Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms108×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: 0.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (exp a) (+ (exp a) (exp b)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube associate-/l*
2×add-exp-log associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify89.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0139307
1427287
21160285
33893285
45002285

prune79.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New33336
Fresh000
Picked101
Done000
Total34337

Merged error: 0.5b

Counts
37 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
1.0b
(- a (log (+ (exp a) (exp b))))
4.5b
(log (+ (exp a) (exp b)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt
8×log-prod
6×pow1 add-cube-cbrt log-div exp-prod add-log-exp
4×add-exp-log exp-sum associate--r+ distribute-lft-out-- associate--r-
3×flip3-+ log-pow add-cbrt-cube flip-+
2×sub-neg diff-log rem-exp-log distribute-lft-out difference-of-squares
1×flip3-- exp-diff rem-log-exp flip--
Counts
3 → 56
Calls
3 calls:
5.0ms
(exp (- a (log (+ (exp a) (exp b)))))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(exp (- a (log (+ (exp a) (exp b)))))
33.0ms
(- a (log (+ (exp a) (exp b))))
37.0ms
(log (+ (exp a) (exp b)))

simplify82.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (76.0ms)

IterNodesCost
0208474
1445439
2977425
33244421
45001419

prune129.0ms

Filtered
65 candidates to 45 candidates (69.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New65065
Fresh022
Picked011
Done000
Total65368

Merged error: 0.5b

Counts
68 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (exp a) (exp b))
0.8b
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
1.0b
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
2.9b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
55×times-frac
41×add-sqr-sqrt
36×associate-*l*
35×distribute-lft-out
34×add-cube-cbrt
28×unpow-prod-down cube-prod
13×add-cbrt-cube
9×add-exp-log associate-/r*
8×pow1
7×sum-cubes
6×associate-*r* add-log-exp
4×flip3-+ associate-/r/ flip-+
3×prod-exp cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv frac-times exp-prod associate-*r/ div-exp pow-prod-down *-commutative div-inv
1×distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log associate-*l/ clear-num pow-prod-up flip--
Counts
4 → 143
Calls
4 calls:
9.0ms
(* (exp a) (exp b))
14.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
29.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
6.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (exp a) (exp b))
60.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
150.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
41.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify109.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
06542084
136321891
250021885

prune397.0ms

Filtered
155 candidates to 100 candidates (64.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1550155
Fresh011
Picked011
Done011
Total1553158

Merged error: 0.5b

Counts
158 → 3

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

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: 0.5b

Counts
3 → 3

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample505.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid
92.0ms3439×body80overflowed

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