Details

analyze1.1s (4.7%)

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
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)

sample52.0ms (0.2%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
10.0ms	151×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify146.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4999	37
1	4999	37

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

10.7b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize26.0ms (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))

rewrite403.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

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×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
11×	`pow1_binary64` `associate-/r*_binary64`
10×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64` `associate-/l*_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64` `associate-/l/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-l/_binary64`
1×	`div-sub_binary64` `flip3--_binary64` `flip--_binary64` `associate-*r/_binary64`

Counts

4 → 177

Calls

4 calls:

22.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
12.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
8.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 6257 to 3523 computations (43.7% saved)

series762.0ms (3.3%)

Error

10.6b

Counts

4 → 41

Calls

4 calls:

244.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
205.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
183.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
72.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 3058 to 2448 computations (19.9% saved)

simplify114.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4943	4437
1	4943	4437

prune395.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	210	8	218
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	212	8	220

Error

3.9b

Counts

220 → 8

Compiler

Compiled 6911 to 3918 computations (43.3% saved)

localize16.0ms (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 w r) w))))
3.0b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
7.0b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))

rewrite453.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`div-exp_binary64` `cbrt-undiv_binary64`
18×	`difference-of-squares_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64`
12×	`associate-/l_binary64` `associate-/r_binary64`
11×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `associate-/l/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`div-sub_binary64` `flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 179

Calls

4 calls:

21.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
16.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
9.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
4.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 6318 to 3604 computations (43% saved)

series709.0ms (3.1%)

Error

3.9b

Counts

4 → 38

Calls

4 calls:

257.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
198.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
179.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
29.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2833 to 2270 computations (19.9% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4953	4514
1	4953	4514

prune388.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	207	10	217
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	212	13	225

Error

0.0b

Counts

225 → 13

Compiler

Compiled 7060 to 4105 computations (41.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))))) (/.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 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))

rewrite1.4s (6.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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`
111×	`associate-r_binary64`
102×	`add-cbrt-cube_binary64`
55×	`prod-exp_binary64` `cbrt-unprod_binary64`
42×	`difference-of-squares_binary64`
39×	`div-exp_binary64` `cbrt-undiv_binary64`
32×	`associate-/r*_binary64`
21×	`distribute-lft-out--_binary64`
15×	`frac-times_binary64`
13×	`associate-*l/_binary64`
12×	`flip3--_binary64` `flip--_binary64` `cbrt-div_binary64`
11×	`pow1_binary64` `div-inv_binary64`
10×	`associate-/r/_binary64`
6×	`associate-r/_binary64` `associate-/l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-l_binary64`
2×	`*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 360

Calls

4 calls:

43.0ms	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
20.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
15.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 18273 to 11860 computations (35.1% saved)

series1.3s (5.8%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

604.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
372.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
260.0ms	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v))))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
25.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3646 to 2821 computations (22.6% saved)

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

397 → 397

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5016	13254

prune1.4s (6.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	394	3	397
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	397	13	410

Error

0.0b

Counts

410 → 13

Compiler

Compiled 18186 to 11778 computations (35.2% saved)

localize25.0ms (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 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))

rewrite1.5s (6.5%)

Algorithm

1×	rewrite-expression-head

Error

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-r_binary64`
34×	`associate-/r*_binary64`
28×	`swap-sqr_binary64`
25×	`associate-l_binary64`
24×	`difference-of-squares_binary64`
13×	`pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
12×	`div-exp_binary64` `cbrt-undiv_binary64` `cbrt-div_binary64` `distribute-lft-out--_binary64`
11×	`div-inv_binary64`
10×	`unswap-sqr_binary64`
9×	`associate-/r/_binary64` `associate-/l*_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`frac-times_binary64`
5×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
2×	`pow-prod-down_binary64` `*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64`

Counts

4 → 327

Calls

4 calls:

20.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
18.0ms	(*.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r))
12.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.0ms	(/.f64 (sqrt.f64 2) r)

Compiler

Compiled 17055 to 12081 computations (29.2% saved)

series1.2s (5.2%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

647.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
379.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
58.0ms	(*.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r))
40.0ms	(/.f64 (sqrt.f64 2) r)

Compiler

Compiled 3478 to 2744 computations (21.1% saved)

simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5022	7811

prune1.5s (6.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	353	3	356
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	354	15	369

Error

Counts

369 → 15

Compiler

Compiled 17012 to 11830 computations (30.5% saved)

regimes2.9s (12.7%)

Accuracy

Total 0.8b remaining (99.7%)

Threshold costs 0.8b (99.7%)

Compiler

Compiled 47528 to 36747 computations (22.7% saved)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	306	55
1	306	55

end0.0ms (0%)

sample6.7s (29.3%)

Algorithm

1×

intervals

Results

701.0ms	8000×	body	128	valid
315.0ms	4693×	body	128	invalid

Compiler

Compiled 7551 to 5850 computations (22.5% saved)

Details

analyze1.1s (4.7%)

sample52.0ms (0.2%)

simplify146.0ms (0.6%)

prune8.0ms (0%)

localize26.0ms (0.1%)

rewrite403.0ms (1.8%)

series762.0ms (3.3%)

simplify114.0ms (0.5%)

prune395.0ms (1.7%)

localize16.0ms (0.1%)

rewrite453.0ms (2%)

series709.0ms (3.1%)

simplify102.0ms (0.4%)

prune388.0ms (1.7%)

localize20.0ms (0.1%)

rewrite1.4s (6.3%)

series1.3s (5.8%)

simplify150.0ms (0.7%)

prune1.4s (6.1%)

localize25.0ms (0.1%)

rewrite1.5s (6.5%)

series1.2s (5.2%)

simplify123.0ms (0.5%)

prune1.5s (6.4%)

regimes2.9s (12.7%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample6.7s (29.3%)

Profiling