Details

sample13.0ms

Algorithm

intervals

Results

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

simplify17.0ms

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))

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` `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 (31.0ms)

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

prune45.0ms

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

localize5.0ms

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))

series95.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(pow (+ a b) 6)
14.0ms	(cbrt (pow (+ a b) 6))

simplify127.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (123.0ms)

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

prune62.0ms

Filtered

44 candidates to 28 candidates (63.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

47 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* a b))
0.3b	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
0.5b	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
0.5b	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
46×	`distribute-lft-out`
40×	`unpow-prod-down` `cube-prod`
26×	`swap-sqr`
24×	`flip3-+` `flip-+`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt` `frac-times`
12×	`add-cube-cbrt` `associate-r` `associate-l`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sum-cubes` `log1p-expm1-u`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `times-frac` `fma-neg` `diff-log` `prod-diff` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l`

Counts

4 → 162

Calls

4 calls:

4.0ms	(- (* b b) (* a b))
38.0ms	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
25.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
13.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* b b) (* a b))
53.0ms	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
61.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
52.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

simplify141.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	734	2245
1	4461	1779
2	5001	1757

prune314.0ms

Filtered

174 candidates to 99 candidates (56.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	174	3	177

Merged error: 0b

Counts

177 → 3

regimes55.0ms

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

sample319.0ms

Algorithm

intervals

Results

107.0ms	8000×	pre	80	true
93.0ms	8000×	body	80	valid