Details

Time bar (total: 6.2s)

sample137.0ms

Algorithm
intervals
Results
100.0ms131×body10240exit
14.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
1.0b
(/ (exp a) (+ (exp a) (exp b)))

rewrite41.0ms

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:
18.0ms
(+ (exp a) (exp b))
20.0ms
(/ (exp a) (+ (exp a) (exp b)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (exp a) (exp b))
66.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify83.0ms

Counts
51 → 51

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
1.3b
(- a (log (+ (exp a) (exp b))))
4.0b
(log (+ (exp a) (exp b)))

rewrite111.0ms

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:
37.0ms
(exp (- a (log (+ (exp a) (exp b)))))
20.0ms
(+ (exp a) (exp b))
27.0ms
(- a (log (+ (exp a) (exp b))))
24.0ms
(log (+ (exp a) (exp b)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(exp (- a (log (+ (exp a) (exp b)))))
38.0ms
(+ (exp a) (exp b))
45.0ms
(- a (log (+ (exp a) (exp b))))
51.0ms
(log (+ (exp a) (exp b)))

simplify76.0ms

Counts
80 → 80

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.9b
(/ (+ (exp a) (exp b)) (exp a))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
95×*-un-lft-identity
61×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×distribute-lft-out
12×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
3 → 133
Calls
3 calls:
22.0ms
(+ (exp a) (exp b))
49.0ms
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
34.0ms
(/ (+ (exp a) (exp b)) (exp a))

series145.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (exp a) (exp b))
67.0ms
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
47.0ms
(/ (+ (exp a) (exp b)) (exp a))

simplify40.0ms

Counts
142 → 142

prune497.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
8×add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-+l+ log-prod exp-prod rem-exp-log
2×pow1 add-exp-log diff-log exp-sum sum-log add-cbrt-cube
1×+-commutative sub-neg flip3-+ exp-diff flip-+
Counts
2 → 30
Calls
2 calls:
13.0ms
(+ (log 2) (* 1/2 b))
69.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

series355.0ms

Counts
2 → 6
Calls
2 calls:
272.0ms
(+ (log 2) (* 1/2 b))
83.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

simplify61.0ms

Counts
36 → 36

prune154.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes74.0ms

Accuracy

-67.8% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify31.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.6s3442×body10240exit
351.0ms8000×body80valid