Details

Time bar (total: 1.6s)

analyze80.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms15×body80overflowed

simplify3.0ms

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: 0.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.8b
(/ (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:
6.0ms
(+ (exp a) (exp b))
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify91.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

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: 0.2b

Counts
52 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.2b
(- a (log (+ (exp a) (exp b))))
1.4b
(log (+ (exp a) (exp b)))

rewrite22.0ms

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))
5.0ms
(exp (- a (log (+ (exp a) (exp b)))))
7.0ms
(- 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
(exp (- a (log (+ (exp a) (exp b)))))
9.0ms
(- a (log (+ (exp a) (exp b))))
10.0ms
(log (+ (exp a) (exp b)))

simplify87.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (81.0ms)

IterNodesCost
0233551
1545511
21232496
34120490
45001488

prune77.0ms

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: 0.2b

Counts
83 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
0.3b
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
0.8b
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
2.9b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
55×times-frac
37×add-sqr-sqrt
35×distribute-lft-out
33×associate-*l*
32×add-cube-cbrt
28×unpow-prod-down cube-prod
11×add-cbrt-cube add-log-exp
9×add-exp-log associate-/r*
7×sum-cubes
6×pow1
5×flip3-+ flip-+
4×associate-/r/
3×associate-*r* associate-/l*
2×cbrt-undiv frac-times sub-neg associate-+r+ diff-log associate-*r/ div-exp prod-exp sum-log cbrt-unprod div-inv unswap-sqr
1×+-commutative distribute-rgt-in associate-+r- flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 139
Calls
4 calls:
11.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
28.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
14.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
6.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
51.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
23.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
11.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify90.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06342252
135242010
250021998

prune205.0ms

Filtered
97 candidates to 151 candidates (-55.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1510151
Fresh011
Picked011
Done011
Total1513154

Merged error: 0.2b

Counts
154 → 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: 0.2b

Counts
3 → 3

regimes138.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

analyze78.0ms

Algorithm
search

sample388.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
20.0ms694×body80overflowed

Profiling

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