Details

Time bar (total: 36.8s)

sample89.0ms

Algorithm
intervals
Results
67.0ms99×body10240exit
13.0ms256×body80valid

simplify4.0ms

Calls
1 calls:
Slowest
4.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (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×add-exp-log distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×fma-def associate-/l*
2×expm1-log1p-u pow1 flip3-+ div-exp associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-inv
Calls
2 calls:
Slowest
18.0ms
(/ (exp a) (+ (exp a) (exp b)))
16.0ms
(+ (exp a) (exp b))

series97.0ms

Calls
2 calls:
Slowest
65.0ms
(/ (exp a) (+ (exp a) (exp b)))
32.0ms
(+ (exp a) (exp b))

simplify1.1s

Calls
45 calls:
Slowest
371.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
136.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
121.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
63.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
25.0ms
(+ a (+ b 2))

prune551.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 3 expressions with local error:

3.9b
(log (+ (exp a) (exp b)))
1.4b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
12×prod-diff
8×pow1 log-prod add-log-exp
5×log-pow
4×log-div add-exp-log associate--r+
3×expm1-log1p-u fma-def flip3-+ add-cbrt-cube fma-neg flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
2×diff-log distribute-lft-out-- associate--r-
1×+-commutative sum-log sub-neg flip3-- rem-log-exp flip-- difference-of-squares
Calls
3 calls:
Slowest
24.0ms
(- a (log (+ (exp a) (exp b))))
16.0ms
(+ (exp a) (exp b))
13.0ms
(log (+ (exp a) (exp b)))

series153.0ms

Calls
3 calls:
Slowest
57.0ms
(log (+ (exp a) (exp b)))
56.0ms
(- a (log (+ (exp a) (exp b))))
39.0ms
(+ (exp a) (exp b))

simplify2.8s

Calls
58 calls:
Slowest
186.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
178.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
175.0ms
(fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))))))
174.0ms
(fma (- (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))
160.0ms
(fma (- (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b))))) (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))

prune987.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (exp a) (sqrt (+ (exp a) (exp b))))
0.5b
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(+ (exp a) (exp b))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
311×*-un-lft-identity
228×sqrt-prod
193×add-sqr-sqrt add-cube-cbrt
59×distribute-lft-out
33×associate-/l*
21×associate-/r*
20×sqrt-div associate-/r/
14×add-exp-log
13×associate-/l/
12×flip3-+ flip-+
11×add-cbrt-cube
10×div-inv
8×add-log-exp
7×div-exp
6×fma-def
4×expm1-log1p-u pow1 cbrt-undiv insert-posit16 log1p-expm1-u
3×clear-num frac-2neg
2×+-commutative sum-log
Calls
4 calls:
Slowest
79.0ms
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
34.0ms
(/ (exp a) (sqrt (+ (exp a) (exp b))))
17.0ms
(+ (exp a) (exp b))
16.0ms
(+ (exp a) (exp b))

series221.0ms

Calls
4 calls:
Slowest
105.0ms
(/ (exp a) (sqrt (+ (exp a) (exp b))))
49.0ms
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
34.0ms
(+ (exp a) (exp b))
34.0ms
(+ (exp a) (exp b))

simplify22.3s

Calls
505 calls:
Slowest
568.0ms
(/ (/ (* (* (exp a) (exp a)) (exp a)) (* (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))) (* (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b)))))
437.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b)))))
419.0ms
(/ (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (sqrt (+ (exp a) (exp b))))) (sqrt 1))
390.0ms
(/ (/ (exp a) (sqrt (+ (pow (exp a) 3) (pow (exp b) 3)))) (sqrt (sqrt (+ (exp a) (exp b)))))
375.0ms
(/ (/ (exp a) (sqrt (+ (pow (exp a) 3) (pow (exp b) 3)))) (sqrt (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))))

prune3.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Calls
0 calls:
Slowest

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.1s3532×body10240exit
886.0ms8000×body80valid