Details

analyze254.0ms (2.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5066	656
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1

Compiler

Compiled 28 to 27 computations (3.6% saved)

sample133.0ms (1.1%)

Algorithm

1×

intervals

Results

51.0ms	74×	body	2048	valid
29.0ms	62×	body	1024	valid
17.0ms	39×	body	512	valid
14.0ms	12×	body	4096	valid
6.0ms	55×	body	128	valid
3.0ms	14×	body	256	valid

Compiler

Compiled 55 to 59 computations (-7.3% saved)

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	990	35
1	990	35

prune6.0ms (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

Error

48.5b

Counts

2 → 2

Compiler

Compiled 73 to 70 computations (4.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
1.8b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
34.4b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
38.2b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212`
6×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-r_binary64_19114` `*-un-lft-identity_binary64_19174` `pow-prod-down_binary64_19245` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
4×	`distribute-lft-in_binary64_19123` `associate-*r/_binary64_19116` `add-log-exp_binary64_19213` `cos-sum_binary64_19308` `distribute-rgt-in_binary64_19124`
2×	`-commutative_binary64_19105` `flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-l*_binary64_19115`

Counts

4 → 62

Calls

4 calls:

7.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
7.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
6.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
3.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

series141.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
41.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
29.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
28.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5014	1254

prune186.0ms (1.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	52	22	74
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	23	76

Error

43.2b

Counts

76 → 23

Compiler

Compiled 2829 to 1983 computations (29.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 (.f64 x 1) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))))
1.8b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
34.4b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_19212`
13×	`add-cbrt-cube_binary64_19210` `pow1_binary64_19235`
8×	`prod-exp_binary64_19223`
6×	`cbrt-unprod_binary64_19207` `associate-r_binary64_19114` `pow-prod-down_binary64_19245`
5×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
3×	`add-log-exp_binary64_19213`
2×	`distribute-lft-in_binary64_19123` `associate-r/_binary64_19116` `-commutative_binary64_19105` `cos-sum_binary64_19308` `associate-l_binary64_19115` `distribute-rgt-in_binary64_19124`
1×	`flip3-+_binary64_19177` `flip-+_binary64_19148` `1-exp_binary64_19218`

Counts

3 → 50

Calls

3 calls:

8.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
7.0ms	(.f64 (.f64 x 1) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))))
3.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

series151.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

74.0ms	(.f64 (.f64 x 1) (cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))))
47.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
30.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5110	1040

prune131.0ms (1.1%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	44	15	59
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	48	34	82

Error

42.1b

Counts

82 → 34

Compiler

Compiled 2029 to 1582 computations (22% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune53.0ms (0.4%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	33	33
Picked	1	1
Done	0	0
Total	34	34

Error

42.1b

Counts

34 → 34

Compiler

Compiled 945 to 856 computations (9.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8))))
0.7b	(.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8))))
1.5b	(.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8)))))
34.7b	(cos.f64 (.f64 (.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8)))))

rewrite82.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`cbrt-div_binary64_19206`
44×	`associate-*r/_binary64_19116`
41×	`pow1_binary64_19235`
39×	`flip3-+_binary64_19177` `flip-+_binary64_19148`
36×	`frac-times_binary64_19184` `add-exp-log_binary64_19212`
23×	`pow-prod-down_binary64_19245`
22×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `add-sqr-sqrt_binary64_19196`
21×	`add-cbrt-cube_binary64_19210`
19×	`cbrt-prod_binary64_19205`
18×	`associate-*l/_binary64_19117`
14×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209`
13×	`associate-r_binary64_19114`
8×	`associate-l_binary64_19115`
6×	`swap-sqr_binary64_19141` `pow1/3_binary64_19256`
4×	`add-log-exp_binary64_19213` `unswap-sqr_binary64_19142`
3×	`*-commutative_binary64_19105`
2×	`pow-sqr_binary64_19147` `pow-prod-up_binary64_19244`
1×	`pow2_binary64_19255` `pow-plus_binary64_19237`

Counts

4 → 141

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8))))
15.0ms	(.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8)))))
11.0ms	(.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8))))
8.0ms	(cos.f64 (.f64 (.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8)))))

series251.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8)))))
50.0ms	(.f64 (.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8))))
38.0ms	(.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8))))
35.0ms	(cos.f64 (.f64 (.f64 (.f64 t b) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))) (cbrt.f64 (+.f64 1/16 (.f64 a 1/8))))) (cbrt.f64 (+.f64 1/16 (*.f64 a 1/8)))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5000	4173

prune355.0ms (3%)

Pruning

48 alts after pruning (47 fresh and 1 done)

	Pruned	Kept	Total
New	135	18	153
Fresh	3	29	32
Picked	1	0	1
Done	0	1	1
Total	139	48	187

Error

41.7b

Counts

187 → 48

Compiler

Compiled 5178 to 3994 computations (22.9% saved)

regimes3.1s (25.8%)

Accuracy

Total 4.5b remaining (10.3%)

Threshold costs 0b (0%)

Compiler

Compiled 39607 to 37511 computations (5.3% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 27 to 26 computations (3.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	118
1	67	118

end0.0ms (0%)

sample6.6s (56.1%)

Algorithm

1×

intervals

Results

1.7s	2396×	body	2048	valid
920.0ms	1884×	body	1024	valid
370.0ms	317×	body	4096	valid
331.0ms	939×	body	512	valid
235.0ms	2008×	body	128	valid
103.0ms	456×	body	256	valid

Compiler

Compiled 3162 to 2981 computations (5.7% saved)

Details

analyze254.0ms (2.1%)

sample133.0ms (1.1%)

simplify39.0ms (0.3%)

prune6.0ms (0.1%)

localize18.0ms (0.1%)

rewrite30.0ms (0.3%)

series141.0ms (1.2%)

simplify77.0ms (0.7%)

prune186.0ms (1.6%)

localize11.0ms (0.1%)

rewrite22.0ms (0.2%)

series151.0ms (1.3%)

simplify72.0ms (0.6%)

prune131.0ms (1.1%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune53.0ms (0.4%)

localize15.0ms (0.1%)

rewrite82.0ms (0.7%)

series251.0ms (2.1%)

simplify97.0ms (0.8%)

prune355.0ms (3%)

regimes3.1s (25.8%)

bsearch7.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.6s (56.1%)

Profiling