Details

analyze328.0ms (7.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample62.0ms (1.4%)

Algorithm

1×

intervals

Results

16.0ms	70×	body	1024	invalid
15.0ms	64×	body	1024	valid
6.0ms	138×	body	128	valid
5.0ms	37×	body	512	valid
5.0ms	36×	body	512	invalid
2.0ms	17×	body	256	valid
1.0ms	22×	body	128	invalid
1.0ms	10×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify279.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4726	11
1	4726	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: 0.0b

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 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(/.f64 (sinh.f64 y) y)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_4573`
19×	`times-frac_binary64_4557`
18×	`*-un-lft-identity_binary64_4551` `add-cube-cbrt_binary64_4586`
13×	`associate-r_binary64_4491`
9×	`add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587`
4×	`pow1_binary64_4612`
3×	`associate-/l_binary64_4496` `associate-/r_binary64_4495` `associate-l_binary64_4492`
2×	`cbrt-undiv_binary64_4585` `div-exp_binary64_4602` `prod-exp_binary64_4600` `unswap-sqr_binary64_4519` `add-log-exp_binary64_4590` `cbrt-unprod_binary64_4584` `div-inv_binary64_4548`
1×	`associate-/l/_binary64_4498` `-commutative_binary64_4482` `frac-2neg_binary64_4562` `pow-prod-down_binary64_4622` `sinh-def_binary64_4736` `associate-r/_binary64_4493` `clear-num_binary64_4550`

Counts

2 → 60

Calls

2 calls:

9.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)

series317.0ms (7.2%)

Counts

2 → 6

Calls

2 calls:

190.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
127.0ms	(/.f64 (sinh.f64 y) y)

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5357	904

prune56.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 2

Compiler

Compiled 987 to 308 computations (68.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3)

rewrite51.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`add-sqr-sqrt_binary64_4573`
70×	`cbrt-prod_binary64_4582`
65×	`times-frac_binary64_4557`
59×	`*-un-lft-identity_binary64_4551` `add-cube-cbrt_binary64_4586`
41×	`unpow-prod-down_binary64_4630` `cube-prod_binary64_4579`
35×	`associate-r_binary64_4491`
11×	`add-exp-log_binary64_4589`
10×	`add-cbrt-cube_binary64_4587`
7×	`unswap-sqr_binary64_4519` `pow1_binary64_4612` `div-inv_binary64_4548`
4×	`sqr-pow_binary64_4523` `add-log-exp_binary64_4590`
3×	`cube-div_binary64_4580` `pow-unpow_binary64_4628` `cube-mult_binary64_4581` `unpow3_binary64_4617` `associate-/l_binary64_4496` `associate-/r_binary64_4495` `associate-l_binary64_4492`
2×	`cbrt-undiv_binary64_4585` `div-exp_binary64_4602` `cbrt-div_binary64_4583` `pow-exp_binary64_4619` `rem-cube-cbrt_binary64_4574`
1×	`associate-/l/_binary64_4498` `rem-cbrt-cube_binary64_4575` `-commutative_binary64_4482` `prod-exp_binary64_4600` `pow-to-exp_binary64_4620` `frac-2neg_binary64_4562` `cbrt-unprod_binary64_4584` `pow-pow_binary64_4623` `pow-prod-down_binary64_4622` `pow1/3_binary64_4633` `sinh-def_binary64_4736` `associate-r/_binary64_4493` `clear-num_binary64_4550`

Counts

4 → 173

Calls

4 calls:

19.0ms	(*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
6.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
6.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
4.0ms	(/.f64 (sinh.f64 y) y)

series697.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
207.0ms	(*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
133.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
117.0ms	(/.f64 (sinh.f64 y) y)

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4963	2655
1	4963	2655

prune134.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	185	2	187

Merged error: 0b

Counts

187 → 2

Compiler

Compiled 2813 to 986 computations (64.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (sinh.f64 y) (cos.f64 x))
0.2b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587`
8×	`add-sqr-sqrt_binary64_4573`
6×	`*-un-lft-identity_binary64_4551` `add-cube-cbrt_binary64_4586`
4×	`pow1_binary64_4612`
3×	`associate-r_binary64_4491` `associate-/r_binary64_4495` `associate-l*_binary64_4492` `times-frac_binary64_4557`
2×	`cbrt-undiv_binary64_4585` `div-exp_binary64_4602` `associate-*l/_binary64_4494` `prod-exp_binary64_4600` `add-log-exp_binary64_4590` `cbrt-unprod_binary64_4584` `sinh-def_binary64_4736`
1×	`associate-/l/_binary64_4498` `-commutative_binary64_4482` `unswap-sqr_binary64_4519` `frac-2neg_binary64_4562` `div-inv_binary64_4548` `associate-/l_binary64_4496` `pow-prod-down_binary64_4622` `clear-num_binary64_4550`

Counts

2 → 41

Calls

2 calls:

8.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
5.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))

series302.0ms (6.9%)

Counts

2 → 6

Calls

2 calls:

157.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
145.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5412	612

prune27.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Merged error: 0b

Counts

49 → 2

Compiler

Compiled 540 to 152 computations (71.9% saved)

regimes31.0ms (0.7%)

Compiler: Compiled 84 to 82 computations (2.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample1.9s (42.3%)

Algorithm

1×

intervals

Results

491.0ms	2035×	body	1024	valid
422.0ms	1917×	body	1024	invalid
197.0ms	4461×	body	128	valid
148.0ms	1011×	body	512	valid
125.0ms	912×	body	512	invalid
47.0ms	485×	body	256	valid
43.0ms	464×	body	256	invalid
38.0ms	654×	body	128	invalid
7.0ms	8×	body	2048	valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

Details

analyze328.0ms (7.4%)

sample62.0ms (1.4%)

simplify279.0ms (6.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite17.0ms (0.4%)

series317.0ms (7.2%)

simplify64.0ms (1.4%)

prune56.0ms (1.3%)

localize9.0ms (0.2%)

rewrite51.0ms (1.2%)

series697.0ms (15.8%)

simplify87.0ms (2%)

prune134.0ms (3%)

localize6.0ms (0.1%)

rewrite16.0ms (0.4%)

series302.0ms (6.9%)

simplify51.0ms (1.2%)

prune27.0ms (0.6%)

regimes31.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (42.3%)

Profiling