Details

analyze550.0ms (8.7%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample77.0ms (1.2%)

Algorithm

1×

intervals

Results

22.0ms	65×	body	1024	invalid
21.0ms	71×	body	1024	valid
8.0ms	141×	body	128	valid
6.0ms	34×	body	512	invalid
5.0ms	28×	body	512	valid
2.0ms	16×	body	256	valid
2.0ms	25×	body	128	invalid
2.0ms	14×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify251.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4909	11
1	4909	11

prune2.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_13915`
19×	`times-frac_binary64_13900`
18×	`*-un-lft-identity_binary64_13894` `add-cube-cbrt_binary64_13926`
13×	`associate-r_binary64_13836`
9×	`add-exp-log_binary64_13929` `add-cbrt-cube_binary64_13927`
4×	`pow1_binary64_13952`
3×	`associate-/l_binary64_13841` `associate-/r_binary64_13840` `associate-l_binary64_13837`
2×	`cbrt-undiv_binary64_13925` `div-inv_binary64_13891` `div-exp_binary64_13942` `add-log-exp_binary64_13930` `prod-exp_binary64_13940` `cosh-def_binary64_14077` `cbrt-unprod_binary64_13924` `unswap-sqr_binary64_13862`
1×	`frac-times_binary64_13904` `associate-l/_binary64_13839` `associate-r/_binary64_13838` `*-commutative_binary64_13827` `pow-prod-down_binary64_13962` `frac-2neg_binary64_13905` `clear-num_binary64_13893`

Counts

2 → 61

Calls

2 calls:

8.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

series191.0ms (3%)

Counts

2 → 6

Calls

2 calls:

149.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
41.0ms	(/.f64 (sin.f64 y) y)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4961	897
1	4961	897

prune55.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	59	8	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

Compiler

Compiled 942 to 260 computations (72.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64_13900`
103×	`add-sqr-sqrt_binary64_13915`
91×	`*-un-lft-identity_binary64_13894`
89×	`add-cube-cbrt_binary64_13926`
44×	`associate-r_binary64_13836`
35×	`add-exp-log_binary64_13929`
19×	`add-cbrt-cube_binary64_13927`
16×	`associate-/r*_binary64_13840`
15×	`div-exp_binary64_13942`
10×	`div-inv_binary64_13891`
7×	`cbrt-undiv_binary64_13925` `prod-exp_binary64_13940`
6×	`pow1_binary64_13952` `associate-/l*_binary64_13841`
5×	`unswap-sqr_binary64_13862`
4×	`1-exp_binary64_13935` `rec-exp_binary64_13941`
3×	`add-log-exp_binary64_13930` `cbrt-unprod_binary64_13924` `associate-l_binary64_13837`
2×	`associate-/r/_binary64_13842` `cosh-def_binary64_14077` `frac-2neg_binary64_13905` `clear-num_binary64_13893`
1×	`frac-times_binary64_13904` `inv-pow_binary64_13976` `un-div-inv_binary64_13892` `associate-l/_binary64_13839` `associate-r/_binary64_13838` `*-commutative_binary64_13827` `pow-prod-down_binary64_13962` `pow-flip_binary64_13965`

Counts

3 → 178

Calls

3 calls:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series250.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

156.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
52.0ms	(/.f64 y (sin.f64 y))
41.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4937	2855
1	4937	2855

prune145.0ms (2.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	183	4	187
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	186	10	196

Merged error: 0.0b

Counts

196 → 10

Compiler

Compiled 2967 to 942 computations (68.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
0.1b	(/.f64 1 (sin.f64 y))
0.2b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

