Details

analyze633.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5007	54
0	2	2
1	2	2

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
15.6%	84.3%	0.1%	6
37.5%	62.4%	0.1%	7
46.8%	53.1%	0.1%	8
57.8%	39.8%	2.4%	9
64.6%	30.4%	5%	10
71.8%	20.3%	7.9%	11
74.1%	16.2%	9.7%	12
77.4%	10.7%	12%	13
78.6%	8.4%	13%	14

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample43.0ms (0.2%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
1.0ms	8×	body	128	invalid

Compiler

Compiled 43 to 37 computations (14% saved)

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5241	29

prune8.0ms (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

16.5b

Counts

2 → 2

Compiler

Compiled 59 to 47 computations (20.3% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
0.5b	(/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (.f64 a a)))
4.2b	(-.f64 (.f64 b b) (.f64 a a))
11.6b	(.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite962.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

251×	`times-frac_binary64_425`
178×	`add-sqr-sqrt_binary64_441`
153×	`*-un-lft-identity_binary64_419`
121×	`add-cube-cbrt_binary64_454`
58×	`associate-l_binary64_360`
46×	`difference-of-squares_binary64_388`
40×	`cancel-sign-sub-inv_binary64_385`
22×	`div-inv_binary64_416`
19×	`associate-r_binary64_359`
18×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
14×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out--_binary64_371`
13×	`associate-/l*_binary64_364`
8×	`add-log-exp_binary64_458`
6×	`pow1_binary64_480` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `flip3--_binary64_423` `flip--_binary64_394`
4×	`sub-neg_binary64_412` `associate-/r/_binary64_365` `associate-/r*_binary64_363`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-sub_binary64_428` `frac-times_binary64_429` `unswap-sqr_binary64_387` `associate-*r/_binary64_361`
2×	`diff-log_binary64_511`
1×	`pow-prod-down_binary64_490` `associate-l/_binary64_362` `-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l/_binary64_366`

Counts

4 → 270

Calls

4 calls:

86.0ms	(.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
27.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))
16.0ms	(/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (.f64 a a)))
7.0ms	(-.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 8765 to 4259 computations (51.4% saved)

series732.0ms (4.1%)

Error

11.9b

Counts

4 → 48

Calls

4 calls:

215.0ms	(.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
173.0ms	(-.f64 (.f64 b b) (.f64 a a))
155.0ms	(/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (.f64 a a)))
109.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 2277 to 1783 computations (21.7% saved)

simplify243.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4979	8606
1	4979	8606

prune724.0ms (4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	307	11	318
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	309	11	320

Error

0.0b

Counts

320 → 11

Compiler

Compiled 9020 to 4311 computations (52.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 b a))
0.2b	(.f64 (/.f64 1 (+.f64 b a)) (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a))))
0.3b	(/.f64 (/.f64 PI.f64 2) (-.f64 b a))
0.3b	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a)))

rewrite1.2s (6.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

274×	`times-frac_binary64_425`
216×	`add-sqr-sqrt_binary64_441`
213×	`*-un-lft-identity_binary64_419`
129×	`add-cube-cbrt_binary64_454`
82×	`add-exp-log_binary64_457`
72×	`associate-r_binary64_359`
52×	`add-cbrt-cube_binary64_455`
37×	`associate-l_binary64_360`
36×	`difference-of-squares_binary64_388`
34×	`distribute-lft-out--_binary64_371`
31×	`prod-exp_binary64_468`
28×	`div-exp_binary64_470`
19×	`div-inv_binary64_416`
17×	`cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453`
16×	`frac-times_binary64_429` `associate-/l*_binary64_364`
12×	`pow1_binary64_480`
10×	`associate-l/_binary64_362` `associate-r/_binary64_361`
9×	`associate-/r*_binary64_363`
8×	`flip3--_binary64_423` `flip--_binary64_394` `associate-/r/_binary64_365`
7×	`distribute-lft-out_binary64_370`
6×	`frac-sub_binary64_428`
5×	`1-exp_binary64_463` `rec-exp_binary64_469`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458`
3×	`unswap-sqr_binary64_387`
2×	`*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393`
1×	`associate-/l/_binary64_366` `inv-pow_binary64_504` `pow-flip_binary64_493`

Counts

4 → 320

Calls

4 calls:

92.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a)))
59.0ms	(.f64 (/.f64 1 (+.f64 b a)) (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a))))
15.0ms	(/.f64 (/.f64 PI.f64 2) (-.f64 b a))
10.0ms	(/.f64 1 (+.f64 b a))

Compiler

Compiled 10484 to 5984 computations (42.9% saved)

series934.0ms (5.2%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

228.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a)))
214.0ms	(/.f64 (/.f64 PI.f64 2) (-.f64 b a))
211.0ms	(.f64 (/.f64 1 (+.f64 b a)) (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a))))
149.0ms	(/.f64 1 (+.f64 b a))

Compiler

Compiled 3762 to 2772 computations (26.3% saved)

simplify235.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

383 → 383

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4990	9486
1	4990	9486

prune1.0s (5.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	378	5	383
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	385	9	394

