Details

Time bar (total: 1.3s)

analyze2.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.993962%

Space saved by search: 99.993962%

Guaranteed chance to sample good point: 100%

sample15.0ms

Algorithm
intervals
Results
5.0ms256×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

prune2.0ms

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))

rewrite15.0ms

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:
13.0ms
(* (+ a b) (+ a b))

series4.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0189213
1902188
25001170

prune36.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a a) (- (* b b) (* a b)))
0.0b
(- (* b b) (* a b))
0.2b
(* (+ a b) (+ (pow a 3) (pow b 3)))
0.5b
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
14×flip3-+ flip-+
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt
9×associate-*r*
8×frac-times add-cube-cbrt associate-/l/
6×pow1 distribute-lft-out
4×unpow-prod-down cube-prod associate-*r/ associate-*l* associate-*l/
3×times-frac associate-/r*
2×cbrt-undiv sub-neg associate-+r+ diff-log div-exp prod-exp sum-log associate-/r/ cbrt-unprod
1×+-commutative distribute-rgt-in associate-+r- flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in pow-prod-down clear-num sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 94
Calls
4 calls:
6.0ms
(+ (* a a) (- (* b b) (* a b)))
3.0ms
(- (* b b) (* a b))
16.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))
20.0ms
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (* a a) (- (* b b) (* a b)))
5.0ms
(- (* b b) (* a b))
10.0ms
(* (+ a b) (+ (pow a 3) (pow b 3)))
13.0ms
(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

simplify92.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0521953
13046824
25002818

prune172.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done011
Total1064110

Merged error: 0b

Counts
110 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (+ a b))
0.8b
(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))))

series14.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(log (+ a b))
4.0ms
(exp (* 2 (log (+ a b))))

simplify42.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0156182
1373150
21234134
35001132

prune39.0ms

Filtered
23 candidates to 39 candidates (-69.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh101
Picked101
Done022
Total40343

Merged error: 0b

Counts
43 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (+ a b))
0.8b
(pow (exp 2) (log (+ a b)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
8×log-prod
7×add-sqr-sqrt add-cube-cbrt
5×pow1
4×unpow-prod-up unpow-prod-down log-div pow-unpow pow-pow
3×add-exp-log exp-prod
2×flip3-+ log-pow add-cbrt-cube flip-+ distribute-lft-out pow-sub add-log-exp
1×pow-to-exp rem-log-exp pow-exp exp-lft-sqr sqr-pow
Counts
2 → 43
Calls
2 calls:
3.0ms
(log (+ a b))
6.0ms
(pow (exp 2) (log (+ a b)))

series32.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(log (+ a b))
23.0ms
(pow (exp 2) (log (+ a b)))

simplify64.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0205283
1589251
21988233
35002207

prune57.0ms

Filtered
32 candidates to 49 candidates (-53.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done022
Total49352

Merged error: 0b

Counts
52 → 3

regimes141.0ms

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

analyze1.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.993962%

Space saved by search: 99.993962%

Guaranteed chance to sample good point: 100%

sample403.0ms

Algorithm
intervals
Results
164.0ms8000×pre80true
125.0ms8000×body80valid

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