Details

analyze82.0ms (2.2%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample34.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	169×	body	128	valid
9.0ms	50×	body	1024	valid
2.0ms	19×	body	512	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify98.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

prune2.0ms (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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_4874`
19×	`times-frac_binary64_4858`
18×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
13×	`associate-r_binary64_4792`
9×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
4×	`pow1_binary64_4913`
3×	`associate-l_binary64_4793` `associate-/l_binary64_4797` `associate-/r_binary64_4796`
2×	`unswap-sqr_binary64_4820` `cbrt-unprod_binary64_4885` `div-inv_binary64_4849` `add-log-exp_binary64_4891` `prod-exp_binary64_4901` `cbrt-undiv_binary64_4886` `div-exp_binary64_4903`
1×	`associate-r/_binary64_4794` `clear-num_binary64_4851` `pow-prod-down_binary64_4923` `frac-2neg_binary64_4863` `-commutative_binary64_4783`

Counts

2 → 59

Calls

2 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series160.0ms (4.3%)

Counts

2 → 11

Calls

2 calls:

132.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
28.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 166 to 149 computations (10.2% saved)

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4969	820
1	4969	820

prune56.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

Compiler

Compiled 859 to 264 computations (69.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.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)))

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64_4858`
103×	`add-sqr-sqrt_binary64_4874`
91×	`*-un-lft-identity_binary64_4852`
89×	`add-cube-cbrt_binary64_4887`
44×	`associate-r_binary64_4792`
35×	`add-exp-log_binary64_4890`
19×	`add-cbrt-cube_binary64_4888`
16×	`associate-/r*_binary64_4796`
15×	`div-exp_binary64_4903`
10×	`div-inv_binary64_4849`
7×	`prod-exp_binary64_4901` `cbrt-undiv_binary64_4886`
6×	`associate-/l*_binary64_4797` `pow1_binary64_4913`
5×	`unswap-sqr_binary64_4820`
4×	`1-exp_binary64_4896` `rec-exp_binary64_4902`
3×	`associate-l_binary64_4793` `cbrt-unprod_binary64_4885` `add-log-exp_binary64_4891`
2×	`clear-num_binary64_4851` `associate-/r/_binary64_4798` `frac-2neg_binary64_4863`
1×	`pow-flip_binary64_4926` `associate-r/_binary64_4794` `inv-pow_binary64_4937` `pow-prod-down_binary64_4923` `un-div-inv_binary64_4850` `-commutative_binary64_4783`

Counts

3 → 176

Calls

3 calls:

16.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

series204.0ms (5.5%)

Counts

3 → 15

Calls

3 calls:

131.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
44.0ms	(/.f64 y (sin.f64 y))
28.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 247 to 226 computations (8.5% saved)

simplify110.0ms (3%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5200	2692

prune132.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	188	3	191
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	192	8	200

Merged error: 0b

Counts

200 → 8

Compiler

Compiled 2735 to 934 computations (65.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.3b	(/.f64 x (/.f64 y (sin.f64 y)))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_4858`
52×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
16×	`associate-/r*_binary64_4796`
9×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
6×	`div-inv_binary64_4849` `associate-/l*_binary64_4797`
4×	`cbrt-undiv_binary64_4886` `div-exp_binary64_4903`
2×	`clear-num_binary64_4851` `add-log-exp_binary64_4891` `pow1_binary64_4913` `frac-2neg_binary64_4863`
1×	`associate-/r/_binary64_4798`

Counts

2 → 97

Calls

2 calls:

6.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

series161.0ms (4.3%)

Counts

2 → 11

Calls

2 calls:

124.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
37.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 170 to 153 computations (10% saved)

simplify84.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5062	1822

prune72.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0b

Counts

116 → 8

Compiler

Compiled 1498 to 363 computations (75.8% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))
0.5b	(cbrt.f64 (/.f64 y (sin.f64 y)))
0.5b	(cbrt.f64 (/.f64 y (sin.f64 y)))
0.5b	(cbrt.f64 (/.f64 y (sin.f64 y)))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_4883`
81×	`add-sqr-sqrt_binary64_4874`
69×	`times-frac_binary64_4858`
57×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
16×	`associate-l_binary64_4793` `associate-r_binary64_4792` `swap-sqr_binary64_4819`
11×	`pow1_binary64_4913`
9×	`unswap-sqr_binary64_4820` `pow1/3_binary64_4934`
7×	`div-inv_binary64_4849` `cbrt-div_binary64_4884`
6×	`add-exp-log_binary64_4890`
4×	`add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891`
2×	`pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `pow-prod-down_binary64_4923`
1×	`frac-times_binary64_4862` `cbrt-unprod_binary64_4885` `associate-r/_binary64_4794` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `associate-l/_binary64_4795` `pow2_binary64_4933` `*-commutative_binary64_4783`

Counts

4 → 144

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))
3.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
3.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
3.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))

series588.0ms (15.8%)

Counts

4 → 16

Calls

4 calls:

183.0ms	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))
141.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
132.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
131.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))

Compiler

Compiled 938 to 761 computations (18.9% saved)

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4938	3064
1	4938	3064

prune221.0ms (6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	160	8	168

Merged error: 0b

Counts

168 → 8

Compiler

Compiled 5513 to 2296 computations (58.4% saved)

regimes183.0ms (4.9%)

Compiler: Compiled 1432 to 910 computations (36.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.2s (33%)

Algorithm

1×

intervals

Results

252.0ms	5399×	body	128	valid
245.0ms	1316×	body	1024	valid
103.0ms	785×	body	512	valid
46.0ms	498×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 365 to 234 computations (35.9% saved)

Details

analyze82.0ms (2.2%)

sample34.0ms (0.9%)

simplify98.0ms (2.6%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite16.0ms (0.4%)

series160.0ms (4.3%)

simplify68.0ms (1.8%)

prune56.0ms (1.5%)

localize6.0ms (0.2%)

rewrite43.0ms (1.1%)

series204.0ms (5.5%)

simplify110.0ms (3%)

prune132.0ms (3.6%)

localize5.0ms (0.1%)

rewrite17.0ms (0.5%)

series161.0ms (4.3%)

simplify84.0ms (2.3%)

prune72.0ms (1.9%)

localize14.0ms (0.4%)

rewrite44.0ms (1.2%)

series588.0ms (15.8%)

simplify79.0ms (2.1%)

prune221.0ms (6%)

regimes183.0ms (4.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (33%)

Profiling