Details

analyze916.0ms (9.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4855	22
1	4855	22
0	2	2
1	2	2

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)

sample111.0ms (1.2%)

Algorithm

1×

intervals

Results

28.0ms	66×	body	1024	valid
24.0ms	62×	body	1024	invalid
14.0ms	140×	body	128	valid
9.0ms	31×	body	512	valid
7.0ms	27×	body	512	invalid
3.0ms	18×	body	256	valid
3.0ms	18×	body	256	invalid
3.0ms	26×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify209.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	4950	11
1	4950	11

prune9.0ms (0.1%)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize12.0ms (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)

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_11694`
19×	`times-frac_binary64_11678`
18×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
13×	`associate-r_binary64_11612`
9×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
4×	`pow1_binary64_11733`
3×	`associate-/r_binary64_11616` `associate-l_binary64_11613` `associate-/l_binary64_11617`
2×	`cbrt-undiv_binary64_11706` `cbrt-unprod_binary64_11705` `cosh-def_binary64_11858` `div-exp_binary64_11723` `add-log-exp_binary64_11711` `unswap-sqr_binary64_11640` `prod-exp_binary64_11721` `div-inv_binary64_11669`
1×	`clear-num_binary64_11671` `frac-times_binary64_11682` `associate-l/_binary64_11615` `associate-r/_binary64_11614` `frac-2neg_binary64_11683` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743`

Counts

2 → 61

Calls

2 calls:

14.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (sin.f64 y) y)

series418.0ms (4.4%)

Counts

2 → 18

Calls

2 calls:

365.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
53.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 442 to 346 computations (21.7% saved)

simplify171.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4947	1289
1	4947	1289

prune125.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	7	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	8	80

Error

Counts

80 → 8

Compiler

Compiled 1195 to 354 computations (70.4% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_11710`
18×	`add-sqr-sqrt_binary64_11694`
16×	`add-cbrt-cube_binary64_11708`
14×	`associate-r_binary64_11612`
13×	`prod-exp_binary64_11721`
12×	`*-un-lft-identity_binary64_11672`
11×	`add-cube-cbrt_binary64_11707` `times-frac_binary64_11678`
9×	`pow1_binary64_11733`
7×	`cbrt-unprod_binary64_11705`
6×	`associate-l_binary64_11613`
5×	`associate-*r/_binary64_11614`
4×	`div-exp_binary64_11723` `pow-prod-down_binary64_11743`
3×	`cosh-def_binary64_11858` `un-div-inv_binary64_11670` `unswap-sqr_binary64_11640`
2×	`cbrt-undiv_binary64_11706` `1-exp_binary64_11716` `add-log-exp_binary64_11711` `frac-times_binary64_11682` `*-commutative_binary64_11603` `rec-exp_binary64_11722`
1×	`associate-*l/_binary64_11615` `div-inv_binary64_11669`

Counts

2 → 63

Calls

2 calls:

16.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
15.0ms	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))

series419.0ms (4.4%)

Counts

2 → 18

Calls

2 calls:

367.0ms	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
52.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

Compiler

Compiled 442 to 346 computations (21.7% saved)

simplify172.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4953	1163
1	4953	1163

prune107.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Error

Counts

89 → 8

Compiler

Compiled 1147 to 405 computations (64.7% saved)

localize15.0ms (0.2%)

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)))

rewrite81.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64_11678`
103×	`add-sqr-sqrt_binary64_11694`
91×	`*-un-lft-identity_binary64_11672`
89×	`add-cube-cbrt_binary64_11707`
44×	`associate-r_binary64_11612`
35×	`add-exp-log_binary64_11710`
19×	`add-cbrt-cube_binary64_11708`
16×	`associate-/r*_binary64_11616`
15×	`div-exp_binary64_11723`
10×	`div-inv_binary64_11669`
7×	`cbrt-undiv_binary64_11706` `prod-exp_binary64_11721`
6×	`pow1_binary64_11733` `associate-/l*_binary64_11617`
5×	`unswap-sqr_binary64_11640`
4×	`1-exp_binary64_11716` `rec-exp_binary64_11722`
3×	`cbrt-unprod_binary64_11705` `add-log-exp_binary64_11711` `associate-l_binary64_11613`
2×	`cosh-def_binary64_11858` `associate-/r/_binary64_11618` `clear-num_binary64_11671` `frac-2neg_binary64_11683`
1×	`inv-pow_binary64_11757` `pow-flip_binary64_11746` `frac-times_binary64_11682` `associate-l/_binary64_11615` `un-div-inv_binary64_11670` `associate-r/_binary64_11614` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743`

