Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	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))

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))

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (33.0ms)

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

prune43.0ms

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
4×	`associate-*r/`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

6.0ms	(* a (+ a b))
9.0ms	(* b (+ a b))

series49.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	201	182
1	1059	164
2	5002	162

prune63.0ms

Filtered

56 candidates to 36 candidates (64.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	56	3	59

Merged error: 0b

Counts

59 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (- (* b b) (* a b)))
0.4b	(/ (* (+ (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	(* (+ (* 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)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
46×	`distribute-lft-out`
40×	`unpow-prod-down` `cube-prod`
26×	`swap-sqr`
25×	`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`
9×	`add-log-exp`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sum-cubes` `log1p-expm1-u`
3×	`associate-+r+`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `times-frac` `diff-log` `prod-diff` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 164

Calls

4 calls:

9.0ms	(+ (* a a) (- (* 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)))))
13.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
27.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* a a) (- (* b b) (* a b)))
55.0ms	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b)))))
57.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
58.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))

simplify140.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	695	2307
1	4309	1819
2	5001	1801

prune320.0ms

Filtered

176 candidates to 101 candidates (57.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	176	3	179

Merged error: 0b

Counts

179 → 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	10	5
1	10	5

end0.0ms

sample380.0ms

Algorithm

intervals

Results

124.0ms	8000×	pre	80	true
115.0ms	8000×	body	80	valid