Details

analyze20.0ms

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

sample14.0ms

Algorithm

intervals

Results

5.0ms	233×	body	80	valid
1.0ms	5×	body	2560	valid
0.0ms	5×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	7×	body	320	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

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

localize4.0ms

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:

4.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify93.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5121	110

prune19.0ms

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

localize8.0ms

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

rewrite22.0ms

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:

10.0ms	(.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)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(.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)))
33.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
30.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4823	1190
1	4823	1190

prune104.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
10×	`cbrt-div_binary64`
9×	`*-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 → 55

Calls

4 calls:

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

series118.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
32.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
29.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
28.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

simplify69.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4852	739
1	4852	739

prune104.0ms

Filtered

63 candidates to 67 candidates (-6.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
6.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(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)))

simplify90.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5100	684

prune103.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	63	10	73

Merged error: 0.0b

Counts

73 → 10

regimes93.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	5
1	32	5

end0.0ms

sample354.0ms

Algorithm

intervals

Results

163.0ms	7361×	body	80	valid
22.0ms	225×	body	1280	valid
16.0ms	177×	body	640	valid
11.0ms	90×	body	2560	valid
9.0ms	91×	body	320	valid
2.0ms	56×	body	160	valid

Details

analyze20.0ms

sample14.0ms

simplify10.0ms

prune5.0ms

localize4.0ms

rewrite4.0ms

series5.0ms

simplify93.0ms

prune19.0ms

localize8.0ms

rewrite22.0ms

series128.0ms

simplify58.0ms

prune104.0ms

localize17.0ms

rewrite14.0ms

series118.0ms

simplify69.0ms

prune104.0ms

localize15.0ms

rewrite16.0ms

series117.0ms

simplify90.0ms

prune103.0ms

regimes93.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample354.0ms

Profiling