Details

analyze25.0ms

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

sample12.0ms

Algorithm

intervals

Results

5.0ms	234×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	99	7
1	99	7

prune3.0ms

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:

3.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify111.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5762	161

prune15.0ms

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	(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	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (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:

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)))
10.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
118.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
113.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
138.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

simplify104.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4914	1829
1	4914	1829

prune120.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize16.0ms

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	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 61

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)))
5.0ms	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2)

series559.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
118.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
117.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
196.0ms	(pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2)

simplify152.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4846	1104
1	4846	1104

prune130.0ms

Filtered

63 candidates to 73 candidates (-15.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	72	9	81

Merged error: 0.0b

Counts

81 → 9

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

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)))
10.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

series494.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
122.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
122.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
136.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))

simplify105.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4914	1829
1	4914	1829

prune153.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

regimes51.0ms

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	33	7
1	33	7

end0.0ms

sample332.0ms

Algorithm

intervals

Results

161.0ms	7401×	body	80	valid
20.0ms	218×	body	1280	valid
11.0ms	158×	body	640	valid
10.0ms	94×	body	2560	valid
5.0ms	84×	body	320	valid
2.0ms	45×	body	160	valid

Details

analyze25.0ms

sample12.0ms

simplify17.0ms

prune3.0ms

localize4.0ms

rewrite4.0ms

series18.0ms

simplify111.0ms

prune15.0ms

localize8.0ms

rewrite21.0ms

series492.0ms

simplify104.0ms

prune120.0ms

localize16.0ms

rewrite14.0ms

series559.0ms

simplify152.0ms

prune130.0ms

localize14.0ms

rewrite22.0ms

series494.0ms

simplify105.0ms

prune153.0ms

regimes51.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample332.0ms

Profiling