Details

analyze1.1s (8.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5083	96
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
26.5%	72.9%	0.5%	9
38.2%	60.7%	1.1%	10
41.7%	54.9%	3.4%	11
47.6%	47.4%	5%	12
53.4%	39.4%	7.2%	13
54.9%	34.5%	10.6%	14

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample65.0ms (0.5%)

Algorithm

1×

intervals

Results

17.0ms	190×	body	128	valid
12.0ms	39×	body	1024	valid
5.0ms	65×	body	128	invalid
4.0ms	19×	body	512	valid
2.0ms	6×	body	1024	invalid
1.0ms	6×	body	512	invalid
1.0ms	8×	body	256	valid
0.0ms	2×	body	256	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	7278	24

prune3.0ms (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

29.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
4.6b	(.f64 (.f64 x (pow.f64 s 2)) x)
6.4b	(*.f64 x (pow.f64 s 2))
20.7b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite363.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

14.4b

Rules

122×	`add-exp-log_binary64_457`
82×	`prod-exp_binary64_468`
34×	`add-cbrt-cube_binary64_455`
18×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `add-sqr-sqrt_binary64_441`
16×	`cbrt-unprod_binary64_452` `div-exp_binary64_470`
12×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-l_binary64_360` `associate-r*_binary64_359`
7×	`unpow-prod-down_binary64_498`
6×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `cbrt-undiv_binary64_453`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `-commutative_binary64_350` `times-frac_binary64_425` `associate-/l_binary64_364`
1×	`pow-prod-down_binary64_490` `frac-2neg_binary64_430` `cos-2_binary64_561` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/r*_binary64_363`

Counts

4 → 119

Calls

4 calls:

11.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
10.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
6.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
6.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 2836 to 1920 computations (32.3% saved)

series656.0ms (4.8%)

Error

27.4b

Counts

4 → 31

Calls

4 calls:

323.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
175.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
75.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
51.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 1507 to 1303 computations (13.5% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4991	2501
1	4991	2501

prune166.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	135	15	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	15	151

Error

1.4b

Counts

151 → 15

Compiler

Compiled 3126 to 1527 computations (51.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))
0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
4.9b	(.f64 s (.f64 x c))
4.9b	(.f64 s (.f64 x c))

rewrite125.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

21×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
14×	`add-sqr-sqrt_binary64_441`
12×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`associate-l_binary64_360`
8×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
7×	`pow-prod-down_binary64_490`
5×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458`
3×	`-commutative_binary64_350` `times-frac_binary64_425` `associate-/l_binary64_364` `swap-sqr_binary64_386`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`frac-2neg_binary64_430` `cos-2_binary64_561` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/r*_binary64_363` `pow2_binary64_500` `pow-prod-up_binary64_489` `pow-plus_binary64_482` `sqr-abs_binary64_434` `pow-sqr_binary64_392` `unswap-sqr_binary64_387`

Counts

4 → 84

Calls

4 calls:

5.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
5.0ms	(.f64 s (.f64 x c))
5.0ms	(.f64 s (.f64 x c))
4.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 2197 to 640 computations (70.9% saved)

series655.0ms (4.7%)

Error

1.4b

Counts

4 → 39

Calls

4 calls:

344.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
97.0ms	(.f64 s (.f64 x c))
91.0ms	(.f64 s (.f64 x c))
91.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 1895 to 1137 computations (40% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4957	1759
1	4957	1759

prune144.0ms (1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	112	11	123
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	121	17	138

Error

1.1b

Counts

138 → 17

Compiler

Compiled 2731 to 1152 computations (57.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
0.9b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
4.9b	(.f64 s (.f64 x c))
4.9b	(.f64 s (.f64 x c))

rewrite193.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

84×	`times-frac_binary64_425`
56×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
21×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
16×	`associate-/l*_binary64_364`
14×	`pow1_binary64_480`
6×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360` `div-inv_binary64_416` `associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`associate-r_binary64_359` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`associate-/l/_binary64_366`

Counts

4 → 133

Calls

4 calls:

6.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
5.0ms	(.f64 s (.f64 x c))
5.0ms	(.f64 s (.f64 x c))
4.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))

