Details

analyze624.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5013	192
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample58.0ms (0.8%)

Algorithm

1×

intervals

Results

42.0ms	244×	body	256	valid
3.0ms	31×	body	128	nan
1.0ms	12×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify237.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune8.0ms (0.1%)

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

35.8b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.3b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
9.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2487`
11×	`cbrt-prod_binary64_2496`
10×	`*-un-lft-identity_binary64_2465`
9×	`sqrt-prod_binary64_2481`
8×	`add-cube-cbrt_binary64_2500`
6×	`times-frac_binary64_2471` `pow1_binary64_2526`
4×	`difference-of-squares_binary64_2434` `add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
2×	`flip--_binary64_2440` `pow1/2_binary64_2545` `cbrt-div_binary64_2497` `pow1/3_binary64_2547` `rem-sqrt-square_binary64_2478` `flip3--_binary64_2469` `sqrt-pow1_binary64_2483`
1×	`associate-*l/_binary64_2408` `distribute-lft-out--_binary64_2417` `div-inv_binary64_2462`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series552.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
244.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
30.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5115	1656

prune163.0ms (2.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	54	19	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	55	20	75

Error

31.3b

Counts

75 → 20

Compiler

Compiled 3573 to 1363 computations (61.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
8.3b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2487`
10×	`*-un-lft-identity_binary64_2465` `cbrt-prod_binary64_2496`
9×	`sqrt-prod_binary64_2481`
8×	`add-cube-cbrt_binary64_2500`
6×	`add-log-exp_binary64_2504` `times-frac_binary64_2471` `pow1_binary64_2526`
5×	`difference-of-squares_binary64_2434`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`flip--_binary64_2440` `flip3--_binary64_2469`
2×	`pow1/2_binary64_2545` `rem-sqrt-square_binary64_2478` `sqrt-pow1_binary64_2483`
1×	`cbrt-div_binary64_2497` `distribute-lft-out--_binary64_2417` `sub-neg_binary64_2458` `pow1/3_binary64_2547` `cancel-sign-sub-inv_binary64_2431` `div-inv_binary64_2462` `diff-log_binary64_2557`

Counts

4 → 64

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series335.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
33.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
22.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5010	1501

prune149.0ms (2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	74	22	96

Error

29.5b

Counts

96 → 22

Compiler

Compiled 3760 to 1468 computations (61% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
9.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`sqrt-prod_binary64_2481` `add-sqr-sqrt_binary64_2487`
6×	`*-un-lft-identity_binary64_2465` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `pow1_binary64_2526`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`difference-of-squares_binary64_2434` `flip--_binary64_2440` `flip3--_binary64_2469`
2×	`pow1/2_binary64_2545` `rem-sqrt-square_binary64_2478` `sqrt-pow1_binary64_2483`
1×	`associate-*l/_binary64_2408` `cbrt-div_binary64_2497` `sub-neg_binary64_2458` `pow1/3_binary64_2547` `cancel-sign-sub-inv_binary64_2431` `diff-log_binary64_2557` `cbrt-prod_binary64_2496`

Counts

4 → 55

Calls

4 calls:

8.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series325.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
21.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4981	1104
1	4981	1104

prune132.0ms (1.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	1	20	21
Picked	0	1	1
Done	0	0	0
Total	65	24	89

Error

29.5b

Counts

89 → 24

Compiler

Compiled 3373 to 1361 computations (59.7% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
9.3b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`sqrt-prod_binary64_2481` `add-sqr-sqrt_binary64_2487`
6×	`*-un-lft-identity_binary64_2465` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `pow1_binary64_2526`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`difference-of-squares_binary64_2434` `flip--_binary64_2440` `flip3--_binary64_2469`
2×	`pow1/2_binary64_2545` `rem-sqrt-square_binary64_2478` `sqrt-pow1_binary64_2483`
1×	`associate-*l/_binary64_2408` `cbrt-div_binary64_2497` `sub-neg_binary64_2458` `pow1/3_binary64_2547` `cancel-sign-sub-inv_binary64_2431` `diff-log_binary64_2557` `cbrt-prod_binary64_2496`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series328.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
32.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
21.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4981	1104
1	4981	1104

prune87.0ms (1.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	21	22
Picked	1	0	1
Done	0	1	1
Total	68	23	91

Error

29.4b

Counts

91 → 23

Compiler

Compiled 2463 to 859 computations (65.1% saved)

regimes999.0ms (13.4%)

Accuracy

Total 0.7b remaining (2.2%)

Threshold costs 0.7b (2.2%)

Compiler

Compiled 13150 to 7621 computations (42% saved)

bsearch40.0ms (0.5%)

Steps

Iters	Range		Point
4	-8.988375417873013e-175	-5.530121811417135e-175	-8.880304992671268e-175

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	95
1	67	95

end0.0ms (0%)

sample2.9s (39.4%)

Algorithm

1×

intervals

Results

1.3s	7590×	body	256	valid
116.0ms	1185×	body	128	nan
37.0ms	410×	body	128	valid

Compiler

Compiled 1963 to 1135 computations (42.2% saved)

Details

analyze624.0ms (8.4%)

sample58.0ms (0.8%)

simplify237.0ms (3.2%)

prune8.0ms (0.1%)

localize17.0ms (0.2%)

rewrite31.0ms (0.4%)

series552.0ms (7.4%)

simplify60.0ms (0.8%)

prune163.0ms (2.2%)

localize18.0ms (0.2%)

rewrite28.0ms (0.4%)

series335.0ms (4.5%)

simplify79.0ms (1.1%)

prune149.0ms (2%)

localize19.0ms (0.2%)

rewrite26.0ms (0.4%)

series325.0ms (4.4%)

simplify76.0ms (1%)

prune132.0ms (1.8%)

localize19.0ms (0.3%)

rewrite30.0ms (0.4%)

series328.0ms (4.4%)

simplify73.0ms (1%)

prune87.0ms (1.2%)

regimes999.0ms (13.4%)

bsearch40.0ms (0.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.9s (39.4%)

Profiling