Details

Time bar (total: 3.4s)

sample69.0ms

Algorithm
intervals
Results
49.0ms118×body10240exit
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.0b
(/ (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))
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

series53.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
35.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify88.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0163384
1486357
21239355
34158355
45001355

prune105.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
1.0b
(- a (log (+ (exp a) (exp b))))
3.7b
(log (+ (exp a) (exp b)))

rewrite27.0ms

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:
11.0ms
(exp (- a (log (+ (exp a) (exp b)))))
4.0ms
(+ (exp a) (exp b))
6.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(exp (- a (log (+ (exp a) (exp b)))))
22.0ms
(+ (exp a) (exp b))
31.0ms
(- a (log (+ (exp a) (exp b))))
32.0ms
(log (+ (exp a) (exp b)))

simplify84.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (78.0ms)

IterNodesCost
0233551
1543509
21225495
34110491
45001489

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.0b
(/ (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))
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

series53.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (exp a) (exp b))
32.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify87.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0163384
1486357
21239355
34158355
45001355

prune104.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:
19.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

simplify124.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
072135
1181118
2711111
34377106
45001106

prune46.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes94.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s3518×body10240exit
339.0ms8000×body80valid