Details

analyze162.0ms (2.8%)

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)

sample52.0ms (0.9%)

Algorithm

1×

intervals

Results

20.0ms	59×	body	1024	valid
12.0ms	160×	body	128	valid
6.0ms	24×	body	512	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify178.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

prune4.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_5215`
19×	`times-frac_binary64_5199`
18×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
13×	`associate-r_binary64_5133`
9×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
4×	`pow1_binary64_5254`
3×	`associate-l_binary64_5134` `associate-/l_binary64_5138` `associate-/r_binary64_5137`
2×	`add-log-exp_binary64_5232` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `div-exp_binary64_5244` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`
1×	`pow-prod-down_binary64_5264` `-commutative_binary64_5124` `clear-num_binary64_5192` `associate-r/_binary64_5135` `frac-2neg_binary64_5204`

Counts

2 → 59

Calls

2 calls:

15.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (sin.f64 y) y)

series131.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
40.0ms	(/.f64 (sin.f64 y) y)

simplify116.0ms (2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5007	782

prune91.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	8	66

Merged error: 0b

Counts

66 → 8

Compiler

Compiled 841 to 231 computations (72.5% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_5224`
8×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `pow1/3_binary64_5275` `pow1_binary64_5254`

Counts

4 → 44

Calls

4 calls:

3.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 y)

series546.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt.f64 y)
146.0ms	(cbrt.f64 (sin.f64 y))
122.0ms	(cbrt.f64 (sin.f64 y))
121.0ms	(cbrt.f64 (sin.f64 y))

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5262	463

prune99.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0b

Counts

64 → 8

Compiler

Compiled 1525 to 310 computations (79.7% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
7.9b	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
7.9b	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
7.9b	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5254`
10×	`add-sqr-sqrt_binary64_5215`
9×	`pow1/3_binary64_5275`
8×	`add-cube-cbrt_binary64_5228` `-un-lft-identity_binary64_5193` `associate-r/_binary64_5135`
7×	`cbrt-div_binary64_5225` `cbrt-prod_binary64_5224`
6×	`add-exp-log_binary64_5231`
4×	`add-cbrt-cube_binary64_5229` `associate-l_binary64_5134` `add-log-exp_binary64_5232` `swap-sqr_binary64_5160` `associate-r_binary64_5133`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow-plus_binary64_5256` `associate-l/_binary64_5136` `pow2_binary64_5274` `frac-times_binary64_5203` `-commutative_binary64_5124` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`

Counts

4 → 64

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
7.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
7.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
7.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))

series933.0ms (16%)

Counts

4 → 12

Calls

4 calls:

299.0ms	(.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
225.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
209.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
200.0ms	(cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))

simplify139.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4946	1019
1	4946	1019

prune112.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	76	8	84

Merged error: 0b

Counts

84 → 8

Compiler

Compiled 1909 to 338 computations (82.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
5.8b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))

rewrite52.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_5231`
22×	`associate-r_binary64_5133`
20×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
18×	`add-cbrt-cube_binary64_5229` `cbrt-prod_binary64_5224` `times-frac_binary64_5199`
13×	`pow1_binary64_5254`
12×	`prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
6×	`pow-prod-down_binary64_5264`
4×	`add-log-exp_binary64_5232`
3×	`cbrt-undiv_binary64_5227` `div-exp_binary64_5244` `pow1/3_binary64_5275`
1×	`associate-l_binary64_5134` `-commutative_binary64_5124` `div-inv_binary64_5190` `associate-r/_binary64_5135`

Counts

4 → 80

Calls

4 calls:

30.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
3.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (sin.f64 y))

series508.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 (sin.f64 y))
140.0ms	(cbrt.f64 (sin.f64 y))
117.0ms	(cbrt.f64 (sin.f64 y))
99.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))

simplify125.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4955	1127
1	4955	1127

prune108.0ms (1.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	92	8	100

Merged error: 0b

Counts

100 → 8

Compiler

Compiled 1502 to 391 computations (74% saved)

regimes238.0ms (4.1%)

Compiler: Compiled 1060 to 638 computations (39.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample2.0s (33.8%)

Algorithm

1×

intervals

Results

436.0ms	5348×	body	128	valid
423.0ms	1288×	body	1024	valid
205.0ms	865×	body	512	valid
78.0ms	496×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 272 to 166 computations (39% saved)

Details

analyze162.0ms (2.8%)

sample52.0ms (0.9%)

simplify178.0ms (3.1%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite30.0ms (0.5%)

series131.0ms (2.2%)

simplify116.0ms (2%)

prune91.0ms (1.6%)

localize26.0ms (0.5%)

rewrite17.0ms (0.3%)

series546.0ms (9.4%)

simplify91.0ms (1.6%)

prune99.0ms (1.7%)

localize19.0ms (0.3%)

rewrite40.0ms (0.7%)

series933.0ms (16%)

simplify139.0ms (2.4%)

prune112.0ms (1.9%)

localize20.0ms (0.3%)

rewrite52.0ms (0.9%)

series508.0ms (8.7%)

simplify125.0ms (2.2%)

prune108.0ms (1.8%)

regimes238.0ms (4.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (33.8%)

Profiling