Details

analyze342.0ms

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

sample47.0ms

Algorithm

intervals

Results

30.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

simplify313.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	5643	26

prune14.0ms

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

localize14.0ms

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))))

rewrite25.0ms

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

series608.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
129.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
37.0ms	(.f64 (.f64 2 PI.f64) u2)
166.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

simplify71.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4905	1090
1	4905	1090

prune82.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`sqrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
19×	`associate-l_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-r_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:

2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
8.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
11.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))

series555.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
40.0ms	(.f64 (.f64 2 PI.f64) u2)
205.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
181.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))

simplify50.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4932	1396
1	4932	1396

prune88.0ms

Filtered

64 candidates to 109 candidates (-70.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Merged error: 0b

Counts

118 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod_binary64`
21×	`pow1_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`associate-l_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-r_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:

3.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
6.0ms	(.f64 (.f64 2 PI.f64) u2)
7.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)
8.0ms	(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) (sqrt.f64 2))

series482.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
36.0ms	(.f64 (.f64 2 PI.f64) u2)
136.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)
202.0ms	(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) (sqrt.f64 2))

simplify64.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5183	1249

prune81.0ms

Filtered

59 candidates to 104 candidates (-76.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0b

Counts

111 → 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)

rewrite33.0ms

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:

2.0ms	(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)))
8.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
5.0ms	(.f64 (.f64 2 PI.f64) u2)

series542.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
207.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
165.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
43.0ms	(.f64 (.f64 2 PI.f64) u2)

simplify73.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4951	1122
1	4951	1122

prune83.0ms

Filtered

59 candidates to 93 candidates (-57.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 0b

Counts

100 → 7

regimes131.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

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

845.0ms	8000×	body	128	valid
190.0ms	8000×	pre	128	true

Details

analyze342.0ms

sample47.0ms

simplify313.0ms

prune14.0ms

localize14.0ms

rewrite25.0ms

series608.0ms

simplify71.0ms

prune82.0ms

localize14.0ms

rewrite35.0ms

series555.0ms

simplify50.0ms

prune88.0ms

localize14.0ms

rewrite32.0ms

series482.0ms

simplify64.0ms

prune81.0ms

localize14.0ms

rewrite33.0ms

series542.0ms

simplify73.0ms

prune83.0ms

regimes131.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling