Details

analyze356.0ms (11.9%)

Algorithm

1×

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
12.5%	87.4%	0.1%	4
18.7%	81.1%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	78%	0.1%	7
27.3%	61.6%	11.1%	8
28.5%	60.5%	11.1%	9
32.6%	53.4%	14%	10
40.2%	38.1%	21.7%	11
41.8%	35.8%	22.4%	12
44.5%	29.2%	26.3%	13
47.1%	21.3%	31.6%	14

sample29.0ms (1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	212×	body	80	invalid

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5057	8

prune6.0ms (0.2%)

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: 6.5b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
6.1b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `cosh-def_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-l*_binary64`
2×	`associate-r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
1.0ms	(cosh.f64 x)

series58.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
19.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	(cosh.f64 x)

simplify233.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4959	631
1	4959	631

prune100.0ms (3.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
5.0b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `pow1_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64` `cosh-def_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

9.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
4.0ms	(*.f64 (cosh.f64 x) y)
1.0ms	(cosh.f64 x)

series55.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
16.0ms	(*.f64 (cosh.f64 x) y)
7.0ms	(cosh.f64 x)

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5005	432

prune71.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
0.3b	(/.f64 1 (*.f64 x z))
5.2b	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
31×	`prod-exp_binary64`
14×	`pow1_binary64`
13×	`cbrt-unprod_binary64`
12×	`add-sqr-sqrt_binary64` `div-exp_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `times-frac_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `cosh-def_binary64` `associate-*l/_binary64`
3×	`associate-/l*_binary64`
2×	`div-inv_binary64` `pow-flip_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `frac-times_binary64`

Counts

4 → 97

Calls

4 calls:

10.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))
5.0ms	(/.f64 1 (*.f64 x z))
4.0ms	(*.f64 (cosh.f64 x) y)
1.0ms	(cosh.f64 x)

series61.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))
16.0ms	(*.f64 (cosh.f64 x) y)
10.0ms	(cosh.f64 x)
3.0ms	(/.f64 1 (*.f64 x z))

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5065	757

prune116.0ms (3.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0b

Counts

115 → 8

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.8b	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
5.6b	(/.f64 x (/.f64 y z))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64`
230×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
57×	`associate-/r*_binary64`
22×	`div-inv_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `cosh-def_binary64`
1×	`associate-/l/_binary64`

Counts

3 → 275

Calls

3 calls:

13.0ms	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
6.0ms	(/.f64 x (/.f64 y z))
1.0ms	(cosh.f64 x)

series50.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
7.0ms	(cosh.f64 x)
7.0ms	(/.f64 x (/.f64 y z))

simplify91.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4955	4325
1	4955	4325

prune240.0ms (8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	285	7	292

Merged error: 0b

Counts

292 → 7

regimes316.0ms (10.6%)

Accuracy

Total 1.2b remaining (94.9%)

Threshold costs 0b (0%)

bsearch59.0ms (2%)

Steps

Iters	Range		Point
10	1.6541372332231588e-151	1.9279827980944672e-141	1.906593198200087e-141
8	-6.88802080396762e+15	-2601360549598.698	-48252226705934.2

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	27
1	26	27

end0.0ms (0%)

sample845.0ms (28.3%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	80	valid
244.0ms	7168×	body	80	invalid

Details

analyze356.0ms (11.9%)

sample29.0ms (1%)

simplify70.0ms (2.4%)

prune6.0ms (0.2%)

localize9.0ms (0.3%)

rewrite17.0ms (0.6%)

series58.0ms (1.9%)

simplify233.0ms (7.8%)

prune100.0ms (3.3%)

localize7.0ms (0.2%)

rewrite15.0ms (0.5%)

series55.0ms (1.8%)

simplify50.0ms (1.7%)

prune71.0ms (2.4%)

localize8.0ms (0.3%)

rewrite24.0ms (0.8%)

series61.0ms (2.1%)

simplify53.0ms (1.8%)

prune116.0ms (3.9%)

localize6.0ms (0.2%)

rewrite37.0ms (1.2%)

series50.0ms (1.7%)

simplify91.0ms (3.1%)

prune240.0ms (8%)

regimes316.0ms (10.6%)

bsearch59.0ms (2%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample845.0ms (28.3%)

Profiling