Details

analyze576.0ms (7.6%)

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample58.0ms (0.8%)

Algorithm

1×

intervals

Results

21.0ms	55×	body	1024	valid
9.0ms	140×	body	128	valid
8.0ms	37×	body	512	valid
3.0ms	8×	body	1024	invalid
3.0ms	21×	body	256	valid
2.0ms	3×	body	2048	valid
1.0ms	5×	body	512	invalid
0.0ms	7×	body	128	invalid
0.0ms	3×	body	256	invalid
0.0ms	4×	body	128	nan

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify237.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4915	13
1	4915	13

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 11.0b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
0.0b	(/.f64 x (+.f64 x y))
5.6b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_12215`
118×	`*-un-lft-identity_binary64_12209`
90×	`unpow-prod-down_binary64_12285`
80×	`add-sqr-sqrt_binary64_12230` `add-cube-cbrt_binary64_12241`
25×	`associate-/l*_binary64_12156`
19×	`distribute-lft-out_binary64_12162`
16×	`add-exp-log_binary64_12244`
12×	`associate-/r/_binary64_12157`
7×	`associate-/r*_binary64_12155` `add-cbrt-cube_binary64_12242` `div-exp_binary64_12257` `div-inv_binary64_12206`
6×	`flip3-+_binary64_12212` `flip-+_binary64_12183`
5×	`sqr-pow_binary64_12181`
4×	`pow-exp_binary64_12274` `pow1_binary64_12267`
3×	`add-log-exp_binary64_12245` `pow-unpow_binary64_12283`
2×	`clear-num_binary64_12208` `cbrt-undiv_binary64_12240` `pow-to-exp_binary64_12275` `frac-2neg_binary64_12220`
1×	`pow-pow_binary64_12278`

Counts

3 → 172

Calls

3 calls:

13.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
6.0ms	(/.f64 x (+.f64 x y))

series652.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

364.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
237.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
51.0ms	(/.f64 x (+.f64 x y))

simplify113.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4972	4031
1	4972	4031

prune146.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	3	182

Merged error: 0.5b

Counts

182 → 3

Compiler

Compiled 3398 to 674 computations (80.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.7b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
2.0b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite66.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64_12285`
51×	`cbrt-prod_binary64_12237`
48×	`*-un-lft-identity_binary64_12209`
43×	`times-frac_binary64_12215`
36×	`add-sqr-sqrt_binary64_12230` `add-cube-cbrt_binary64_12241`
20×	`add-exp-log_binary64_12244`
14×	`cbrt-div_binary64_12238`
10×	`associate-/r/_binary64_12157`
7×	`pow-exp_binary64_12274` `flip3-+_binary64_12212` `flip-+_binary64_12183`
6×	`distribute-lft-out_binary64_12162` `pow1_binary64_12267` `pow-unpow_binary64_12283`
5×	`div-exp_binary64_12257`
4×	`add-log-exp_binary64_12245` `frac-times_binary64_12219` `add-cbrt-cube_binary64_12242` `prod-exp_binary64_12255`
2×	`associate-l/_binary64_12154` `pow-pow_binary64_12278` `pow1/3_binary64_12288` `div-inv_binary64_12206` `sqr-pow_binary64_12181` `pow-to-exp_binary64_12275` `associate-r/_binary64_12153`

Counts

4 → 116

Calls

4 calls:

24.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
21.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series1.2s (15.8%)

Counts

4 → 12

Calls

4 calls:

470.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
441.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
148.0ms	(cbrt.f64 x)
142.0ms	(cbrt.f64 x)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4923	3064
1	4923	3064

prune155.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

Compiler

Compiled 4691 to 907 computations (80.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.7b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
2.9b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod_binary64_12237`
85×	`*-un-lft-identity_binary64_12209`
84×	`times-frac_binary64_12215`
61×	`add-sqr-sqrt_binary64_12230` `add-cube-cbrt_binary64_12241`
48×	`unpow-prod-down_binary64_12285` `log-prod_binary64_12292`
12×	`distribute-lft-out_binary64_12162`
10×	`add-exp-log_binary64_12244`
6×	`pow1_binary64_12267`
4×	`add-log-exp_binary64_12245` `cbrt-div_binary64_12238` `associate-/r/_binary64_12157` `add-cbrt-cube_binary64_12242`
3×	`pow-unpow_binary64_12283`
2×	`rem-log-exp_binary64_12247` `pow-exp_binary64_12274` `flip3-+_binary64_12212` `div-exp_binary64_12257` `pow1/3_binary64_12288` `flip-+_binary64_12183` `div-inv_binary64_12206`
1×	`log-pow_binary64_12295` `pow-pow_binary64_12278` `log-div_binary64_12293` `sqr-pow_binary64_12181` `pow-to-exp_binary64_12275`

Counts

4 → 144

Calls

4 calls:

13.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
9.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series883.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

435.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
156.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)
141.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5432	3670

prune182.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	156	3	159

Merged error: 0.0b

Counts

159 → 3

Compiler

Compiled 5262 to 1577 computations (70% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_12230` `*-un-lft-identity_binary64_12209` `add-cube-cbrt_binary64_12241` `times-frac_binary64_12215`
3×	`associate-/r_binary64_12155` `add-cbrt-cube_binary64_12242` `associate-/l_binary64_12156`
2×	`associate-/l/_binary64_12158` `add-exp-log_binary64_12244`
1×	`pow1_binary64_12267` `clear-num_binary64_12208` `exp-neg_binary64_12253` `add-log-exp_binary64_12245` `neg-sub0_binary64_12204` `cbrt-undiv_binary64_12240` `div-exp_binary64_12257` `div-inv_binary64_12206` `frac-2neg_binary64_12220` `exp-diff_binary64_12254`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

series48.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

48.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5088	428

prune20.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	32	3	35

Merged error: 0b

Counts

35 → 3

Compiler

Compiled 332 to 105 computations (68.4% saved)

regimes337.0ms (4.4%)

Compiler: Compiled 2132 to 1125 computations (47.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	216
1	48	216

end0.0ms (0%)

sample2.5s (32.9%)

Algorithm

1×

intervals

Results

673.0ms	1749×	body	1024	valid
276.0ms	4509×	body	128	valid
241.0ms	1044×	body	512	valid
120.0ms	170×	body	2048	valid
77.0ms	528×	body	256	valid
69.0ms	183×	body	1024	invalid
55.0ms	253×	body	512	invalid
23.0ms	174×	body	256	invalid
15.0ms	242×	body	128	invalid
8.0ms	181×	body	128	nan

Compiler

Compiled 896 to 439 computations (51% saved)

Details

analyze576.0ms (7.6%)

sample58.0ms (0.8%)

simplify237.0ms (3.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite46.0ms (0.6%)

series652.0ms (8.6%)

simplify113.0ms (1.5%)

prune146.0ms (1.9%)

localize15.0ms (0.2%)

rewrite66.0ms (0.9%)

series1.2s (15.8%)

simplify92.0ms (1.2%)

prune155.0ms (2%)

localize15.0ms (0.2%)

rewrite45.0ms (0.6%)

series883.0ms (11.6%)

simplify80.0ms (1.1%)

prune182.0ms (2.4%)

localize7.0ms (0.1%)

rewrite8.0ms (0.1%)

series48.0ms (0.6%)

simplify91.0ms (1.2%)

prune20.0ms (0.3%)

regimes337.0ms (4.4%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.5s (32.9%)

Profiling