Details

Time bar (total: 1.7s)

analyze80.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
62.4%37.5%0.1%4
68.7%31.2%0.1%5
68.7%18.7%12.6%6
68.7%18.7%12.6%7
68.7%12.5%18.8%8
68.7%12.5%18.8%9
68.7%9.4%22%10
68.7%9.4%22%11
68.7%7.8%23.5%12
68.7%7.8%23.5%13
68.7%7%24.3%14

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms20×body80overflowed

simplify3.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(/ (exp a) (+ (exp a) (exp b)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify47.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04960432
14960432

prune40.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New33336
Fresh000
Picked101
Done000
Total34337

Merged error: 0b

Counts
37 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1 (exp (+ (neg a) b)))
0.0b
(/ 1 (+ 1 (exp (+ (neg a) b))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
6×add-exp-log
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×flip3-+ div-exp associate-/r/ flip-+
1×cbrt-undiv +-commutative rec-exp pow-flip frac-2neg 1-exp clear-num sum-log div-inv inv-pow
Counts
2 → 49
Calls
2 calls:
6.0ms
(+ 1 (exp (+ (neg a) b)))
8.0ms
(/ 1 (+ 1 (exp (+ (neg a) b))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ 1 (exp (+ (neg a) b)))
7.0ms
(/ 1 (+ 1 (exp (+ (neg a) b))))

simplify45.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05474551

prune56.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh022
Picked011
Done000
Total55358

Merged error: 0b

Counts
58 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
36×exp-prod times-frac
29×add-sqr-sqrt add-cube-cbrt
19×log-pow
10×distribute-lft-out
6×associate-/r/
5×add-cbrt-cube
4×pow1 add-exp-log associate-/r* add-log-exp
3×log-prod flip3-+ flip-+ div-inv associate-/l*
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num rem-exp-log
Counts
3 → 89
Calls
3 calls:
6.0ms
(exp (/ (exp a) (+ (exp a) (exp b))))
7.0ms
(log (exp (/ (exp a) (+ (exp a) (exp b)))))
6.0ms
(/ (exp a) (+ (exp a) (exp b)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(exp (/ (exp a) (+ (exp a) (exp b))))
11.0ms
(log (exp (/ (exp a) (+ (exp a) (exp b)))))
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify59.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
052071038

prune92.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh011
Picked011
Done011
Total983101

Merged error: 0b

Counts
101 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (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)))))
3.6b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite63.0ms

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 diff-log associate-*r/ div-exp prod-exp sum-log cbrt-unprod div-inv unswap-sqr
1×+-commutative distribute-rgt-in associate-+r- associate-+r+ flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 137
Calls
4 calls:
10.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
13.0ms
(/ (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)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
22.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
51.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
11.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify57.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049753042
149753042

prune199.0ms

Filtered
96 candidates to 149 candidates (-55.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh000
Picked011
Done022
Total1493152

Merged error: 0b

Counts
152 → 3

regimes246.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

analyze77.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
62.4%37.5%0.1%4
68.7%31.2%0.1%5
68.7%18.7%12.6%6
68.7%18.7%12.6%7
68.7%12.5%18.8%8
68.7%12.5%18.8%9
68.7%9.4%22%10
68.7%9.4%22%11
68.7%7.8%23.5%12
68.7%7.8%23.5%13
68.7%7%24.3%14

sample370.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
16.0ms700×body80overflowed

Profiling

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