Counts

3 → 178

Calls

3 calls:

32.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
12.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
6.0ms	(/.f64 y (sin.f64 y))

series498.0ms (5.2%)

Counts

3 → 24

Calls

3 calls:

366.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
74.0ms	(/.f64 y (sin.f64 y))
58.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 538 to 436 computations (19% saved)

simplify177.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4948	3206
1	4948	3206

prune261.0ms (2.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	202	8	210

Error

Counts

210 → 8

Compiler

Compiled 3170 to 1012 computations (68.1% saved)

localize19.0ms (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)))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite80.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_11703`
81×	`add-sqr-sqrt_binary64_11694`
69×	`times-frac_binary64_11678`
57×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
16×	`associate-r_binary64_11612` `swap-sqr_binary64_11639` `associate-l_binary64_11613`
11×	`pow1_binary64_11733`
9×	`unswap-sqr_binary64_11640` `pow1/3_binary64_11754`
7×	`cbrt-div_binary64_11704` `div-inv_binary64_11669`
6×	`add-exp-log_binary64_11710`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708`
2×	`pow-sqr_binary64_11645` `pow-prod-up_binary64_11742` `pow-prod-down_binary64_11743`
1×	`cbrt-unprod_binary64_11705` `frac-times_binary64_11682` `associate-l/_binary64_11615` `associate-r/_binary64_11614` `pow2_binary64_11753` `prod-exp_binary64_11721` `*-commutative_binary64_11603` `pow-plus_binary64_11735`

Counts

4 → 144

Calls

4 calls:

28.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
5.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
5.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
5.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

series828.0ms (8.7%)

Counts

4 → 24

Calls

4 calls:

253.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
196.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
189.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
188.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

Compiler

Compiled 812 to 588 computations (27.6% saved)

simplify179.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4921	2947
1	4921	2947

prune262.0ms (2.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	168	8	176

Error

Counts

176 → 8

Compiler

Compiled 4300 to 995 computations (76.9% saved)

regimes327.0ms (3.4%)

Accuracy

Total 0.1b remaining (83.9%)

Threshold costs 0.1b (83.9%)

Compiler

Compiled 1440 to 974 computations (32.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample4.0s (42.4%)

Algorithm

1×

intervals

Results

854.0ms	1989×	body	1024	valid
762.0ms	1992×	body	1024	invalid
448.0ms	4503×	body	128	valid
283.0ms	1016×	body	512	valid
263.0ms	970×	body	512	invalid
102.0ms	556×	body	256	invalid
88.0ms	486×	body	256	valid
73.0ms	697×	body	128	invalid
5.0ms	6×	body	2048	valid

Compiler

Compiled 304 to 209 computations (31.3% saved)

Details

analyze916.0ms (9.6%)

sample111.0ms (1.2%)

simplify209.0ms (2.2%)

prune9.0ms (0.1%)

localize12.0ms (0.1%)

rewrite29.0ms (0.3%)

series418.0ms (4.4%)

simplify171.0ms (1.8%)

prune125.0ms (1.3%)

localize14.0ms (0.1%)

rewrite40.0ms (0.4%)

series419.0ms (4.4%)

simplify172.0ms (1.8%)

prune107.0ms (1.1%)

localize15.0ms (0.2%)

rewrite81.0ms (0.8%)

series498.0ms (5.2%)

simplify177.0ms (1.9%)

prune261.0ms (2.7%)

localize19.0ms (0.2%)

rewrite80.0ms (0.8%)

series828.0ms (8.7%)

simplify179.0ms (1.9%)

prune262.0ms (2.8%)

regimes327.0ms (3.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.0s (42.4%)

Profiling