Details

Time bar (total: 3.0s)

sample53.0ms

Algorithm
intervals
Results
34.0ms87×body10240exit
9.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
075
175

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.2b
(/ (exp a) (+ (exp a) (exp b)))

rewrite14.0ms

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))
8.0ms
(/ (exp a) (+ (exp a) (exp b)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
32.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify99.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0163384
1486357
21239355
34158355
45001355

prune106.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(- a (log (+ (exp a) (exp b))))
2.7b
(log (+ (exp a) (exp b)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×log-prod
7×add-sqr-sqrt
6×add-log-exp
5×pow1 add-cube-cbrt
4×add-exp-log log-div associate--r+
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×log-pow distribute-lft-out-- associate--r-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log flip-- difference-of-squares
Counts
3 → 48
Calls
3 calls:
4.0ms
(+ (exp a) (exp b))
6.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series83.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (exp a) (exp b))
31.0ms
(- a (log (+ (exp a) (exp b))))
35.0ms
(log (+ (exp a) (exp b)))

simplify64.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0178383
1403359
2765354
32150350
45001350

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.2b
(log (/ (exp a) (+ (exp a) (exp b))))
1.2b
(/ (exp a) (+ (exp a) (exp b)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×log-prod
8×distribute-lft-out
6×add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1 associate-/r* associate-/r/
3×flip3-+ flip-+ associate-/l*
2×div-exp rem-log-exp div-inv
1×cbrt-undiv +-commutative log-div frac-2neg clear-num sum-log log-pow
Counts
3 → 74
Calls
3 calls:
6.0ms
(+ (exp a) (exp b))
5.0ms
(log (/ (exp a) (+ (exp a) (exp b))))
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

series109.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (exp a) (exp b))
46.0ms
(log (/ (exp a) (+ (exp a) (exp b))))
45.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify48.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0242724
1693675
21726653
35001651

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×exp-prod rem-exp-log
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity diff-log exp-sum
1×pow1 add-exp-log sub-neg exp-diff sum-log add-cbrt-cube
Counts
1 → 16
Calls
1 calls:
18.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

simplify120.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
072135
1181118
2711111
34377106
45001106

prune43.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes79.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
197

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s3291×body10240exit
195.0ms8000×body80valid