Details

Time bar (total: 2.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms108×body80overflowed

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube associate-/l*
2×add-exp-log associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
7.0ms
(/ (exp a) (+ (exp a) (exp b)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify85.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0143319
1446298
21221297
34142296
45001296

prune79.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New35338
Fresh000
Picked101
Done000
Total36339

Merged error: 0.5b

Counts
39 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
1.0b
(- a (log (+ (exp a) (exp b))))
4.5b
(log (+ (exp a) (exp b)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
25×add-sqr-sqrt
24×prod-diff
21×add-cube-cbrt
16×exp-sum
12×pow1
9×log-pow
8×log-prod
6×log-div exp-prod add-log-exp
4×add-exp-log associate--r+ distribute-lft-out-- associate--r-
3×expm1-log1p-u flip3-+ fma-neg add-cbrt-cube flip-+ log1p-expm1-u
2×sub-neg diff-log rem-exp-log distribute-lft-out difference-of-squares
1×flip3-- exp-diff rem-log-exp flip--
Counts
3 → 89
Calls
3 calls:
6.0ms
(exp (- a (log (+ (exp a) (exp b)))))
8.0ms
(- a (log (+ (exp a) (exp b))))
8.0ms
(log (+ (exp a) (exp b)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(exp (- a (log (+ (exp a) (exp b)))))
31.0ms
(- a (log (+ (exp a) (exp b))))
31.0ms
(log (+ (exp a) (exp b)))

simplify74.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
02811244
1687868
22599712
35002580

prune144.0ms

Filtered
98 candidates to 53 candidates (54.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New98098
Fresh022
Picked011
Done000
Total983101

Merged error: 0.5b

Counts
101 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (exp a) (exp b))
0.8b
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
1.0b
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
2.9b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
55×times-frac
41×add-sqr-sqrt
36×associate-*l*
35×distribute-lft-out
34×add-cube-cbrt
28×unpow-prod-down cube-prod
13×add-cbrt-cube
9×add-exp-log associate-/r*
8×pow1
7×sum-cubes
6×associate-*r* add-log-exp
4×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
3×prod-exp cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv frac-times exp-prod associate-*r/ div-exp pow-prod-down *-commutative div-inv
1×distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in fma-neg diff-log prod-diff associate-*l/ clear-num pow-prod-up flip--
Counts
4 → 153
Calls
4 calls:
7.0ms
(* (exp a) (exp b))
14.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
31.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
7.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series259.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (exp a) (exp b))
61.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
137.0ms
(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
44.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify102.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06842183
138431943
250011937

prune381.0ms

Filtered
165 candidates to 111 candidates (67.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done011
Total1653168

Merged error: 0.5b

Counts
168 → 3

localize8.0ms

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)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0.5b

Counts
3 → 3

regimes61.0ms

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

sample486.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid
88.0ms3439×body80overflowed

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