Details

Time bar (total: 4.2s)

sample57.0ms

Algorithm
intervals
Results
39.0ms106×body10240exit
8.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
075
175

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series49.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
31.0ms
(/ (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

prune104.0ms

Filtered
51 candidates to 37 candidates (72.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize9.0ms

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))))
3.1b
(log (+ (exp a) (exp b)))

rewrite23.0ms

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:
5.0ms
(exp (- a (log (+ (exp a) (exp b)))))
4.0ms
(+ (exp a) (exp b))
7.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(log (+ (exp a) (exp b)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(exp (- a (log (+ (exp a) (exp b)))))
18.0ms
(+ (exp a) (exp b))
31.0ms
(- a (log (+ (exp a) (exp b))))
37.0ms
(log (+ (exp a) (exp b)))

simplify90.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (84.0ms)

IterNodesCost
0233551
1543509
21225495
34110491
45001489

prune186.0ms

Filtered
80 candidates to 55 candidates (68.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.4b
(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
1.2b
(/ (exp a) (+ (exp a) (exp b)))
1.2b
(/ (exp a) (+ (exp a) (exp b)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
98×sqrt-prod
90×add-sqr-sqrt times-frac
62×add-cube-cbrt
29×swap-sqr
27×distribute-lft-out
21×associate-*r* associate-*l*
19×pow1
12×associate-/r/
10×add-cbrt-cube
9×unswap-sqr
8×add-exp-log sqrt-pow1 pow1/2 associate-/r*
7×flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr
2×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 186
Calls
4 calls:
4.0ms
(+ (exp a) (exp b))
26.0ms
(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))
10.0ms
(/ (exp a) (+ (exp a) (exp b)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (exp a) (exp b))
31.0ms
(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
35.0ms
(/ (exp a) (+ (exp a) (exp b)))
31.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify61.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03261942
115161807
250021781

prune414.0ms

Filtered
198 candidates to 118 candidates (59.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(sqrt (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))))
1.2b
(/ (exp a) (+ (exp a) (exp b)))
1.6b
(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))
1.6b
(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
201×sqrt-prod
148×*-un-lft-identity
142×times-frac
109×add-sqr-sqrt
100×add-cube-cbrt
24×distribute-lft-out
18×associate-/r*
15×associate-/l*
10×add-cbrt-cube
9×add-exp-log
8×associate-/r/
7×sqrt-div
5×pow1 rem-sqrt-square
4×flip3-+ flip-+ div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
2×sqrt-undiv
1×sqrt-pow1 pow1/2
Counts
4 → 236
Calls
4 calls:
11.0ms
(sqrt (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))))
7.0ms
(/ (exp a) (+ (exp a) (exp b)))
10.0ms
(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))
10.0ms
(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))))
31.0ms
(/ (exp a) (+ (exp a) (exp b)))
56.0ms
(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))
78.0ms
(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))

simplify52.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03753251
111593094
250012988

prune610.0ms

Filtered
248 candidates to 131 candidates (52.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s3431×body10240exit
203.0ms8000×body80valid