Details

analyze502.0ms (5.9%)

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)

sample93.0ms (1.1%)

Algorithm

1×

intervals

Results

25.0ms	54×	body	1024	valid
16.0ms	51×	body	1024	invalid
10.0ms	143×	body	128	valid
8.0ms	34×	body	512	valid
6.0ms	92×	body	128	invalid
6.0ms	29×	body	512	invalid
3.0ms	22×	body	256	valid
2.0ms	3×	body	2048	valid
1.0ms	11×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify261.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

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: 15.6b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 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 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)))
4.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite52.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_789`
14×	`*-un-lft-identity_binary64_767`
11×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
10×	`add-cube-cbrt_binary64_802`
9×	`associate-r_binary64_707` `cancel-sign-sub-inv_binary64_733`
8×	`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` `flip-+_binary64_741` `diff-log_binary64_859` `+-commutative_binary64_697` `sum-log_binary64_858` `flip3-+_binary64_770`

Counts

4 → 79

Calls

4 calls:

16.0ms	(+.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)))
10.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
7.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series761.0ms (9%)

Counts

4 → 12

Calls

4 calls:

430.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
198.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
93.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
39.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5030	1710

prune96.0ms (1.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	1	92

Merged error: 0.0b

Counts

92 → 1

Compiler

Compiled 1937 to 863 computations (55.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 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)
0.0b	(.f64 J (.f64 2 (sinh.f64 l)))
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`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`
6×	`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`
3×	`sinh-def_binary64_952`
2×	`*-commutative_binary64_698`
1×	`flip-+_binary64_741` `+-commutative_binary64_697` `sum-log_binary64_858` `associate-*l/_binary64_710` `flip3-+_binary64_770`

Counts

4 → 60

Calls

4 calls:

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

series884.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

437.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
244.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
133.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
69.0ms	(sinh.f64 l)

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4955	1143
1	4955	1143

prune97.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

Compiler

Compiled 1640 to 1182 computations (27.9% saved)

localize11.0ms (0.1%)

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 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)))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`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`
6×	`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` `sinh-def_binary64_952`
2×	`-commutative_binary64_698` `associate-l/_binary64_710`
1×	`flip-+_binary64_741` `+-commutative_binary64_697` `sum-log_binary64_858` `flip3-+_binary64_770`

Counts

4 → 60

Calls

4 calls:

10.0ms	(+.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))))
7.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
1.0ms	(sinh.f64 l)

series858.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

416.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
235.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
142.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
65.0ms	(sinh.f64 l)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4941	1260
1	4941	1260

prune313.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

Compiler

Compiled 1894 to 1417 computations (25.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
0.6b	(cbrt.f64 J)
0.6b	(cbrt.f64 J)
0.6b	(cbrt.f64 J)

rewrite18.0ms (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 J) (cbrt.f64 J))
1.0ms	(cbrt.f64 J)
1.0ms	(cbrt.f64 J)
1.0ms	(cbrt.f64 J)

series629.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
161.0ms	(cbrt.f64 J)
147.0ms	(cbrt.f64 J)
144.0ms	(cbrt.f64 J)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5245	563

prune117.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0b

Counts

90 → 6

Compiler

Compiled 2274 to 1318 computations (42% saved)

regimes99.0ms (1.2%)

Compiler: Compiled 646 to 628 computations (2.8% 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%)

sample3.3s (39.1%)

Algorithm

1×

intervals

Results

772.0ms	1627×	body	1024	valid
618.0ms	1990×	body	1024	invalid
327.0ms	4460×	body	128	valid
298.0ms	1176×	body	512	valid
244.0ms	3362×	body	128	invalid
212.0ms	1005×	body	512	invalid
106.0ms	679×	body	256	valid
71.0ms	505×	body	256	invalid
41.0ms	58×	body	2048	valid

Compiler

Compiled 133 to 127 computations (4.5% saved)

Details

analyze502.0ms (5.9%)

sample93.0ms (1.1%)

simplify261.0ms (3.1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite52.0ms (0.6%)

series761.0ms (9%)

simplify70.0ms (0.8%)

prune96.0ms (1.1%)

localize11.0ms (0.1%)

rewrite32.0ms (0.4%)

series884.0ms (10.4%)

simplify45.0ms (0.5%)

prune97.0ms (1.1%)

localize11.0ms (0.1%)

rewrite32.0ms (0.4%)

series858.0ms (10.1%)

simplify82.0ms (1%)

prune313.0ms (3.7%)

localize15.0ms (0.2%)

rewrite18.0ms (0.2%)

series629.0ms (7.4%)

simplify54.0ms (0.6%)

prune117.0ms (1.4%)

regimes99.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (39.1%)

Profiling