Details

analyze248.0ms (1.7%)

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)

sample141.0ms (0.9%)

Algorithm

1×

intervals

Results

67.0ms	88×	body	2048	valid
26.0ms	58×	body	1024	valid
16.0ms	14×	body	4096	valid
8.0ms	25×	body	512	valid
6.0ms	63×	body	128	valid
2.0ms	8×	body	256	valid

Compiler

Compiled 55 to 59 computations (-7.3% saved)

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	990	35
1	990	35

prune6.0ms (0%)

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

47.7b

Counts

2 → 2

Compiler

Compiled 73 to 70 computations (4.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
2.4b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
36.5b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
37.1b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

rewrite157.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

45.4b

Rules

14×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
6×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `-un-lft-identity_binary64_21220` `pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `associate-r*_binary64_21160`
4×	`distribute-rgt-in_binary64_21170` `cos-sum_binary64_21354` `distribute-lft-in_binary64_21169` `add-log-exp_binary64_21259` `associate-*r/_binary64_21162`
2×	`flip3-+_binary64_21223` `flip-+_binary64_21194` `associate-l_binary64_21161` `*-commutative_binary64_21151`

Counts

4 → 62

Calls

4 calls:

7.0ms	(.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))))

Compiler

Compiled 2016 to 1293 computations (35.9% saved)

series663.0ms (4.4%)

Error

42.9b

Counts

4 → 49

Calls

4 calls:

167.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
165.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
134.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
123.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

Compiler

Compiled 3831 to 3126 computations (18.4% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5039	1880

prune214.0ms (1.4%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	87	24	111
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	89	24	113

Error

42.4b

Counts

113 → 24

Compiler

Compiled 3748 to 2614 computations (30.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
2.4b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
36.5b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite100.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

41.8b

Rules

10×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
8×	`add-sqr-sqrt_binary64_21242`
6×	`add-cube-cbrt_binary64_21255` `-un-lft-identity_binary64_21220` `associate-r*_binary64_21160`
4×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `associate-l_binary64_21161`
3×	`add-log-exp_binary64_21259`
2×	`distribute-rgt-in_binary64_21170` `cos-sum_binary64_21354` `distribute-lft-in_binary64_21169` `associate-r/_binary64_21162` `-commutative_binary64_21151`
1×	`flip3-+_binary64_21223` `flip-+_binary64_21194` `unswap-sqr_binary64_21188`

Counts

3 → 49

Calls

3 calls:

7.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
5.0ms	(.f64 x (cos.f64 (.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))))

Compiler

Compiled 1162 to 779 computations (33% saved)

series628.0ms (4.2%)

Error

41.1b

Counts

3 → 41

Calls

3 calls:

284.0ms	(.f64 x (cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (.f64 y 1/8)))))
166.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
131.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

Compiler

Compiled 2424 to 2141 computations (11.7% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5160	1741

prune167.0ms (1.1%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	75	15	90
Fresh	3	20	23
Picked	0	1	1
Done	0	0	0
Total	78	36	114

Error

40.8b

Counts

114 → 36

Compiler

Compiled 2667 to 2053 computations (23% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

40.8b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 40.8b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune53.0ms (0.4%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	34	34
Picked	1	1
Done	1	1
Total	36	36

Error

40.8b

Counts

36 → 36

Compiler

Compiled 960 to 894 computations (6.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
0.2b	(.f64 1/16 (.f64 t z))
31.0b	(cos.f64 (.f64 1/16 (.f64 t z)))

rewrite70.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

40.4b

Rules

10×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
8×	`add-sqr-sqrt_binary64_21242`
6×	`add-cube-cbrt_binary64_21255` `-un-lft-identity_binary64_21220` `associate-l*_binary64_21161`
4×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `associate-r_binary64_21160`
3×	`add-log-exp_binary64_21259`
2×	`*-commutative_binary64_21151`
1×	`unswap-sqr_binary64_21188`

Counts

3 → 43

Calls

3 calls:

6.0ms	(.f64 1/16 (.f64 t z))
5.0ms	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
3.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 710 to 459 computations (35.4% saved)

series236.0ms (1.6%)

Error

40.8b

Counts

3 → 25

Calls

3 calls:

129.0ms	(.f64 x (cos.f64 (.f64 1/16 (*.f64 t z))))
54.0ms	(.f64 1/16 (.f64 t z))
38.0ms	(cos.f64 (.f64 1/16 (.f64 t z)))

Compiler

Compiled 766 to 819 computations (-6.9% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4985	751
1	4985	751

prune62.0ms (0.4%)

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	58	10	68
Fresh	6	27	33
Picked	1	0	1
Done	0	2	2
Total	65	39	104

Error

40.4b

Counts

104 → 39

Compiler

Compiled 875 to 557 computations (36.3% saved)

regimes4.5s (30.1%)

Accuracy

Total 4.5b remaining (10.4%)

Threshold costs 0b (0%)

Compiler

Compiled 53504 to 49744 computations (7% saved)

bsearch9.0ms (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	69	118
1	69	118

end0.0ms (0%)

sample7.4s (49.5%)

Algorithm

1×

intervals

Results

1.6s	2359×	body	2048	valid
850.0ms	1842×	body	1024	valid
360.0ms	309×	body	4096	valid
340.0ms	1019×	body	512	valid
212.0ms	2045×	body	128	valid
97.0ms	426×	body	256	valid

Compiler

Compiled 4231 to 3922 computations (7.3% saved)

Details

analyze248.0ms (1.7%)

sample141.0ms (0.9%)

simplify40.0ms (0.3%)

prune6.0ms (0%)

localize18.0ms (0.1%)

rewrite157.0ms (1%)

series663.0ms (4.4%)

simplify52.0ms (0.3%)

prune214.0ms (1.4%)

localize13.0ms (0.1%)

rewrite100.0ms (0.7%)

series628.0ms (4.2%)

simplify60.0ms (0.4%)

prune167.0ms (1.1%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0%)

prune53.0ms (0.4%)

localize8.0ms (0.1%)

rewrite70.0ms (0.5%)

series236.0ms (1.6%)

simplify79.0ms (0.5%)

prune62.0ms (0.4%)

regimes4.5s (30.1%)

bsearch9.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.4s (49.5%)

Profiling