Details

Time bar (total: 3.5s)

sample59.0ms

Algorithm
intervals
Results
39.0ms108×body10240exit
8.0ms256×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: 1.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
9.0ms
(+ (exp a) (exp b))
19.0ms
(/ (exp a) (+ (exp a) (exp b)))

series53.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (exp a) (exp b))
35.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify92.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0163384
1486357
21239355
34158355
45001355

prune105.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

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))
0.2b
(- a (log (+ (exp a) (exp b))))
3.8b
(log (+ (exp a) (exp b)))

rewrite52.0ms

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:
17.0ms
(exp (- a (log (+ (exp a) (exp b)))))
9.0ms
(+ (exp a) (exp b))
15.0ms
(- a (log (+ (exp a) (exp b))))
8.0ms
(log (+ (exp a) (exp b)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(exp (- a (log (+ (exp a) (exp b)))))
17.0ms
(+ (exp a) (exp b))
34.0ms
(- a (log (+ (exp a) (exp b))))
31.0ms
(log (+ (exp a) (exp b)))

simplify88.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (83.0ms)

IterNodesCost
0233551
1543509
21225495
34110491
45001489

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
4.5b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
4.7b
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
8.7b
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
21×log-prod
13×associate--r+
10×pow1 distribute-lft-out
9×add-sqr-sqrt associate--l+ distribute-lft-out-- add-log-exp
8×unpow-prod-down cube-prod
7×add-cube-cbrt
6×add-exp-log log-div log-pow
4×diff-log add-cbrt-cube
3×sub-neg flip3-+ flip-+ associate--r-
2×flip3-- rem-log-exp sum-cubes flip--
1×distribute-rgt-out-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
41.0ms
(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
18.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
22.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
46.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
37.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
58.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
91.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03931391
113221245
250011206

prune327.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

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 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s3398×body10240exit
355.0ms8000×body80valid