Details

analyze135.0ms

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

sample42.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify755.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (210.0ms)

Iter	Nodes	Cost
0	5645	26

prune8.0ms

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

localize15.0ms

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))))

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))))
2.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
9.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
68.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
19.0ms	(.f64 (.f64 2 PI.f64) u2)
114.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

simplify86.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4908	1090
1	4908	1090

prune91.0ms

Filtered

47 candidates to 71 candidates (-51.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	9	72

Merged error: 0b

Counts

72 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
0.5b	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

31×	`sqrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
19×	`associate-r_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
9×	`pow-prod-down_binary64`
8×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `unswap-sqr_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64`
1×	`sqrt-unprod_binary64` `rem-sqrt-square_binary64`

Counts

4 → 97

Calls

4 calls:

3.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
8.0ms	(.f64 (.f64 2 PI.f64) u2)
8.0ms	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
9.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
19.0ms	(.f64 (.f64 2 PI.f64) u2)
100.0ms	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
89.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

simplify68.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4971	1371
1	4971	1371

prune95.0ms

Filtered

63 candidates to 109 candidates (-73.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 0b

Counts

118 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.2b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.3b	(.f64 (.f64 (sqrt.f64 2) 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))
0.3b	(.f64 (.f64 2 PI.f64) u2)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-prod_binary64`
19×	`pow1_binary64`
18×	`associate-r_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`log-pow_binary64`
2×	`neg-mul-1_binary64` `associate-l_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 81

Calls

4 calls:

5.0ms	(+.f64 1/2 (.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
9.0ms	(.f64 (.f64 (sqrt.f64 2) 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))
6.0ms	(.f64 (.f64 2 PI.f64) u2)

series319.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+.f64 1/2 (.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
61.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
98.0ms	(.f64 (.f64 (sqrt.f64 2) 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))
22.0ms	(.f64 (.f64 2 PI.f64) u2)

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4888	1507
1	4888	1507

prune84.0ms

Filtered

57 candidates to 93 candidates (-63.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	94	7	101

Merged error: 0b

Counts

101 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))
0.4b	(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod_binary64`
21×	`pow1_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
8×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64`
3×	`*-commutative_binary64`
2×	`neg-mul-1_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 92

Calls

4 calls:

2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
7.0ms	(*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))
9.0ms	(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
20.0ms	(.f64 (.f64 2 PI.f64) u2)
76.0ms	(*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))
98.0ms	(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5147	1226

prune72.0ms

Filtered

57 candidates to 104 candidates (-82.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	105	6	111

Merged error: 0b

Counts

111 → 6

regimes117.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	30
1	31	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

804.0ms	8000×	body	80	valid
196.0ms	8000×	pre	80	true

Details

analyze135.0ms

sample42.0ms

simplify755.0ms

prune8.0ms

localize15.0ms

rewrite23.0ms

series332.0ms

simplify86.0ms

prune91.0ms

localize15.0ms

rewrite32.0ms

series268.0ms

simplify68.0ms

prune95.0ms

localize15.0ms

rewrite25.0ms

series319.0ms

simplify59.0ms

prune84.0ms

localize14.0ms

rewrite27.0ms

series254.0ms

simplify83.0ms

prune72.0ms

regimes117.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling