Details

Time bar (total: 5.3s)

sample89.0ms

Algorithm
intervals
Results
60.0ms112×body10240exit
12.0ms256×body80valid

simplify1.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite50.0ms

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:
11.0ms
(+ (exp a) (exp b))
37.0ms
(/ (exp a) (+ (exp a) (exp b)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (exp a) (exp b))
38.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify54.0ms

Counts
51 → 51

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(- a (log (+ (exp a) (exp b))))
2.0b
(log (+ (exp a) (exp b)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×log-prod
7×add-sqr-sqrt
6×add-log-exp
5×pow1 add-cube-cbrt
4×add-exp-log log-div associate--r+
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×log-pow distribute-lft-out-- associate--r-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log flip-- difference-of-squares
Counts
3 → 48
Calls
3 calls:
18.0ms
(+ (exp a) (exp b))
25.0ms
(- a (log (+ (exp a) (exp b))))
15.0ms
(log (+ (exp a) (exp b)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (exp a) (exp b))
60.0ms
(- a (log (+ (exp a) (exp b))))
69.0ms
(log (+ (exp a) (exp b)))

simplify137.0ms

Counts
57 → 57

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.3b
(log (/ (exp a) (+ (exp a) (exp b))))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×log-prod
8×distribute-lft-out
6×add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1 associate-/r* associate-/r/
3×flip3-+ flip-+ associate-/l*
2×div-exp rem-log-exp div-inv
1×cbrt-undiv +-commutative log-div frac-2neg clear-num sum-log log-pow
Counts
3 → 74
Calls
3 calls:
17.0ms
(+ (exp a) (exp b))
23.0ms
(log (/ (exp a) (+ (exp a) (exp b))))
34.0ms
(/ (exp a) (+ (exp a) (exp b)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (exp a) (exp b))
71.0ms
(log (/ (exp a) (+ (exp a) (exp b))))
53.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify52.0ms

Counts
83 → 83

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (+ (* 1/4 (- a b)) 1/2))
1.1b
(exp (log (+ (* 1/4 (- a b)) 1/2)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
6×log-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 log-div exp-prod
3×add-exp-log exp-sum
2×flip3-+ exp-diff log-pow add-cbrt-cube flip-+ add-log-exp
1×rem-log-exp rem-exp-log
Counts
2 → 31
Calls
2 calls:
21.0ms
(log (+ (* 1/4 (- a b)) 1/2))
26.0ms
(exp (log (+ (* 1/4 (- a b)) 1/2)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(log (+ (* 1/4 (- a b)) 1/2))
41.0ms
(exp (log (+ (* 1/4 (- a b)) 1/2)))

simplify43.0ms

Counts
37 → 37

prune85.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes112.0ms

Accuracy

-249.8% (0.2b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify29.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.3s3481×body10240exit
395.0ms8000×body80valid