Details

analyze354.0ms (5.6%)

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)

sample70.0ms (1.1%)

Algorithm

1×

intervals

Results

19.0ms	68×	body	1024	valid
17.0ms	70×	body	1024	invalid
8.0ms	142×	body	128	valid
5.0ms	31×	body	512	valid
4.0ms	28×	body	512	invalid
2.0ms	17×	body	256	invalid
2.0ms	27×	body	128	invalid
2.0ms	15×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify246.0ms (3.9%)

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)

localize6.0ms (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))
4.0ms	(/.f64 (sin.f64 y) y)

series194.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

156.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
37.0ms	(/.f64 (sin.f64 y) y)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4961	897
1	4961	897

prune59.0ms (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 946 to 262 computations (72.3% saved)

localize7.0ms (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))
0.3b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite52.0ms (0.8%)

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:

19.0ms	(*.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))

series260.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

158.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
64.0ms	(/.f64 y (sin.f64 y))
37.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify100.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4937	2855
1	4937	2855

prune148.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	188	8	196

Merged error: 0.0b

Counts

196 → 8

Compiler

Compiled 2935 to 924 computations (68.5% 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)))

rewrite154.0ms (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:

55.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
18.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
4.0ms	(/.f64 1 (sin.f64 y))

series236.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

164.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
39.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
33.0ms	(/.f64 1 (sin.f64 y))

simplify160.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4933	9670
1	4933	9670

prune529.0ms (8.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	486	2	488
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	487	9	496

Merged error: 0.0b

Counts

496 → 9

Compiler

Compiled 9468 to 4363 computations (53.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
0.1b	(/.f64 1 (sin.f64 y))
0.2b	(*.f64 y (/.f64 1 (sin.f64 y)))
0.3b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`add-exp-log_binary64_13929`
44×	`prod-exp_binary64_13940`
36×	`div-exp_binary64_13942`
34×	`add-sqr-sqrt_binary64_13915` `add-cbrt-cube_binary64_13927`
26×	`times-frac_binary64_13900` `*-un-lft-identity_binary64_13894`
25×	`add-cube-cbrt_binary64_13926`
22×	`associate-r_binary64_13836`
18×	`1-exp_binary64_13935` `rec-exp_binary64_13941`
12×	`pow1_binary64_13952`
10×	`cbrt-undiv_binary64_13925` `cbrt-unprod_binary64_13924`
6×	`associate-/l_binary64_13841` `associate-l*_binary64_13837`
4×	`associate-/r/_binary64_13842` `div-inv_binary64_13891` `un-div-inv_binary64_13892` `associate-r/_binary64_13838` `add-log-exp_binary64_13930` `associate-/r_binary64_13840` `unswap-sqr_binary64_13862`
3×	`pow-prod-down_binary64_13962` `pow-flip_binary64_13965`
2×	`inv-pow_binary64_13976` `*-commutative_binary64_13827` `cosh-def_binary64_14077` `frac-2neg_binary64_13905` `clear-num_binary64_13893`
1×	`frac-times_binary64_13904` `associate-*l/_binary64_13839`

Counts

4 → 153

Calls

4 calls:

13.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
9.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
8.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
4.0ms	(/.f64 1 (sin.f64 y))

series288.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
53.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
42.0ms	(/.f64 1 (sin.f64 y))
41.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4927	1673
1	4927	1673

prune118.0ms (1.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	165	9	174

Merged error: 0.0b

Counts

174 → 9

Compiler

Compiled 2077 to 827 computations (60.2% saved)

regimes310.0ms (4.9%)

Compiler: Compiled 2960 to 2144 computations (27.6% 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%)

sample2.8s (44.2%)

Algorithm

1×

intervals

Results

560.0ms	2036×	body	1024	valid
482.0ms	1980×	body	1024	invalid
250.0ms	4430×	body	128	valid
172.0ms	1022×	body	512	valid
159.0ms	993×	body	512	invalid
59.0ms	558×	body	256	invalid
54.0ms	506×	body	256	valid
48.0ms	704×	body	128	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 608 to 443 computations (27.1% saved)

Details

analyze354.0ms (5.6%)

sample70.0ms (1.1%)

simplify246.0ms (3.9%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite17.0ms (0.3%)

series194.0ms (3.1%)

simplify67.0ms (1.1%)

prune59.0ms (0.9%)

localize7.0ms (0.1%)

rewrite52.0ms (0.8%)

series260.0ms (4.1%)

simplify100.0ms (1.6%)

prune148.0ms (2.3%)

localize9.0ms (0.1%)

rewrite154.0ms (2.4%)

series236.0ms (3.7%)

simplify160.0ms (2.5%)

prune529.0ms (8.4%)

localize9.0ms (0.1%)

rewrite47.0ms (0.7%)

series288.0ms (4.6%)

simplify81.0ms (1.3%)

prune118.0ms (1.9%)

regimes310.0ms (4.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (44.2%)

Profiling