Details

analyze1.5s (6.2%)

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)

sample61.0ms (0.2%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
18.0ms	166×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

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

9.3b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
6.1b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
6.4b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
9.9b	(.f64 r (.f64 w w))

rewrite486.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

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` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-l/_binary64` `associate-/r/_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 177

Calls

4 calls:

26.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
21.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
12.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
7.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 6257 to 3523 computations (43.7% saved)

series957.0ms (3.9%)

Error

9.1b

Counts

4 → 42

Calls

4 calls:

313.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
250.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
227.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
97.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 3117 to 2498 computations (19.9% saved)

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5473	4451

prune521.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	210	9	219
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	212	9	221

Error

1.6b

Counts

221 → 9

Compiler

Compiled 6977 to 3990 computations (42.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (*.f64 r r))
0.7b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
6.1b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
6.4b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))

rewrite467.0ms (1.9%)

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×	`associate-l_binary64` `frac-2neg_binary64` `clear-num_binary64`
2×	`flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `associate-/r/_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_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))))
18.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
14.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
4.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 6318 to 3604 computations (43% saved)

series912.0ms (3.7%)

Error

1.6b

Counts

4 → 39

Calls

4 calls:

344.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
258.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
233.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
28.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2892 to 2320 computations (19.8% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5500	4522

prune428.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	208	10	218
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	215	12	227

Error

0.0b

Counts

227 → 12

Compiler

Compiled 7043 to 4038 computations (42.7% saved)

localize19.0ms (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)))
0.5b	(/.f64 2 (*.f64 r r))
2.6b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.9b	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))

rewrite1.7s (6.9%)

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:

55.0ms	(.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)))
43.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
22.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
7.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 18273 to 11860 computations (35.1% saved)

series1.7s (6.7%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

759.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
442.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
353.0ms	(.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)))
37.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3752 to 2905 computations (22.6% saved)

simplify201.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

398 → 398

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5030	13324

prune1.7s (7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	395	3	398
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	397	13	410

Error

0.0b

Counts

410 → 13

Compiler

Compiled 18204 to 11775 computations (35.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (*.f64 r r))
0.7b	(.f64 (.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 w (cbrt.f64 (-.f64 1 v)))) (/.f64 r (cbrt.f64 (-.f64 1 v))))
2.6b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.5b	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 w (cbrt.f64 (-.f64 1 v))))

rewrite1.2s (5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

260×	`times-frac_binary64`
197×	`add-sqr-sqrt_binary64`
189×	`*-un-lft-identity_binary64`
135×	`add-cube-cbrt_binary64`
109×	`cbrt-prod_binary64`
66×	`associate-r_binary64`
40×	`add-exp-log_binary64`
36×	`difference-of-squares_binary64`
33×	`add-cbrt-cube_binary64`
32×	`associate-/r*_binary64`
18×	`distribute-lft-out--_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64`
11×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64`
8×	`flip3--_binary64` `flip--_binary64` `div-inv_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `associate-l*_binary64` `cbrt-div_binary64`
3×	`unswap-sqr_binary64`
2×	`*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 287

Calls

4 calls:

41.0ms	(.f64 (.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 w (cbrt.f64 (-.f64 1 v)))) (/.f64 r (cbrt.f64 (-.f64 1 v))))
24.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 w (cbrt.f64 (-.f64 1 v))))
11.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
8.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 13775 to 9372 computations (32% saved)

series1.6s (6.7%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

781.0ms	(.f64 (.f64 (-.f64 3/8 (*.f64 v 1/4)) (/.f64 w (cbrt.f64 (-.f64 1 v)))) (/.f64 r (cbrt.f64 (-.f64 1 v))))
425.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
321.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 w (cbrt.f64 (-.f64 1 v))))
46.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3785 to 2928 computations (22.6% saved)

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4977	8118
1	4977	8118

prune1.1s (4.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	321	13	334

Error

0.0b

Counts

334 → 13

Compiler

Compiled 14362 to 9672 computations (32.7% saved)

regimes2.9s (11.7%)

Accuracy

Total 0.8b remaining (97.9%)

Threshold costs 0.8b (97.9%)

Compiler

Compiled 37911 to 28926 computations (23.7% 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 (27%)

Algorithm

1×

intervals

Results

660.0ms	8000×	body	128	valid
412.0ms	4936×	body	128	invalid

Compiler

Compiled 5977 to 4570 computations (23.5% saved)

Details

analyze1.5s (6.2%)

sample61.0ms (0.2%)

simplify62.0ms (0.3%)

prune8.0ms (0%)

localize17.0ms (0.1%)

rewrite486.0ms (2%)

series957.0ms (3.9%)

simplify135.0ms (0.5%)

prune521.0ms (2.1%)

localize16.0ms (0.1%)

rewrite467.0ms (1.9%)

series912.0ms (3.7%)

simplify102.0ms (0.4%)

prune428.0ms (1.7%)

localize19.0ms (0.1%)

rewrite1.7s (6.9%)

series1.7s (6.7%)

simplify201.0ms (0.8%)

prune1.7s (7%)

localize20.0ms (0.1%)

rewrite1.2s (5%)

series1.6s (6.7%)

simplify112.0ms (0.5%)

prune1.1s (4.4%)

regimes2.9s (11.7%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

end0.0ms (0%)

sample6.7s (27%)

Profiling