Details

analyze842.0ms

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

sample111.0ms

Algorithm

intervals

Results

33.0ms	489×	body	128	nan
21.0ms	256×	body	128	valid
18.0ms	219×	body	128	invalid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4922	24
1	4922	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: 0.2b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.8b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.0b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64` `add-exp-log_binary64`
10×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
8×	`associate-r_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`exp-prod_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `rem-exp-log_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `exp-sum_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 96

Calls

4 calls:

9.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
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))
13.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

series788.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
50.0ms	(*.f64 y (log.f64 z))
245.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
425.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5022	1779

prune95.0ms

Filtered

77 candidates to 108 candidates (-40.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 a (-.f64 t 1))
0.5b	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
0.8b	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
1.0b	(/.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
21×	`add-exp-log_binary64`
19×	`*-un-lft-identity_binary64`
15×	`unpow-prod-down_binary64`
13×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`
9×	`sqr-pow_binary64` `unswap-sqr_binary64`
8×	`associate-r_binary64`
7×	`pow-to-exp_binary64` `pow-unpow_binary64` `associate-l_binary64` `pow-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `exp-prod_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unpow-prod-up_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `pow-sub_binary64` `exp-sum_binary64` `div-exp_binary64`
1×	`associate-/l/_binary64` `diff-log_binary64` `log-prod_binary64` `pow-pow_binary64` `log-pow_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `associate--l+_binary64` `-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

5.0ms	(pow.f64 a (-.f64 t 1))
9.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
9.0ms	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
14.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) y)

series1.5s

Counts

4 → 12

Calls

4 calls:

83.0ms	(pow.f64 a (-.f64 t 1))
227.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
464.0ms	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
692.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4970	2171
1	4970	2171

prune99.0ms

Filtered

83 candidates to 118 candidates (-42.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	117	6	123

Merged error: 0.0b

Counts

123 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 a (-.f64 t 1))
0.5b	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
0.8b	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
1.0b	(.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) (/.f64 1 y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
31×	`add-exp-log_binary64`
24×	`*-un-lft-identity_binary64`
21×	`associate-r_binary64`
18×	`add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
15×	`unpow-prod-down_binary64`
11×	`pow1_binary64`
9×	`sqr-pow_binary64` `unswap-sqr_binary64` `times-frac_binary64`
8×	`associate-l_binary64`
7×	`pow-to-exp_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `pow-exp_binary64`
6×	`add-log-exp_binary64` `exp-prod_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `sub-neg_binary64` `exp-diff_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-undiv_binary64` `unpow-prod-up_binary64` `rem-exp-log_binary64` `pow-sub_binary64` `exp-sum_binary64` `rec-exp_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `log-prod_binary64` `pow-pow_binary64` `log-pow_binary64` `difference-of-sqr-1_binary64` `un-div-inv_binary64` `div-inv_binary64` `frac-times_binary64` `associate--l+_binary64` `associate-*l/_binary64`

Counts

4 → 122

Calls

4 calls:

5.0ms	(pow.f64 a (-.f64 t 1))
9.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
9.0ms	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
21.0ms	(.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) (/.f64 1 y))

series1.5s

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow.f64 a (-.f64 t 1))
226.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
459.0ms	(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))
704.0ms	(.f64 (.f64 x (exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))) b))) (/.f64 1 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5047	2588

prune106.0ms

Filtered

90 candidates to 134 candidates (-48.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	134	6	140

Merged error: 0.0b

Counts

140 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 b)))
0.2b	(pow.f64 a (-.f64 t 1))
0.5b	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
1.0b	(/.f64 (.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 b))) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-exp-log_binary64`
49×	`prod-exp_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`div-exp_binary64`
29×	`add-cbrt-cube_binary64`
19×	`pow-to-exp_binary64` `pow-exp_binary64`
18×	`*-un-lft-identity_binary64`
15×	`associate-r_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
10×	`associate-l_binary64` `unswap-sqr_binary64`
9×	`cbrt-unprod_binary64` `sqr-pow_binary64`
8×	`cbrt-undiv_binary64`
7×	`pow-unpow_binary64` `pow1_binary64`
6×	`times-frac_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `associate-r/_binary64`
2×	`sub-neg_binary64` `unpow-prod-up_binary64` `pow-sub_binary64` `difference-of-squares_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `pow-pow_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`

Counts

4 → 135

Calls

4 calls:

12.0ms	(.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 b)))
5.0ms	(pow.f64 a (-.f64 t 1))
9.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
16.0ms	(/.f64 (.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 b))) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

522.0ms	(.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 b)))
88.0ms	(pow.f64 a (-.f64 t 1))
235.0ms	(*.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1)))
571.0ms	(/.f64 (.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a (-.f64 t 1))) (exp.f64 b))) y)

simplify95.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4953	2958
1	4953	2958

prune104.0ms

Filtered

94 candidates to 147 candidates (-56.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	3	3
Picked	1	0	1
Done	1	1	2
Total	148	5	153

Merged error: 0b

Counts

153 → 5

regimes160.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	28
1	44	28

end0.0ms

sample3.2s

Algorithm

intervals

Results

974.0ms	14225×	body	128	nan
669.0ms	8000×	body	128	valid
567.0ms	6959×	body	128	invalid

Details

analyze842.0ms

sample111.0ms

simplify89.0ms

prune5.0ms

localize18.0ms

rewrite46.0ms

series788.0ms

simplify71.0ms

prune95.0ms

localize18.0ms

rewrite48.0ms

series1.5s

simplify72.0ms

prune99.0ms

localize15.0ms

rewrite58.0ms

series1.5s

simplify55.0ms

prune106.0ms

localize14.0ms

rewrite57.0ms

series1.4s

simplify95.0ms

prune104.0ms

regimes160.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling