Details

analyze260.0ms

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

sample16.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify556.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune3.0ms

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

localize6.0ms

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)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify91.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5298	223

prune13.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Merged error: 0.0b

Counts

25 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
6×	`associate-*l/_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64`

Counts

2 → 48

Calls

2 calls:

8.0ms	(*.f64 (+.f64 x y) (sqrt.f64 z))
10.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))

series92.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(*.f64 (+.f64 x y) (sqrt.f64 z))
42.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))

simplify89.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5241	625

prune23.0ms

Filtered

35 candidates to 54 candidates (-54.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod_binary64`
24×	`associate-r_binary64`
22×	`pow1_binary64`
21×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
12×	`associate-*l/_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`pow1/2_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 99

Calls

4 calls:

2.0ms	(sqrt.f64 (sqrt.f64 z))
8.0ms	(*.f64 (+.f64 x y) (sqrt.f64 z))
11.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
15.0ms	(.f64 (.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt.f64 (sqrt.f64 z))
42.0ms	(*.f64 (+.f64 x y) (sqrt.f64 z))
108.0ms	(.f64 (.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
41.0ms	(.f64 (.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4972	1405
1	4972	1405

prune52.0ms

Filtered

68 candidates to 111 candidates (-63.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample328.0ms

Algorithm

intervals

Results

152.0ms	8000×	body	80	valid
10.0ms	581×	body	80	invalid

Details

analyze260.0ms

sample16.0ms

simplify556.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series34.0ms

simplify91.0ms

prune13.0ms

localize6.0ms

rewrite20.0ms

series92.0ms

simplify89.0ms

prune23.0ms

localize9.0ms

rewrite40.0ms

series248.0ms

simplify68.0ms

prune52.0ms

regimes45.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample328.0ms

Profiling