Details

analyze133.0ms

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

sample43.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify560.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	5317	16

prune9.0ms

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

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(+.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))))

rewrite23.0ms

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)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
8.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

series71.0ms

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)
23.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4901	668
1	4901	668

prune67.0ms

Filtered

49 candidates to 71 candidates (-44.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize13.0ms

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

rewrite35.0ms

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:

2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
7.0ms	(*.f64 (+.f64 PI.f64 PI.f64) u2)
13.0ms	(.f64 1/6 (.f64 (cos.f64 (.f64 (+.f64 PI.f64 PI.f64) u2)) (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
9.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
4.0ms	(*.f64 (+.f64 PI.f64 PI.f64) u2)
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))))))
13.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

simplify32.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5263	1080

prune71.0ms

Filtered

76 candidates to 123 candidates (-61.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	125	6	131

Merged error: 0.0b

Counts

131 → 6

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

rewrite28.0ms

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)))
10.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
7.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))

series52.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
18.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
4.0ms	(.f64 (.f64 2 PI.f64) u2)
19.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5141	688

prune71.0ms

Filtered

61 candidates to 93 candidates (-52.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Merged error: 0b

Counts

99 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(+.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)
0.5b	(.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)

series50.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+.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)
9.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

simplify72.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4889	566
1	4889	566

prune47.0ms

Filtered

49 candidates to 71 candidates (-44.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Merged error: 0b

Counts

76 → 5

regimes176.0ms

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

812.0ms	8000×	body	80	valid
198.0ms	8000×	pre	80	true

Details

analyze133.0ms

sample43.0ms

simplify560.0ms

prune9.0ms

localize25.0ms

rewrite23.0ms

series71.0ms

simplify53.0ms

prune67.0ms

localize13.0ms

rewrite35.0ms

series51.0ms

simplify32.0ms

prune71.0ms

localize14.0ms

rewrite28.0ms

series52.0ms

simplify58.0ms

prune71.0ms

localize13.0ms

rewrite21.0ms

series50.0ms

simplify72.0ms

prune47.0ms

regimes176.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling