Details

analyze935.0ms (14.5%)

Algorithm

1×

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)

sample54.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	197×	body	128	valid
13.0ms	31×	body	1024	valid
5.0ms	20×	body	512	valid
5.0ms	58×	body	128	invalid
2.0ms	11×	body	512	invalid
1.0ms	8×	body	256	valid
1.0ms	3×	body	1024	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

simplify253.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (160.0ms)

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

Merged error: 30.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
4.5b	(.f64 (.f64 x (pow.f64 s 2)) x)
9.2b	(*.f64 x (pow.f64 s 2))
20.4b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`add-exp-log_binary64_457`
82×	`prod-exp_binary64_468`
34×	`add-cbrt-cube_binary64_455`
18×	`add-sqr-sqrt_binary64_441` `pow-exp_binary64_487` `pow-to-exp_binary64_488`
16×	`cbrt-unprod_binary64_452` `div-exp_binary64_470`
12×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r_binary64_359` `associate-l*_binary64_360`
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×	`times-frac_binary64_425` `sqr-pow_binary64_391` `-commutative_binary64_350` `unpow2_binary64_484` `associate-/l_binary64_364`
1×	`cos-2_binary64_561` `pow-prod-down_binary64_490` `clear-num_binary64_418` `div-inv_binary64_416` `frac-2neg_binary64_430` `associate-/r*_binary64_363` `div-sub_binary64_424`

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))
9.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
6.0ms	(*.f64 x (pow.f64 s 2))

series184.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
57.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
26.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
24.0ms	(*.f64 x (pow.f64 s 2))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5001	2228

prune134.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	8	132

Merged error: 2.2b

Counts

132 → 8

Compiler

Compiled 2703 to 1227 computations (54.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))
0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
6.9b	(.f64 s (.f64 c x))
6.9b	(.f64 s (.f64 c x))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

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

series186.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (.f64 c x)))))
26.0ms	(.f64 s (.f64 c x))
25.0ms	(.f64 (fabs.f64 (.f64 s (.f64 c x))) (fabs.f64 (.f64 s (*.f64 c x))))
25.0ms	(.f64 s (.f64 c x))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5021	1306

prune121.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	88	16	104

Merged error: 2.0b

Counts

104 → 16

Compiler

Compiled 2235 to 988 computations (55.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 1 (fabs.f64 (.f64 s (.f64 c x))))
0.6b	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
6.9b	(.f64 s (.f64 c x))
6.9b	(.f64 s (.f64 c x))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

5.0ms	(.f64 s (.f64 c x))
5.0ms	(.f64 s (.f64 c x))
4.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
3.0ms	(/.f64 1 (fabs.f64 (.f64 s (.f64 c x))))

series134.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(/.f64 (cos.f64 (.f64 x 2)) (fabs.f64 (.f64 s (*.f64 c x))))
26.0ms	(.f64 s (.f64 c x))
25.0ms	(.f64 s (.f64 c x))
24.0ms	(/.f64 1 (fabs.f64 (.f64 s (.f64 c x))))

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5028	1722

prune133.0ms (2.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	105	17	122

Merged error: 2.0b

Counts

122 → 17

Compiler

Compiled 3093 to 1316 computations (57.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.9b	(.f64 s (.f64 c x))
6.9b	(.f64 s (.f64 c x))
13.0b	(sqrt.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 c x)))))
13.0b	(sqrt.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 c x)))))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_441`
26×	`sqrt-prod_binary64_435`
22×	`*-un-lft-identity_binary64_419` `times-frac_binary64_425`
20×	`add-cube-cbrt_binary64_454`
18×	`pow1_binary64_480`
14×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
6×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`
4×	`add-log-exp_binary64_458`
2×	`sqrt-div_binary64_436` `inv-pow_binary64_504` `pow1/2_binary64_499` `div-inv_binary64_416` `associate-r_binary64_359` `*-commutative_binary64_350` `pow-flip_binary64_493`

Counts

4 → 92

Calls

4 calls:

5.0ms	(.f64 s (.f64 c x))
5.0ms	(.f64 s (.f64 c x))
3.0ms	(sqrt.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 c x)))))
3.0ms	(sqrt.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 c x)))))

series149.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 c x)))))
48.0ms	(sqrt.f64 (/.f64 1 (fabs.f64 (.f64 s (.f64 c x)))))
26.0ms	(.f64 s (.f64 c x))
24.0ms	(.f64 s (.f64 c x))

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5147	1470

prune138.0ms (2.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	105	16	121

Merged error: 2.0b

Counts

121 → 16

Compiler

Compiled 3702 to 1512 computations (59.2% saved)

regimes797.0ms (12.4%)

Compiler: Compiled 8632 to 6076 computations (29.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	15	28

end0.0ms (0%)

sample2.8s (42.8%)

Algorithm

1×

intervals

Results

487.0ms	6122×	body	128	valid
297.0ms	892×	body	1024	valid
151.0ms	1818×	body	128	invalid
151.0ms	637×	body	512	valid
64.0ms	203×	body	1024	invalid
55.0ms	241×	body	512	invalid
54.0ms	343×	body	256	valid
25.0ms	161×	body	256	invalid
3.0ms	6×	body	2048	valid

Compiler

Compiled 1430 to 1001 computations (30% saved)

Details

analyze935.0ms (14.5%)

sample54.0ms (0.8%)

simplify253.0ms (3.9%)

prune3.0ms (0%)

localize11.0ms (0.2%)

rewrite48.0ms (0.7%)

series184.0ms (2.9%)

simplify60.0ms (0.9%)

prune134.0ms (2.1%)

localize13.0ms (0.2%)

rewrite25.0ms (0.4%)

series186.0ms (2.9%)

simplify63.0ms (1%)

prune121.0ms (1.9%)

localize11.0ms (0.2%)

rewrite27.0ms (0.4%)

series134.0ms (2.1%)

simplify77.0ms (1.2%)

prune133.0ms (2.1%)

localize13.0ms (0.2%)

rewrite26.0ms (0.4%)

series149.0ms (2.3%)

simplify89.0ms (1.4%)

prune138.0ms (2.1%)

regimes797.0ms (12.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (42.8%)

Profiling