Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	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

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

8.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	195	218
1	958	194
2	5002	180

prune47.0ms

Filtered

45 candidates to 21 candidates (46.7%)

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a a) (* b b))
0.2b	(* (fma b (- b a) (pow a 2)) (+ a (- b)))
0.4b	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
0.4b	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (fma b (- b a) (pow a 2)) (+ a (- b))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
14×	`associate-r`
12×	`add-sqr-sqrt`
8×	`pow1` `frac-times` `add-cube-cbrt` `flip3-+` `associate-*r/` `flip-+` `associate-/l/`
7×	`flip3--` `associate-l` `flip--` `distribute-lft-out`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `unpow-prod-down` `cube-prod` `div-exp` `associate-*l/` `log1p-expm1-u`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-/r/` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `distribute-rgt-neg-in` `frac-2neg` `times-frac` `fma-neg` `diff-log` `prod-diff` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l`

Counts

4 → 113

Calls

4 calls:

4.0ms	(- (* a a) (* b b))
7.0ms	(* (fma b (- b a) (pow a 2)) (+ a (- b)))
17.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
25.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (fma b (- b a) (pow a 2)) (+ a (- b))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* a a) (* b b))
47.0ms	(* (fma b (- b a) (pow a 2)) (+ a (- b)))
89.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
77.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (fma b (- b a) (pow a 2)) (+ a (- b))))

simplify135.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	682	1381
1	4628	1135
2	5001	1133

prune344.0ms

Filtered

125 candidates to 91 candidates (72.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (+ a b) 6)
0.5b	(cbrt (pow (+ a b) 6))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`cbrt-prod` `unpow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `pow-unpow`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

2 → 38

Calls

2 calls:

4.0ms	(pow (+ a b) 6)
4.0ms	(cbrt (pow (+ a b) 6))

series99.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(pow (+ a b) 6)
14.0ms	(cbrt (pow (+ a b) 6))

simplify131.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	167	213
1	629	188
2	3348	183
3	5001	178

prune63.0ms

Filtered

44 candidates to 28 candidates (63.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	44	3	47

Merged error: 0b

Counts

47 → 3

regimes59.0ms

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	5	3
1	5	3

end0.0ms

sample440.0ms

Algorithm

intervals

Results

172.0ms	8000×	pre	80	true
129.0ms	8000×	body	80	valid