Details

analyze452.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4929	64
1	4929	64
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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify158.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune7.0ms (0.1%)

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

0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
1.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite274.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

233×	`times-frac_binary64_84`
194×	`add-sqr-sqrt_binary64_100`
184×	`*-un-lft-identity_binary64_78`
94×	`add-cube-cbrt_binary64_113`
40×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
20×	`distribute-lft-out--_binary64_30`
18×	`associate-/r/_binary64_24`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `div-inv_binary64_75` `associate-/r*_binary64_22`
8×	`flip3-+_binary64_81` `flip-+_binary64_52`
5×	`add-log-exp_binary64_117`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
3×	`pow1_binary64_139`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `flip3--_binary64_82` `flip--_binary64_53`
1×	`associate-/l/_binary64_25` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

3 → 209

Calls

3 calls:

17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 5020 to 1792 computations (64.3% saved)

series444.0ms (4.5%)

Error

0.3b

Counts

3 → 57

Calls

3 calls:

225.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
115.0ms	(/.f64 v (+.f64 t1 u))
59.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 2373 to 1628 computations (31.4% saved)

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5497	6792

prune240.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	260	6	266
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	260	8	268

Error

0.2b

Counts

268 → 8

Compiler

Compiled 5633 to 1924 computations (65.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 1 (+.f64 t1 u))
0.3b	(*.f64 v (/.f64 1 (+.f64 t1 u)))
1.0b	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

rewrite176.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

53×	`add-sqr-sqrt_binary64_100`
52×	`*-un-lft-identity_binary64_78`
44×	`times-frac_binary64_84`
32×	`add-exp-log_binary64_116`
31×	`add-cube-cbrt_binary64_113`
20×	`add-cbrt-cube_binary64_114`
18×	`associate-r_binary64_18`
13×	`cancel-sign-sub-inv_binary64_44`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127`
7×	`pow1_binary64_139` `distribute-lft-out_binary64_29`
6×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `difference-of-squares_binary64_47` `associate-/r/_binary64_24`
4×	`cbrt-unprod_binary64_111` `div-inv_binary64_75` `associate-/l*_binary64_23`
3×	`1-exp_binary64_122` `rec-exp_binary64_128` `distribute-lft-out--_binary64_30` `unswap-sqr_binary64_46` `associate-l_binary64_19`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `un-div-inv_binary64_76` `associate-/l/_binary64_25` `associate-*r/_binary64_20` `flip3--_binary64_82` `flip--_binary64_53` `flip3-+_binary64_81` `flip-+_binary64_52`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

4 → 140

Calls

4 calls:

14.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
13.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 1 (+.f64 t1 u))

Compiler

Compiled 2924 to 1467 computations (49.8% saved)

series544.0ms (5.5%)

Error

0.2b

Counts

4 → 78

Calls

4 calls:

222.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
116.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
78.0ms	(/.f64 1 (+.f64 t1 u))
63.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 3366 to 2378 computations (29.4% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5378	3110

prune169.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	218	8	226

Error

0.2b

Counts

226 → 8

Compiler

Compiled 3830 to 1666 computations (56.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))
6.7b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.7b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.7b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite627.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

304×	`times-frac_binary64_84`
235×	`add-sqr-sqrt_binary64_100`
229×	`*-un-lft-identity_binary64_78`
132×	`cbrt-prod_binary64_109`
125×	`add-cube-cbrt_binary64_113`
44×	`difference-of-squares_binary64_47`
30×	`distribute-lft-out_binary64_29`
22×	`distribute-lft-out--_binary64_30` `associate-/r/_binary64_24`
18×	`associate-/l*_binary64_23`
11×	`div-inv_binary64_75`
10×	`flip3-+_binary64_81` `flip-+_binary64_52`
9×	`add-exp-log_binary64_116` `associate-/r*_binary64_22`
8×	`cbrt-div_binary64_110`
7×	`add-cbrt-cube_binary64_114`
4×	`pow1_binary64_139` `add-log-exp_binary64_117` `flip3--_binary64_82` `flip--_binary64_53`
3×	`pow1/3_binary64_160` `div-exp_binary64_129` `cbrt-undiv_binary64_112`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25`