Error

0.0b

Counts

394 → 9

Compiler

Compiled 11199 to 6106 computations (45.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
0.1b	(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (+.f64 a b)) (-.f64 b a))
0.2b	(/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (+.f64 a b))
0.3b	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2))

rewrite759.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

133×	`times-frac_binary64_425`
123×	`add-sqr-sqrt_binary64_441`
118×	`*-un-lft-identity_binary64_419`
48×	`add-cube-cbrt_binary64_454`
32×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
29×	`difference-of-squares_binary64_388`
25×	`distribute-lft-out--_binary64_371`
19×	`associate-l_binary64_360`
18×	`div-inv_binary64_416`
16×	`associate-/r/_binary64_365`
13×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-r_binary64_359` `cancel-sign-sub-inv_binary64_385`
11×	`associate-/l*_binary64_364`
9×	`associate-/r*_binary64_363`
8×	`distribute-lft-out_binary64_370` `associate-/l/_binary64_366`
7×	`flip3-+_binary64_422` `flip-+_binary64_393`
6×	`pow1_binary64_480` `prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `flip3--_binary64_423` `flip--_binary64_394` `associate-*l/_binary64_362`
5×	`frac-sub_binary64_428`
2×	`unswap-sqr_binary64_387` `associate-*r/_binary64_361` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `diff-log_binary64_511` `sub-neg_binary64_412`

Counts

4 → 215

Calls

4 calls:

52.0ms	(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (+.f64 a b)) (-.f64 b a))
48.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2))
44.0ms	(/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (+.f64 a b))
34.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 6624 to 3640 computations (45% saved)

series827.0ms (4.6%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

216.0ms	(/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (+.f64 a b))
208.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2))
205.0ms	(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (+.f64 a b)) (-.f64 b a))
112.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 2643 to 1761 computations (33.4% saved)

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5483	7196

prune594.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	274	1	275
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	275	9	284

Error

Counts

284 → 9

Compiler

Compiled 7218 to 3730 computations (48.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 b a))
0.2b	(.f64 (/.f64 1 (+.f64 b a)) (/.f64 (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (-.f64 b a)))
0.2b	(/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (-.f64 b a))
0.3b	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2))

rewrite647.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`add-exp-log_binary64_457`
77×	`add-sqr-sqrt_binary64_441`
72×	`*-un-lft-identity_binary64_419`
64×	`times-frac_binary64_425`
52×	`add-cbrt-cube_binary64_455`
37×	`associate-l_binary64_360`
35×	`add-cube-cbrt_binary64_454`
31×	`div-exp_binary64_470`
28×	`prod-exp_binary64_468`
24×	`associate-r_binary64_359`
18×	`cbrt-undiv_binary64_453`
16×	`cbrt-unprod_binary64_452`
12×	`difference-of-squares_binary64_388`
10×	`distribute-lft-out--_binary64_371`
9×	`pow1_binary64_480` `div-inv_binary64_416` `associate-/r*_binary64_363`
8×	`associate-/r/_binary64_365`
7×	`frac-times_binary64_429` `associate-*l/_binary64_362` `associate-/l/_binary64_366` `distribute-lft-out_binary64_370`
6×	`flip3--_binary64_423` `flip--_binary64_394`
5×	`unswap-sqr_binary64_387` `1-exp_binary64_463` `rec-exp_binary64_469`
4×	`add-log-exp_binary64_458` `frac-sub_binary64_428` `associate-/l*_binary64_364`
3×	`associate-*r/_binary64_361`
2×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493`

Counts

4 → 195

Calls

4 calls:

57.0ms	(.f64 (/.f64 1 (+.f64 b a)) (/.f64 (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (-.f64 b a)))
44.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2))
43.0ms	(/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (-.f64 b a))
10.0ms	(/.f64 1 (+.f64 b a))

Compiler

Compiled 6183 to 3650 computations (41% saved)

series809.0ms (4.5%)

Error

Counts

4 → 54

Calls

4 calls:

197.0ms	(.f64 (/.f64 1 (+.f64 b a)) (/.f64 (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (-.f64 b a)))
195.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2))
194.0ms	(/.f64 (*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 2)) (-.f64 b a))
137.0ms	(/.f64 1 (+.f64 b a))

Compiler

Compiled 2757 to 2005 computations (27.3% saved)

simplify149.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5429	5438

prune505.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	249	9	258

Error

Counts

258 → 9

Compiler

Compiled 6355 to 3577 computations (43.7% saved)

regimes1.2s (6.5%)

Accuracy

Total 0.3b remaining (99.3%)

Threshold costs 0.3b (99.3%)

Compiler

Compiled 9532 to 6924 computations (27.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	27
1	40	27

end0.0ms (0%)

sample5.4s (30.2%)

Algorithm

1×

intervals

Results

839.0ms	8000×	body	128	valid
38.0ms	372×	body	128	invalid

Compiler

Compiled 3201 to 2326 computations (27.3% saved)

Details

analyze633.0ms (3.5%)

sample43.0ms (0.2%)

simplify90.0ms (0.5%)

prune8.0ms (0%)

localize23.0ms (0.1%)

rewrite962.0ms (5.3%)

series732.0ms (4.1%)

simplify243.0ms (1.3%)

prune724.0ms (4%)

localize25.0ms (0.1%)

rewrite1.2s (6.7%)

series934.0ms (5.2%)

simplify235.0ms (1.3%)

prune1.0s (5.8%)

localize27.0ms (0.2%)

rewrite759.0ms (4.2%)

series827.0ms (4.6%)

simplify174.0ms (1%)

prune594.0ms (3.3%)

localize26.0ms (0.1%)

rewrite647.0ms (3.6%)

series809.0ms (4.5%)

simplify149.0ms (0.8%)

prune505.0ms (2.8%)

regimes1.2s (6.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.4s (30.2%)

Profiling