Details

analyze2.3s (9.9%)

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
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample121.0ms (0.5%)

Algorithm

1×

intervals

Results

66.0ms	123×	body	1024	valid
15.0ms	41×	body	512	valid
9.0ms	71×	body	128	valid
5.0ms	17×	body	256	valid
4.0ms	4×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify177.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

prune4.0ms (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

15.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 r (sin.f64 b))
0.3b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.2b	(cos.f64 (+.f64 a b))

rewrite108.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
9×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
5×	`pow1_binary64_480`
3×	`add-log-exp_binary64_458` `times-frac_binary64_425` `associate-/r_binary64_363` `associate-l_binary64_360` `associate-r*_binary64_359`
2×	`prod-exp_binary64_468` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `cbrt-unprod_binary64_452`
1×	`cos-sum_binary64_553` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `-commutative_binary64_350`

Counts

3 → 47

Calls

3 calls:

9.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
8.0ms	(*.f64 r (sin.f64 b))
8.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 725 to 158 computations (78.2% saved)

series733.0ms (3.2%)

Error

14.4b

Counts

3 → 34

Calls

3 calls:

472.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
114.0ms	(*.f64 r (sin.f64 b))
79.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1416 to 851 computations (39.9% saved)

simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5028	1388

prune171.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	69	12	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	12	82

Error

0.2b

Counts

82 → 12

Compiler

Compiled 1487 to 497 computations (66.6% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 r (sin.f64 b))
0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite223.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_441`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
5×	`sin-mult_binary64_574`
4×	`cos-mult_binary64_573` `associate-/r/_binary64_365`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `times-frac_binary64_425` `associate-/r*_binary64_363`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 76

Calls

4 calls:

17.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
10.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
9.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
8.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1946 to 307 computations (84.2% saved)

series1.7s (7.4%)

Error

0.2b

Counts

4 → 47

Calls

4 calls:

1.0s	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
271.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
201.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
136.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 2502 to 1389 computations (44.5% saved)

simplify151.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4975	2535
1	4975	2535

prune265.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	111	12	123
Fresh	9	2	11
Picked	1	0	1
Done	0	0	0
Total	121	14	135

Error

0.0b

Counts

135 → 14

Compiler

Compiled 3118 to 824 computations (73.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 b) (cos.f64 a))
0.1b	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
0.2b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
0.2b	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))

rewrite227.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_441`
29×	`*-un-lft-identity_binary64_419`
19×	`add-cube-cbrt_binary64_454`
18×	`times-frac_binary64_425`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`associate-/r*_binary64_363`
6×	`pow1_binary64_480` `add-log-exp_binary64_458`
5×	`difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`
4×	`associate-/l*_binary64_364`
3×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `cancel-sign-sub-inv_binary64_385` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `cos-mult_binary64_573` `flip3--_binary64_423` `associate-/r/_binary64_365` `flip--_binary64_394`
1×	`associate-/l/_binary64_366` `diff-log_binary64_511` `sub-neg_binary64_412` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 94

Calls

4 calls:

17.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
16.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
11.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
9.0ms	(*.f64 (cos.f64 b) (cos.f64 a))

Compiler

Compiled 2167 to 410 computations (81.1% saved)

series1.8s (7.7%)

Error

0.0b

Counts

4 → 49

Calls

4 calls:

919.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
328.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
269.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
176.0ms	(*.f64 (cos.f64 b) (cos.f64 a))

Compiler

Compiled 2298 to 1365 computations (40.6% saved)

simplify119.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5127	3364

prune267.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	144	13	157

Error

0.0b

Counts

157 → 13

Compiler

Compiled 3306 to 844 computations (74.5% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
0.2b	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))
0.2b	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
0.3b	(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))

rewrite280.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

50×	`add-sqr-sqrt_binary64_441`
44×	`*-un-lft-identity_binary64_419`
35×	`times-frac_binary64_425`
27×	`add-cube-cbrt_binary64_454`
22×	`add-exp-log_binary64_457`
21×	`associate-r_binary64_359`
16×	`add-cbrt-cube_binary64_455`
8×	`difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `associate-/r*_binary64_363`
7×	`pow1_binary64_480`
6×	`div-exp_binary64_470` `add-log-exp_binary64_458`
5×	`prod-exp_binary64_468`
4×	`cbrt-undiv_binary64_453` `associate-/r/_binary64_365` `associate-/l*_binary64_364`
3×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `associate-l_binary64_360` `cancel-sign-sub-inv_binary64_385`
2×	`1-exp_binary64_463` `rec-exp_binary64_469` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `cos-mult_binary64_573` `associate-/l/_binary64_366` `pow-prod-down_binary64_490` `un-div-inv_binary64_417` `associate-r/_binary64_361` `-commutative_binary64_350` `diff-log_binary64_511` `sub-neg_binary64_412`

Counts

4 → 123

Calls

4 calls:

27.0ms	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))
17.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
13.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
10.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))

Compiler

Compiled 3294 to 874 computations (73.5% saved)

series2.1s (9.1%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

889.0ms	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))
518.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
317.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
294.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))

Compiler

Compiled 2653 to 1645 computations (38% saved)

simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5631	4529

prune271.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	174	12	186

Error

0.0b

Counts

186 → 12

Compiler

Compiled 4030 to 1099 computations (72.7% saved)

regimes2.6s (11.2%)

Accuracy

Total 0.4b remaining (96.9%)

Threshold costs 0.4b (96.9%)

Compiler

Compiled 13702 to 8302 computations (39.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	21
1	23	21

end0.0ms (0%)

sample9.2s (39.6%)

Algorithm

1×

intervals

Results

2.0s	3530×	body	1024	valid
536.0ms	1412×	body	512	valid
307.0ms	2283×	body	128	valid
214.0ms	185×	body	2048	valid
151.0ms	590×	body	256	valid

Compiler

Compiled 3415 to 2076 computations (39.2% saved)

Details

analyze2.3s (9.9%)

sample121.0ms (0.5%)

simplify177.0ms (0.8%)

prune4.0ms (0%)

localize17.0ms (0.1%)

rewrite108.0ms (0.5%)

series733.0ms (3.2%)

simplify108.0ms (0.5%)

prune171.0ms (0.7%)

localize26.0ms (0.1%)

rewrite223.0ms (1%)

series1.7s (7.4%)

simplify151.0ms (0.7%)

prune265.0ms (1.1%)

localize25.0ms (0.1%)

rewrite227.0ms (1%)

series1.8s (7.7%)

simplify119.0ms (0.5%)

prune267.0ms (1.2%)

localize33.0ms (0.1%)

rewrite280.0ms (1.2%)

series2.1s (9.1%)

simplify145.0ms (0.6%)

prune271.0ms (1.2%)

regimes2.6s (11.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample9.2s (39.6%)

Profiling