Details

analyze136.0ms

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
7.0ms	256×	pre	80	true

simplify525.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4872	19
1	4872	19

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.2b	(.f64 (.f64 2.0 PI.f64) u2)
0.4b	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
14×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64` `prod-exp_binary64`
12×	`pow1_binary64`
11×	`times-frac_binary64`
8×	`associate-r_binary64`
6×	`add-log-exp_binary64` `pow-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `div-exp_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64`
2×	`pow-pow_binary64` `unpow-prod-down_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
12.0ms	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))

series284.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
36.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
133.0ms	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4957	1191
1	4957	1191

prune156.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.2b	(.f64 (.f64 2.0 PI.f64) u2)
0.3b	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`sqr-pow_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-r*_binary64`
2×	`pow-to-exp_binary64` `pow-pow_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

14.0ms	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
6.0ms	(.f64 (.f64 2.0 PI.f64) u2)
6.0ms	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)

series270.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
36.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
119.0ms	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4954	1169
1	4954	1169

prune136.0ms

Filtered

68 candidates to 96 candidates (-41.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0b

Counts

105 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.2b	(.f64 (.f64 2.0 PI.f64) u2)
0.2b	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
0.3b	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac_binary64`
72×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
52×	`add-exp-log_binary64`
26×	`div-exp_binary64`
24×	`associate-/r*_binary64`
17×	`sqr-pow_binary64` `unpow-prod-down_binary64`
16×	`add-cbrt-cube_binary64`
13×	`pow1_binary64`
10×	`pow-exp_binary64`
8×	`prod-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow-to-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/r/_binary64` `associate-l_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 182

Calls

4 calls:

5.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
6.0ms	(.f64 (.f64 2.0 PI.f64) u2)
9.0ms	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
7.0ms	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))

series316.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
119.0ms	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
157.0ms	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))

simplify70.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5466	2541

prune239.0ms

Filtered

120 candidates to 194 candidates (-61.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	195	8	203

Merged error: 0b

Counts

203 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 2.0 PI.f64) u2)
0.2b	(log.f64 (.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0)))
0.3b	(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0))))
0.4b	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log_binary64`
23×	`prod-exp_binary64`
22×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `times-frac_binary64`
9×	`rem-log-exp_binary64`
8×	`div-exp_binary64` `pow-exp_binary64`
6×	`associate-l_binary64`
5×	`cbrt-unprod_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `unswap-sqr_binary64` `exp-prod_binary64`
3×	`pow-prod-down_binary64` `associate-*r/_binary64` `sqr-pow_binary64`
2×	`log-prod_binary64` `log-pow_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `exp-sum_binary64` `unpow-prod-down_binary64` `div-inv_binary64`

Counts

4 → 92

Calls

4 calls:

5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
6.0ms	(log.f64 (.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0)))
6.0ms	(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0))))
9.0ms	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0))

series400.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
157.0ms	(log.f64 (.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0)))
118.0ms	(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0))))
120.0ms	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (/.f64 1.0 6.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5541	1041

prune108.0ms

Filtered

69 candidates to 104 candidates (-50.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	104	8	112

Merged error: 0b

Counts

112 → 8

regimes374.0ms

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	27	21
1	27	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

778.0ms	8000×	body	80	valid
190.0ms	8000×	pre	80	true

Details

analyze136.0ms

sample43.0ms

simplify525.0ms

prune8.0ms

localize29.0ms

rewrite36.0ms

series284.0ms

simplify67.0ms

prune156.0ms

localize17.0ms

rewrite32.0ms

series270.0ms

simplify72.0ms

prune136.0ms

localize18.0ms

rewrite36.0ms

series316.0ms

simplify70.0ms

prune239.0ms

localize20.0ms

rewrite30.0ms

series400.0ms

simplify50.0ms

prune108.0ms

regimes374.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling