Details

analyze24.0ms (0.5%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify100.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune2.0ms (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

17.1b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

16.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
16.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_5224`
3×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `times-frac_binary64_5199` `add-sqr-sqrt_binary64_5215`
1×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `cbrt-div_binary64_5225` `div-inv_binary64_5190` `add-exp-log_binary64_5231` `pow1/3_binary64_5275` `pow1_binary64_5254`

Counts

1 → 16

Calls

2 calls:

3.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
0.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series236.0ms (4.5%)

Counts

1 → 6

Calls

1 calls:

236.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 160 to 160 computations (0% saved)

simplify102.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4788	281
1	4788	281

prune32.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	15	7	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	8	23

Error

0.2b

Counts

23 → 8

Compiler

Compiled 308 to 225 computations (26.9% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)
0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (*.f64 2 a))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_5224`
24×	`times-frac_binary64_5199`
21×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
6×	`associate-/l*_binary64_5138`
5×	`add-exp-log_binary64_5231`
4×	`associate-/r*_binary64_5137`
3×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `pow1_binary64_5254`
2×	`pow1/3_binary64_5275`
1×	`div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `div-exp_binary64_5244` `frac-2neg_binary64_5204`

Counts

3 → 66

Calls

6 calls:

4.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)
0.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.0ms	(cbrt.f64 g)

series435.0ms (8.3%)

Counts

3 → 12

Calls

3 calls:

276.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
84.0ms	(cbrt.f64 (*.f64 2 a))
75.0ms	(cbrt.f64 g)

Compiler

Compiled 282 to 282 computations (0% saved)

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4910	1160
1	4910	1160

prune93.0ms (1.8%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	67	11	78
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	69	17	86

Error

0.0b

Counts

86 → 17

Compiler

Compiled 1199 to 778 computations (35.1% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)
0.4b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
0.2b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.2b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.4b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (*.f64 2 a))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_5215`
28×	`times-frac_binary64_5199`
26×	`*-un-lft-identity_binary64_5193`
24×	`add-cube-cbrt_binary64_5228`
17×	`cbrt-prod_binary64_5224` `add-exp-log_binary64_5231`
16×	`associate-r_binary64_5133`
7×	`add-cbrt-cube_binary64_5229` `pow1_binary64_5254`
6×	`associate-l_binary64_5134` `unswap-sqr_binary64_5161`
4×	`add-log-exp_binary64_5232` `div-exp_binary64_5244` `prod-exp_binary64_5242` `associate-/r*_binary64_5137`
3×	`associate-/l*_binary64_5138` `pow1/3_binary64_5275`
2×	`div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `1-exp_binary64_5237` `pow-flip_binary64_5267` `rec-exp_binary64_5243` `cbrt-unprod_binary64_5226`
1×	`pow-prod-down_binary64_5264` `un-div-inv_binary64_5191` `-commutative_binary64_5124` `clear-num_binary64_5192` `associate-r/_binary64_5135` `inv-pow_binary64_5278` `frac-2neg_binary64_5204`

Counts

4 → 101

Calls

8 calls:

13.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
4.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)
0.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))

series551.0ms (10.5%)

Counts

4 → 15

Calls

4 calls:

280.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
104.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
85.0ms	(cbrt.f64 (*.f64 2 a))
83.0ms	(cbrt.f64 g)

Compiler

Compiled 384 to 384 computations (0% saved)

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5199	1421

prune113.0ms (2.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	4	10	14
Picked	0	1	1
Done	1	1	2
Total	117	16	133

Error

0.0b

Counts

133 → 16

Compiler

Compiled 1745 to 1254 computations (28.1% saved)

localize7.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)
0.3b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.3b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.3b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.3b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (*.f64 2 a))

rewrite39.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64_5199`
111×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
98×	`cbrt-prod_binary64_5224`
34×	`associate-/r*_binary64_5137`
17×	`add-exp-log_binary64_5231`
8×	`div-exp_binary64_5244`
7×	`add-cbrt-cube_binary64_5229` `associate-/l*_binary64_5138`
6×	`div-inv_binary64_5190`
5×	`pow1_binary64_5254`
4×	`add-log-exp_binary64_5232` `cbrt-undiv_binary64_5227`
2×	`clear-num_binary64_5192` `1-exp_binary64_5237` `rec-exp_binary64_5243` `pow1/3_binary64_5275` `frac-2neg_binary64_5204`
1×	`associate-/r/_binary64_5139` `pow-flip_binary64_5267` `inv-pow_binary64_5278`

Counts

4 → 202

Calls

8 calls:

9.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
4.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)
0.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

series679.0ms (12.9%)

Counts

4 → 18

Calls

4 calls:

271.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
249.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
85.0ms	(cbrt.f64 (*.f64 2 a))
72.0ms	(cbrt.f64 g)

Compiler

Compiled 496 to 496 computations (0% saved)

simplify107.0ms (2%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5039	4471

prune223.0ms (4.2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	214	6	220
Fresh	2	11	13
Picked	1	0	1
Done	0	2	2
Total	217	19	236

Error

0.0b

Counts

236 → 19

Compiler

Compiled 3546 to 2300 computations (35.1% saved)

simplify23.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	215	1253
1	215	1253

regimes475.0ms (9%)

Compiler: Compiled 3998 to 3533 computations (11.6% saved)

bsearch0.0ms (0%)

regimes112.0ms (2.1%)

Compiler: Compiled 387 to 435 computations (-12.4% saved)

bsearch0.0ms (0%)

regimes102.0ms (1.9%)

Compiler: Compiled 285 to 341 computations (-19.6% saved)

bsearch0.0ms (0%)

regimes79.0ms (1.5%)

Compiler: Compiled 192 to 240 computations (-25% saved)

bsearch0.0ms (0%)

regimes47.0ms (0.9%)

Compiler: Compiled 77 to 113 computations (-46.8% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.3%)

Accuracy

Total 0.8b remaining (97%)

Threshold costs 0.8b (97%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 38 to 40 computations (-5.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	58
1	24	58

end0.0ms (0%)

sample1.4s (26.9%)

Algorithm

1×

intervals

Results

228.0ms

8000×

body

128

valid

Compiler

Compiled 806 to 717 computations (11% saved)

Pareto

0.25502106142746883

Details

analyze24.0ms (0.5%)

sample14.0ms (0.3%)

simplify100.0ms (1.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite4.0ms (0.1%)

series236.0ms (4.5%)

simplify102.0ms (1.9%)

prune32.0ms (0.6%)

localize6.0ms (0.1%)

rewrite12.0ms (0.2%)

series435.0ms (8.3%)

simplify96.0ms (1.8%)

prune93.0ms (1.8%)

localize8.0ms (0.1%)

rewrite27.0ms (0.5%)

series551.0ms (10.5%)

simplify65.0ms (1.2%)

prune113.0ms (2.2%)

localize7.0ms (0.1%)

rewrite39.0ms (0.7%)

series679.0ms (12.9%)

simplify107.0ms (2%)

prune223.0ms (4.2%)

simplify23.0ms (0.4%)

regimes475.0ms (9%)

bsearch0.0ms (0%)

regimes112.0ms (2.1%)

bsearch0.0ms (0%)

regimes102.0ms (1.9%)

bsearch0.0ms (0%)

regimes79.0ms (1.5%)

bsearch0.0ms (0%)

regimes47.0ms (0.9%)

bsearch0.0ms (0%)

regimes17.0ms (0.3%)

bsearch4.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (26.9%)

Profiling