Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

(* (+ a b) (+ a b))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* (+ a b) (+ a b))

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	189	213
1	902	188
2	5001	170

prune45.0ms

Filtered

43 candidates to 19 candidates (44.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (+ a b))
0.0b	(+ (* a (+ a b)) (* b (+ a b)))
0.0b	(* b (+ a b))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

6.0ms	(* a (+ a b))
7.0ms	(+ (* a (+ a b)) (* b (+ a b)))
6.0ms	(* b (+ a b))

series75.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* a (+ a b))
25.0ms	(+ (* a (+ a b)) (* b (+ a b)))
25.0ms	(* b (+ a b))

simplify55.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	349	386
1	1969	333
2	5003	331

prune122.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	75	2	77

Merged error: 0b

Counts

77 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* a b))
0.0b	(* b (+ a b))
0.2b	(* a (+ (pow a 3) (pow b 3)))
0.5b	(/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1`
6×	`associate-r/` `associate-l*` `distribute-lft-out` `add-log-exp`
4×	`unpow-prod-down` `flip3-+` `cube-prod` `flip-+`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `clear-num` `sum-cubes` `flip--` `div-inv` `associate-/l*`

Counts

4 → 89

Calls

4 calls:

4.0ms	(- (* b b) (* a b))
6.0ms	(* b (+ a b))
17.0ms	(* a (+ (pow a 3) (pow b 3)))
19.0ms	(/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

series204.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* b b) (* a b))
25.0ms	(* b (+ a b))
54.0ms	(* a (+ (pow a 3) (pow b 3)))
96.0ms	(/ (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

simplify76.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	475	669
1	2692	567
2	5001	561

prune226.0ms

Filtered

101 candidates to 65 candidates (64.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample321.0ms

Algorithm

intervals

Results

104.0ms	8000×	pre	80	true
100.0ms	8000×	body	80	valid