Details

Time bar (total: 1.5s)

analyze83.0ms

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

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms25×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: 0.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite13.0ms

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:
5.0ms
(+ (exp a) (exp b))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (exp a) (exp b))
12.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify66.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04961546
14961546

prune56.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352

Merged error: 0.2b

Counts
52 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.5b
(- a (log (+ (exp a) (exp b))))
2.1b
(log (+ (exp a) (exp b)))

rewrite24.0ms

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-+ add-cbrt-cube flip-+ associate--r+ distribute-lft-out-- associate--r-
3×exp-sum 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 → 66
Calls
4 calls:
5.0ms
(+ (exp a) (exp b))
6.0ms
(exp (- a (log (+ (exp a) (exp b)))))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (exp a) (exp b))
12.0ms
(exp (- a (log (+ (exp a) (exp b)))))
11.0ms
(- a (log (+ (exp a) (exp b))))
10.0ms
(log (+ (exp a) (exp b)))

simplify64.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04898734
14898734

prune84.0ms

Filtered
54 candidates to 78 candidates (-44.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done000
Total78381

Merged error: 0.2b

Counts
81 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (exp a)) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))))
0.6b
(* (* (cbrt (exp a)) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))))
0.9b
(/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))
0.9b
(/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
176×times-frac
172×*-un-lft-identity
148×add-sqr-sqrt
120×add-cube-cbrt
108×sqrt-prod
102×cbrt-prod
96×associate-*r*
34×add-exp-log
26×distribute-lft-out
20×add-cbrt-cube
14×associate-/r*
12×prod-exp cbrt-unprod associate-/l*
11×pow1
10×unswap-sqr
8×cbrt-undiv sqrt-div div-exp associate-/r/
7×associate-*l*
4×flip3-+ associate-*r/ pow-prod-down flip-+ div-inv add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/
Counts
4 → 290
Calls
4 calls:
21.0ms
(* (cbrt (exp a)) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))))
28.0ms
(* (* (cbrt (exp a)) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))))
9.0ms
(/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))
8.0ms
(/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))

series89.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (exp a)) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))))
12.0ms
(* (* (cbrt (exp a)) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))))
22.0ms
(/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))
27.0ms
(/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b))))

simplify105.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049384963
149384963

prune210.0ms

Filtered
178 candidates to 302 candidates (-69.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3020302
Fresh011
Picked011
Done011
Total3023305

Merged error: 0.2b

Counts
305 → 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: 0.2b

Counts
3 → 3

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0199
1199

end0.0ms

sample377.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid
15.0ms649×body80overflowed

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