Details

Time bar (total: 2.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms92×body80overflowed

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.2b
(/ (exp a) (+ (exp a) (exp b)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
4.0ms
(+ (exp a) (exp b))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series54.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
36.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify91.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0163384
1486357
21209355
34128355
45002355

prune86.0ms

Filtered
51 candidates to 37 candidates (72.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352

Merged error: 0.7b

Counts
52 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.5b
(- a (log (+ (exp a) (exp b))))
2.3b
(log (+ (exp a) (exp b)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×log-prod
7×add-sqr-sqrt
6×add-log-exp
5×pow1 add-cube-cbrt
4×add-exp-log log-div associate--r+
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×log-pow distribute-lft-out-- associate--r-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log flip-- difference-of-squares
Counts
3 → 48
Calls
3 calls:
4.0ms
(+ (exp a) (exp b))
7.0ms
(- a (log (+ (exp a) (exp b))))
8.0ms
(log (+ (exp a) (exp b)))

series89.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (exp a) (exp b))
32.0ms
(- a (log (+ (exp a) (exp b))))
33.0ms
(log (+ (exp a) (exp b)))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (21.0ms)

IterNodesCost
0178383
1403359
2765354
32150350
45001350

prune110.0ms

Filtered
57 candidates to 41 candidates (71.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh022
Picked011
Done000
Total57360

Merged error: 0.7b

Counts
60 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp b) (exp a))
0.0b
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
0.3b
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
1.2b
(/ (exp a) (+ (exp b) (exp a)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
60×times-frac
47×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
17×distribute-lft-out
10×associate-/r/
9×add-cbrt-cube
7×add-exp-log
6×flip3-+ flip-+ add-log-exp
5×pow1 div-inv
4×associate-/r*
3×pow-unpow associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num sum-log rem-cbrt-cube
Counts
4 → 153
Calls
4 calls:
4.0ms
(+ (exp b) (exp a))
8.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
8.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
7.0ms
(/ (exp a) (+ (exp b) (exp a)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (exp b) (exp a))
49.0ms
(pow (/ (exp a) (+ (exp b) (exp a))) 3)
36.0ms
(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
32.0ms
(/ (exp a) (+ (exp b) (exp a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04331586
118791472
250011455

prune210.0ms

Filtered
165 candidates to 82 candidates (49.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1641165
Fresh101
Picked011
Done011
Total1653168

Merged error: 0.7b

Counts
168 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 3/16 a) 1/8)
0.0b
(- (+ (* 3/16 a) 1/8) (* 3/16 b))
0.7b
(cbrt (- (+ (* 3/16 a) 1/8) (* 3/16 b)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log cbrt-prod add-cbrt-cube
2×cbrt-div flip3-- diff-log sum-log flip--
1×+-commutative sub-neg flip3-+ pow1/3 associate--l+ flip-+
Counts
3 → 38
Calls
3 calls:
4.0ms
(+ (* 3/16 a) 1/8)
6.0ms
(- (+ (* 3/16 a) 1/8) (* 3/16 b))
5.0ms
(cbrt (- (+ (* 3/16 a) 1/8) (* 3/16 b)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* 3/16 a) 1/8)
20.0ms
(- (+ (* 3/16 a) 1/8) (* 3/16 b))
122.0ms
(cbrt (- (+ (* 3/16 a) 1/8) (* 3/16 b)))

simplify78.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0264347
1773326
22958307
35001307

prune108.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New44347
Fresh000
Picked101
Done022
Total45550

Merged error: 0.7b

Counts
50 → 5

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample485.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid
89.0ms3502×body80overflowed

Profiling

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