Details

analyze503.0ms (6.5%)

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)

sample107.0ms (1.4%)

Algorithm

1×

intervals

Results

27.0ms	54×	body	1024	valid
22.0ms	70×	body	1024	invalid
11.0ms	149×	body	128	valid
8.0ms	32×	body	512	valid
8.0ms	106×	body	128	invalid
5.0ms	24×	body	512	invalid
3.0ms	22×	body	256	invalid
3.0ms	18×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify252.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

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: 15.4b

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)))

rewrite34.0ms (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)))
10.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series337.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

191.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
97.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
48.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4910	1264
1	4910	1264

prune78.0ms (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)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`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`
4×	`associate-l_binary64_708` `associate-r_binary64_707` `add-sqr-sqrt_binary64_789` `-un-lft-identity_binary64_767` `associate-r/_binary64_709` `add-cube-cbrt_binary64_802`
2×	`*-commutative_binary64_698` `add-log-exp_binary64_806` `sinh-def_binary64_952`
1×	`associate-*l/_binary64_710`

Counts

2 → 41

Calls

2 calls:

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

series352.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

228.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
123.0ms	(.f64 J (.f64 2 (sinh.f64 l)))

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4974	676
1	4974	676

prune68.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

Compiler

Compiled 1091 to 803 computations (26.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`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`
4×	`associate-l_binary64_708` `associate-r_binary64_707` `add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
3×	`associate-*r/_binary64_709`
2×	`-commutative_binary64_698` `add-log-exp_binary64_806` `associate-l/_binary64_710` `sinh-def_binary64_952`

Counts

2 → 41

Calls

2 calls:

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)))

series366.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

216.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
150.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5072	793

prune43.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Merged error: 0b

Counts

50 → 3

Compiler

Compiled 811 to 545 computations (32.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
13.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
13.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
13.4b	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-*r/_binary64_709`
11×	`pow1_binary64_828`
10×	`add-sqr-sqrt_binary64_789`
9×	`pow1/3_binary64_849`
8×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
7×	`cbrt-div_binary64_799` `cbrt-prod_binary64_798` `sinh-def_binary64_952`
6×	`add-exp-log_binary64_805`
4×	`associate-l_binary64_708` `associate-r_binary64_707` `swap-sqr_binary64_734` `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` `frac-times_binary64_777` `unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `pow-plus_binary64_830` `prod-exp_binary64_816` `-commutative_binary64_698` `associate-l/_binary64_710`

Counts

4 → 64

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
5.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
5.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
4.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

series1.8s (22.7%)

Counts

4 → 12

Calls

4 calls:

584.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l)))) (cbrt.f64 (.f64 J (*.f64 2 (sinh.f64 l)))))
408.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
392.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))
386.0ms	(cbrt.f64 (.f64 J (.f64 2 (sinh.f64 l))))

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4858	1120
1	4858	1120

prune119.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 2443 to 1627 computations (33.4% saved)

regimes66.0ms (0.8%)

Compiler: Compiled 358 to 358 computations (0% 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 (42.2%)

Algorithm

1×

intervals

Results

775.0ms	1612×	body	1024	valid
633.0ms	1937×	body	1024	invalid
328.0ms	4452×	body	128	valid
309.0ms	1202×	body	512	valid
242.0ms	3364×	body	128	invalid
210.0ms	954×	body	512	invalid
109.0ms	673×	body	256	valid
70.0ms	485×	body	256	invalid
45.0ms	61×	body	2048	valid

Compiler

Compiled 85 to 82 computations (3.5% saved)

Details

analyze503.0ms (6.5%)

sample107.0ms (1.4%)

simplify252.0ms (3.2%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite34.0ms (0.4%)

series337.0ms (4.3%)

simplify66.0ms (0.9%)

prune78.0ms (1%)

localize13.0ms (0.2%)

rewrite19.0ms (0.2%)

series352.0ms (4.5%)

simplify69.0ms (0.9%)

prune68.0ms (0.9%)

localize11.0ms (0.1%)

rewrite19.0ms (0.2%)

series366.0ms (4.7%)

simplify55.0ms (0.7%)

prune43.0ms (0.6%)

localize17.0ms (0.2%)

rewrite29.0ms (0.4%)

series1.8s (22.7%)

simplify88.0ms (1.1%)

prune119.0ms (1.5%)

regimes66.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (42.2%)

Profiling