Details

Time bar (total: 11.5s)

sample115.0ms

Algorithm
intervals
Results
80.0ms112×body10240exit
13.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite35.0ms

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:
10.0ms
(+ (exp a) (exp b))
23.0ms
(/ (exp a) (+ (exp a) (exp b)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (exp a) (exp b))
72.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify2.4s

Counts
51 → 51
Iterations

Useful iterations: 3 (204.0ms)

IterNodesCost
078616
1164587
2382548
3730546
41872546
done5000546

prune170.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.5b
(- a (log (+ (exp a) (exp b))))
2.7b
(log (+ (exp a) (exp b)))

rewrite80.0ms

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) (exp b))
21.0ms
(exp (- a (log (+ (exp a) (exp b)))))
24.0ms
(- a (log (+ (exp a) (exp b))))
14.0ms
(log (+ (exp a) (exp b)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (exp a) (exp b))
74.0ms
(exp (- a (log (+ (exp a) (exp b)))))
44.0ms
(- a (log (+ (exp a) (exp b))))
54.0ms
(log (+ (exp a) (exp b)))

simplify2.2s

Counts
80 → 80
Iterations

Useful iterations: 3 (337.0ms)

IterNodesCost
0107890
1234819
2480746
3936742
42100742
done5000742

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- a (+ (log 2) (* 1/2 (+ a b))))
0.0b
(exp (- a (+ (log 2) (* 1/2 (+ a b)))))
0.0b
(+ (log 2) (* 1/2 (+ a b)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
9×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt exp-prod
4×diff-log
3×pow1 add-exp-log associate-+l+ log-prod sum-log add-cbrt-cube rem-exp-log
2×sub-neg associate-+r+ exp-sum distribute-lft-out-- difference-of-squares
1×+-commutative distribute-rgt-in flip3-- distribute-lft-in flip3-+ exp-diff flip-- flip-+ associate--r+
Counts
3 → 50
Calls
3 calls:
27.0ms
(- a (+ (log 2) (* 1/2 (+ a b))))
86.0ms
(exp (- a (+ (log 2) (* 1/2 (+ a b)))))
18.0ms
(+ (log 2) (* 1/2 (+ a b)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- a (+ (log 2) (* 1/2 (+ a b))))
80.0ms
(exp (- a (+ (log 2) (* 1/2 (+ a b)))))
46.0ms
(+ (log 2) (* 1/2 (+ a b)))

simplify2.0s

Counts
59 → 59
Iterations

Useful iterations: 3 (748.0ms)

IterNodesCost
089777
1226738
2684670
33113640
done5001640

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.9b

regimes82.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.4s3395×body10240exit
447.0ms8000×body80valid