Details

analyze138.0ms

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
6.0ms	256×	pre	80	true

simplify731.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (208.0ms)

Iter	Nodes	Cost
0	5645	26

prune7.0ms

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

localize23.0ms

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)
0.3b	(.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))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
72.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
19.0ms	(.f64 (.f64 2 PI.f64) u2)
94.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

simplify93.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4908	1090
1	4908	1090

prune82.0ms

Filtered

47 candidates to 71 candidates (-51.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.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))

rewrite31.0ms

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

series290.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
107.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
19.0ms	(.f64 (.f64 2 PI.f64) u2)
95.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))

simplify96.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4966	1122
1	4966	1122

prune91.0ms

Filtered

58 candidates to 93 candidates (-60.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	94	6	100

Merged error: 0b

Counts

100 → 6

localize14.0ms

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))))
0.1b	(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)

rewrite20.0ms

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))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
6.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

series254.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
70.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
19.0ms	(.f64 (.f64 2 PI.f64) u2)
55.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

simplify88.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4860	920
1	4860	920

prune64.0ms

Filtered

46 candidates to 71 candidates (-54.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
0.4b	(*.f64 (log.f64 u1) -1/18)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64`
12×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`log-pow_binary64`
8×	`log-prod_binary64`
7×	`exp-prod_binary64`
6×	`pow-prod-down_binary64` `associate-r_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `exp-sum_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64`

Counts

4 → 72

Calls

4 calls:

3.0ms	(log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
5.0ms	(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
4.0ms	(*.f64 (log.f64 u1) -1/18)

series293.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
24.0ms	(.f64 (.f64 2 PI.f64) u2)
68.0ms	(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
58.0ms	(*.f64 (log.f64 u1) -1/18)

simplify79.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5370	832

prune61.0ms

Filtered

51 candidates to 84 candidates (-64.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0b

Counts

90 → 6

regimes94.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	26
1	23	26

end0.0ms

sample1.2s

Algorithm

intervals

Results

797.0ms	8000×	body	80	valid
189.0ms	8000×	pre	80	true

Details

analyze138.0ms

sample42.0ms

simplify731.0ms

prune7.0ms

localize23.0ms

rewrite23.0ms

series310.0ms

simplify93.0ms

prune82.0ms

localize16.0ms

rewrite31.0ms

series290.0ms

simplify96.0ms

prune91.0ms

localize14.0ms

rewrite20.0ms

series254.0ms

simplify88.0ms

prune64.0ms

localize18.0ms

rewrite20.0ms

series293.0ms

simplify79.0ms

prune61.0ms

regimes94.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling