Details

analyze1.1s (6.7%)

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 (0.3%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
14.0ms	153×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

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

7.7b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
2.5b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
7.5b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
9.5b	(.f64 r (.f64 w w))

rewrite425.0ms (2.6%)

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

series707.0ms (4.3%)

Error

7.7b

Counts

4 → 37

Calls

4 calls:

226.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
197.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
166.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
71.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 2733 to 2197 computations (19.6% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5281	4346

prune371.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	204	10	214
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	206	10	216

Error

1.7b

Counts

216 → 10

Compiler

Compiled 6866 to 3950 computations (42.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 2 (*.f64 r r))
1.3b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
2.5b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
7.5b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))

rewrite419.0ms (2.6%)

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` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-*l/_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))))
11.0ms	(/.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)

series658.0ms (4%)

Error

1.7b

Counts

4 → 34

Calls

4 calls:

227.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
194.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
171.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
27.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2508 to 2019 computations (19.5% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5261	4423

prune368.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	205	8	213
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	211	12	223

Error

0.0b

Counts

223 → 12

Compiler

Compiled 6901 to 3980 computations (42.3% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 v))
0.9b	(/.f64 2 (*.f64 r r))
1.7b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.4b	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))

rewrite787.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

205×	`times-frac_binary64`
146×	`add-sqr-sqrt_binary64`
144×	`*-un-lft-identity_binary64`
105×	`add-cube-cbrt_binary64`
78×	`cbrt-prod_binary64`
32×	`add-exp-log_binary64` `associate-/r*_binary64`
27×	`add-cbrt-cube_binary64`
26×	`difference-of-squares_binary64`
14×	`cbrt-div_binary64`
13×	`associate-r_binary64` `distribute-lft-out--_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64`
9×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
7×	`div-inv_binary64`
6×	`pow1_binary64` `frac-times_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`associate-r/_binary64` `associate-l*_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `pow1/3_binary64`

Counts

4 → 220

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)))))
12.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.0ms	(/.f64 2 (*.f64 r r))
3.0ms	(cbrt.f64 (-.f64 1 v))

Compiler

Compiled 10619 to 6971 computations (34.4% saved)

series1.1s (6.6%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

623.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
344.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
40.0ms	(cbrt.f64 (-.f64 1 v))
31.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3188 to 2449 computations (23.2% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5015	5902

prune723.0ms (4.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	250	11	261

Error

0.0b

Counts

261 → 11

Compiler

Compiled 11397 to 7465 computations (34.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 v))
0.3b	(cbrt.f64 (-.f64 1 v))
1.7b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
4.4b	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))

rewrite750.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

202×	`times-frac_binary64`
148×	`add-sqr-sqrt_binary64`
146×	`*-un-lft-identity_binary64`
104×	`add-cube-cbrt_binary64`
84×	`cbrt-prod_binary64`
31×	`associate-/r*_binary64`
28×	`difference-of-squares_binary64`
27×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
16×	`cbrt-div_binary64`
14×	`distribute-lft-out--_binary64`
13×	`associate-r_binary64`
10×	`flip3--_binary64` `flip--_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`pow1_binary64` `frac-times_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 215

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)))))
11.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.0ms	(cbrt.f64 (-.f64 1 v))
3.0ms	(cbrt.f64 (-.f64 1 v))

Compiler

Compiled 10437 to 7068 computations (32.3% saved)

series1.1s (6.7%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

619.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
348.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
41.0ms	(cbrt.f64 (-.f64 1 v))
36.0ms	(cbrt.f64 (-.f64 1 v))

Compiler

Compiled 3413 to 2649 computations (22.4% saved)

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4967	5910
1	4967	5910

prune694.0ms (4.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	246	11	257

Error

0.0b

Counts

257 → 11

Compiler

Compiled 10986 to 7371 computations (32.9% saved)

regimes1.9s (11.6%)

Accuracy

Total 0.7b remaining (97.6%)

Threshold costs 0.7b (97.6%)

Compiler

Compiled 30042 to 22944 computations (23.6% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	285	55
1	285	55

end0.0ms (0%)

sample4.6s (28.2%)

Algorithm

1×

intervals

Results

556.0ms	8000×	body	128	valid
326.0ms	4781×	body	128	invalid

Compiler

Compiled 4707 to 3601 computations (23.5% saved)

Details

analyze1.1s (6.7%)

sample52.0ms (0.3%)

simplify146.0ms (0.9%)

prune8.0ms (0%)

localize25.0ms (0.2%)

rewrite425.0ms (2.6%)

series707.0ms (4.3%)

simplify80.0ms (0.5%)

prune371.0ms (2.3%)

localize16.0ms (0.1%)

rewrite419.0ms (2.6%)

series658.0ms (4%)

simplify79.0ms (0.5%)

prune368.0ms (2.3%)

localize23.0ms (0.1%)

rewrite787.0ms (4.8%)

series1.1s (6.6%)

simplify91.0ms (0.6%)

prune723.0ms (4.4%)

localize21.0ms (0.1%)

rewrite750.0ms (4.6%)

series1.1s (6.7%)

simplify110.0ms (0.7%)

prune694.0ms (4.2%)

regimes1.9s (11.6%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample4.6s (28.2%)

Profiling