Compiler

Compiled 4262 to 1412 computations (66.9% saved)

series776.0ms (5.6%)

Error

1.1b

Counts

4 → 42

Calls

4 calls:

341.0ms	(/.f64 (/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (.f64 x c)))) (fabs.f64 (.f64 s (*.f64 x c))))
216.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
97.0ms	(.f64 s (.f64 x c))
91.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 2252 to 1220 computations (45.8% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4975	4664
1	4975	4664

prune204.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	168	7	175
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	173	19	192

Error

1.1b

Counts

192 → 19

Compiler

Compiled 4889 to 1923 computations (60.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 x c))) (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 x c))))
0.9b	(/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 x c))) (cos.f64 (*.f64 x 2))))
4.9b	(.f64 s (.f64 x c))
4.9b	(.f64 s (.f64 x c))

rewrite595.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

471×	`times-frac_binary64_425`
233×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
47×	`associate-/l*_binary64_364`
44×	`add-exp-log_binary64_457`
28×	`add-cbrt-cube_binary64_455`
22×	`div-inv_binary64_416`
21×	`div-exp_binary64_470`
16×	`associate-/r*_binary64_363`
15×	`pow1_binary64_480`
9×	`cbrt-undiv_binary64_453`
6×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
5×	`associate-/r/_binary64_365`
4×	`add-log-exp_binary64_458` `1-exp_binary64_463` `rec-exp_binary64_469`
2×	`associate-r_binary64_359` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `associate-/l/_binary64_366`

Counts

4 → 312

Calls

4 calls:

15.0ms	(/.f64 (/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 x c))) (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 x c))))
9.0ms	(/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 x c))) (cos.f64 (*.f64 x 2))))
5.0ms	(.f64 s (.f64 x c))
5.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 12312 to 5142 computations (58.2% saved)

series783.0ms (5.7%)

Error

1.1b

Counts

4 → 42

Calls

4 calls:

366.0ms	(/.f64 (/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 x c))) (cos.f64 (.f64 x 2)))) (fabs.f64 (.f64 s (*.f64 x c))))
204.0ms	(/.f64 1 (/.f64 (fabs.f64 (.f64 s (.f64 x c))) (cos.f64 (*.f64 x 2))))
94.0ms	(.f64 s (.f64 x c))
86.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 2360 to 1328 computations (43.7% saved)

simplify175.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

354 → 354

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4974	13080
1	4974	13080

prune531.0ms (3.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	354	0	354
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	354	19	373

Error

1.1b

Counts

373 → 19

Compiler

Compiled 11058 to 4673 computations (57.7% saved)

regimes1.8s (13.2%)

Accuracy

Total 1.7b remaining (61.9%)

Threshold costs 0b (0%)

Compiler

Compiled 24812 to 17243 computations (30.5% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	31
1	18	31

Compiler

Compiled 40 to 26 computations (35% saved)

end0.0ms (0%)

sample5.0s (36%)

Algorithm

1×

intervals

Results

464.0ms	6067×	body	128	valid
332.0ms	995×	body	1024	valid
158.0ms	1925×	body	128	invalid
142.0ms	607×	body	512	valid
73.0ms	195×	body	1024	invalid
53.0ms	238×	body	512	invalid
50.0ms	327×	body	256	valid
26.0ms	167×	body	256	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 3828 to 2617 computations (31.6% saved)

Details

analyze1.1s (8.2%)

sample65.0ms (0.5%)

simplify176.0ms (1.3%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite363.0ms (2.6%)

series656.0ms (4.8%)

simplify76.0ms (0.5%)

prune166.0ms (1.2%)

localize9.0ms (0.1%)

rewrite125.0ms (0.9%)

series655.0ms (4.7%)

simplify68.0ms (0.5%)

prune144.0ms (1%)

localize10.0ms (0.1%)

rewrite193.0ms (1.4%)

series776.0ms (5.6%)

simplify82.0ms (0.6%)

prune204.0ms (1.5%)

localize11.0ms (0.1%)

rewrite595.0ms (4.3%)

series783.0ms (5.7%)

simplify175.0ms (1.3%)

prune531.0ms (3.8%)

regimes1.8s (13.2%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample5.0s (36%)

Profiling