Details

analyze383.0ms (18.9%)

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
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify76.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4930	9
1	4930	9

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: 10.4b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 y z) 1.0)
0.0b	(*.f64 x (+.f64 (-.f64 y z) 1.0))
9.7b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)

rewrite29.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `associate-r_binary64`
4×	`distribute-lft-out_binary64` `associate-*r/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `associate-+l-_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)
10.0ms	(*.f64 x (+.f64 (-.f64 y z) 1.0))
7.0ms	(+.f64 (-.f64 y z) 1.0)

series28.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)
12.0ms	(*.f64 x (+.f64 (-.f64 y z) 1.0))
3.0ms	(+.f64 (-.f64 y z) 1.0)

simplify41.0ms (2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5536	615

prune92.0ms (4.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (/.f64 x z) (+.f64 y 1.0)) x)
5.0b	(*.f64 (/.f64 x z) (+.f64 y 1.0))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

9.0ms	(*.f64 (/.f64 x z) (+.f64 y 1.0))
8.0ms	(-.f64 (*.f64 (/.f64 x z) (+.f64 y 1.0)) x)

series23.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(*.f64 (/.f64 x z) (+.f64 y 1.0))
11.0ms	(-.f64 (*.f64 (/.f64 x z) (+.f64 y 1.0)) x)

simplify40.0ms (2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5143	574

prune74.0ms (3.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 0b

Counts

63 → 6

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 y z) 1.0)
0.0b	(/.f64 z (+.f64 (-.f64 y z) 1.0))
3.6b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))

rewrite35.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`*-un-lft-identity_binary64`
138×	`times-frac_binary64`
71×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
34×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
17×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`flip3-+_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

3 → 155

Calls

3 calls:

12.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))
8.0ms	(/.f64 z (+.f64 (-.f64 y z) 1.0))
7.0ms	(+.f64 (-.f64 y z) 1.0)

series25.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))
9.0ms	(/.f64 z (+.f64 (-.f64 y z) 1.0))
3.0ms	(+.f64 (-.f64 y z) 1.0)

simplify55.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5006	2246

prune174.0ms (8.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	164	6	170

Merged error: 0b

Counts

170 → 6

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 y z) 1.0)
0.0b	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
3.6b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))

rewrite32.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
28×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
16×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `associate-+l+_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `-commutative_binary64`

Counts

3 → 92

Calls

3 calls:

13.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))
9.0ms	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
7.0ms	(+.f64 (-.f64 y z) 1.0)

series22.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))
6.0ms	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
3.0ms	(+.f64 (-.f64 y z) 1.0)

simplify54.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5095	977

prune97.0ms (4.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	101	6	107

Merged error: 0b

Counts

107 → 6

regimes190.0ms (9.4%)

Accuracy

Total 0.1b remaining (93.2%)

Threshold costs 0.1b (93.2%)

bsearch18.0ms (0.9%)

Steps

Iters	Range		Point
7	7.130617606372987e-07	0.00011811476289673999	1.4424878581264527e-06
4	-3.808636044716933e+53	-2.026876569939906e+53	-2.3052764878738166e+53

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	35
1	42	35

end0.0ms (0%)

sample463.0ms (22.9%)

Algorithm

1×

intervals

Results

246.0ms	8000×	body	80	valid
29.0ms	1002×	body	80	invalid

Details

analyze383.0ms (18.9%)

sample17.0ms (0.8%)

simplify76.0ms (3.7%)

prune6.0ms (0.3%)

localize6.0ms (0.3%)

rewrite29.0ms (1.4%)

series28.0ms (1.4%)

simplify41.0ms (2%)

prune92.0ms (4.5%)

localize9.0ms (0.4%)

rewrite19.0ms (0.9%)

series23.0ms (1.1%)

simplify40.0ms (2%)

prune74.0ms (3.7%)

localize8.0ms (0.4%)

rewrite35.0ms (1.7%)

series25.0ms (1.2%)

simplify55.0ms (2.7%)

prune174.0ms (8.6%)

localize6.0ms (0.3%)

rewrite32.0ms (1.6%)

series22.0ms (1.1%)

simplify54.0ms (2.7%)

prune97.0ms (4.8%)

regimes190.0ms (9.4%)

bsearch18.0ms (0.9%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample463.0ms (22.9%)

Profiling