Details

analyze331.0ms (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)

sample62.0ms (1.1%)

Algorithm

1×

intervals

Results

19.0ms	73×	body	1024	valid
11.0ms	48×	body	1024	invalid
7.0ms	135×	body	128	valid
5.0ms	31×	body	512	valid
5.0ms	29×	body	512	invalid
2.0ms	16×	body	256	valid
1.0ms	20×	body	128	invalid
1.0ms	10×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify262.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

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

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_15925` `*-un-lft-identity_binary64_15903` `add-cube-cbrt_binary64_15938`
9×	`times-frac_binary64_15909`
4×	`add-exp-log_binary64_15941` `add-cbrt-cube_binary64_15939`
3×	`associate-/r_binary64_15847` `associate-/l_binary64_15848`
2×	`pow1_binary64_15964` `add-log-exp_binary64_15942`
1×	`div-exp_binary64_15954` `clear-num_binary64_15902` `cosh-def_binary64_16089` `div-inv_binary64_15900` `frac-2neg_binary64_15914` `cbrt-undiv_binary64_15937`

Counts

2 → 35

Calls

2 calls:

4.0ms	(/.f64 (sin.f64 y) y)
1.0ms	(cosh.f64 x)

series100.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(cosh.f64 x)
40.0ms	(/.f64 (sin.f64 y) y)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5548	454

prune130.0ms (2.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	32	9	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	10	42

Merged error: 0.0b

Counts

42 → 10

Compiler

Compiled 2012 to 1105 computations (45.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_15909`
53×	`add-sqr-sqrt_binary64_15925` `*-un-lft-identity_binary64_15903` `add-cube-cbrt_binary64_15938`
16×	`associate-/r*_binary64_15847` `add-exp-log_binary64_15941`
10×	`add-cbrt-cube_binary64_15939`
8×	`div-exp_binary64_15954`
6×	`div-inv_binary64_15900` `associate-/l*_binary64_15848`
4×	`cbrt-undiv_binary64_15937` `pow1_binary64_15964`
3×	`add-log-exp_binary64_15942`
2×	`1-exp_binary64_15947` `clear-num_binary64_15902` `frac-2neg_binary64_15914` `rec-exp_binary64_15953`
1×	`inv-pow_binary64_15988` `pow-flip_binary64_15977` `cosh-def_binary64_16089` `associate-/r/_binary64_15849`

Counts

3 → 111

Calls

3 calls:

7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))
1.0ms	(cosh.f64 x)

series163.0ms (3%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(cosh.f64 x)
55.0ms	(/.f64 y (sin.f64 y))
43.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4833	1708
1	4833	1708

prune135.0ms (2.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	121	9	130

Merged error: 0.0b

Counts

130 → 9

Compiler

Compiled 2527 to 1085 computations (57.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64_15941`
29×	`add-sqr-sqrt_binary64_15925`
23×	`*-un-lft-identity_binary64_15903` `times-frac_binary64_15909`
22×	`add-cube-cbrt_binary64_15938`
20×	`div-exp_binary64_15954` `add-cbrt-cube_binary64_15939`
16×	`prod-exp_binary64_15952`
13×	`associate-r_binary64_15843`
10×	`1-exp_binary64_15947` `rec-exp_binary64_15953` `pow1_binary64_15964`
6×	`cbrt-undiv_binary64_15937` `associate-/l*_binary64_15848`
4×	`cbrt-unprod_binary64_15936` `associate-/r*_binary64_15847` `add-log-exp_binary64_15942`
3×	`pow-flip_binary64_15977` `associate-l_binary64_15844` `div-inv_binary64_15900` `unswap-sqr_binary64_15871`
2×	`associate-*r/_binary64_15845` `pow-prod-down_binary64_15974` `inv-pow_binary64_15988` `clear-num_binary64_15902` `frac-2neg_binary64_15914` `associate-/r/_binary64_15849` `un-div-inv_binary64_15901`
1×	`cosh-def_binary64_16089` `*-commutative_binary64_15834`

Counts

4 → 115

Calls

4 calls:

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))
1.0ms	(cosh.f64 x)

series194.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
55.0ms	(cosh.f64 x)
39.0ms	(/.f64 1 (sin.f64 y))
38.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))

simplify99.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4877	1159
1	4877	1159

prune106.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	128	8	136

Merged error: 0.0b

Counts

136 → 8

Compiler

Compiled 1939 to 949 computations (51.1% saved)

localize11.0ms (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))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_15934`
81×	`add-sqr-sqrt_binary64_15925`
69×	`times-frac_binary64_15909`
57×	`*-un-lft-identity_binary64_15903` `add-cube-cbrt_binary64_15938`
16×	`associate-l_binary64_15844` `swap-sqr_binary64_15870` `associate-r_binary64_15843`
11×	`pow1_binary64_15964`
9×	`pow1/3_binary64_15985` `unswap-sqr_binary64_15871`
7×	`div-inv_binary64_15900` `cbrt-div_binary64_15935`
6×	`add-exp-log_binary64_15941`
4×	`add-cbrt-cube_binary64_15939` `add-log-exp_binary64_15942`
2×	`pow-prod-down_binary64_15974` `pow-sqr_binary64_15876` `pow-prod-up_binary64_15973`
1×	`cbrt-unprod_binary64_15936` `associate-r/_binary64_15845` `pow-plus_binary64_15966` `associate-l/_binary64_15846` `prod-exp_binary64_15952` `*-commutative_binary64_15834` `pow2_binary64_15984` `frac-times_binary64_15913`

Counts

4 → 144

Calls

4 calls:

16.0ms	(*.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))

series844.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

257.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
201.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
197.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
188.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4963	2719
1	4963	2719

prune144.0ms (2.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	156	8	164

Merged error: 0.0b

Counts

164 → 8

Compiler

Compiled 4121 to 958 computations (76.8% saved)

regimes87.0ms (1.6%)

Compiler: Compiled 620 to 454 computations (26.8% 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 (44.2%)

Algorithm

1×

intervals

Results

590.0ms	2109×	body	1024	valid
470.0ms	1937×	body	1024	invalid
255.0ms	527×	body	256	invalid
244.0ms	4374×	body	128	valid
161.0ms	979×	body	512	valid
153.0ms	980×	body	512	invalid
57.0ms	531×	body	256	valid
45.0ms	709×	body	128	invalid
6.0ms	7×	body	2048	valid

Compiler

Compiled 140 to 105 computations (25% saved)

Details

analyze331.0ms (6%)

sample62.0ms (1.1%)

simplify262.0ms (4.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite8.0ms (0.1%)

series100.0ms (1.8%)

simplify78.0ms (1.4%)

prune130.0ms (2.4%)

localize8.0ms (0.1%)

rewrite22.0ms (0.4%)

series163.0ms (3%)

simplify117.0ms (2.1%)

prune135.0ms (2.4%)

localize9.0ms (0.2%)

rewrite31.0ms (0.6%)

series194.0ms (3.5%)

simplify99.0ms (1.8%)

prune106.0ms (1.9%)

localize11.0ms (0.2%)

rewrite43.0ms (0.8%)

series844.0ms (15.3%)

simplify89.0ms (1.6%)

prune144.0ms (2.6%)

regimes87.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (44.2%)

Profiling