Details

analyze3.0ms (0%)

Algorithm

1×

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)

sample323.0ms (3.7%)

Algorithm

1×

intervals

Results

232.0ms	60×	body	1024	valid
47.0ms	71×	body	2048	valid
10.0ms	32×	body	512	valid
8.0ms	68×	body	128	valid
8.0ms	7×	body	4096	valid
4.0ms	18×	body	256	valid

Compiler

Compiled 55 to 59 computations (-7.3% saved)

simplify138.0ms (1.6%)

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

44.9b

Counts

2 → 2

Compiler

Compiled 73 to 70 computations (4.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
3.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
32.6b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
34.6b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
6×	`cbrt-unprod_binary64_21594` `add-sqr-sqrt_binary64_21583` `associate-r_binary64_21501` `*-un-lft-identity_binary64_21561` `prod-exp_binary64_21610` `add-cube-cbrt_binary64_21596` `pow-prod-down_binary64_21632`
4×	`distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `associate-*r/_binary64_21503` `add-log-exp_binary64_21600` `cos-sum_binary64_21695`
2×	`flip-+_binary64_21535` `flip3-+_binary64_21564` `-commutative_binary64_21492` `associate-l*_binary64_21502`

Counts

4 → 62

Calls

4 calls:

8.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
7.0ms	(.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))))
3.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

series154.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
45.0ms	(.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))))
27.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5014	1254

prune173.0ms (2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	53	21	74
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	21	76

Error

39.9b

Counts

76 → 21

Compiler

Compiled 2778 to 1934 computations (30.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
2.8b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
32.6b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
8×	`add-sqr-sqrt_binary64_21583`
6×	`associate-r_binary64_21501` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
4×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `associate-l_binary64_21502` `pow-prod-down_binary64_21632`
3×	`add-log-exp_binary64_21600`
2×	`distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `associate-r/_binary64_21503` `-commutative_binary64_21492` `cos-sum_binary64_21695`
1×	`flip-+_binary64_21535` `flip3-+_binary64_21564` `unswap-sqr_binary64_21529`

Counts

3 → 49

Calls

3 calls:

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

series145.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

74.0ms	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
42.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
28.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5111	1048

prune135.0ms (1.5%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	43	15	58
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	46	33	79

Error

38.9b

Counts

79 → 33

Compiler

Compiled 2085 to 1619 computations (22.4% saved)

localize2.0ms (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

prune51.0ms (0.6%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	32	32
Picked	1	1
Done	0	0
Total	33	33

Error

38.9b

Counts

33 → 33

Compiler

Compiled 954 to 854 computations (10.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

25.6b	(cos.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
25.7b	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
27.0b	(cos.f64 (.f64 1/16 (.f64 z t)))
27.1b	(sin.f64 (.f64 1/16 (.f64 z t)))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561` `add-exp-log_binary64_21599` `add-cube-cbrt_binary64_21596` `add-log-exp_binary64_21600` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`

Counts

4 → 28

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
3.0ms	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
2.0ms	(sin.f64 (.f64 1/16 (.f64 z t)))
2.0ms	(cos.f64 (.f64 1/16 (.f64 z t)))

series68.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(sin.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
19.0ms	(cos.f64 (.f64 (.f64 z t) (*.f64 y 1/8)))
13.0ms	(sin.f64 (.f64 1/16 (.f64 z t)))
11.0ms	(cos.f64 (.f64 1/16 (.f64 z t)))

simplify157.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	5413	506

prune72.0ms (0.8%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	0	31	31
Picked	1	0	1
Done	0	1	1
Total	35	38	73

Error

38.8b

Counts

73 → 38

Compiler

Compiled 1540 to 916 computations (40.5% saved)

regimes1.7s (19.6%)

Accuracy

Total 4.8b remaining (10.9%)

Threshold costs 0b (0%)

Compiler

Compiled 22265 to 20130 computations (9.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	1
1	6	1

end0.0ms (0%)

sample5.4s (61.1%)

Algorithm

1×

intervals

Results

1.7s	2411×	body	2048	valid
901.0ms	1902×	body	1024	valid
398.0ms	321×	body	4096	valid
308.0ms	899×	body	512	valid
232.0ms	2031×	body	128	valid
106.0ms	436×	body	256	valid

Compiler

Compiled 1752 to 1590 computations (9.2% saved)

Details

analyze3.0ms (0%)

sample323.0ms (3.7%)

simplify138.0ms (1.6%)

prune6.0ms (0.1%)

localize17.0ms (0.2%)

rewrite27.0ms (0.3%)

series154.0ms (1.7%)

simplify77.0ms (0.9%)

prune173.0ms (2%)

localize10.0ms (0.1%)

rewrite22.0ms (0.3%)

series145.0ms (1.6%)

simplify79.0ms (0.9%)

prune135.0ms (1.5%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune51.0ms (0.6%)

localize19.0ms (0.2%)

rewrite13.0ms (0.2%)

series68.0ms (0.8%)

simplify157.0ms (1.8%)

prune72.0ms (0.8%)

regimes1.7s (19.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.4s (61.1%)

Profiling