Details

Time bar (total: 8.4s)

sample131.0ms

Algorithm
intervals
Results
98.0ms116×body10240exit
18.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
06

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×fma-def add-exp-log associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 54
Calls
2 calls:
18.0ms
(+ (exp a) (exp b))
17.0ms
(/ (exp a) (+ (exp a) (exp b)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (exp a) (exp b))
42.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify714.0ms

Counts
60 → 60
Iterations
IterNodes
done2000
31039
2503
1186
084

prune265.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
1.1b
(- a (log (+ (exp a) (exp b))))
3.3b
(log (+ (exp a) (exp b)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
24×prod-diff
23×add-cube-cbrt
16×exp-sum
13×pow1
9×log-pow add-log-exp
8×log-prod
6×log-div exp-prod
5×add-exp-log
4×expm1-log1p-u flip3-+ add-cbrt-cube flip-+ insert-posit16 log1p-expm1-u associate--r+ distribute-lft-out-- associate--r-
3×fma-def fma-neg distribute-lft-out
2×sub-neg diff-log difference-of-squares rem-exp-log
1×+-commutative sum-log flip3-- exp-diff rem-log-exp flip--
Counts
4 → 110
Calls
4 calls:
14.0ms
(exp (- a (log (+ (exp a) (exp b)))))
10.0ms
(+ (exp a) (exp b))
14.0ms
(- a (log (+ (exp a) (exp b))))
7.0ms
(log (+ (exp a) (exp b)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(exp (- a (log (+ (exp a) (exp b)))))
20.0ms
(+ (exp a) (exp b))
48.0ms
(- a (log (+ (exp a) (exp b))))
60.0ms
(log (+ (exp a) (exp b)))

simplify676.0ms

Counts
122 → 122
Iterations
IterNodes
done2000
2820
1332
0153

prune520.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.7b
(fma (* (cbrt a) (cbrt a)) (cbrt a) (- (log (+ (exp a) (exp b)))))
3.3b
(log (+ (exp a) (exp b)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-prod
5×pow1 add-exp-log
4×expm1-log1p-u log-prod add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×log-div pow1/3
1×flip3-+ rem-log-exp log-pow flip-+ fma-udef distribute-lft-out
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
0.0ms
(fma (* (cbrt a) (cbrt a)) (cbrt a) (- (log (+ (exp a) (exp b)))))
7.0ms
(log (+ (exp a) (exp b)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt a)
221.0ms
(cbrt a)
169.0ms
(fma (* (cbrt a) (cbrt a)) (cbrt a) (- (log (+ (exp a) (exp b)))))
41.0ms
(log (+ (exp a) (exp b)))

simplify515.0ms

Counts
69 → 69
Iterations
IterNodes
done2000
3739
2316
1158
087

prune392.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes147.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.2s3345×body10240exit
495.0ms8000×body80valid