Details

Time bar (total: 1.6s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms100×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: 0.3b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.3b
(/ (exp a) (+ (exp a) (exp b)))

rewrite15.0ms

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:
7.0ms
(+ (exp a) (exp b))
6.0ms
(/ (exp a) (+ (exp a) (exp b)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (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

prune57.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh000
Picked101
Done000
Total48452

Merged error: 0b

Counts
52 → 4

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)))))
0.4b
(- a (log (+ (exp a) (exp b))))
2.8b
(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:
4.0ms
(+ (exp a) (exp b))
5.0ms
(exp (- a (log (+ (exp a) (exp b)))))
6.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (exp a) (exp b))
11.0ms
(exp (- a (log (+ (exp a) (exp b)))))
8.0ms
(- a (log (+ (exp a) (exp b))))
9.0ms
(log (+ (exp a) (exp b)))

simplify84.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (78.0ms)

IterNodesCost
0233551
1545511
21232496
34120490
45001488

prune79.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done000
Total80484

Merged error: 0b

Counts
84 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.2b
(/ (+ (exp a) (exp b)) (exp a))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
95×*-un-lft-identity
61×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×distribute-lft-out
12×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
3 → 133
Calls
3 calls:
4.0ms
(+ (exp a) (exp b))
9.0ms
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
7.0ms
(/ (+ (exp a) (exp b)) (exp a))

series28.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (exp a) (exp b))
13.0ms
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
10.0ms
(/ (+ (exp a) (exp b)) (exp a))

simplify44.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03991418
116661282
250011182

prune75.0ms

Filtered
70 candidates to 142 candidates (-102.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh022
Picked011
Done011
Total1424146

Merged error: 0b

Counts
146 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp a))
0.0b
(+ (exp a) (exp b))
0.3b
(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
0.3b
(/ (sqrt (exp a)) (+ (exp a) (exp b)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
57×add-sqr-sqrt
52×times-frac
40×add-cube-cbrt
38×sqrt-prod
30×associate-*r*
14×distribute-lft-out
11×add-exp-log add-cbrt-cube
7×pow1
6×associate-*l* associate-/l* add-log-exp unswap-sqr
4×sqrt-pow1 associate-/r* associate-/r/
3×exp-prod flip3-+ flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square frac-2neg pow1/2 associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 132
Calls
4 calls:
4.0ms
(sqrt (exp a))
4.0ms
(+ (exp a) (exp b))
15.0ms
(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
7.0ms
(/ (sqrt (exp a)) (+ (exp a) (exp b)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (exp a))
5.0ms
(+ (exp a) (exp b))
11.0ms
(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
15.0ms
(/ (sqrt (exp a)) (+ (exp a) (exp b)))

simplify47.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03401318
114411184
250011144

prune88.0ms

Filtered
88 candidates to 144 candidates (-63.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh011
Picked011
Done022
Total1444148

Merged error: 0b

Counts
148 → 4

regimes179.0ms

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

sample564.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid
92.0ms3579×body80overflowed

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