Details

analyze1.5s (28.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample57.0ms (1.1%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	80	valid
11.0ms	219×	body	80	invalid

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune11.0ms (0.2%)

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: 0.0b

Counts

2 → 1

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series133.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

119.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
13.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5214	449

prune41.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series190.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
45.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
43.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
42.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5180	1430

prune120.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) 5)
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) 5)
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series255.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

121.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) 5)
46.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
45.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
43.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5173	1022

prune91.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Merged error: 0.0b

Counts

78 → 3

regimes1.3s (24.3%)

Accuracy

Total 0.0b remaining (13.2%)

Threshold costs 0.0b (13.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms (0%)

sample1.3s (25.4%)

Algorithm

1×

intervals

Results

414.0ms	8000×	body	80	valid
302.0ms	5464×	body	80	invalid

Details

analyze1.5s (28.2%)

sample57.0ms (1.1%)

simplify6.0ms (0.1%)

prune11.0ms (0.2%)

localize12.0ms (0.2%)

rewrite15.0ms (0.3%)

series133.0ms (2.5%)

simplify48.0ms (0.9%)

prune41.0ms (0.8%)

localize16.0ms (0.3%)

rewrite29.0ms (0.6%)

series190.0ms (3.7%)

simplify46.0ms (0.9%)

prune120.0ms (2.3%)

localize19.0ms (0.4%)

rewrite20.0ms (0.4%)

series255.0ms (4.9%)

simplify43.0ms (0.8%)

prune91.0ms (1.7%)

regimes1.3s (24.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (25.4%)

Profiling