Details

analyze1.2s (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)

sample51.0ms (0.3%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
10.0ms	153×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

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

8.2b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
3.9b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
6.4b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
9.3b	(.f64 r (.f64 w w))

rewrite392.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

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)))))
16.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.0ms	(/.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)

series762.0ms (3.8%)

Error

8.2b

Counts

4 → 40

Calls

4 calls:

249.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
201.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
185.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
73.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 2973 to 2384 computations (19.8% saved)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5426	4413

prune379.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	210	7	217
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	211	8	219

Error

2.1b

Counts

219 → 8

Compiler

Compiled 6879 to 3928 computations (42.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (*.f64 r r))
1.6b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
3.9b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
6.4b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))

rewrite402.0ms (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` `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))
5.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 6318 to 3604 computations (43% saved)

series693.0ms (3.5%)

Error

2.1b

Counts

4 → 37

Calls

4 calls:

246.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
191.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
186.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
27.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2748 to 2206 computations (19.7% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5439	4484

prune362.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	209	7	216
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	215	9	224

Error

0.0b

Counts

224 → 9

Compiler

Compiled 6891 to 3941 computations (42.8% saved)

localize22.0ms (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)))
0.6b	(/.f64 2 (*.f64 r r))
1.9b	(/.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 (7.6%)

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:

42.0ms	(.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)))
19.0ms	(.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))
4.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 18273 to 11860 computations (35.1% saved)

series1.3s (6.6%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

633.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
356.0ms	(/.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)))
28.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 3364 to 2617 computations (22.2% saved)

simplify155.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

394 → 394

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4985	13158
1	4985	13158

prune1.5s (7.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	392	2	394
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	394	9	403

Error

0.0b

Counts

403 → 9

Compiler

Compiled 17959 to 11626 computations (35.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
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)))
1.9b	(/.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)))))

rewrite1.7s (8.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

376×	`times-frac_binary64`
275×	`add-sqr-sqrt_binary64`
271×	`*-un-lft-identity_binary64`
190×	`add-cube-cbrt_binary64`
158×	`cbrt-prod_binary64`
122×	`add-exp-log_binary64`
120×	`associate-r_binary64`
97×	`add-cbrt-cube_binary64`
55×	`prod-exp_binary64` `cbrt-unprod_binary64`
50×	`difference-of-squares_binary64`
37×	`div-exp_binary64` `cbrt-undiv_binary64`
31×	`associate-/r*_binary64`
27×	`distribute-lft-out--_binary64`
24×	`cbrt-div_binary64`
19×	`frac-times_binary64`
18×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
15×	`associate-*l/_binary64`
13×	`associate-l_binary64`
11×	`swap-sqr_binary64`
10×	`div-inv_binary64` `associate-/r/_binary64`
8×	`associate-*r/_binary64`
6×	`pow-prod-down_binary64` `pow1/3_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`-commutative_binary64` `associate-/l_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `pow2_binary64` `pow-plus_binary64`

Counts

4 → 398

Calls

4 calls:

49.0ms	(.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)))
19.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
13.0ms	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
12.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))

Compiler

Compiled 20066 to 13518 computations (32.6% saved)

series1.3s (6.7%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

606.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 (.f64 w r) (.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))))
351.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
258.0ms	(.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)))
69.0ms	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))

Compiler

Compiled 3888 to 3055 computations (21.4% saved)

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

438 → 438

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5084	13639

prune1.4s (7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	438	0	438
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	438	9	447

Error

0.0b

Counts

447 → 9

Compiler

Compiled 19256 to 12847 computations (33.3% saved)

regimes1.8s (9.2%)

Accuracy

Total 0.7b remaining (97.8%)

Threshold costs 0.7b (97.8%)

Compiler

Compiled 29949 to 23004 computations (23.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	130	55
1	130	55

end0.0ms (0%)

sample4.5s (22.7%)

Algorithm

1×

intervals

Results

546.0ms	8000×	body	128	valid
331.0ms	4998×	body	128	invalid

Compiler

Compiled 4730 to 3639 computations (23.1% saved)

Details

analyze1.2s (6.2%)

sample51.0ms (0.3%)

simplify50.0ms (0.3%)

prune8.0ms (0%)

localize18.0ms (0.1%)

rewrite392.0ms (2%)

series762.0ms (3.8%)

simplify75.0ms (0.4%)

prune379.0ms (1.9%)

localize17.0ms (0.1%)

rewrite402.0ms (2%)

series693.0ms (3.5%)

simplify80.0ms (0.4%)

prune362.0ms (1.8%)

localize22.0ms (0.1%)

rewrite1.5s (7.6%)

series1.3s (6.6%)

simplify155.0ms (0.8%)

prune1.5s (7.2%)

localize24.0ms (0.1%)

rewrite1.7s (8.6%)

series1.3s (6.7%)

simplify145.0ms (0.7%)

prune1.4s (7%)

regimes1.8s (9.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.5s (22.7%)

Profiling