Details

analyze1.2s (25.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample38.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	129×	body	80	invalid

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune9.0ms (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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`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 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series39.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
15.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5019	369

prune48.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.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)))

rewrite28.0ms (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:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (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)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series185.0ms (4%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(.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)))
42.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
41.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5180	1430

prune135.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series169.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
42.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
42.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
41.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5288	824

prune93.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
0.0b	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.0b	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64` `sum-log_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
7.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
6.0ms	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series373.0ms (8%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
160.0ms	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
25.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
25.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4967	1999
1	4967	1999

prune112.0ms (2.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	112	6	118

Merged error: 0.0b

Counts

118 → 6

regimes993.0ms (21.4%)

Accuracy

Total 0.0b remaining (40.3%)

Threshold costs 0.0b (40.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

end0.0ms (0%)

sample881.0ms (19%)

Algorithm

1×

intervals

Results

322.0ms	8000×	body	80	valid
157.0ms	3862×	body	80	invalid

Details

analyze1.2s (25.9%)

sample38.0ms (0.8%)

simplify5.0ms (0.1%)

prune9.0ms (0.2%)

localize9.0ms (0.2%)

rewrite12.0ms (0.3%)

series39.0ms (0.8%)

simplify51.0ms (1.1%)

prune48.0ms (1%)

localize15.0ms (0.3%)

rewrite28.0ms (0.6%)

series185.0ms (4%)

simplify45.0ms (1%)

prune135.0ms (2.9%)

localize17.0ms (0.4%)

rewrite20.0ms (0.4%)

series169.0ms (3.6%)

simplify50.0ms (1.1%)

prune93.0ms (2%)

localize11.0ms (0.2%)

rewrite42.0ms (0.9%)

series373.0ms (8%)

simplify55.0ms (1.2%)

prune112.0ms (2.4%)

regimes993.0ms (21.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample881.0ms (19%)

Profiling