Details

Time bar (total: 2.9s)

sample71.0ms

Algorithm
intervals
Results
51.0ms135×body5120exit
7.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
178

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.7b
(/ (exp a) (+ (exp a) (exp b)))

rewrite11.0ms

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)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (exp a) (exp b))
10.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify52.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04964546
14964546

prune54.0ms

Filtered
36 candidates to 51 candidates (-41.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New46551
Fresh000
Picked101
Done000
Total47552

Merged error: 0.5b

Counts
52 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
1.1b
(- a (log (+ (exp a) (exp b))))
3.4b
(log (+ (exp a) (exp b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
11×add-sqr-sqrt
9×add-log-exp
8×log-prod
7×pow1 add-cube-cbrt
6×log-div exp-prod
5×add-exp-log
4×flip3-+ exp-sum add-cbrt-cube flip-+ associate--r+ distribute-lft-out-- associate--r-
3×log-pow distribute-lft-out
2×sub-neg diff-log rem-exp-log difference-of-squares
1×+-commutative flip3-- exp-diff rem-log-exp sum-log flip--
Counts
4 → 68
Calls
4 calls:
4.0ms
(+ (exp a) (exp b))
4.0ms
(exp (- a (log (+ (exp a) (exp b)))))
6.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (exp a) (exp b))
10.0ms
(exp (- a (log (+ (exp a) (exp b)))))
8.0ms
(- a (log (+ (exp a) (exp b))))
9.0ms
(log (+ (exp a) (exp b)))

simplify39.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05066750

prune81.0ms

Filtered
53 candidates to 80 candidates (-50.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New79180
Fresh134
Picked101
Done000
Total81485

Merged error: 0.5b

Counts
85 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(pow E (- a (log (+ (exp a) (exp b)))))
1.1b
(- a (log (+ (exp a) (exp b))))
3.4b
(log (+ (exp a) (exp b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt
8×pow1 add-cube-cbrt log-prod
7×add-log-exp
6×add-exp-log log-div pow-unpow
4×unpow-prod-up flip3-+ add-cbrt-cube flip-+ associate--r+ distribute-lft-out-- associate--r-
3×unpow-prod-down log-pow distribute-lft-out
2×sub-neg pow-exp difference-of-squares
1×+-commutative pow-to-exp e-exp-1 flip3-- pow-pow diff-log rem-log-exp sum-log flip-- pow-sub sqr-pow
Counts
4 → 74
Calls
4 calls:
4.0ms
(+ (exp a) (exp b))
4.0ms
(pow E (- a (log (+ (exp a) (exp b)))))
6.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (exp a) (exp b))
11.0ms
(pow E (- a (log (+ (exp a) (exp b)))))
11.0ms
(- a (log (+ (exp a) (exp b))))
9.0ms
(log (+ (exp a) (exp b)))

simplify38.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04961869
14961869

prune82.0ms

Filtered
56 candidates to 86 candidates (-53.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done000
Total86490

Merged error: 0.5b

Counts
90 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(pow (/ (exp a) (+ (exp a) (exp b))) 3)
0.4b
(cbrt (pow (/ (exp a) (+ (exp a) (exp b))) 3))
0.7b
(/ (exp a) (+ (exp a) (exp b)))

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 a) (exp b))
8.0ms
(pow (/ (exp a) (+ (exp a) (exp b))) 3)
9.0ms
(cbrt (pow (/ (exp a) (+ (exp a) (exp b))) 3))
6.0ms
(/ (exp a) (+ (exp a) (exp b)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (exp a) (exp b))
17.0ms
(pow (/ (exp a) (+ (exp a) (exp b))) 3)
10.0ms
(cbrt (pow (/ (exp a) (+ (exp a) (exp b))) 3))
10.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify35.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
052102178

prune119.0ms

Filtered
81 candidates to 165 candidates (-103.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1641165
Fresh022
Picked011
Done011
Total1645169

Merged error: 0.5b

Counts
169 → 5

regimes211.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s3441×body5120exit
218.0ms8000×body80valid

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