Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample20.0ms (1.2%)

Algorithm

1×

intervals

Results

6.0ms	50×	body	1280	valid
4.0ms	43×	body	640	valid
3.0ms	134×	body	80	valid
1.0ms	21×	body	320	valid
0.0ms	8×	body	160	valid

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	7
1	71	7

prune4.0ms (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: 29.7b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1.0))
0.6b	(cbrt.f64 x)
2.9b	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))

rewrite18.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-div_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 43

Calls

3 calls:

12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1.0))
1.0ms	(cbrt.f64 x)

series40.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(cbrt.f64 x)
16.0ms	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))
7.0ms	(cbrt.f64 (+.f64 x 1.0))

simplify54.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4900	503
1	4900	503

prune87.0ms (5.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	8	53

Merged error: 6.7b

Counts

53 → 8

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)) 3))
0.3b	(cbrt.f64 (+.f64 x 1.0))
0.6b	(cbrt.f64 x)
2.9b	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))

rewrite26.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`cbrt-prod_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
12×	`difference-of-squares_binary64`
10×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
6×	`add-log-exp_binary64`
4×	`cbrt-div_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`flip3--_binary64` `cube-div_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `sqr-pow_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 80

Calls

4 calls:

10.0ms	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)) 3))
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1.0))
1.0ms	(cbrt.f64 x)

series59.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)) 3))
16.0ms	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))
7.0ms	(cbrt.f64 (+.f64 x 1.0))

simplify29.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5512	1091

prune122.0ms (7.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 6.6b

Counts

100 → 9

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
22.9b	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 44

Calls

4 calls:

8.0ms	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series71.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)
16.0ms	(-.f64 (cbrt.f64 (+.f64 x 1.0)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

simplify52.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5222	339

prune73.0ms (4.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	56	9	65

Merged error: 6.6b

Counts

65 → 9

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1.0))
0.3b	(cbrt.f64 (+.f64 x 1.0))
0.6b	(cbrt.f64 x)
11.0b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 (+.f64 x 1.0)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1.0)))) (cbrt.f64 x))

rewrite22.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 50

Calls

4 calls:

13.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 (+.f64 x 1.0)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1.0)))) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1.0))
3.0ms	(cbrt.f64 (+.f64 x 1.0))
1.0ms	(cbrt.f64 x)

series51.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 (+.f64 x 1.0)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1.0)))) (cbrt.f64 x))
17.0ms	(cbrt.f64 x)
7.0ms	(cbrt.f64 (+.f64 x 1.0))
7.0ms	(cbrt.f64 (+.f64 x 1.0))

simplify39.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4906	576
1	4906	576

prune82.0ms (5.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	61	10	71

Merged error: 6.6b

Counts

71 → 10

regimes103.0ms (6.4%)

Accuracy

Total 0.4b remaining (4.1%)

Threshold costs 0.4b (4.1%)

bsearch23.0ms (1.4%)

Steps

Iters	Range		Point
8	7.2691042280114116e-09	2.086968805494545e-06	8.308058553943675e-07
10	-115598.13308486647	-5.151947114454621e-12	-3037.243172140669

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	102	68
1	102	68

end0.0ms (0%)

sample565.0ms (35.4%)

Algorithm

1×

intervals

Results

209.0ms	1780×	body	1280	valid
111.0ms	1248×	body	640	valid
96.0ms	4091×	body	80	valid
42.0ms	567×	body	320	valid
16.0ms	314×	body	160	valid

Details

analyze1.0ms (0.1%)

sample20.0ms (1.2%)

simplify7.0ms (0.4%)

prune4.0ms (0.2%)

localize5.0ms (0.3%)

rewrite18.0ms (1.1%)

series40.0ms (2.5%)

simplify54.0ms (3.4%)

prune87.0ms (5.4%)

localize8.0ms (0.5%)

rewrite26.0ms (1.6%)

series59.0ms (3.7%)

simplify29.0ms (1.8%)

prune122.0ms (7.6%)

localize12.0ms (0.7%)

rewrite13.0ms (0.8%)

series71.0ms (4.5%)

simplify52.0ms (3.2%)

prune73.0ms (4.5%)

localize10.0ms (0.6%)

rewrite22.0ms (1.4%)

series51.0ms (3.2%)

simplify39.0ms (2.5%)

prune82.0ms (5.2%)

regimes103.0ms (6.4%)

bsearch23.0ms (1.4%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample565.0ms (35.4%)

Profiling