Counts

4 → 254

Calls

4 calls:

18.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))
9.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 10924 to 5396 computations (50.6% saved)

series1.1s (10.8%)

Error

0.2b

Counts

4 → 58

Calls

4 calls:

388.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))
194.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
190.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
189.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 6563 to 4831 computations (26.4% saved)

simplify140.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4996	10663
1	4996	10663

prune710.0ms (7.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	312	8	320

Error

0.2b

Counts

320 → 8

Compiler

Compiled 12982 to 6605 computations (49.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 (+.f64 t1 u) v)
0.8b	(/.f64 1 (/.f64 (+.f64 t1 u) v))
1.0b	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

rewrite945.0ms (9.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

1078×	`times-frac_binary64_84`
685×	`add-sqr-sqrt_binary64_100`
678×	`*-un-lft-identity_binary64_78`
410×	`add-cube-cbrt_binary64_113`
110×	`difference-of-squares_binary64_47`
79×	`distribute-lft-out_binary64_29`
60×	`associate-/l*_binary64_23`
55×	`distribute-lft-out--_binary64_30`
36×	`add-exp-log_binary64_116` `div-inv_binary64_75`
25×	`associate-/r*_binary64_22`
22×	`div-exp_binary64_129`
20×	`add-cbrt-cube_binary64_114`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
6×	`add-log-exp_binary64_117`
5×	`pow1_binary64_139`
4×	`1-exp_binary64_122` `rec-exp_binary64_128`
3×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25`
2×	`flip3--_binary64_82` `flip--_binary64_53`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `flip3-+_binary64_81` `flip-+_binary64_52` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

4 → 548

Calls

4 calls:

28.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
8.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 (+.f64 t1 u) v)

Compiler

Compiled 16030 to 7396 computations (53.9% saved)

series570.0ms (5.8%)

Error

0.2b

Counts

4 → 72

Calls

4 calls:

230.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
124.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
99.0ms	(/.f64 (+.f64 t1 u) v)
63.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 2952 to 2037 computations (31% saved)

simplify198.0ms (2%)

Algorithm

1×	egg-herbie

Counts

620 → 620

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5146	19136

prune737.0ms (7.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	620	0	620
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	620	8	628

Error

0.2b

Counts

628 → 8

Compiler

Compiled 15112 to 5858 computations (61.2% saved)

regimes492.0ms (5%)

Accuracy

Total 1.4b remaining (87.5%)

Threshold costs 0b (0%)

Compiler

Compiled 6034 to 4178 computations (30.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms (0%)

sample1.7s (17.1%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
13.0ms	262×	body	128	invalid

Compiler

Compiled 1527 to 1059 computations (30.6% saved)

Details

analyze452.0ms (4.6%)

sample22.0ms (0.2%)

simplify158.0ms (1.6%)

prune7.0ms (0.1%)

localize9.0ms (0.1%)

rewrite274.0ms (2.8%)

series444.0ms (4.5%)

simplify110.0ms (1.1%)

prune240.0ms (2.4%)

localize9.0ms (0.1%)

rewrite176.0ms (1.8%)

series544.0ms (5.5%)

simplify79.0ms (0.8%)

prune169.0ms (1.7%)

localize13.0ms (0.1%)

rewrite627.0ms (6.3%)

series1.1s (10.8%)

simplify140.0ms (1.4%)

prune710.0ms (7.2%)

localize9.0ms (0.1%)

rewrite945.0ms (9.5%)

series570.0ms (5.8%)

simplify198.0ms (2%)

prune737.0ms (7.4%)

regimes492.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (17.1%)

Profiling