Details

Time bar (total: 9.8s)

sample96.0ms

Algorithm
intervals
Results
66.0ms91×body10240exit
11.0ms256×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: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:
17.0ms
(+ (exp a) (exp b))
31.0ms
(/ (exp a) (+ (exp a) (exp b)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (exp a) (exp b))
75.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify1.6s

Counts
51 → 51
Iterations

Useful iterations: 3 (481.0ms)

IterNodesCost
078616
1176587
2595550
33568546
done5000546

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

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))))
3.5b
(log (+ (exp a) (exp b)))

rewrite73.0ms

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:
24.0ms
(exp (- a (log (+ (exp a) (exp b)))))
18.0ms
(+ (exp a) (exp b))
19.0ms
(- a (log (+ (exp a) (exp b))))
9.0ms
(log (+ (exp a) (exp b)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(exp (- a (log (+ (exp a) (exp b)))))
38.0ms
(+ (exp a) (exp b))
58.0ms
(- a (log (+ (exp a) (exp b))))
53.0ms
(log (+ (exp a) (exp b)))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: 3 (434.0ms)

IterNodesCost
0107890
1240819
2627746
32494742
done5001742

prune357.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize20.0ms

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)))

rewrite93.0ms

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:
26.0ms
(- (* 1/2 (- a b)) (log 2))
64.0ms
(exp (- (* 1/2 (- a b)) (log 2)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* 1/2 (- a b)) (log 2))
52.0ms
(exp (- (* 1/2 (- a b)) (log 2)))

simplify1.5s

Counts
44 → 44
Iterations

Useful iterations: done (1.5s)

IterNodesCost
072507
1166465
2509409
32347384
done5001380

prune150.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

localize7.0ms

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

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.2b

regimes137.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.9s3399×body10240exit
471.0ms8000×body80valid