Details

analyze2.3s (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4881	464
1	4881	464
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

Compiler

Compiled 20 to 20 computations (0% saved)

sample147.0ms (0.6%)

Algorithm

1×

intervals

Results

25.0ms	29×	body	2048	valid
24.0ms	39×	body	1024	valid
23.0ms	160×	body	128	valid
10.0ms	67×	body	128	nan
8.0ms	18×	body	512	valid
7.0ms	49×	body	128	invalid
3.0ms	10×	body	256	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	757	29
1	757	29

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

22.8b

Counts

2 → 1

Compiler

Compiled 38 to 38 computations (0% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 z t) 3)
0.2b	(/.f64 a (*.f64 b 3))
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
25.1b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite56.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
11×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
9×	`times-frac_binary64_16111` `pow1_binary64_16166`
8×	`cos-sum_binary64_16239`
7×	`cancel-sign-sub-inv_binary64_16071`
5×	`cbrt-unprod_binary64_16138` `prod-exp_binary64_16154`
4×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `add-log-exp_binary64_16144` `associate-/r_binary64_16049` `associate-/l_binary64_16050`
3×	`div-inv_binary64_16102` `cos-diff_binary64_16242` `pow-prod-down_binary64_16176` `associate-r_binary64_16045`
2×	`frac-2neg_binary64_16116` `clear-num_binary64_16104`
1×	`distribute-lft-in_binary64_16054` `distribute-rgt-in_binary64_16055` `sub-neg_binary64_16098` `-commutative_binary64_16036` `associate-l*_binary64_16046`

Counts

4 → 78

Calls

4 calls:

16.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
13.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
8.0ms	(/.f64 (*.f64 z t) 3)
7.0ms	(/.f64 a (*.f64 b 3))

series856.0ms (3.3%)

Counts

4 → 45

Calls

4 calls:

462.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
179.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
114.0ms	(/.f64 a (*.f64 b 3))
101.0ms	(/.f64 (*.f64 z t) 3)

Compiler

Compiled 1893 to 1751 computations (7.5% saved)

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4932	1991
1	4932	1991

prune375.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	103	20	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	20	124

Error

15.6b

Counts

124 → 20

Compiler

Compiled 3353 to 2147 computations (36% saved)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b	(/.f64 a (*.f64 b 3))

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
8×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `pow1_binary64_16166`
7×	`cancel-sign-sub-inv_binary64_16071`
6×	`times-frac_binary64_16111`
5×	`add-log-exp_binary64_16144`
4×	`cbrt-unprod_binary64_16138` `prod-exp_binary64_16154`
3×	`pow-prod-down_binary64_16176` `associate-r_binary64_16045` `associate-/l*_binary64_16050`
2×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `div-inv_binary64_16102`
1×	`flip--_binary64_16080` `flip3--_binary64_16109` `diff-log_binary64_16197` `sub-neg_binary64_16098` `-commutative_binary64_16036` `associate-/r_binary64_16049` `frac-2neg_binary64_16116` `clear-num_binary64_16104` `associate-l_binary64_16046`

Counts

3 → 57

Calls

3 calls:

15.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
11.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
8.0ms	(/.f64 a (*.f64 b 3))

series1.0s (4.1%)

Counts

3 → 32

Calls

3 calls:

811.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
128.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
103.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 758 to 860 computations (-13.5% saved)

simplify166.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4920	1209
1	4920	1209

prune250.0ms (1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	85	24	109

Error

15.3b

Counts

109 → 24

Compiler

Compiled 1936 to 1309 computations (32.4% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 b (/.f64 a 3))))
0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b	(/.f64 b (/.f64 a 3))
0.4b	(/.f64 1 (/.f64 b (/.f64 a 3)))

rewrite248.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

801×	`times-frac_binary64_16111`
382×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
137×	`cancel-sign-sub-inv_binary64_16071`
57×	`associate-/r*_binary64_16049`
35×	`add-exp-log_binary64_16143` `div-inv_binary64_16102`
23×	`add-cbrt-cube_binary64_16141`
18×	`div-exp_binary64_16156`
10×	`pow1_binary64_16166` `associate-/r/_binary64_16051`
9×	`cbrt-undiv_binary64_16139`
6×	`add-log-exp_binary64_16144` `associate-/l*_binary64_16050`
3×	`cbrt-unprod_binary64_16138` `rec-exp_binary64_16155` `pow-prod-down_binary64_16176` `associate-r_binary64_16045` `1-exp_binary64_16149` `prod-exp_binary64_16154`
2×	`frac-2neg_binary64_16116` `clear-num_binary64_16104`
1×	`flip--_binary64_16080` `flip3--_binary64_16109` `inv-pow_binary64_16190` `diff-log_binary64_16197` `sub-neg_binary64_16098` `-commutative_binary64_16036` `pow-flip_binary64_16179` `associate-l*_binary64_16046`

