Details

analyze331.0ms (16.6%)

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
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify281.0ms (14.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (278.0ms)

Iter	Nodes	Cost
0	5520	7

prune6.0ms (0.3%)

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: 11.1b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
10.6b	(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

11.0ms	(*.f64 x (-.f64 y z))
7.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

series25.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
9.0ms	(*.f64 x (-.f64 y z))

simplify48.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4968	384
1	4968	384

prune76.0ms (3.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	6	54

Merged error: 0b

Counts

54 → 6

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 y z))
2.7b	(/.f64 x (/.f64 y (-.f64 y z)))

rewrite23.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 139

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
6.0ms	(/.f64 y (-.f64 y z))

series22.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
7.0ms	(/.f64 y (-.f64 y z))

simplify48.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4991	1832
1	4991	1832

prune143.0ms (7.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	146	5	151

Merged error: 0b

Counts

151 → 5

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) y)
3.0b	(*.f64 x (/.f64 (-.f64 y z) y))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `-commutative_binary64`

Counts

2 → 76

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms	(/.f64 (-.f64 y z) y)

series20.0ms (1%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms	(/.f64 (-.f64 y z) y)

simplify47.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5181	705

prune82.0ms (4.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
10.7b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`associate-r_binary64`
16×	`add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `prod-exp_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `times-frac_binary64`
7×	`cbrt-unprod_binary64` `associate-*r/_binary64`
4×	`pow-prod-down_binary64` `associate-l_binary64` `div-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

2 → 66

Calls

2 calls:

11.0ms	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
7.0ms	(*.f64 x (-.f64 y z))

series23.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
9.0ms	(*.f64 x (-.f64 y z))

simplify47.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	6070	564

prune68.0ms (3.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 0b

Counts

77 → 5

regimes176.0ms (8.8%)

Accuracy

Total 2.8b remaining (99.5%)

Threshold costs 0b (0%)

bsearch30.0ms (1.5%)

Steps

Iters	Range		Point
9	2.7604976449831213e-50	2.0736394674602847e-45	8.01620173754629e-48
7	-8.767925459815636e-178	-1.0041156861347172e-179	-3.6981446179524545e-179

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	31
1	31	31

end0.0ms (0%)

sample401.0ms (20.1%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	80	valid
18.0ms	715×	body	80	invalid

Details

analyze331.0ms (16.6%)

sample16.0ms (0.8%)

simplify281.0ms (14.1%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

rewrite20.0ms (1%)

series25.0ms (1.2%)

simplify48.0ms (2.4%)

prune76.0ms (3.8%)

localize5.0ms (0.2%)

rewrite23.0ms (1.2%)

series22.0ms (1.1%)

simplify48.0ms (2.4%)

prune143.0ms (7.2%)

localize5.0ms (0.2%)

rewrite19.0ms (1%)

series20.0ms (1%)

simplify47.0ms (2.4%)

prune82.0ms (4.1%)

localize6.0ms (0.3%)

rewrite20.0ms (1%)

series23.0ms (1.1%)

simplify47.0ms (2.4%)

prune68.0ms (3.4%)

regimes176.0ms (8.8%)

bsearch30.0ms (1.5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample401.0ms (20.1%)

Profiling