Details

analyze474.0ms

Algorithm

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

sample25.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify560.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune8.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 21

Calls

1 calls:

8.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify87.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5092	223

prune100.0ms

Filtered

18 candidates to 24 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0b

Counts

25 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (+.f64 x y))) (cbrt.f64 (*.f64 z (+.f64 x y))))
4.1b	(cbrt.f64 (*.f64 z (+.f64 x y)))
4.1b	(cbrt.f64 (*.f64 z (+.f64 x y)))
4.1b	(cbrt.f64 (*.f64 z (+.f64 x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series506.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(.f64 (cbrt.f64 (.f64 z (+.f64 x y))) (cbrt.f64 (*.f64 z (+.f64 x y))))
121.0ms	(cbrt.f64 (*.f64 z (+.f64 x y)))
109.0ms	(cbrt.f64 (*.f64 z (+.f64 x y)))
119.0ms	(cbrt.f64 (*.f64 z (+.f64 x y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5790	1249

prune265.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.0b	(sqrt.f64 (+.f64 x y))
0.1b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))
0.2b	(*.f64 z (sqrt.f64 (+.f64 x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-r/_binary64` `associate-l*_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x y))
12.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))
7.0ms	(*.f64 z (sqrt.f64 (+.f64 x y)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt.f64 (+.f64 x y))
20.0ms	(sqrt.f64 (+.f64 x y))
51.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 z (sqrt.f64 (+.f64 x y))))
56.0ms	(*.f64 z (sqrt.f64 (+.f64 x y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5081	1395

prune15.0ms

Filtered: 67 candidates to 99 candidates (-47.8%)

Details

analyze474.0ms

sample25.0ms

simplify560.0ms

prune8.0ms

localize8.0ms

rewrite10.0ms

series36.0ms

simplify87.0ms

prune100.0ms

localize13.0ms

rewrite21.0ms

series506.0ms

simplify92.0ms

prune265.0ms

localize21.0ms

rewrite27.0ms

series147.0ms

simplify115.0ms

prune15.0ms

Profiling