Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3

prune9.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.0b	(* a (+ (+ b c) d))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

5.0ms	(+ (+ b c) d)
9.0ms	(* a (+ (+ b c) d))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ b c) d)
9.0ms	(* a (+ (+ b c) d))

simplify34.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	177	179
1	861	160
2	5001	160

prune44.0ms

Filtered

45 candidates to 28 candidates (37.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ (+ b c) d))
0.3b	(* a (sqrt (+ (+ b c) d)))
0.4b	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ (+ b c) d))
5.0ms	(sqrt (+ (+ b c) d))
9.0ms	(* a (sqrt (+ (+ b c) d)))
16.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (+ (+ b c) d))
9.0ms	(sqrt (+ (+ b c) d))
19.0ms	(* a (sqrt (+ (+ b c) d)))
26.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	368	717
1	1618	641
2	5002	619

prune78.0ms

Filtered

103 candidates to 66 candidates (35.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
0.7b	(cbrt (+ (+ b c) d))
0.7b	(cbrt (+ (+ b c) d))
0.7b	(cbrt (+ (+ b c) d))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

15.0ms	(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
5.0ms	(cbrt (+ (+ b c) d))
5.0ms	(cbrt (+ (+ b c) d))
5.0ms	(cbrt (+ (+ b c) d))

series181.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
40.0ms	(cbrt (+ (+ b c) d))
44.0ms	(cbrt (+ (+ b c) d))
41.0ms	(cbrt (+ (+ b c) d))

simplify135.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	270	1018
1	860	943
2	4079	822
3	5002	808

prune95.0ms

Filtered

117 candidates to 75 candidates (35.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Merged error: 0b

Counts

120 → 3

regimes419.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample801.0ms

Algorithm

intervals

Results

310.0ms	8000×	pre	80	true
181.0ms	8000×	body	80	valid

Details

sample30.0ms

simplify12.0ms

prune9.0ms

localize6.0ms

rewrite15.0ms

series13.0ms

simplify34.0ms

prune44.0ms

localize9.0ms

rewrite37.0ms

series64.0ms

simplify51.0ms

prune78.0ms

localize13.0ms

rewrite34.0ms

series181.0ms

simplify135.0ms

prune95.0ms

regimes419.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample801.0ms

Profiling