Details

Time bar (total: 1.7s)

sample19.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 99.993956%

Space saved by search: 99.993956%

Guaranteed chance to sample good point: 100%

Results
6.0ms256×pre80true
4.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
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:
12.0ms
(* (+ a b) (+ a b))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* (+ a b) (+ a b))

simplify36.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0189213
1902188
25001170

prune38.0ms

Filtered
19 candidates to 43 candidates (-126.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0b

Counts
44 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
0.3b
(* (- (* a a) (* b b)) (+ a b))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/l/
flip3-- flip--
add-cube-cbrt flip3-+ flip-+
times-frac associate-/r*
pow1 associate-*r/ associate-*r* associate-*l* associate-*l/
difference-of-squares
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out-- add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 65
Calls
2 calls:
12.0ms
(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
8.0ms
(* (- (* a a) (* b b)) (+ a b))

series19.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
9.0ms
(* (- (* a a) (* b b)) (+ a b))

simplify74.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0422648
12657575
25001575

prune74.0ms

Filtered
53 candidates to 71 candidates (-34.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done011
Total71374

Merged error: 0b

Counts
74 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* b (- b a))
0.3b
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
0.5b
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
0.5b
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
108×*-un-lft-identity
46×distribute-lft-out
40×unpow-prod-down cube-prod
24×flip3-+ flip-+
23×swap-sqr
22×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
17×associate-*r*
16×frac-times
15×pow1 associate-*l*
12×add-cube-cbrt
10×associate-*r/
associate-*l/ associate-/r/ associate-/l/
prod-exp cbrt-unprod
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp sum-cubes add-log-exp
pow-prod-down *-commutative unswap-sqr
sub-neg
pow2 flip3-- frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up flip-- div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 158
Calls
4 calls:
6.0ms
(* b (- b a))
38.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
25.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
14.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* b (- b a))
14.0ms
(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
12.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
13.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

simplify153.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
07832030
147001683
250021623

prune381.0ms

Filtered
98 candidates to 170 candidates (-73.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1700170
Fresh000
Picked011
Done022
Total1703173

Merged error: 0b

Counts
173 → 3

regimes148.0ms

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)

IterNodesCost
053
153

end0.0ms

sample493.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 99.993956%

Space saved by search: 99.993956%

Guaranteed chance to sample good point: 100%

Results
178.0ms8000×pre80true
124.0ms8000×body80valid

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