Details

analyze1.2s (6.3%)

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)

sample54.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
16.0ms	180×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify51.0ms (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

8.7b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
3.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
6.7b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
8.9b	(.f64 r (.f64 w w))

rewrite415.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

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)))))
17.0ms	(/.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)

series774.0ms (4%)

Error

8.7b

Counts

4 → 42

Calls

4 calls:

263.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
208.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
180.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
66.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 3117 to 2498 computations (19.9% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5473	4451

prune348.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	212	7	219
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	214	7	221

Error

3.3b

Counts

221 → 7

Compiler

Compiled 6919 to 3947 computations (43% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 2 (*.f64 r r))
1.8b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
3.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
6.7b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))

rewrite427.0ms (2.2%)

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:

24.0ms	(.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)

series722.0ms (3.7%)

Error

3.3b

Counts

4 → 39

Calls

4 calls:

258.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
211.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
175.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
30.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2892 to 2320 computations (19.8% saved)

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5500	4522

prune387.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	207	11	218
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	213	12	225

Error

0.0b

Counts

225 → 12

Compiler

Compiled 7017 to 4034 computations (42.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
0.3b	(.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
3.3b	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
3.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))

rewrite1.8s (9.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

381×	`times-frac_binary64`
286×	`add-sqr-sqrt_binary64`
271×	`*-un-lft-identity_binary64`
190×	`add-cube-cbrt_binary64`
166×	`add-exp-log_binary64`
159×	`cbrt-prod_binary64`
129×	`add-cbrt-cube_binary64`
108×	`associate-r_binary64`
71×	`prod-exp_binary64` `cbrt-unprod_binary64`
57×	`div-exp_binary64` `cbrt-undiv_binary64`
50×	`difference-of-squares_binary64`
31×	`associate-/r*_binary64`
27×	`distribute-lft-out--_binary64`
25×	`associate-l_binary64`
24×	`cbrt-div_binary64`
18×	`pow1_binary64` `frac-times_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`associate-*r/_binary64` `swap-sqr_binary64`
10×	`associate-*l/_binary64` `div-inv_binary64` `associate-/r/_binary64`
8×	`unswap-sqr_binary64`
6×	`pow-prod-down_binary64` `pow1/3_binary64`
4×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_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 → 415

Calls

4 calls:

53.0ms	(.f64 (/.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 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
16.0ms	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))
11.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))

Compiler

Compiled 21021 to 13648 computations (35.1% saved)

series986.0ms (5.1%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

373.0ms	(/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))
285.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w))))
191.0ms	(.f64 (/.f64 (.f64 w r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 r (/.f64 (cbrt.f64 (-.f64 1 v)) w)))
76.0ms	(*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))

Compiler

Compiled 3845 to 3021 computations (21.4% saved)

simplify142.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

459 → 459

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5231	13201

prune1.5s (7.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	458	1	459
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	460	11	471

Error

0.0b

Counts

471 → 11

Compiler

Compiled 20018 to 12882 computations (35.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 2 (*.f64 r r))
0.3b	(/.f64 (-.f64 1 v) (*.f64 w r))
3.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 w r)) w)))
6.7b	(/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 w r)) w))

rewrite970.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

552×	`times-frac_binary64`
276×	`add-sqr-sqrt_binary64`
267×	`*-un-lft-identity_binary64`
198×	`add-cube-cbrt_binary64`
107×	`associate-r_binary64`
48×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
46×	`difference-of-squares_binary64`
36×	`associate-/r*_binary64`
32×	`div-inv_binary64`
23×	`distribute-lft-out--_binary64`
22×	`div-exp_binary64` `cbrt-undiv_binary64`
12×	`associate-/l*_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `unswap-sqr_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_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 → 346

Calls

4 calls:

42.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 w r)) w)))
15.0ms	(/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 w r)) w))
8.0ms	(/.f64 (-.f64 1 v) (*.f64 w r))
4.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 13190 to 7696 computations (41.7% saved)

series678.0ms (3.5%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

256.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 w r)) w)))
193.0ms	(/.f64 r (/.f64 (/.f64 (-.f64 1 v) (*.f64 w r)) w))
153.0ms	(/.f64 (-.f64 1 v) (*.f64 w r))
28.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2874 to 2246 computations (21.9% saved)

simplify143.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

385 → 385

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4965	9795
1	4965	9795

prune724.0ms (3.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	384	1	385
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	384	12	396

Error

0.0b

Counts

396 → 12

Compiler

Compiled 13300 to 7414 computations (44.3% saved)

regimes2.3s (11.7%)

Accuracy

Total 0.6b remaining (97.7%)

Threshold costs 0.6b (97.7%)

Compiler

Compiled 34906 to 26549 computations (23.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	120	37
1	120	37

end0.0ms (0%)

sample5.6s (28.8%)

Algorithm

1×

intervals

Results

545.0ms	8000×	body	128	valid
337.0ms	4997×	body	128	invalid

Compiler

Compiled 5500 to 4193 computations (23.8% saved)

Details

analyze1.2s (6.3%)

sample54.0ms (0.3%)

simplify51.0ms (0.3%)

prune8.0ms (0%)

localize18.0ms (0.1%)

rewrite415.0ms (2.1%)

series774.0ms (4%)

simplify74.0ms (0.4%)

prune348.0ms (1.8%)

localize16.0ms (0.1%)

rewrite427.0ms (2.2%)

series722.0ms (3.7%)

simplify83.0ms (0.4%)

prune387.0ms (2%)

localize20.0ms (0.1%)

rewrite1.8s (9.5%)

series986.0ms (5.1%)

simplify142.0ms (0.7%)

prune1.5s (7.5%)

localize16.0ms (0.1%)

rewrite970.0ms (5%)

series678.0ms (3.5%)

simplify143.0ms (0.7%)

prune724.0ms (3.7%)

regimes2.3s (11.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.6s (28.8%)

Profiling