Details

Time bar (total: 1.9s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample16.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01077
11077

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
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:
12.0ms
(* (+ a b) (+ a b))

series4.0ms

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

simplify26.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05530356

prune49.0ms

Filtered
22 candidates to 43 candidates (-95.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b)))
0.2b
(* (+ (pow a 3) (pow b 3)) (- a b))
0.3b
(* (+ (* a a) (* b (- b a))) (- a b))
0.3b
(/ (* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b))) (* (+ (* a a) (* b (- b a))) (- a b)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
68×frac-times
45×flip3-+ flip-+
34×add-exp-log associate-*r/ add-cbrt-cube
27×flip3-- flip--
26×associate-/l/
25×*-un-lft-identity
22×associate-*l/
17×add-sqr-sqrt
16×associate-*l*
14×prod-exp cbrt-unprod
13×pow1
11×associate-*r*
9×add-cube-cbrt
8×sub-neg associate-/r/
6×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp distribute-lft-out
5×pow-prod-down
4×unpow-prod-down cube-prod add-log-exp
3×*-commutative
2×distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv associate-/l*
Counts
4 → 174
Calls
4 calls:
22.0ms
(* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b)))
16.0ms
(* (+ (pow a 3) (pow b 3)) (- a b))
9.0ms
(* (+ (* a a) (* b (- b a))) (- a b))
29.0ms
(/ (* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b))) (* (+ (* a a) (* b (- b a))) (- a b)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b)))
10.0ms
(* (+ (pow a 3) (pow b 3)) (- a b))
10.0ms
(* (+ (* a a) (* b (- b a))) (- a b))
12.0ms
(/ (* (+ a b) (* (+ (pow a 3) (pow b 3)) (- a b))) (* (+ (* a a) (* b (- b a))) (- a b)))

simplify45.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
058104303

prune400.0ms

Filtered
151 candidates to 186 candidates (-23.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1860186
Fresh022
Picked011
Done011
Total1864190

Merged error: 0b

Counts
190 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (pow (sqrt (+ a b)) 3) (sqrt (+ a b)))
0.8b
(pow (sqrt (+ a b)) 3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
30×sqrt-prod
24×*-un-lft-identity
20×associate-*l*
18×unpow-prod-down cube-prod
14×add-cube-cbrt sqrt-div
12×unswap-sqr
8×add-exp-log cube-div
7×flip3-+ associate-*r* flip-+
5×pow1 add-cbrt-cube distribute-lft-out
4×frac-times sqr-pow
3×pow-unpow pow-pow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp add-log-exp
1×sqrt-pow1 pow-plus pow1/2 *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
2 → 97
Calls
2 calls:
13.0ms
(* (pow (sqrt (+ a b)) 3) (sqrt (+ a b)))
5.0ms
(pow (sqrt (+ a b)) 3)

series28.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (pow (sqrt (+ a b)) 3) (sqrt (+ a b)))
16.0ms
(pow (sqrt (+ a b)) 3)

simplify39.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04928910
14928910

prune89.0ms

Filtered
51 candidates to 103 candidates (-102.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done022
Total1034107

Merged error: 0b

Counts
107 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ a b))
1.1b
(pow (cbrt (+ a b)) 6)
1.1b
(pow (cbrt (+ a b)) 6)
1.1b
(pow (cbrt (+ a b)) 6)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
21×unpow-prod-down
16×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×pow-to-exp pow-exp sqr-pow
2×cbrt-div
1×flip3-+ flip-+
Counts
4 → 80
Calls
4 calls:
3.0ms
(cbrt (+ a b))
5.0ms
(pow (cbrt (+ a b)) 6)
5.0ms
(pow (cbrt (+ a b)) 6)
5.0ms
(pow (cbrt (+ a b)) 6)

series174.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ a b))
47.0ms
(pow (cbrt (+ a b)) 6)
49.0ms
(pow (cbrt (+ a b)) 6)
48.0ms
(pow (cbrt (+ a b)) 6)

simplify51.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04997600
14997600

prune144.0ms

Filtered
55 candidates to 92 candidates (-67.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done033
Total92496

Merged error: 0b

Counts
96 → 4

regimes162.0ms

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 (1.0ms)

IterNodesCost
0197
1197

end0.0ms

sample424.0ms

Algorithm
intervals
Results
164.0ms8000×pre80true
133.0ms8000×body80valid

Profiling

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