Details

analyze420.0ms (5.5%)

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
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)

sample65.0ms (0.9%)

Algorithm

1×

intervals

Results

30.0ms	123×	body	320	valid
22.0ms	130×	body	160	valid
3.0ms	33×	body	80	nan
0.0ms	3×	body	80	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify337.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (322.0ms)

Iter	Nodes	Cost
0	4883	48
1	4883	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

Merged error: 37.4b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.4b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
31.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
11×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64`
9×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `insert-posit16` `sqrt-div_binary64`
2×	`cbrt-div_binary64` `pow1/2_binary64` `flip3--_binary64` `pow1/3_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`distribute-lft-out--_binary64` `div-inv_binary64` `associate-*l/_binary64`

Counts

4 → 65

Calls

4 calls:

11.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
10.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.0s (13.3%)

Counts

4 → 12

Calls

4 calls:

457.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
432.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
66.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
62.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4947	1734
1	4947	1734

prune172.0ms (2.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	60	17	77
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	62	17	79

Merged error: 33.4b

Counts

79 → 17

Compiler

Compiled 3483 to 1317 computations (62.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(-.f64 (.f64 g g) (.f64 h h))
8.4b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
31.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
9×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `times-frac_binary64`
5×	`difference-of-squares_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`cbrt-div_binary64` `sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

4 → 67

Calls

4 calls:

10.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))

series606.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

445.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
60.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
46.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify122.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4884	1560
1	4884	1560

prune147.0ms (1.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	77	19	96

Merged error: 32.2b

Counts

96 → 19

Compiler

Compiled 3641 to 1413 computations (61.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(-.f64 (.f64 g g) (.f64 h h))
8.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
31.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`cbrt-div_binary64` `sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

10.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series608.0ms (8%)

Counts

4 → 12

Calls

4 calls:

440.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
65.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
60.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
43.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4934	1160
1	4934	1160

prune130.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	69	20	89

Merged error: 32.2b

Counts

89 → 20

Compiler

Compiled 3246 to 1307 computations (59.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(-.f64 (.f64 g g) (.f64 h h))
8.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
31.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.2b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`cbrt-div_binary64` `sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

10.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series598.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

431.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
61.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
47.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4934	1160
1	4934	1160

prune97.0ms (1.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	70	20	90

Merged error: 32.2b

Counts

90 → 20

Compiler

Compiled 2564 to 896 computations (65.1% saved)

regimes211.0ms (2.8%)

Compiler: Compiled 2716 to 1674 computations (38.4% saved)

bsearch86.0ms (1.1%)

Steps

Iters	Range		Point
9	9.701878849172035e-164	7.672970497894018e-156	9.003835287081646e-161

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	72	86
1	72	86

end0.0ms (0%)

sample2.5s (32.5%)

Algorithm

1×

intervals

Results

907.0ms	3630×	body	320	valid
706.0ms	4203×	body	160	valid
104.0ms	1203×	body	80	nan
15.0ms	167×	body	80	valid

Compiler

Compiled 769 to 473 computations (38.5% saved)

Details

analyze420.0ms (5.5%)

sample65.0ms (0.9%)

simplify337.0ms (4.4%)

prune8.0ms (0.1%)

localize17.0ms (0.2%)

rewrite33.0ms (0.4%)

series1.0s (13.3%)

simplify87.0ms (1.1%)

prune172.0ms (2.3%)

localize18.0ms (0.2%)

rewrite30.0ms (0.4%)

series606.0ms (7.9%)

simplify122.0ms (1.6%)

prune147.0ms (1.9%)

localize18.0ms (0.2%)

rewrite31.0ms (0.4%)

series608.0ms (8%)

simplify119.0ms (1.6%)

prune130.0ms (1.7%)

localize18.0ms (0.2%)

rewrite28.0ms (0.4%)

series598.0ms (7.8%)

simplify115.0ms (1.5%)

prune97.0ms (1.3%)

regimes211.0ms (2.8%)

bsearch86.0ms (1.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.5s (32.5%)

Profiling