Details

analyze203.0ms (3.3%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	18
1	20	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14
98.3%	1.6%	0.1%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample83.0ms (1.4%)

Algorithm

2×

intervals

Results

13.0ms

512×

body

128

valid

Compiler

Compiled 1812 to 2328 computations (-28.5% saved)

simplify11.0ms (0.2%)

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

11.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.5b

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

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

7×	`cbrt-prod_binary64_4883`
3×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `times-frac_binary64_4858` `*-un-lft-identity_binary64_4852`
1×	`pow1/3_binary64_4934` `pow1_binary64_4913` `add-log-exp_binary64_4891` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `cbrt-div_binary64_4884` `div-inv_binary64_4849`

Counts

1 → 16

Calls

1 calls:

3.0ms

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

Compiler

Compiled 194 to 140 computations (27.8% saved)

series363.0ms (5.9%)

Error

5.1b

Counts

1 → 6

Calls

1 calls:

355.0ms

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

Compiler

Compiled 240 to 227 computations (5.4% saved)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4788	281
1	4788	281

prune30.0ms (0.5%)

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 300 to 219 computations (27% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite87.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`cbrt-prod_binary64_4883`
24×	`times-frac_binary64_4858`
21×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
6×	`associate-/l*_binary64_4797`
5×	`add-exp-log_binary64_4890`
4×	`associate-/r*_binary64_4796`
3×	`pow1_binary64_4913` `add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888`
2×	`pow1/3_binary64_4934`
1×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `div-inv_binary64_4849`

Counts

3 → 66

Calls

3 calls:

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

Compiler

Compiled 932 to 554 computations (40.6% saved)

series662.0ms (10.8%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

409.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
129.0ms	(cbrt.f64 (*.f64 a 2))
112.0ms	(cbrt.f64 g)

Compiler

Compiled 423 to 396 computations (6.4% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4945	1160
1	4945	1160

prune94.0ms (1.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	66	12	78
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	69	17	86

Error

0.0b

Counts

86 → 17

Compiler

Compiled 1191 to 777 computations (34.8% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite105.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-prod_binary64_4883`
35×	`add-sqr-sqrt_binary64_4874`
21×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
20×	`times-frac_binary64_4858`
16×	`associate-r_binary64_4792`
6×	`unswap-sqr_binary64_4820` `associate-l_binary64_4793`
5×	`pow1_binary64_4913` `add-exp-log_binary64_4890`
4×	`pow1/3_binary64_4934`
3×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888`
2×	`cbrt-div_binary64_4884` `div-inv_binary64_4849` `pow-prod-down_binary64_4923`
1×	`prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `associate-r/_binary64_4794` `-commutative_binary64_4783`

Counts

3 → 74

Calls

3 calls:

10.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1018 to 641 computations (37% saved)

series631.0ms (10.3%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

377.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
127.0ms	(cbrt.f64 (/.f64 1/2 a))
117.0ms	(cbrt.f64 g)

Compiler

Compiled 435 to 408 computations (6.2% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5185	1121

prune99.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	7	7	14
Picked	1	0	1
Done	0	2	2
Total	91	12	103

Error

0.0b

Counts

103 → 12

Compiler

Compiled 1196 to 789 computations (34% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
0.6b	(cbrt.f64 g)
1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

rewrite167.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

51×	`cbrt-prod_binary64_4883`
34×	`add-sqr-sqrt_binary64_4874`
26×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
18×	`times-frac_binary64_4858`
11×	`pow1_binary64_4913`
9×	`pow1/3_binary64_4934`
6×	`add-exp-log_binary64_4890` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `unswap-sqr_binary64_4820`
2×	`pow-prod-down_binary64_4923` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `*-commutative_binary64_4783` `cbrt-div_binary64_4884` `div-inv_binary64_4849`

Counts

4 → 91

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
3.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1946 to 1596 computations (18% saved)

series290.0ms (4.8%)

Error

0.0b

Counts

4 → 6

Calls

4 calls:

162.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
118.0ms	(cbrt.f64 g)
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

Compiler

Compiled 351 to 339 computations (3.4% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5032	977

prune139.0ms (2.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	96	13	109

Error

0.0b

Counts

109 → 13

Compiler

Compiled 1810 to 1468 computations (18.9% saved)

regimes835.0ms (13.7%)

Accuracy

Total 0.8b remaining (98.8%)

Threshold costs 0.8b (98.8%)

Compiler

Compiled 6577 to 5774 computations (12.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	9	11

end0.0ms (0%)

sample1.9s (31.7%)

Algorithm

1×

intervals

Results

220.0ms

8000×

body

128

valid

Compiler

Compiled 1256 to 1105 computations (12% saved)

Details

analyze203.0ms (3.3%)

sample83.0ms (1.4%)

simplify11.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite26.0ms (0.4%)

series363.0ms (5.9%)

simplify97.0ms (1.6%)

prune30.0ms (0.5%)

localize6.0ms (0.1%)

rewrite87.0ms (1.4%)

series662.0ms (10.8%)

simplify72.0ms (1.2%)

prune94.0ms (1.5%)

localize6.0ms (0.1%)

rewrite105.0ms (1.7%)

series631.0ms (10.3%)

simplify60.0ms (1%)

prune99.0ms (1.6%)

localize11.0ms (0.2%)

rewrite167.0ms (2.7%)

series290.0ms (4.8%)

simplify91.0ms (1.5%)

prune139.0ms (2.3%)

regimes835.0ms (13.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (31.7%)

Profiling