Details

Time bar (total: 7.5s)

sample63.0ms

Algorithm
intervals
Results
47.0ms107×body10240exit
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
178
done78

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
4.0ms
(+ (exp a) (exp b))
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

series53.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
35.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify1.0s

Counts
51 → 51
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
078616
1175587
2445548
3889546
42075546
done5000546

prune109.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.0b
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.5b
(/ (+ (exp a) (exp b)) (exp a))

rewrite36.0ms

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:
4.0ms
(+ (exp a) (exp b))
12.0ms
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
13.0ms
(/ (+ (exp a) (exp b)) (exp a))

series83.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (exp a) (exp b))
36.0ms
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
29.0ms
(/ (+ (exp a) (exp b)) (exp a))

simplify2.2s

Counts
142 → 142
Iterations

Useful iterations: 3 (706.0ms)

IterNodesCost
01772317
14152074
213251818
328651785
done50011785

prune210.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (+ (exp a) (exp b)))
0.4b
(/ 1 (sqrt (+ (exp a) (exp b))))
0.5b
(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))
0.5b
(/ (sqrt (+ (exp a) (exp b))) (exp a))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
1851×times-frac
1135×*-un-lft-identity
794×add-sqr-sqrt
793×add-cube-cbrt
684×sqrt-prod
171×distribute-lft-out
58×sqrt-div
57×div-inv
55×associate-/r/
37×associate-/l*
35×associate-/r*
29×flip3-+ flip-+
27×add-exp-log
20×add-cbrt-cube
19×div-exp
10×cbrt-undiv
7×pow1
4×add-log-exp
3×rec-exp pow-flip frac-2neg 1-exp clear-num associate-/l/
2×sqrt-pow1 pow1/2
1×rem-sqrt-square inv-pow
Counts
4 → 863
Calls
4 calls:
6.0ms
(sqrt (+ (exp a) (exp b)))
9.0ms
(/ 1 (sqrt (+ (exp a) (exp b))))
44.0ms
(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))
12.0ms
(/ (sqrt (+ (exp a) (exp b))) (exp a))

series177.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(sqrt (+ (exp a) (exp b)))
44.0ms
(/ 1 (sqrt (+ (exp a) (exp b))))
36.0ms
(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))
57.0ms
(/ (sqrt (+ (exp a) (exp b))) (exp a))

simplify723.0ms

Counts
875 → 875
Iterations

Useful iterations: done (686.0ms)

IterNodesCost
083132257
1253627783
done500026467

prune903.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.4b

regimes61.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11110
done1110

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s3508×body10240exit
192.0ms8000×body80valid