rewrite151.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

854×	`times-frac_binary64_13900`
426×	`add-sqr-sqrt_binary64_13915`
397×	`*-un-lft-identity_binary64_13894`
391×	`add-cube-cbrt_binary64_13926`
174×	`associate-r_binary64_13836`
105×	`add-exp-log_binary64_13929`
66×	`div-exp_binary64_13942`
57×	`div-inv_binary64_13891`
35×	`add-cbrt-cube_binary64_13927`
17×	`cbrt-undiv_binary64_13925` `1-exp_binary64_13935` `prod-exp_binary64_13940` `rec-exp_binary64_13941`
16×	`associate-/l_binary64_13841` `associate-/r_binary64_13840`
10×	`unswap-sqr_binary64_13862`
6×	`pow1_binary64_13952`
5×	`cbrt-unprod_binary64_13924`
3×	`add-log-exp_binary64_13930` `associate-l_binary64_13837`
2×	`associate-/r/_binary64_13842` `cosh-def_binary64_14077` `frac-2neg_binary64_13905` `clear-num_binary64_13893`
1×	`frac-times_binary64_13904` `inv-pow_binary64_13976` `associate-l/_binary64_13839` `associate-r/_binary64_13838` `*-commutative_binary64_13827` `pow-prod-down_binary64_13962` `associate-/l/_binary64_13843` `pow-flip_binary64_13965`

Counts

3 → 479

Calls

3 calls:

58.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
13.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
4.0ms	(/.f64 1 (sin.f64 y))

series210.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

140.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
36.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
34.0ms	(/.f64 1 (sin.f64 y))

simplify160.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4933	9670
1	4933	9670

prune496.0ms (7.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	486	2	488
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	488	10	498

Merged error: 0.0b

Counts

498 → 10

Compiler

Compiled 9485 to 4376 computations (53.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_13922`
81×	`add-sqr-sqrt_binary64_13915`
69×	`times-frac_binary64_13900`
57×	`*-un-lft-identity_binary64_13894` `add-cube-cbrt_binary64_13926`
16×	`associate-r_binary64_13836` `swap-sqr_binary64_13861` `associate-l_binary64_13837`
11×	`pow1_binary64_13952`
9×	`pow1/3_binary64_13973` `unswap-sqr_binary64_13862`
7×	`div-inv_binary64_13891` `cbrt-div_binary64_13923`
6×	`add-exp-log_binary64_13929`
4×	`add-log-exp_binary64_13930` `add-cbrt-cube_binary64_13927`
2×	`pow-prod-up_binary64_13961` `pow-sqr_binary64_13867` `pow-prod-down_binary64_13962`
1×	`frac-times_binary64_13904` `associate-l/_binary64_13839` `associate-r/_binary64_13838` `pow2_binary64_13972` `*-commutative_binary64_13827` `prod-exp_binary64_13940` `cbrt-unprod_binary64_13924` `pow-plus_binary64_13954`

Counts

4 → 144

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

series783.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
185.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
175.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
175.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5021	2731

prune140.0ms (2.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	156	10	166

Merged error: 0.0b

Counts

166 → 10

Compiler

Compiled 3998 to 880 computations (78% saved)

regimes102.0ms (1.6%)

Compiler: Compiled 845 to 624 computations (26.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.4s (37.6%)

Algorithm

1×

intervals

Results

580.0ms	2014×	body	1024	valid
513.0ms	1918×	body	1024	invalid
262.0ms	4413×	body	128	valid
185.0ms	1033×	body	512	valid
163.0ms	925×	body	512	invalid
61.0ms	533×	body	256	valid
59.0ms	481×	body	256	invalid
48.0ms	724×	body	128	invalid
5.0ms	7×	body	2048	valid

Compiler

Compiled 185 to 139 computations (24.9% saved)

Details

analyze550.0ms (8.7%)

sample77.0ms (1.2%)

simplify251.0ms (4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite17.0ms (0.3%)

series191.0ms (3%)

simplify69.0ms (1.1%)

prune55.0ms (0.9%)

localize8.0ms (0.1%)

rewrite46.0ms (0.7%)

series250.0ms (3.9%)

simplify99.0ms (1.6%)

prune145.0ms (2.3%)

localize9.0ms (0.1%)

rewrite151.0ms (2.4%)

series210.0ms (3.3%)

simplify160.0ms (2.5%)

prune496.0ms (7.8%)

localize10.0ms (0.2%)

rewrite41.0ms (0.6%)

series783.0ms (12.3%)

simplify84.0ms (1.3%)

prune140.0ms (2.2%)

regimes102.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (37.6%)

Profiling