Details

analyze1.4s (12.4%)

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

Symmetry

sort(c s)

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample61.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	194×	body	128	valid
9.0ms	29×	body	1024	valid
5.0ms	61×	body	128	invalid
4.0ms	20×	body	512	valid
2.0ms	6×	body	1024	invalid
2.0ms	13×	body	256	valid
1.0ms	6×	body	512	invalid
1.0ms	7×	body	256	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

simplify172.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

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

29.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
2.6b	(.f64 (.f64 x (pow.f64 s 2)) x)
8.7b	(*.f64 x (pow.f64 s 2))
19.3b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite216.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

13.8b

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)

series678.0ms (6%)

Error

28.3b

Counts

4 → 31

Calls

4 calls:

329.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
187.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
77.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
57.0ms	(*.f64 x (pow.f64 s 2))

Compiler

Compiled 1507 to 1303 computations (13.5% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4991	2501
1	4991	2501

prune159.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	138	12	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	12	151

Error

1.8b

Counts

151 → 12

Compiler

Compiled 3056 to 1479 computations (51.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))
0.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
6.1b	(.f64 s (.f64 x c))
6.1b	(.f64 s (.f64 x c))

rewrite129.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

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 s (.f64 x c))
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))
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)

series669.0ms (5.9%)

Error

1.8b

Counts

4 → 39

Calls

4 calls:

358.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (.f64 x c)))))
94.0ms	(.f64 s (.f64 x c))
94.0ms	(.f64 (fabs.f64 (.f64 s (.f64 x c))) (fabs.f64 (.f64 s (*.f64 x c))))
93.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 1895 to 1137 computations (40% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4957	1759
1	4957	1759

prune146.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	112	11	123
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	119	16	135

Error

1.4b

Counts

135 → 16

Compiler

Compiled 2724 to 1145 computations (58% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (fabs.f64 (.f64 s (.f64 x c))))
0.5b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
6.1b	(.f64 s (.f64 x c))
6.1b	(.f64 s (.f64 x c))

rewrite131.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

22×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
20×	`add-exp-log_binary64_457`
18×	`add-cbrt-cube_binary64_455` `times-frac_binary64_425`
15×	`pow1_binary64_480`
6×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360` `associate-/l_binary64_364` `associate-/r_binary64_363`
4×	`add-log-exp_binary64_458`
3×	`div-exp_binary64_470`
2×	`associate-r_binary64_359` `*-commutative_binary64_350` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `1-exp_binary64_463` `rec-exp_binary64_469`

Counts

4 → 94

Calls

4 calls:

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))))
3.0ms	(/.f64 1 (fabs.f64 (.f64 s (.f64 x c))))

Compiler

Compiled 2631 to 1016 computations (61.4% saved)

series553.0ms (4.8%)

Error

1.4b

Counts

4 → 39

Calls

4 calls:

211.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 x c))))
120.0ms	(/.f64 1 (fabs.f64 (.f64 s (.f64 x c))))
96.0ms	(.f64 s (.f64 x c))
93.0ms	(.f64 s (.f64 x c))

Compiler

Compiled 2392 to 1297 computations (45.8% saved)

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5022	2128

prune162.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	127	6	133
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	134	15	149

Error

1.4b

Counts

149 → 15

Compiler

Compiled 3693 to 1498 computations (59.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.1b	(.f64 s (.f64 x c))
6.1b	(.f64 s (.f64 x c))
14.4b	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))
14.4b	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))

rewrite97.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

16×	`pow1_binary64_480`
14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`add-sqr-sqrt_binary64_441`
8×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`sqrt-prod_binary64_435` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
2×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `associate-r_binary64_359` `*-commutative_binary64_350`

Counts

4 → 62

Calls

4 calls:

5.0ms	(.f64 s (.f64 x c))
5.0ms	(.f64 s (.f64 x c))
1.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))
1.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))

Compiler

Compiled 2290 to 781 computations (65.9% saved)

series398.0ms (3.5%)

Error

1.4b

Counts

4 → 36

Calls

4 calls:

100.0ms	(.f64 s (.f64 x c))
100.0ms	(.f64 s (.f64 x c))
82.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))
80.0ms	(sqrt.f64 (fabs.f64 (.f64 s (.f64 x c))))

Compiler

Compiled 3348 to 1591 computations (52.5% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4985	980
1	4985	980

prune110.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	98	15	113

Error

1.4b

Counts

113 → 15

Compiler

Compiled 3290 to 1132 computations (65.6% saved)

regimes1.6s (13.9%)

Accuracy

Total 1.5b remaining (58%)

Threshold costs 0b (0%)

Compiler

Compiled 22169 to 15139 computations (31.7% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	28
1	15	28

Removed

((sort c s))

Compiler

Compiled 36 to 22 computations (38.9% saved)

end0.0ms (0%)

sample4.3s (38.1%)

Algorithm

1×

intervals

Results

465.0ms	6091×	body	128	valid
305.0ms	952×	body	1024	valid
160.0ms	1885×	body	128	invalid
148.0ms	606×	body	512	valid
60.0ms	193×	body	1024	invalid
54.0ms	348×	body	256	valid
53.0ms	237×	body	512	invalid
22.0ms	140×	body	256	invalid
1.0ms	3×	body	2048	valid

Compiler

Compiled 3447 to 2311 computations (33% saved)

Details

analyze1.4s (12.4%)

sample61.0ms (0.5%)

simplify172.0ms (1.5%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite216.0ms (1.9%)

series678.0ms (6%)

simplify77.0ms (0.7%)

prune159.0ms (1.4%)

localize9.0ms (0.1%)

rewrite129.0ms (1.1%)

series669.0ms (5.9%)

simplify70.0ms (0.6%)

prune146.0ms (1.3%)

localize11.0ms (0.1%)

rewrite131.0ms (1.2%)

series553.0ms (4.8%)

simplify83.0ms (0.7%)

prune162.0ms (1.4%)

localize17.0ms (0.1%)

rewrite97.0ms (0.9%)

series398.0ms (3.5%)

simplify80.0ms (0.7%)

prune110.0ms (1%)

regimes1.6s (13.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample4.3s (38.1%)

Profiling