Details

analyze606.0ms (1%)

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
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)

sample27.0ms (0%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify813.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (630.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune28.0ms (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

Merged error: 0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize36.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
1.9b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite294.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_114` `div-inv_binary64_75` `associate-/r*_binary64_22` `add-exp-log_binary64_116`
8×	`flip-+_binary64_52` `flip3-+_binary64_81`
5×	`add-log-exp_binary64_117`
4×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
3×	`pow1_binary64_139`
2×	`flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77`
1×	`diff-log_binary64_170` `associate-/l/_binary64_25` `sub-neg_binary64_71`

Counts

3 → 209

Calls

3 calls:

89.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
43.0ms	(-.f64 -1 (/.f64 u t1))
43.0ms	(/.f64 v (+.f64 t1 u))

series374.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

226.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
105.0ms	(/.f64 v (+.f64 t1 u))
43.0ms	(-.f64 -1 (/.f64 u t1))

simplify275.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4988	5856
1	4988	5856

prune2.9s (4.9%)

Pruning

89 alts after pruning (88 fresh and 1 done)

	Pruned	Kept	Total
New	131	87	218
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	131	89	220

Merged error: 0.2b

Counts

220 → 89

Compiler

Compiled 6815 to 2928 computations (57% saved)

localize69.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite144.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_100`
18×	`cbrt-div_binary64_110` `cbrt-prod_binary64_109`
16×	`add-exp-log_binary64_116`
13×	`*-un-lft-identity_binary64_78`
9×	`flip3--_binary64_82` `flip--_binary64_53`
8×	`add-cbrt-cube_binary64_114` `associate-/r/_binary64_24`
7×	`add-cube-cbrt_binary64_113`
6×	`difference-of-squares_binary64_47`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `times-frac_binary64_84` `frac-times_binary64_88` `pow1_binary64_139`
3×	`distribute-lft-out--_binary64_30` `pow1/3_binary64_160`
2×	`associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22` `clear-num_binary64_77`

Counts

4 → 77

Calls

4 calls:

64.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
16.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
16.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
14.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series2.6s (4.4%)

Counts

4 → 12

Calls

4 calls:

743.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
663.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
610.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
530.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify183.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4930	1657
1	4930	1657

prune2.1s (3.6%)

Pruning

123 alts after pruning (121 fresh and 2 done)

	Pruned	Kept	Total
New	53	36	89
Fresh	2	85	87
Picked	0	1	1
Done	0	1	1
Total	55	123	178

Merged error: 0.2b

Counts

178 → 123

Compiler

Compiled 6862 to 3792 computations (44.7% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite58.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_100`
21×	`cbrt-prod_binary64_109`
14×	`*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113`
6×	`cbrt-div_binary64_110` `difference-of-squares_binary64_47`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1/3_binary64_160` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`distribute-lft-out--_binary64_30` `flip3--_binary64_82` `times-frac_binary64_84` `flip--_binary64_53`

Counts

4 → 59

Calls

4 calls:

20.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
12.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
11.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
2.0ms	(cbrt.f64 v)

series1.6s (2.8%)

Counts

4 → 12

Calls

4 calls:

532.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
484.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
452.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
155.0ms	(cbrt.f64 v)

simplify152.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4900	971
1	4900	971

prune2.9s (4.9%)

Pruning

145 alts after pruning (142 fresh and 3 done)

	Pruned	Kept	Total
New	48	23	71
Fresh	1	119	120
Picked	0	1	1
Done	0	2	2
Total	49	145	194

Merged error: 0.2b

Counts

194 → 145

Compiler

Compiled 7231 to 4244 computations (41.3% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (neg.f64 v))
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite62.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_109`
25×	`add-sqr-sqrt_binary64_100`
16×	`*-un-lft-identity_binary64_78`
10×	`add-cube-cbrt_binary64_113`
6×	`cbrt-div_binary64_110` `difference-of-squares_binary64_47`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1/3_binary64_160` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`distribute-lft-neg-in_binary64_35` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `times-frac_binary64_84` `flip--_binary64_53` `distribute-rgt-neg-in_binary64_36`
1×	`neg-mul-1_binary64_74`

Counts

4 → 66

Calls

4 calls:

14.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
14.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
13.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
3.0ms	(cbrt.f64 (neg.f64 v))

series1.3s (2.3%)

Counts

4 → 12

Calls

4 calls:

458.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
340.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
328.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
187.0ms	(cbrt.f64 (neg.f64 v))

simplify162.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	5133	1074

prune1.9s (3.3%)

Pruning

166 alts after pruning (162 fresh and 4 done)

	Pruned	Kept	Total
New	55	23	78
Fresh	2	139	141
Picked	0	1	1
Done	0	3	3
Total	57	166	223

Merged error: 0.2b

Counts

223 → 166

Compiler

Compiled 3456 to 1843 computations (46.7% saved)

regimes8.7s (14.9%)

Compiler: Compiled 42919 to 28590 computations (33.4% saved)

bsearch6.7s (11.5%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	52
1	35	52

end0.0ms (0%)

sample24.3s (41.6%)

Algorithm

1×

intervals

Results

559.0ms	8000×	body	128	valid
15.0ms	264×	body	128	invalid

Compiler

Compiled 10770 to 7174 computations (33.4% saved)

Pareto

Details

analyze606.0ms (1%)

sample27.0ms (0%)

simplify813.0ms (1.4%)

prune28.0ms (0%)

localize36.0ms (0.1%)

rewrite294.0ms (0.5%)

series374.0ms (0.6%)

simplify275.0ms (0.5%)

prune2.9s (4.9%)

localize69.0ms (0.1%)

rewrite144.0ms (0.2%)

series2.6s (4.4%)

simplify183.0ms (0.3%)

prune2.1s (3.6%)

localize30.0ms (0.1%)

rewrite58.0ms (0.1%)

series1.6s (2.8%)

simplify152.0ms (0.3%)

prune2.9s (4.9%)

localize43.0ms (0.1%)

rewrite62.0ms (0.1%)

series1.3s (2.3%)

simplify162.0ms (0.3%)

prune1.9s (3.3%)

regimes8.7s (14.9%)

bsearch6.7s (11.5%)

simplify7.0ms (0%)

end0.0ms (0%)

sample24.3s (41.6%)

Profiling