Details

analyze230.0ms

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
12.5%	87.4%	0.1%	6
18.7%	81.1%	0.1%	7
37.4%	62.4%	0.1%	8
46.8%	46.8%	6.4%	9
54.6%	39%	6.4%	10
62.8%	30.8%	6.4%	11
66.9%	23.6%	9.5%	12
71.7%	18.8%	9.5%	13
75.3%	15.2%	9.5%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	208	7
1	208	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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.2b	(.f64 (.f64 x 3) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

5.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
5.0ms	(.f64 (.f64 x 3) y)

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
4.0ms	(.f64 (.f64 x 3) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5108	267

prune41.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
0.2b	(.f64 x (.f64 3 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

5.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
6.0ms	(.f64 x (.f64 3 y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
4.0ms	(.f64 x (.f64 3 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4957	266
1	4957	266

prune34.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

15.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z)) (cbrt.f64 (-.f64 (.f64 (*.f64 x 3) y) z)))
6.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
6.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
6.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))

series147.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z)) (cbrt.f64 (-.f64 (.f64 (*.f64 x 3) y) z)))
34.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
36.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
34.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4925	1441
1	4925	1441

prune135.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
0.2b	(.f64 (.f64 x 3) y)
0.2b	(.f64 (.f64 x 3) y)
0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x 3) y) z)) (sqrt.f64 (-.f64 (.f64 (*.f64 x 3) y) z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1_binary64`
28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`sqrt-div_binary64`
12×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64` `associate-l_binary64`
7×	`flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-sqr_binary64` `*-commutative_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

6.0ms	(sqrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
5.0ms	(.f64 (.f64 x 3) y)
5.0ms	(.f64 (.f64 x 3) y)
16.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x 3) y) z)) (sqrt.f64 (-.f64 (.f64 (*.f64 x 3) y) z)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt.f64 (-.f64 (.f64 (.f64 x 3) y) z))
4.0ms	(.f64 (.f64 x 3) y)
4.0ms	(.f64 (.f64 x 3) y)
7.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x 3) y) z)) (sqrt.f64 (-.f64 (.f64 (*.f64 x 3) y) z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5119	1188

prune80.0ms

Filtered

62 candidates to 120 candidates (-93.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

regimes498.0ms

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	19	7
1	19	7

end0.0ms

sample378.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
7.0ms	288×	body	80	invalid

Details

analyze230.0ms

sample15.0ms

simplify12.0ms

prune3.0ms

localize8.0ms

rewrite11.0ms

series11.0ms

simplify58.0ms

prune41.0ms

localize5.0ms

rewrite12.0ms

series11.0ms

simplify57.0ms

prune34.0ms

localize10.0ms

rewrite35.0ms

series147.0ms

simplify52.0ms

prune135.0ms

localize10.0ms

rewrite36.0ms

series32.0ms

simplify33.0ms

prune80.0ms

regimes498.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample378.0ms

Profiling