Details

analyze737.0ms

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

sample136.0ms

Algorithm

intervals

Results

77.0ms	25×	body	2560	valid
27.0ms	48×	body	1280	valid
9.0ms	32×	body	640	valid
7.0ms	136×	body	80	valid
3.0ms	15×	body	320	valid
0.0ms	7×	body	80	invalid

simplify476.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	671	14
1	671	14

prune4.0ms

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: 13.9b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
3.2b	(.f64 (/.f64 1.0 (.f64 F F)) (tan.f64 (*.f64 PI.f64 l)))
28.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
10.0ms	(.f64 (/.f64 1.0 (.f64 F F)) (tan.f64 (*.f64 PI.f64 l)))
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series72.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
42.0ms	(.f64 (/.f64 1.0 (.f64 F F)) (tan.f64 (*.f64 PI.f64 l)))
22.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5164	658

prune137.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	70	16	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	16	87

Merged error: 10.5b

Counts

87 → 16

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1.0 F))
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
28.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

8.0ms	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1.0 F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series39.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 1.0 F))
3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
10.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4946	657
1	4946	657

prune137.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	4	11	15
Picked	0	1	1
Done	0	0	0
Total	86	20	106

Merged error: 10.4b

Counts

106 → 20

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 1 F) (/.f64 (.f64 (tan.f64 (*.f64 PI.f64 l)) 1.0) F))
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
28.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log_binary64`
29×	`add-cbrt-cube_binary64`
28×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
18×	`*-un-lft-identity_binary64` `prod-exp_binary64`
17×	`add-cube-cbrt_binary64`
14×	`times-frac_binary64` `div-exp_binary64`
13×	`associate-r_binary64`
10×	`pow1_binary64` `cbrt-unprod_binary64`
7×	`cbrt-undiv_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `1-exp_binary64` `rec-exp_binary64` `*-commutative_binary64`
2×	`div-inv_binary64`
1×	`associate-r/_binary64` `frac-times_binary64` `tan-quot_binary64` `associate-l/_binary64`

Counts

4 → 97

Calls

4 calls:

13.0ms	(.f64 (/.f64 1 F) (/.f64 (.f64 (tan.f64 (*.f64 PI.f64 l)) 1.0) F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series44.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (/.f64 1 F) (/.f64 (.f64 (tan.f64 (*.f64 PI.f64 l)) 1.0) F))
3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
11.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4945	938
1	4945	938

prune126.0ms

Filtered

67 candidates to 109 candidates (-62.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	3	15	18
Picked	1	0	1
Done	0	1	1
Total	111	18	129

Merged error: 10.4b

Counts

129 → 18

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (.f64 (tan.f64 (.f64 PI.f64 l)) 1.0) F)
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
28.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite18.0ms

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×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_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` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `associate-l/_binary64`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (.f64 (tan.f64 (.f64 PI.f64 l)) 1.0) F)
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series39.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 (.f64 (tan.f64 (.f64 PI.f64 l)) 1.0) F)
3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
10.0ms	(tan.f64 (*.f64 PI.f64 l))

simplify49.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5091	520

prune65.0ms

Filtered

54 candidates to 78 candidates (-44.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	3	13	16
Picked	0	1	1
Done	1	0	1
Total	78	18	96

Merged error: 10.4b

Counts

96 → 18

regimes508.0ms

Accuracy

0% (0.2b remaining)

Error of 11.9b against oracle of 11.7b and baseline of 11.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	14
1	52	14

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.4s	777×	body	2560	valid
979.0ms	1671×	body	1280	valid
278.0ms	994×	body	640	valid
209.0ms	3996×	body	80	valid
66.0ms	374×	body	320	valid
23.0ms	188×	body	160	valid
10.0ms	183×	body	80	invalid
4.0ms	2×	body	2560	invalid
0.0ms	1×	body	1280	invalid

Details

analyze737.0ms

sample136.0ms

simplify476.0ms

prune4.0ms

localize11.0ms

rewrite23.0ms

series72.0ms

simplify54.0ms

prune137.0ms

localize10.0ms

rewrite20.0ms

series39.0ms

simplify54.0ms

prune137.0ms

localize10.0ms

rewrite26.0ms

series44.0ms

simplify59.0ms

prune126.0ms

localize10.0ms

rewrite18.0ms

series39.0ms

simplify49.0ms

prune65.0ms

regimes508.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.2s

Profiling