Details

Time bar (total: 2.2s)

sample200.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.847656%

Results
8.0ms256×body80valid
4.0ms119×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: 1.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.0b
(/ (exp a) (+ (exp a) (exp b)))

rewrite11.0ms

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:
5.0ms
(+ (exp a) (exp b))
11.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify89.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0163384
1486357
21209355
34128355
45002355

prune60.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New46551
Fresh000
Picked101
Done000
Total47552

Merged error: 0.2b

Counts
52 → 5

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)))))
0.2b
(- a (log (+ (exp a) (exp b))))
1.8b
(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)))))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (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)))

simplify89.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (82.0ms)

IterNodesCost
0233551
1545511
21232496
34120490
45001488

prune84.0ms

Filtered
54 candidates to 80 candidates (-48.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done000
Total80585

Merged error: 0.2b

Counts
85 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(/ 1 (+ (exp a) (exp b)))
1.0b
(* (exp a) (/ 1 (+ (exp a) (exp b))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
28×add-sqr-sqrt
26×times-frac
21×add-cube-cbrt
18×associate-*r*
12×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r* associate-/r/
3×flip3-+ associate-*l* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 90
Calls
3 calls:
4.0ms
(+ (exp a) (exp b))
6.0ms
(/ 1 (+ (exp a) (exp b)))
12.0ms
(* (exp a) (/ 1 (+ (exp a) (exp b))))

series26.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (exp a) (exp b))
8.0ms
(/ 1 (+ (exp a) (exp b)))
12.0ms
(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify67.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0279671
11159590
23631550
35002549

prune72.0ms

Filtered
55 candidates to 99 candidates (-80.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done011
Total995104

Merged error: 0.2b

Counts
104 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (/ (exp a) (+ (exp a) (exp b))))
0.2b
(log (exp (/ (exp a) (+ (exp a) (exp b)))))
1.0b
(/ (exp a) (+ (exp a) (exp b)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
36×exp-prod times-frac
30×add-sqr-sqrt add-cube-cbrt
19×log-pow
11×distribute-lft-out
7×add-log-exp
6×associate-/r/ add-cbrt-cube
5×pow1 add-exp-log
4×flip3-+ associate-/r* flip-+
3×log-prod div-inv associate-/l*
1×cbrt-undiv +-commutative frac-2neg div-exp rem-log-exp clear-num sum-log rem-exp-log
Counts
4 → 101
Calls
4 calls:
4.0ms
(+ (exp a) (exp b))
7.0ms
(exp (/ (exp a) (+ (exp a) (exp b))))
7.0ms
(log (exp (/ (exp a) (+ (exp a) (exp b)))))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (exp a) (exp b))
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)))

simplify108.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0237834
1612771
21400764
34554762
45001762

prune102.0ms

Filtered
80 candidates to 113 candidates (-41.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1121113
Fresh112
Picked011
Done022
Total1135118

Merged error: 0.2b

Counts
118 → 5

regimes248.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample808.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.847656%

Results
251.0ms8000×body80valid
107.0ms3472×body80overflowed

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