Details

analyze703.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12
39.9%	55.9%	4.2%	13
40.2%	54.9%	4.9%	14

sample134.0ms

Algorithm

intervals

Results

76.0ms	25×	body	2560	valid
30.0ms	50×	body	1280	valid
8.0ms	28×	body	640	valid
7.0ms	137×	body	80	valid
1.0ms	8×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	7×	body	80	invalid

simplify423.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	298	12
1	298	12

prune10.0ms

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: 13.3b

Counts

2 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
3.0b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
27.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64` `tan-quot_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 66

Calls

4 calls:

4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
8.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series50.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
23.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
21.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify59.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5225	541

prune82.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	64	14	78
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	65	15	80

Merged error: 10.1b

Counts

80 → 15

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.4b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
27.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

396×	`times-frac_binary64`
197×	`add-sqr-sqrt_binary64`
193×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
44×	`associate-/r*_binary64`
29×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64` `div-inv_binary64`
15×	`div-exp_binary64`
9×	`pow1_binary64`
6×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64`
5×	`associate-/r/_binary64`
4×	`add-log-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64` `tan-quot_binary64`

Counts

4 → 248

Calls

4 calls:

4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
13.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series36.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
21.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
10.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify85.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5070	3868

prune116.0ms

Filtered

145 candidates to 260 candidates (-79.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	257	3	260
Fresh	3	11	14
Picked	0	1	1
Done	0	0	0
Total	260	15	275

Merged error: 10.1b

Counts

275 → 15

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))
0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
27.8b	(tan.f64 (*.f64 PI.f64 l))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64`
25×	`times-frac_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
19×	`associate-r_binary64` `associate-l_binary64`
10×	`pow1_binary64` `prod-exp_binary64`
8×	`unswap-sqr_binary64` `div-exp_binary64`
6×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `div-inv_binary64`
1×	`associate-r/_binary64` `frac-times_binary64` `tan-quot_binary64` `associate-l/_binary64`

Counts

4 → 100

Calls

4 calls:

11.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series36.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))
3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
9.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5244	891

prune64.0ms

Filtered

73 candidates to 112 candidates (-53.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	111	16	127

Merged error: 10.1b

Counts

127 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 PI.f64 l))
0.6b	(cbrt.f64 (*.f64 PI.f64 l))
0.6b	(cbrt.f64 (*.f64 PI.f64 l))
27.5b	(tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 l)) (cbrt.f64 (.f64 PI.f64 l))) (cbrt.f64 (*.f64 PI.f64 l))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
1×	`tan-quot_binary64`

Counts

4 → 35

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 PI.f64 l))
3.0ms	(cbrt.f64 (*.f64 PI.f64 l))
3.0ms	(cbrt.f64 (*.f64 PI.f64 l))
5.0ms	(tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 l)) (cbrt.f64 (.f64 PI.f64 l))) (cbrt.f64 (*.f64 PI.f64 l))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 (*.f64 PI.f64 l))
23.0ms	(cbrt.f64 (*.f64 PI.f64 l))
22.0ms	(cbrt.f64 (*.f64 PI.f64 l))
13.0ms	(tan.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 l)) (cbrt.f64 (.f64 PI.f64 l))) (cbrt.f64 (*.f64 PI.f64 l))))

simplify62.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5059	269

prune29.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	1	12	13
Picked	0	1	1
Done	0	2	2
Total	46	17	63

Merged error: 10.1b

Counts

63 → 17

regimes252.0ms

Accuracy

0% (0.3b remaining)

Error of 12.9b against oracle of 12.7b and baseline of 12.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	14
1	32	14

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.6s	870×	body	2560	valid
948.0ms	1646×	body	1280	valid
283.0ms	1021×	body	640	valid
194.0ms	3867×	body	80	valid
68.0ms	393×	body	320	valid
24.0ms	203×	body	160	valid
9.0ms	167×	body	80	invalid
4.0ms	2×	body	2560	invalid
3.0ms	6×	body	1280	invalid
1.0ms	3×	body	5120	exit

Details

analyze703.0ms

sample134.0ms

simplify423.0ms

prune10.0ms

localize32.0ms

rewrite22.0ms

series50.0ms

simplify59.0ms

prune82.0ms

localize9.0ms

rewrite42.0ms

series36.0ms

simplify85.0ms

prune116.0ms

localize9.0ms

rewrite25.0ms

series36.0ms

simplify49.0ms

prune64.0ms

localize14.0ms

rewrite13.0ms

series78.0ms

simplify62.0ms

prune29.0ms

regimes252.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.3s

Profiling