Details

analyze2.2s (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5367	148
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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

Compiler

Compiled 30 to 25 computations (16.7% saved)

sample78.0ms (0.3%)

Algorithm

1×

intervals

Results

32.0ms	256×	body	128	valid
19.0ms	151×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4999	37
1	4999	37

prune14.0ms (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

10.7b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
3.0b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
7.0b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.1b	(.f64 r (.f64 w w))

rewrite137.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

109×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
44×	`add-cube-cbrt_binary64`
36×	`associate-r_binary64`
18×	`difference-of-squares_binary64`
17×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
11×	`associate-/r*_binary64` `pow1_binary64`
10×	`div-inv_binary64`
9×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `associate-*r/_binary64` `div-sub_binary64` `flip--_binary64`

Counts

4 → 177

Calls

4 calls:

41.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
22.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
18.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
13.0ms	(.f64 r (.f64 w w))

series1.2s (4.1%)

Counts

4 → 41

Calls

4 calls:

429.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
342.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
297.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
133.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 1969 to 1678 computations (14.8% saved)

simplify207.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4943	4437
1	4943	4437

prune626.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	212	6	218
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	214	6	220

Error

5.2b

Counts

220 → 6

Compiler

Compiled 6876 to 3995 computations (41.9% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 2 (*.f64 r r))
2.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
3.0b	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
7.0b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))

rewrite134.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
45×	`add-cube-cbrt_binary64`
35×	`associate-r_binary64`
19×	`cbrt-undiv_binary64` `div-exp_binary64`
18×	`difference-of-squares_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`associate-/r_binary64` `associate-/l_binary64`
11×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 179

Calls

4 calls:

41.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
22.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
22.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
8.0ms	(/.f64 2 (*.f64 r r))

series1.1s (3.8%)

Counts

4 → 38

Calls

4 calls:

424.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
351.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
307.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
52.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 1819 to 1552 computations (14.7% saved)

simplify171.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4945	4523
1	4945	4523

prune854.0ms (2.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	204	13	217
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	209	14	223

Error

0.0b

Counts

223 → 14

Compiler

Compiled 7160 to 4220 computations (41.1% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
0.7b	(/.f64 2 (*.f64 r r))
3.1b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.8b	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))

rewrite308.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

379×	`times-frac_binary64`
249×	`add-sqr-sqrt_binary64`
247×	`*-un-lft-identity_binary64`
184×	`add-cube-cbrt_binary64`
126×	`cbrt-prod_binary64`
125×	`add-exp-log_binary64`
102×	`add-cbrt-cube_binary64`
101×	`associate-r_binary64`
55×	`cbrt-unprod_binary64` `prod-exp_binary64`
42×	`difference-of-squares_binary64`
39×	`cbrt-undiv_binary64` `div-exp_binary64`
32×	`associate-/r*_binary64`
21×	`distribute-lft-out--_binary64`
15×	`frac-times_binary64`
14×	`associate-l_binary64`
12×	`cbrt-div_binary64`
11×	`pow1_binary64` `div-inv_binary64`
10×	`associate-/r/_binary64` `associate-*l/_binary64`
9×	`associate-*r/_binary64`
6×	`flip3-+_binary64` `flip3--_binary64` `associate-/l*_binary64` `flip--_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

4 → 362

Calls

4 calls:

92.0ms	(.f64 (.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
41.0ms	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))
24.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
15.0ms	(/.f64 2 (*.f64 r r))

series2.3s (7.9%)

Counts

4 → 37

Calls

4 calls:

1.1s	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))
641.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
514.0ms	(.f64 (.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (*.f64 v -1/4))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
56.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2407 to 1986 computations (17.5% saved)

simplify286.0ms (1%)

Algorithm

1×	egg-herbie

Counts

399 → 399

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5773	13343

prune2.6s (8.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	397	2	399
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	400	13	413

Error

0.0b

Counts

413 → 13

Compiler

Compiled 18353 to 11868 computations (35.3% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (sqrt.f64 2) r)
0.4b	(*.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r))
3.1b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.8b	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))

rewrite228.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

316×	`times-frac_binary64`
253×	`add-sqr-sqrt_binary64`
209×	`*-un-lft-identity_binary64`
173×	`add-cube-cbrt_binary64`
72×	`cbrt-prod_binary64`
60×	`sqrt-prod_binary64`
41×	`add-exp-log_binary64`
36×	`add-cbrt-cube_binary64`
35×	`associate-l_binary64`
34×	`associate-/r*_binary64`
28×	`swap-sqr_binary64`
25×	`associate-r_binary64`
24×	`difference-of-squares_binary64`
13×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
12×	`cbrt-div_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
11×	`div-inv_binary64`
10×	`unswap-sqr_binary64`
9×	`associate-/r/_binary64` `associate-/l*_binary64`
7×	`frac-times_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 329

Calls

4 calls:

38.0ms	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))
38.0ms	(*.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r))
28.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
8.0ms	(/.f64 (sqrt.f64 2) r)

series1.9s (6.5%)

Counts

4 → 29

Calls

4 calls:

1.1s	(.f64 (/.f64 (.f64 r w) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (+.f64 3/8 (.f64 v -1/4)))
648.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
107.0ms	(*.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r))
80.0ms	(/.f64 (sqrt.f64 2) r)

Compiler

Compiled 2291 to 1896 computations (17.2% saved)

simplify207.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

358 → 358

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	7995
1	4974	7995

prune2.6s (8.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	355	3	358
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	356	15	371

Error

0.0b

Counts

371 → 15

Compiler

Compiled 17207 to 11967 computations (30.5% saved)

regimes3.1s (10.5%)

Accuracy

Total 0.8b remaining (99.4%)

Threshold costs 0.8b (99.4%)

Compiler

Compiled 26127 to 20143 computations (22.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	130	55
1	130	55

end0.0ms (0%)

sample8.9s (30.1%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
609.0ms	4693×	body	128	invalid

Compiler

Compiled 4173 to 3222 computations (22.8% saved)

Details

analyze2.2s (7.6%)

sample78.0ms (0.3%)

simplify91.0ms (0.3%)

prune14.0ms (0%)

localize43.0ms (0.1%)

rewrite137.0ms (0.5%)

series1.2s (4.1%)

simplify207.0ms (0.7%)

prune626.0ms (2.1%)

localize31.0ms (0.1%)

rewrite134.0ms (0.5%)

series1.1s (3.8%)

simplify171.0ms (0.6%)

prune854.0ms (2.9%)

localize44.0ms (0.2%)

rewrite308.0ms (1%)

series2.3s (7.9%)

simplify286.0ms (1%)

prune2.6s (8.7%)

localize43.0ms (0.1%)

rewrite228.0ms (0.8%)

series1.9s (6.5%)

simplify207.0ms (0.7%)

prune2.6s (8.9%)

regimes3.1s (10.5%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample8.9s (30.1%)

Profiling