Details

Time bar (total: 3.6s)

sample47.0ms

Algorithm
intervals
Results
31.0ms103×body10240exit
5.0ms256×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: 0.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.8b
(/ (exp a) (+ (exp a) (exp b)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
10.0ms
(+ (exp a) (exp b))
21.0ms
(/ (exp a) (+ (exp a) (exp b)))

series54.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (exp a) (exp b))
33.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify92.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0171405
1513376
21324374
34489373
45001373

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
1.0b
(- a (log (+ (exp a) (exp b))))
2.4b
(log (+ (exp a) (exp b)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
24×prod-diff
23×add-cube-cbrt
16×exp-sum
13×pow1
9×log-pow add-log-exp
8×log-prod
6×log-div exp-prod
5×add-exp-log
4×expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u associate--r+ distribute-lft-out-- associate--r-
3×fma-def fma-neg 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 → 106
Calls
4 calls:
10.0ms
(+ (exp a) (exp b))
19.0ms
(exp (- a (log (+ (exp a) (exp b)))))
16.0ms
(- a (log (+ (exp a) (exp b))))
8.0ms
(log (+ (exp a) (exp b)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (exp a) (exp b))
47.0ms
(exp (- a (log (+ (exp a) (exp b)))))
38.0ms
(- a (log (+ (exp a) (exp b))))
34.0ms
(log (+ (exp a) (exp b)))

simplify83.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
03081330
1791946
22960789
35001691

prune221.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

1.1b
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
2.4b
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
4.9b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
7.3b
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
17×add-sqr-sqrt
16×associate-+l+
15×pow1 add-cube-cbrt log-prod
13×prod-diff
11×log-pow distribute-lft-out
8×log-div add-log-exp
6×add-exp-log fma-def distribute-lft-out--
5×flip3-+ flip-+
4×expm1-log1p-u unpow-prod-down cube-prod add-cbrt-cube log1p-expm1-u
3×associate-+r+
2×associate-+r- sub-neg diff-log rem-log-exp sum-log associate--r-
1×+-commutative associate-+l- flip3-- distribute-rgt-out-- fma-neg sum-cubes flip-- difference-of-squares
Counts
4 → 103
Calls
4 calls:
81.0ms
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
21.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
18.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
42.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
62.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
43.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
98.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04652010
117791678
250011669

prune418.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

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

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s3454×body10240exit
183.0ms8000×body80valid