Details

analyze509.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

sample121.0ms

Algorithm

intervals

Results

27.0ms	46×	body	1280	valid
18.0ms	54×	body	640	valid
17.0ms	39×	body	1280	invalid
12.0ms	44×	body	640	invalid
9.0ms	134×	body	80	invalid
7.0ms	114×	body	80	valid
5.0ms	25×	body	320	valid
4.0ms	21×	body	320	invalid
2.0ms	17×	body	160	valid
0.0ms	3×	body	160	invalid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4814	15
1	4814	15

prune3.0ms

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: 18.5b

Counts

2 → 1

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

0.0b

(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

5.3b

(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `flip--_binary64` `associate-l/_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `sinh-undef_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

11.0ms

(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

11.0ms

(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

6.0ms

(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series75.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms

(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

22.0ms

(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

5.0ms

(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify47.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4975	746
1	4975	746

prune40.0ms

Filtered

42 candidates to 54 candidates (-28.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Merged error: 0.1b

Counts

55 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
0.0b	(sinh.f64 l)
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
2×	`sinh-def_binary64` `associate-*r/_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 41

Calls

3 calls:

9.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
1.0ms	(sinh.f64 l)
8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

series82.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
7.0ms	(sinh.f64 l)
27.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

simplify36.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5720	589

prune50.0ms

Filtered

36 candidates to 50 candidates (-38.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
0.0b	(sinh.f64 l)
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
3×	`sinh-def_binary64` `associate-*r/_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 60

Calls

4 calls:

10.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
1.0ms	(sinh.f64 l)
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
8.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
8.0ms	(sinh.f64 l)
19.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
26.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))

simplify34.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5308	806

prune53.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
14.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
14.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
14.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5107	681

prune69.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

regimes325.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample3.5s

Algorithm

intervals

Results

725.0ms	1252×	body	1280	valid
588.0ms	1541×	body	1280	invalid
477.0ms	1389×	body	640	valid
325.0ms	1223×	body	640	invalid
281.0ms	4074×	body	80	valid
226.0ms	3376×	body	80	invalid
182.0ms	826×	body	320	valid
117.0ms	584×	body	320	invalid
64.0ms	459×	body	160	valid
45.0ms	315×	body	160	invalid

Details

analyze509.0ms

sample121.0ms

simplify66.0ms

prune3.0ms

localize16.0ms

rewrite28.0ms

series75.0ms

simplify47.0ms

prune40.0ms

localize11.0ms

rewrite20.0ms

series82.0ms

simplify36.0ms

prune50.0ms

localize11.0ms

rewrite28.0ms

series100.0ms

simplify34.0ms

prune53.0ms

localize17.0ms

rewrite12.0ms

series64.0ms

simplify54.0ms

prune69.0ms

regimes325.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.5s

Profiling