Details

analyze331.0ms (15.5%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample18.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	232×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	5×	body	160	valid
0.0ms	3×	body	320	valid

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	148	9
1	148	9

prune7.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series7.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify44.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5080	204

prune34.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (+.f64 x y) 2))
0.0b	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
4.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

series13.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
6.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

simplify53.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5598	346

prune45.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0.0b

Counts

35 → 4

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite48.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

22.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series226.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
53.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
51.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
50.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4848	1864
1	4848	1864

prune182.0ms (8.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite34.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series210.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
53.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
53.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
51.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify32.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5416	1040

prune130.0ms (6.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

regimes176.0ms (8.2%)

Accuracy

Total 0.0b remaining (48.8%)

Threshold costs 0.0b (48.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample420.0ms (19.6%)

Algorithm

1×

intervals

Results

203.0ms	7417×	body	80	valid
21.0ms	179×	body	1280	valid
18.0ms	189×	body	640	valid
8.0ms	111×	body	320	valid
5.0ms	32×	body	2560	valid
4.0ms	72×	body	160	valid
0.0ms	9×	body	80	invalid

Details

analyze331.0ms (15.5%)

sample18.0ms (0.9%)

simplify7.0ms (0.3%)

prune7.0ms (0.3%)

localize6.0ms (0.3%)

rewrite9.0ms (0.4%)

series7.0ms (0.3%)

simplify44.0ms (2.1%)

prune34.0ms (1.6%)

localize6.0ms (0.3%)

rewrite11.0ms (0.5%)

series13.0ms (0.6%)

simplify53.0ms (2.5%)

prune45.0ms (2.1%)

localize11.0ms (0.5%)

rewrite48.0ms (2.2%)

series226.0ms (10.6%)

simplify63.0ms (2.9%)

prune182.0ms (8.5%)

localize15.0ms (0.7%)

rewrite34.0ms (1.6%)

series210.0ms (9.8%)

simplify32.0ms (1.5%)

prune130.0ms (6.1%)

regimes176.0ms (8.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample420.0ms (19.6%)

Profiling