Details

analyze492.0ms (6.3%)

Algorithm

1×

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

Compiler

Compiled 16 to 15 computations (6.3% saved)

sample101.0ms (1.3%)

Algorithm

1×

intervals

Results

20.0ms	42×	body	1024	valid
20.0ms	64×	body	1024	invalid
13.0ms	42×	body	512	valid
10.0ms	143×	body	128	valid
9.0ms	116×	body	128	invalid
5.0ms	23×	body	512	invalid
4.0ms	26×	body	256	valid
2.0ms	3×	body	2048	valid
2.0ms	12×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify259.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4774	24
1	4774	24

prune3.0ms (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: 15.5b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
5.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_789`
13×	`*-un-lft-identity_binary64_767`
10×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
9×	`associate-r_binary64_707` `cancel-sign-sub-inv_binary64_733` `add-cube-cbrt_binary64_802`
5×	`add-log-exp_binary64_806`
4×	`associate-l_binary64_708` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `distribute-rgt-in_binary64_717` `associate-*r/_binary64_709` `distribute-lft-in_binary64_716` `pow-prod-down_binary64_838`
3×	`sub-neg_binary64_760` `flip--_binary64_742` `flip3--_binary64_771`
2×	`-commutative_binary64_698` `distribute-lft-out--_binary64_719` `2sinh-undef_binary64_962` `associate-l/_binary64_710` `difference-of-squares_binary64_736`
1×	`unswap-sqr_binary64_735` `diff-log_binary64_859`

Counts

3 → 68

Calls

3 calls:

11.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
9.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series356.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

209.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
108.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
39.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4910	1264
1	4910	1264

prune81.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	1	78

Merged error: 0.0b

Counts

78 → 1

Compiler

Compiled 1601 to 715 computations (55.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
9×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
5×	`add-log-exp_binary64_806` `add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708` `associate-r_binary64_707` `associate-*r/_binary64_709`
2×	`*-commutative_binary64_698` `sinh-def_binary64_952`
1×	`flip-+_binary64_741` `+-commutative_binary64_697` `sum-log_binary64_858` `associate-*l/_binary64_710` `flip3-+_binary64_770`

Counts

3 → 52

Calls

3 calls:

9.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
9.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

series825.0ms (10.5%)

Counts

3 → 9

Calls

3 calls:

436.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
249.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
140.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4977	1057
1	4977	1057

prune105.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.0b

Counts

62 → 6

Compiler

Compiled 1789 to 1328 computations (25.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
9×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
5×	`add-log-exp_binary64_806` `add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708` `associate-r_binary64_707`
3×	`associate-*r/_binary64_709`
2×	`-commutative_binary64_698` `associate-l/_binary64_710` `sinh-def_binary64_952`
1×	`flip-+_binary64_741` `+-commutative_binary64_697` `sum-log_binary64_858` `flip3-+_binary64_770`

Counts

3 → 52

Calls

3 calls:

9.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
9.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

series834.0ms (10.6%)

Counts

3 → 9

Calls

3 calls:

443.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
237.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
155.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5032	1174

prune109.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

Compiler

Compiled 1903 to 1410 computations (25.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
0.4b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.4b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.4b	(cbrt.f64 (cos.f64 (/.f64 K 2)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_798`
23×	`add-sqr-sqrt_binary64_789`
15×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
11×	`pow1_binary64_828`
9×	`pow1/3_binary64_849`
6×	`associate-l_binary64_708` `associate-r_binary64_707` `swap-sqr_binary64_734` `add-exp-log_binary64_805`
4×	`unswap-sqr_binary64_735` `add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
2×	`pow-prod-up_binary64_837` `pow-prod-down_binary64_838` `pow-sqr_binary64_740`
1×	`pow2_binary64_848` `cbrt-unprod_binary64_800` `pow-plus_binary64_830` `prod-exp_binary64_816` `*-commutative_binary64_698`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.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)))

series587.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
135.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
129.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
121.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4874	1101
1	4874	1101

prune146.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

Compiler

Compiled 2632 to 2008 computations (23.7% saved)

regimes104.0ms (1.3%)

Compiler: Compiled 862 to 790 computations (8.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

end0.0ms (0%)

sample3.4s (43.5%)

Algorithm

1×

intervals

Results

813.0ms	1698×	body	1024	valid
613.0ms	1930×	body	1024	invalid
318.0ms	4317×	body	128	valid
313.0ms	1221×	body	512	valid
258.0ms	3491×	body	128	invalid
225.0ms	1034×	body	512	invalid
109.0ms	690×	body	256	valid
63.0ms	448×	body	256	invalid
56.0ms	74×	body	2048	valid

Compiler

Compiled 169 to 154 computations (8.9% saved)

Details

analyze492.0ms (6.3%)

sample101.0ms (1.3%)

simplify259.0ms (3.3%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite35.0ms (0.4%)

series356.0ms (4.5%)

simplify64.0ms (0.8%)

prune81.0ms (1%)

localize11.0ms (0.1%)

rewrite29.0ms (0.4%)

series825.0ms (10.5%)

simplify65.0ms (0.8%)

prune105.0ms (1.3%)

localize11.0ms (0.1%)

rewrite29.0ms (0.4%)

series834.0ms (10.6%)

simplify64.0ms (0.8%)

prune109.0ms (1.4%)

localize17.0ms (0.2%)

rewrite19.0ms (0.2%)

series587.0ms (7.5%)

simplify77.0ms (1%)

prune146.0ms (1.9%)

regimes104.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (43.5%)

Profiling