Details

analyze24.0ms (0.8%)

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

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

prune5.0ms (0.2%)

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: 14.2b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

13.9b

(cbrt.f64 (/.f64 g (*.f64 2.0 a)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
1×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`

Counts

1 → 16

Calls

1 calls:

4.0ms

(cbrt.f64 (/.f64 g (*.f64 2.0 a)))

series21.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

21.0ms

(cbrt.f64 (/.f64 g (*.f64 2.0 a)))

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4797	162
1	4797	162

prune53.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	10	9	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	10	20

Merged error: 0.2b

Counts

20 → 10

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2.0 a)))
0.5b	(cbrt.f64 (*.f64 2.0 a))
0.7b	(cbrt.f64 g)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64`
24×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64`
4×	`associate-/r*_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64`
2×	`pow1/3_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 66

Calls

3 calls:

7.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2.0 a)))
2.0ms	(cbrt.f64 (*.f64 2.0 a))
1.0ms	(cbrt.f64 g)

series65.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2.0 a)))
21.0ms	(cbrt.f64 (*.f64 2.0 a))
19.0ms	(cbrt.f64 g)

simplify45.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5161	697

prune126.0ms (4.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	67	18	85

Merged error: 0.0b

Counts

85 → 18

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2.0 a)) (cbrt.f64 g)))
0.4b	(/.f64 (cbrt.f64 (*.f64 2.0 a)) (cbrt.f64 g))
0.5b	(cbrt.f64 (*.f64 2.0 a))
0.7b	(cbrt.f64 g)

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64`
111×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
98×	`cbrt-prod_binary64`
34×	`associate-/r*_binary64`
17×	`add-exp-log_binary64`
8×	`div-exp_binary64`
7×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
6×	`div-inv_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64`
2×	`1-exp_binary64` `pow1/3_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 202

Calls

4 calls:

9.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2.0 a)) (cbrt.f64 g)))
5.0ms	(/.f64 (cbrt.f64 (*.f64 2.0 a)) (cbrt.f64 g))
2.0ms	(cbrt.f64 (*.f64 2.0 a))
1.0ms	(cbrt.f64 g)

series90.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2.0 a)) (cbrt.f64 g)))
24.0ms	(cbrt.f64 (*.f64 2.0 a))
23.0ms	(/.f64 (cbrt.f64 (*.f64 2.0 a)) (cbrt.f64 g))
18.0ms	(cbrt.f64 g)

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4946	2708
1	4946	2708

prune483.0ms (16.8%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	206	8	214
Fresh	5	10	15
Picked	1	0	1
Done	0	2	2
Total	212	20	232

Merged error: 0.0b

Counts

232 → 20

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (cbrt.f64 (*.f64 2.0 a)))
0.3b	(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2.0 a))) (/.f64 1 (cbrt.f64 g)))
0.5b	(cbrt.f64 (*.f64 2.0 a))
0.7b	(cbrt.f64 g)

rewrite64.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

946×	`times-frac_binary64`
419×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
230×	`cbrt-prod_binary64`
48×	`add-exp-log_binary64`
42×	`div-inv_binary64`
34×	`div-exp_binary64`
26×	`associate-/r*_binary64`
19×	`associate-/l*_binary64`
13×	`add-cbrt-cube_binary64`
9×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64` `associate-/r/_binary64` `inv-pow_binary64`

Counts

4 → 478

Calls

4 calls:

18.0ms	(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2.0 a))) (/.f64 1 (cbrt.f64 g)))
4.0ms	(/.f64 1 (cbrt.f64 (*.f64 2.0 a)))
2.0ms	(cbrt.f64 (*.f64 2.0 a))
1.0ms	(cbrt.f64 g)

series96.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (*.f64 2.0 a))
26.0ms	(/.f64 1 (cbrt.f64 (*.f64 2.0 a)))
25.0ms	(/.f64 (/.f64 1 (cbrt.f64 (*.f64 2.0 a))) (/.f64 1 (cbrt.f64 g)))
19.0ms	(cbrt.f64 g)

simplify157.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

490 → 490

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5038	6942

prune651.0ms (22.7%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	489	1	490
Fresh	2	15	17
Picked	0	1	1
Done	0	2	2
Total	491	19	510

Merged error: 0.0b

Counts

510 → 19

regimes427.0ms (14.9%)

Accuracy

Total 0.8b remaining (93.5%)

Threshold costs 0.8b (93.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms (0%)

sample329.0ms (11.5%)

Algorithm

1×

intervals

Results

201.0ms

8000×

body

valid

Details

analyze24.0ms (0.8%)

sample13.0ms (0.5%)

simplify5.0ms (0.2%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite4.0ms (0.1%)

series21.0ms (0.7%)

simplify75.0ms (2.6%)

prune53.0ms (1.8%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series65.0ms (2.3%)

simplify45.0ms (1.6%)

prune126.0ms (4.4%)

localize7.0ms (0.2%)

rewrite26.0ms (0.9%)

series90.0ms (3.1%)

simplify70.0ms (2.4%)

prune483.0ms (16.8%)

localize8.0ms (0.3%)

rewrite64.0ms (2.2%)

series96.0ms (3.4%)

simplify157.0ms (5.5%)

prune651.0ms (22.7%)

regimes427.0ms (14.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample329.0ms (11.5%)

Profiling