Counts

4 → 440

Calls

4 calls:

82.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 b (/.f64 a 3))))
25.0ms	(/.f64 1 (/.f64 b (/.f64 a 3)))
12.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
11.0ms	(/.f64 b (/.f64 a 3))

series942.0ms (3.7%)

Counts

4 → 38

Calls

4 calls:

579.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 b (/.f64 a 3))))
132.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
121.0ms	(/.f64 1 (/.f64 b (/.f64 a 3)))
111.0ms	(/.f64 b (/.f64 a 3))

Compiler

Compiled 964 to 1090 computations (-13.1% saved)

simplify244.0ms (1%)

Algorithm

1×	egg-herbie

Counts

478 → 478

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5509	10650

prune1.3s (5.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	474	4	478
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	477	25	502

Error

15.3b

Counts

502 → 25

Compiler

Compiled 11815 to 7045 computations (40.4% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))
0.6b	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
0.6b	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
0.6b	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))

rewrite55.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_16166`
10×	`add-sqr-sqrt_binary64_16127`
9×	`pow1/3_binary64_16187`
8×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140`
7×	`cbrt-prod_binary64_16136`
6×	`add-exp-log_binary64_16143`
4×	`add-log-exp_binary64_16144` `swap-sqr_binary64_16072` `associate-r_binary64_16045` `associate-l_binary64_16046` `add-cbrt-cube_binary64_16141`
2×	`pow-prod-up_binary64_16175` `pow-sqr_binary64_16078` `pow-prod-down_binary64_16176`
1×	`cbrt-unprod_binary64_16138` `pow-plus_binary64_16168` `unswap-sqr_binary64_16073` `*-commutative_binary64_16036` `prod-exp_binary64_16154` `pow2_binary64_16186`

Counts

4 → 58

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))
9.0ms	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
9.0ms	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
9.0ms	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))

series2.1s (8.1%)

Counts

4 → 28

Calls

4 calls:

574.0ms	(.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y))))
525.0ms	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
487.0ms	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
479.0ms	(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))

Compiler

Compiled 1907 to 1691 computations (11.3% saved)

simplify149.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4933	1286
1	4933	1286

prune266.0ms (1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	80	6	86
Fresh	3	21	24
Picked	1	0	1
Done	0	0	0
Total	84	27	111

Error

15.2b

Counts

111 → 27

Compiler

Compiled 2819 to 1691 computations (40% saved)

regimes6.0s (23.4%)

Accuracy

Total 1.6b remaining (10.2%)

Threshold costs 0b (0%)

Compiler

Compiled 32790 to 30994 computations (5.5% saved)

bsearch8.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	156
1	81	156

Compiler

Compiled 198 to 138 computations (30.3% saved)

end0.0ms (0%)

sample8.7s (34.1%)

Algorithm

1×

intervals

Results

1.0s	1559×	body	1024	valid
752.0ms	4658×	body	128	valid
677.0ms	730×	body	2048	valid
380.0ms	728×	body	512	valid
344.0ms	2206×	body	128	nan
174.0ms	1167×	body	128	invalid
105.0ms	323×	body	256	valid
4.0ms	2×	body	4096	valid

Compiler

Compiled 2132 to 1975 computations (7.4% saved)

Details

analyze2.3s (8.9%)

sample147.0ms (0.6%)

simplify93.0ms (0.4%)

prune6.0ms (0%)

localize36.0ms (0.1%)

rewrite56.0ms (0.2%)

series856.0ms (3.3%)

simplify139.0ms (0.5%)

prune375.0ms (1.5%)

localize25.0ms (0.1%)

rewrite41.0ms (0.2%)

series1.0s (4.1%)

simplify166.0ms (0.6%)

prune250.0ms (1%)

localize26.0ms (0.1%)

rewrite248.0ms (1%)

series942.0ms (3.7%)

simplify244.0ms (1%)

prune1.3s (5.1%)

localize34.0ms (0.1%)

rewrite55.0ms (0.2%)

series2.1s (8.1%)

simplify149.0ms (0.6%)

prune266.0ms (1%)

regimes6.0s (23.4%)

bsearch8.0ms (0%)

simplify31.0ms (0.1%)

end0.0ms (0%)

sample8.7s (34.1%)

Profiling