Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	132×	body	128	valid
6.0ms	69×	body	1024	valid
2.0ms	29×	body	512	valid
1.0ms	8×	body	2048	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify169.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

Merged error: 31.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_442`
14×	`*-un-lft-identity_binary64_414`
13×	`add-sqr-sqrt_binary64_435`
5×	`add-cube-cbrt_binary64_446` `add-log-exp_binary64_450`
4×	`difference-of-squares_binary64_383`
3×	`distribute-lft-out--_binary64_368` `pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
2×	`cbrt-div_binary64_443` `distribute-lft-out_binary64_367` `pow1/3_binary64_493`
1×	`flip3--_binary64_418` `flip3-+_binary64_417` `diff-log_binary64_503` `sub-neg_binary64_407` `flip-+_binary64_388` `flip--_binary64_389`

Counts

3 → 43

Calls

3 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series316.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

170.0ms	(cbrt.f64 x)
102.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
44.0ms	(cbrt.f64 (+.f64 x 1))

simplify86.0ms (2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4976	720
1	4976	720

prune62.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0.3b

Counts

53 → 6

Compiler

Compiled 769 to 515 computations (33% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 -1/9 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
9×	`times-frac_binary64_420` `cbrt-prod_binary64_442`
6×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
4×	`pow1_binary64_472` `add-log-exp_binary64_450`
3×	`pow1/3_binary64_493` `associate-/l_binary64_361` `associate-/r_binary64_360`
1×	`clear-num_binary64_413` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `frac-2neg_binary64_425` `div-exp_binary64_462`

Counts

4 → 60

Calls

4 calls:

3.0ms	(/.f64 -1/9 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series504.0ms (11.5%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt.f64 x)
154.0ms	(cbrt.f64 x)
153.0ms	(cbrt.f64 x)
22.0ms	(/.f64 -1/9 x)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4879	502
1	4879	502

prune76.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	69	9	78

Merged error: 0.2b

Counts

78 → 9

Compiler

Compiled 1564 to 755 computations (51.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod_binary64_442`
11×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
4×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `pow1/3_binary64_493`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

series774.0ms (17.7%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt.f64 (cbrt.f64 x))
209.0ms	(cbrt.f64 (cbrt.f64 x))
194.0ms	(cbrt.f64 (cbrt.f64 x))
153.0ms	(cbrt.f64 x)

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4793	541
1	4793	541

prune90.0ms (2.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	62	12	74

Merged error: 0.2b

Counts

74 → 12

Compiler

Compiled 2091 to 833 computations (60.2% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_442`
12×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
4×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `pow1/3_binary64_493`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))

series802.0ms (18.3%)

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt.f64 (cbrt.f64 x))
204.0ms	(cbrt.f64 (cbrt.f64 x))
200.0ms	(cbrt.f64 (cbrt.f64 x))
194.0ms	(cbrt.f64 (cbrt.f64 x))

simplify113.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4692	632
1	4692	632

prune101.0ms (2.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	63	17	80

Merged error: 0.2b

Counts

80 → 17

Compiler

Compiled 2720 to 824 computations (69.7% saved)

regimes66.0ms (1.5%)

Compiler: Compiled 487 to 266 computations (45.4% saved)

bsearch30.0ms (0.7%)

Steps

Iters	Range		Point
7	6862.488564347083	1002474.5316509469	75523.64683228085
9	-201542.11873807912	-0.0008586111060720444	-58140.775394494696

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	67
1	57	67

end0.0ms (0%)

sample917.0ms (21%)

Algorithm

1×

intervals

Results

190.0ms	2018×	body	1024	valid
115.0ms	4235×	body	128	valid
68.0ms	987×	body	512	valid
31.0ms	253×	body	2048	valid
23.0ms	507×	body	256	valid

Compiler

Compiled 536 to 301 computations (43.8% saved)

Details

analyze1.0ms (0%)

sample23.0ms (0.5%)

simplify169.0ms (3.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite20.0ms (0.5%)

series316.0ms (7.2%)

simplify86.0ms (2%)

prune62.0ms (1.4%)

localize9.0ms (0.2%)

rewrite12.0ms (0.3%)

series504.0ms (11.5%)

simplify62.0ms (1.4%)

prune76.0ms (1.7%)

localize13.0ms (0.3%)

rewrite12.0ms (0.3%)

series774.0ms (17.7%)

simplify71.0ms (1.6%)

prune90.0ms (2.1%)

localize19.0ms (0.4%)

rewrite15.0ms (0.3%)

series802.0ms (18.3%)

simplify113.0ms (2.6%)

prune101.0ms (2.3%)

regimes66.0ms (1.5%)

bsearch30.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample917.0ms (21%)

Profiling