Details

analyze18.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample13.0ms

Algorithm

intervals

Results

5.0ms	237×	body	80	valid
1.0ms	6×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	97	5
1	97	5

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(-.f64 x (*.f64 3/8 y))

simplify73.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5121	110

prune18.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite21.0ms

Algorithm

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:

9.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
28.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
31.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
28.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4823	1190
1	4823	1190

prune91.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
28.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
28.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
28.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4852	810
1	4852	810

prune101.0ms

Filtered

66 candidates to 70 candidates (-6.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite15.0ms

Algorithm

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×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
5.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
29.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
28.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
28.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5100	684

prune99.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	4	4
Picked	1	0	1
Done	0	3	3
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

regimes79.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	5
1	32	5

end0.0ms

sample369.0ms

Algorithm

intervals

Results

172.0ms	7345×	body	80	valid
20.0ms	215×	body	1280	valid
13.0ms	174×	body	640	valid
12.0ms	110×	body	2560	valid
6.0ms	101×	body	320	valid
2.0ms	55×	body	160	valid

Details

analyze18.0ms

sample13.0ms

simplify9.0ms

prune5.0ms

localize3.0ms

rewrite4.0ms

series6.0ms

simplify73.0ms

prune18.0ms

localize7.0ms

rewrite21.0ms

series125.0ms

simplify50.0ms

prune91.0ms

localize14.0ms

rewrite15.0ms

series115.0ms

simplify56.0ms

prune101.0ms

localize13.0ms

rewrite15.0ms

series115.0ms

simplify71.0ms

prune99.0ms

regimes79.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample369.0ms

Profiling