Details

Time bar (total: 12.4s)

sample101.0ms

Algorithm
intervals
Results
75.0ms105×body10240exit
12.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
20.0ms
(+ (exp a) (exp b))
40.0ms
(/ (exp a) (+ (exp a) (exp b)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (exp a) (exp b))
55.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify2.7s

Counts
51 → 51
Iterations

Useful iterations: 3 (270.0ms)

IterNodesCost
078616
1164587
2382548
3730546
41872546
done5000546

prune224.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.1b
(- a (log (+ (exp a) (exp b))))
2.6b
(log (+ (exp a) (exp b)))

rewrite88.0ms

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:
18.0ms
(+ (exp a) (exp b))
35.0ms
(exp (- a (log (+ (exp a) (exp b)))))
19.0ms
(- a (log (+ (exp a) (exp b))))
12.0ms
(log (+ (exp a) (exp b)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (exp a) (exp b))
96.0ms
(exp (- a (log (+ (exp a) (exp b)))))
57.0ms
(- a (log (+ (exp a) (exp b))))
50.0ms
(log (+ (exp a) (exp b)))

simplify2.1s

Counts
80 → 80
Iterations

Useful iterations: 3 (346.0ms)

IterNodesCost
0107890
1234819
2480746
3936742
42100742
done5000742

prune266.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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

series87.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (exp b) (exp a))
57.0ms
(/ (exp a) (+ (exp b) (exp a)))

simplify2.2s

Counts
51 → 51
Iterations

Useful iterations: 3 (183.0ms)

IterNodesCost
076616
1164587
2383548
3737546
41893546
done5001546

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 1/2 (- a b)) (log 2))
0.1b
(exp (- (* 1/2 (- a b)) (log 2)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
8×associate--l+
6×sub-neg exp-sum
5×add-log-exp
4×distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in
3×log-prod exp-prod associate--r+
2×pow1 add-exp-log diff-log add-cbrt-cube rem-exp-log
1×flip3-- exp-diff flip--
Counts
2 → 38
Calls
2 calls:
15.0ms
(- (* 1/2 (- a b)) (log 2))
65.0ms
(exp (- (* 1/2 (- a b)) (log 2)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* 1/2 (- a b)) (log 2))
62.0ms
(exp (- (* 1/2 (- a b)) (log 2)))

simplify1.2s

Counts
44 → 44
Iterations

Useful iterations: done (1.2s)

IterNodesCost
072507
1163465
2360409
31189384
done5000380

prune115.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes40.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.0s3430×body10240exit
343.0ms8000×body80valid