Details

analyze822.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

sample94.0ms

Algorithm

intervals

Results

28.0ms	403×	body	80	nan
19.0ms	256×	body	80	valid
16.0ms	209×	body	80	invalid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5217	24

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))
0.3b	(*.f64 y (log.f64 z))
0.8b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.3b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
10×	`add-log-exp_binary64`
9×	`pow1_binary64` `associate-r_binary64`
6×	`log-prod_binary64` `associate-l_binary64`
5×	`exp-prod_binary64`
4×	`exp-sum_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate--l+_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `sum-log_binary64`

Counts

4 → 86

Calls

4 calls:

12.0ms	(.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))
5.0ms	(*.f64 y (log.f64 z))
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
12.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

series574.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))
34.0ms	(*.f64 y (log.f64 z))
134.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
228.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

simplify77.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5092	1855

prune105.0ms

Filtered

75 candidates to 98 candidates (-30.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.2b

Counts

100 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))
0.3b	(*.f64 y (log.f64 z))
0.8b	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.3b	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
24×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64` `add-cbrt-cube_binary64`
9×	`prod-exp_binary64`
8×	`pow1_binary64`
7×	`unpow-prod-down_binary64`
6×	`log-prod_binary64` `associate-l_binary64` `pow-exp_binary64`
5×	`pow-unpow_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `unpow-prod-up_binary64` `unswap-sqr_binary64`
3×	`pow-to-exp_binary64` `associate-/r*_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-sub_binary64` `e-exp-1_binary64` `times-frac_binary64`
2×	`sub-neg_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `associate--l+_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `pow-pow_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

4 → 102

Calls

4 calls:

9.0ms	(.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))
5.0ms	(*.f64 y (log.f64 z))
7.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
9.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

series629.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))
33.0ms	(*.f64 y (log.f64 z))
147.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
243.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

simplify85.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4973	2811
1	4973	2811

prune97.0ms

Filtered

75 candidates to 114 candidates (-52.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 y (log.f64 z))
0.7b	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
0.7b	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
1.3b	(/.f64 (.f64 (.f64 x (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
38×	`pow-unpow_binary64`
37×	`prod-exp_binary64`
33×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
22×	`pow-exp_binary64`
21×	`div-exp_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow-to-exp_binary64` `e-exp-1_binary64`
9×	`pow1_binary64`
6×	`log-prod_binary64` `div-sub_binary64` `pow-sub_binary64` `unpow-prod-down_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `div-inv_binary64`
2×	`pow-pow_binary64` `sqr-pow_binary64`
1×	`pow-prod-down_binary64` `log-pow_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

5.0ms	(*.f64 y (log.f64 z))
8.0ms	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
8.0ms	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
17.0ms	(/.f64 (.f64 (.f64 x (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) y)

series810.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 y (log.f64 z))
166.0ms	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
170.0ms	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
443.0ms	(/.f64 (.f64 (.f64 x (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) y)

simplify124.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4963	4125
1	4963	4125

prune194.0ms

Filtered

96 candidates to 151 candidates (-57.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	151	8	159

Merged error: 0.0b

Counts

159 → 8

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
0.9b	(pow.f64 (pow.f64 E.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) (sqrt.f64 2)))
1.0b	(/.f64 1 (sqrt.f64 2))
1.3b	(/.f64 (.f64 (.f64 x (pow.f64 (pow.f64 E.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) (sqrt.f64 2)))) (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-exp-log_binary64`
68×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
53×	`pow-unpow_binary64`
52×	`prod-exp_binary64`
50×	`add-cube-cbrt_binary64`
46×	`pow-exp_binary64`
31×	`div-exp_binary64`
27×	`sqrt-prod_binary64`
18×	`pow-to-exp_binary64`
15×	`add-cbrt-cube_binary64`
13×	`unpow-prod-down_binary64` `e-exp-1_binary64`
9×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`pow1_binary64`
6×	`div-sub_binary64` `pow-sub_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`associate-/l/_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `pow-flip_binary64`
2×	`pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow1/2_binary64` `1-exp_binary64` `sqrt-pow1_binary64` `inv-pow_binary64` `rec-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 188

Calls

4 calls:

8.0ms	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
11.0ms	(pow.f64 (pow.f64 E.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) (sqrt.f64 2)))
4.0ms	(/.f64 1 (sqrt.f64 2))
17.0ms	(/.f64 (.f64 (.f64 x (pow.f64 (pow.f64 E.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) (sqrt.f64 2)))) (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) y)

series1.2s

Counts

4 → 10

Calls

4 calls:

167.0ms	(pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))
244.0ms	(pow.f64 (pow.f64 E.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) (sqrt.f64 2)))
0.0ms	(/.f64 1 (sqrt.f64 2))
766.0ms	(/.f64 (.f64 (.f64 x (pow.f64 (pow.f64 E.f64 (/.f64 1 (sqrt.f64 2))) (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) (sqrt.f64 2)))) (pow.f64 E.f64 (/.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b) 2))) y)

simplify104.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5115	6716

prune306.0ms

Filtered

111 candidates to 198 candidates (-78.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	198	8	206

Merged error: 0.0b

Counts

206 → 8

regimes198.0ms

Accuracy

0% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	73
1	56	73

end0.0ms

sample3.2s

Algorithm

intervals

Results

957.0ms	14333×	body	80	nan
631.0ms	8000×	body	80	valid
564.0ms	7287×	body	80	invalid

Details

analyze822.0ms

sample94.0ms

simplify75.0ms

prune5.0ms

localize16.0ms

rewrite38.0ms

series574.0ms

simplify77.0ms

prune105.0ms

localize17.0ms

rewrite34.0ms

series629.0ms

simplify85.0ms

prune97.0ms

localize20.0ms

rewrite44.0ms

series810.0ms

simplify124.0ms

prune194.0ms

localize34.0ms

rewrite50.0ms

series1.2s

simplify104.0ms

prune306.0ms

regimes198.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample3.2s

Profiling