Details

Time bar (total: 4.0s)

sample64.0ms

Algorithm
intervals
Results
46.0ms123×body10240exit
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:
13.0ms
(+ (exp a) (exp b))
20.0ms
(/ (exp a) (+ (exp a) (exp b)))

series46.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (exp a) (exp b))
29.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify90.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0163384
1486357
21239355
34158355
45001355

prune191.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp a))
0.0b
(cbrt (exp a))
0.0b
(cbrt (exp a))
0.0b
(* (cbrt (exp a)) (cbrt (exp a)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt (exp a))
2.0ms
(cbrt (exp a))
2.0ms
(cbrt (exp a))
15.0ms
(* (cbrt (exp a)) (cbrt (exp a)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(cbrt (exp a))
76.0ms
(cbrt (exp a))
74.0ms
(cbrt (exp a))
88.0ms
(* (cbrt (exp a)) (cbrt (exp a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0112437
1370400
21738367
35001340

prune375.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp a) (exp b)))
0.0b
(sqrt (+ (exp a) (exp b)))
0.0b
(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))
0.4b
(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
30×add-sqr-sqrt
28×sqrt-div
21×pow1
16×add-cube-cbrt
14×flip3-+ flip-+
11×swap-sqr add-cbrt-cube
10×sqrt-pow1 pow1/2
9×add-exp-log
8×frac-times associate-/r/ distribute-lft-out
7×associate-*r* associate-*l*
5×pow-prod-up
4×associate-*r/ associate-*l/ add-log-exp unswap-sqr
3×times-frac pow-prod-down pow-sqr associate-/l*
2×cbrt-undiv rem-sqrt-square div-exp prod-exp cbrt-unprod
1×pow2 frac-2neg pow-plus sqrt-unprod clear-num associate-/r* rem-square-sqrt *-commutative div-inv
Counts
4 → 123
Calls
4 calls:
14.0ms
(sqrt (+ (exp a) (exp b)))
14.0ms
(sqrt (+ (exp a) (exp b)))
32.0ms
(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))
69.0ms
(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (+ (exp a) (exp b)))
32.0ms
(sqrt (+ (exp a) (exp b)))
29.0ms
(/ (exp a) (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))))
20.0ms
(* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b))))

simplify42.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
02701146
11088997
25002976

prune533.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
175

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s3544×body10240exit
241.0ms8000×body80valid