	0.2%	93.8%	13
6.1%	0.1%	93.8%	14

sample48.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify571.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5317	16

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`sqrt-pow1_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 59

Calls

4 calls:

4.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
6.0ms	(.f64 (.f64 2 PI.f64) u2)
9.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
11.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
4.0ms	(.f64 (.f64 2 PI.f64) u2)
22.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4901	668
1	4901	668

prune94.0ms

Filtered

49 candidates to 71 candidates (-44.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.3b	(*.f64 (+.f64 PI.f64 PI.f64) u2)
0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
0.4b	(.f64 1/6 (.f64 (cos.f64 (.f64 (+.f64 PI.f64 PI.f64) u2)) (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
24×	`pow1_binary64`
22×	`*-un-lft-identity_binary64`
21×	`associate-l_binary64`
20×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow-prod-down_binary64`
8×	`cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64`
3×	`pow1/2_binary64` `distribute-lft-out_binary64` `distribute-rgt-out_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64` `associate-*l/_binary64`
1×	`flip3-+_binary64` `count-2_binary64` `distribute-lft1-in_binary64` `distribute-rgt1-in_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `flip-+_binary64`

Counts

4 → 111

Calls

4 calls:

3.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
7.0ms	(*.f64 (+.f64 PI.f64 PI.f64) u2)
9.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
12.0ms	(.f64 1/6 (.f64 (cos.f64 (.f64 (+.f64 PI.f64 PI.f64) u2)) (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
3.0ms	(*.f64 (+.f64 PI.f64 PI.f64) u2)
15.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
25.0ms	(.f64 1/6 (.f64 (cos.f64 (.f64 (+.f64 PI.f64 PI.f64) u2)) (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))))

simplify33.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5263	1080

prune109.0ms

Filtered

74 candidates to 123 candidates (-66.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.3b	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
0.3b	(.f64 (.f64 2 PI.f64) u2)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64`
19×	`pow-prod-down_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`sqrt-pow1_binary64`
11×	`associate-l_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
9×	`sqrt-prod_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow1/2_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-unprod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`

Counts

4 → 81

Calls

4 calls:

3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
11.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
8.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
6.0ms	(.f64 (.f64 2 PI.f64) u2)

series48.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
17.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
17.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
4.0ms	(.f64 (.f64 2 PI.f64) u2)

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5141	688

prune105.0ms

Filtered

61 candidates to 93 candidates (-52.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0b

Counts

100 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.2b	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64`
6×	`-un-lft-identity_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
3×	`sqrt-pow1_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `+-commutative_binary64` `sqrt-prod_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 59

Calls

4 calls:

4.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
4.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
6.0ms	(.f64 (.f64 2 PI.f64) u2)
6.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

series49.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
12.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
4.0ms	(.f64 (.f64 2 PI.f64) u2)
11.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

simplify70.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4889	566
1	4889	566

prune70.0ms

Filtered

49 candidates to 71 candidates (-44.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0b

Counts

77 → 6

regimes267.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms

sample1.2s

Algorithm

intervals

Results

802.0ms	8000×	body	80	valid
202.0ms	8000×	pre	80	true

Details

analyze324.0ms

sample48.0ms

simplify571.0ms

prune10.0ms

localize24.0ms

rewrite24.0ms

series70.0ms

simplify52.0ms

prune94.0ms

localize14.0ms

rewrite34.0ms

series52.0ms

simplify33.0ms

prune109.0ms

localize14.0ms

rewrite29.0ms

series48.0ms

simplify58.0ms

prune105.0ms

localize13.0ms

rewrite21.0ms

series49.0ms

simplify70.0ms

prune70.0ms

regimes267.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling