Details

Time bar (total: 1.5s)

analyze83.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms14×body80overflowed

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.0b
(/ (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))
6.0ms
(/ (exp a) (+ (exp a) (exp b)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (exp a) (exp b))
12.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify95.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0163384
1486357
21209355
34128355
45002355

prune52.0ms

Filtered
37 candidates to 51 candidates (-37.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352

Merged error: 0.7b

Counts
52 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
1.0b
(- a (log (+ (exp a) (exp b))))
3.4b
(log (+ (exp a) (exp b)))

rewrite21.0ms

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:
5.0ms
(exp (- a (log (+ (exp a) (exp b)))))
4.0ms
(+ (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:
11.0ms
(exp (- a (log (+ (exp a) (exp b)))))
5.0ms
(+ (exp a) (exp b))
8.0ms
(- a (log (+ (exp a) (exp b))))
9.0ms
(log (+ (exp a) (exp b)))

simplify91.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (84.0ms)

IterNodesCost
0233551
1545511
21232496
34120490
45001488

prune78.0ms

Filtered
55 candidates to 80 candidates (-45.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh022
Picked011
Done000
Total80383

Merged error: 0.7b

Counts
83 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.4b
(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
1.0b
(/ (exp a) (+ (exp a) (exp b)))
1.0b
(/ (exp a) (+ (exp a) (exp b)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
98×sqrt-prod
90×add-sqr-sqrt times-frac
62×add-cube-cbrt
29×swap-sqr
27×distribute-lft-out
21×associate-*r* associate-*l*
19×pow1
12×associate-/r/
10×add-cbrt-cube
9×unswap-sqr
8×add-exp-log sqrt-pow1 pow1/2 associate-/r*
7×flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr
2×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 186
Calls
4 calls:
4.0ms
(+ (exp a) (exp b))
22.0ms
(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (exp a) (exp b))
11.0ms
(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
15.0ms
(/ (exp a) (+ (exp a) (exp b)))
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify61.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03261942
115161807
250011781

prune148.0ms

Filtered
118 candidates to 198 candidates (-67.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1980198
Fresh011
Picked011
Done011
Total1983201

Merged error: 0.7b

Counts
201 → 3

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0.7b

Counts
3 → 3

regimes180.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

analyze79.0ms

Algorithm
search

sample382.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
16.0ms674×body80overflowed

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