Details

Time bar (total: 3.3s)

sample51.0ms

Algorithm
intervals
Results
35.0ms103×body10240exit
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.5b

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
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ div-exp associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg clear-num sum-log div-inv
Counts
2 → 53
Calls
2 calls:
4.0ms
(+ (exp a) (exp b))
8.0ms
(/ (exp a) (+ (exp a) (exp b)))

series58.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (exp a) (exp b))
38.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify114.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0171409
1526381
21300379
33877378
45001378

prune106.0ms

Filtered
59 candidates to 44 candidates (74.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New56359
Fresh000
Picked101
Done000
Total57360

Merged error: 0.5b

Counts
60 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
1.3b
(- a (log (+ (exp a) (exp b))))
3.2b
(log (+ (exp a) (exp b)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
28×add-sqr-sqrt
24×add-cube-cbrt prod-diff
16×exp-sum
13×pow1 add-log-exp
12×log-prod
9×log-pow
8×associate--r+
6×log-div exp-prod
5×add-exp-log exp-diff
4×expm1-log1p-u flip3-+ diff-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out distribute-lft-out-- associate--r-
3×fma-def fma-neg rem-exp-log
2×sub-neg difference-of-squares
1×+-commutative flip3-- rem-log-exp sum-log flip--
Counts
4 → 112
Calls
4 calls:
9.0ms
(exp (- a (log (+ (exp a) (exp b)))))
7.0ms
(+ (exp a) (exp b))
8.0ms
(- a (log (+ (exp a) (exp b))))
5.0ms
(log (+ (exp a) (exp b)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(exp (- a (log (+ (exp a) (exp b)))))
24.0ms
(+ (exp a) (exp b))
34.0ms
(- a (log (+ (exp a) (exp b))))
36.0ms
(log (+ (exp a) (exp b)))

simplify112.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
03151374
1803989
22954822
35001722

prune213.0ms

Filtered
124 candidates to 74 candidates (59.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh022
Picked011
Done000
Total1243127

Merged error: 0.5b

Counts
127 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (exp a))
0.2b
(cbrt (exp a))
0.2b
(cbrt (exp a))
0.5b
(/ (exp a) (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
7×add-exp-log
6×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×div-exp
1×cbrt-undiv frac-2neg clear-num div-inv
Counts
4 → 69
Calls
4 calls:
2.0ms
(cbrt (exp a))
2.0ms
(cbrt (exp a))
2.0ms
(cbrt (exp a))
5.0ms
(/ (exp a) (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (exp a))
83.0ms
(cbrt (exp a))
82.0ms
(cbrt (exp a))
118.0ms
(/ (exp a) (fma (* (cbrt (exp a)) (cbrt (exp a))) (cbrt (exp a)) (exp b)))

simplify72.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0156741
1440677
21717650
35001606

prune184.0ms

Filtered
81 candidates to 65 candidates (80.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done011
Total81384

Merged error: 0.5b

Counts
84 → 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 (2.0ms)

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

regimes68.0ms

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

sample1.7s

Algorithm
intervals
Results
1.3s3460×body10240exit
196.0ms8000×body80valid