Details

analyze358.0ms (14.5%)

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
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%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify139.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5198	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: 13.8b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
13.0b	(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
6.0ms	(*.f64 x (+.f64 y z))

series19.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
8.0ms	(*.f64 x (+.f64 y z))

simplify62.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4994	376
1	4994	376

prune68.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64`
94×	`*-un-lft-identity_binary64`
62×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`associate-/r*_binary64`
16×	`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 → 123

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 z (+.f64 y z)))
5.0ms	(/.f64 z (+.f64 y z))

series19.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(/.f64 x (/.f64 z (+.f64 y z)))
6.0ms	(/.f64 z (+.f64 y z))

simplify69.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4955	1556
1	4955	1556

prune123.0ms (5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	128	5	133

Merged error: 0b

Counts

133 → 5

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 x y) z))
5.2b	(/.f64 (*.f64 x y) z)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 x y) z))
5.0ms	(/.f64 (*.f64 x y) z)

series14.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 x (/.f64 (*.f64 x y) z))
6.0ms	(/.f64 (*.f64 x y) z)

simplify55.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5188	299

prune44.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Merged error: 0b

Counts

44 → 5

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.1b	(/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (+.f64 z y))))
4.0b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (+.f64 z y)))))

rewrite111.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

597×	`times-frac_binary64`
377×	`*-un-lft-identity_binary64`
327×	`cbrt-prod_binary64`
299×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
167×	`associate-r_binary64`
78×	`add-exp-log_binary64`
50×	`cbrt-div_binary64`
39×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `prod-exp_binary64`
36×	`add-cbrt-cube_binary64`
28×	`associate-/r/_binary64`
27×	`associate-/r*_binary64`
25×	`flip3-+_binary64` `flip-+_binary64`
22×	`pow1_binary64`
21×	`associate-*r/_binary64`
18×	`cbrt-undiv_binary64` `div-exp_binary64`
16×	`frac-times_binary64`
15×	`div-inv_binary64`
13×	`pow-prod-down_binary64`
12×	`associate-*l/_binary64`
6×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64`
1×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 460

Calls

4 calls:

61.0ms	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (+.f64 z y)))))
13.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (+.f64 z y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series105.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (+.f64 z y))))
26.0ms	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (/.f64 (cbrt.f64 x) (/.f64 z (cbrt.f64 (+.f64 z y)))))
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

472 → 472

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5162	10179

prune492.0ms (20%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	472	0	472
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	472	5	477

Merged error: 0b

Counts

477 → 5

regimes171.0ms (6.9%)

Accuracy

Total 1.8b remaining (99.1%)

Threshold costs 0b (0%)

bsearch27.0ms (1.1%)

Steps

Iters	Range		Point
7	5.1982257203976994e-68	5.351229234830876e-66	3.2862580425901126e-67
9	-7.806486572883347e-46	-1.1022488371132745e-50	-4.719214907735761e-47

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	23
1	21	23

end0.0ms (0%)

sample404.0ms (16.4%)

Algorithm

1×

intervals

Results

207.0ms	8000×	body	80	valid
17.0ms	700×	body	80	invalid

Details

analyze358.0ms (14.5%)

sample18.0ms (0.7%)

simplify139.0ms (5.7%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

rewrite15.0ms (0.6%)

series19.0ms (0.8%)

simplify62.0ms (2.5%)

prune68.0ms (2.7%)

localize5.0ms (0.2%)

rewrite20.0ms (0.8%)

series19.0ms (0.8%)

simplify69.0ms (2.8%)

prune123.0ms (5%)

localize7.0ms (0.3%)

rewrite11.0ms (0.4%)

series14.0ms (0.6%)

simplify55.0ms (2.2%)

prune44.0ms (1.8%)

localize13.0ms (0.5%)

rewrite111.0ms (4.5%)

series105.0ms (4.3%)

simplify79.0ms (3.2%)

prune492.0ms (20%)

regimes171.0ms (6.9%)

bsearch27.0ms (1.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample404.0ms (16.4%)

Profiling