Details

Time bar (total: 1.7s)

sample19.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
4.0ms256×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

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))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (+ a b) (+ a b))

simplify34.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0189213
1902188
25001170

prune42.0ms

Filtered
43 candidates to 19 candidates (55.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow (+ a b) 6)
0.6b
(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×add-cbrt-cube distribute-lft-out add-log-exp sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp
Counts
2 → 34
Calls
2 calls:
4.0ms
(pow (+ a b) 6)
4.0ms
(cbrt (pow (+ a b) 6))

series21.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(pow (+ a b) 6)
4.0ms
(cbrt (pow (+ a b) 6))

simplify137.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0159206
1592184
23169179
35002161

prune49.0ms

Filtered
40 candidates to 23 candidates (42.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh022
Picked011
Done011
Total40444

Merged error: 0b

Counts
44 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
46×distribute-lft-out
40×unpow-prod-down cube-prod
25×flip3-+ flip-+
23×swap-sqr
20×add-exp-log add-cbrt-cube
16×frac-times
14×add-sqr-sqrt
13×pow1
12×associate-*r* associate-*l*
10×add-cube-cbrt
8×associate-*r/ associate-*l/ associate-/r/ associate-/l/
6×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv distribute-rgt-in associate-+l+ distribute-lft-in div-exp sum-cubes
2×sub-neg pow-prod-down *-commutative unswap-sqr
1×+-commutative pow2 frac-2neg times-frac pow-plus clear-num associate-/r* sum-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 147
Calls
4 calls:
8.0ms
(+ (* b (- b a)) (pow a 2))
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)))
13.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* b (- b a)) (pow a 2))
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)))))
11.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
12.0ms
(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

simplify135.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
07352051
144571691
250011620

prune329.0ms

Filtered
159 candidates to 92 candidates (42.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh011
Picked011
Done022
Total1594163

Merged error: 0b

Counts
163 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (+ a b))
0.9b
(exp (* 2 (log (+ a b))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×*-un-lft-identity
8×exp-sum
5×add-sqr-sqrt add-cube-cbrt
4×distribute-rgt-in distribute-lft-in add-log-exp
3×pow1 add-exp-log distribute-lft-out
2×log-div add-cbrt-cube
1×exp-prod exp-to-pow flip3-+ rem-log-exp log-pow flip-+ rem-exp-log
Counts
2 → 33
Calls
2 calls:
3.0ms
(log (+ a b))
4.0ms
(exp (* 2 (log (+ a b))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(log (+ a b))
6.0ms
(exp (* 2 (log (+ a b))))

simplify37.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0156183
1369151
21233134
35001132

prune31.0ms

Filtered
39 candidates to 22 candidates (43.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New39039
Fresh000
Picked011
Done033
Total39443

Merged error: 0b

Counts
43 → 4

regimes160.0ms

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

sample490.0ms

Algorithm
intervals
Results
171.0ms8000×pre80true
124.0ms8000×body80valid

Profiling

Loading profile data...