Details

Time bar (total: 33.7s)

sample124.0ms

Algorithm
intervals
Results
94.0ms99×body10240exit
20.0ms256×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

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×add-exp-log distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ div-exp associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-inv
Calls
2 calls:
Slowest
36.0ms
(+ (exp a) (exp b))
29.0ms
(/ (exp a) (+ (exp a) (exp b)))

series95.0ms

Calls
2 calls:
Slowest
60.0ms
(/ (exp a) (+ (exp a) (exp b)))
34.0ms
(+ (exp a) (exp b))

simplify1.1s

Calls
43 calls:
Slowest
425.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
94.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
75.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
65.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
36.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune503.0ms

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))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×log-prod add-log-exp
7×add-sqr-sqrt
5×pow1 add-cube-cbrt
4×log-div add-exp-log associate--r+
3×flip3-+ add-cbrt-cube flip-+ insert-posit16 distribute-lft-out
2×diff-log log-pow distribute-lft-out-- associate--r-
1×+-commutative sum-log sub-neg flip3-- rem-log-exp flip-- difference-of-squares
Calls
3 calls:
Slowest
21.0ms
(- a (log (+ (exp a) (exp b))))
18.0ms
(log (+ (exp a) (exp b)))
11.0ms
(+ (exp a) (exp b))

series126.0ms

Calls
3 calls:
Slowest
46.0ms
(- a (log (+ (exp a) (exp b))))
45.0ms
(log (+ (exp a) (exp b)))
35.0ms
(+ (exp a) (exp b))

simplify776.0ms

Calls
30 calls:
Slowest
156.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
146.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
95.0ms
(- (* 1/2 a) (+ (* 1/2 b) (log 2)))
81.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
36.0ms
(/ (exp a) (exp (log (+ (exp a) (exp b)))))

prune683.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize16.0ms

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))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
309×*-un-lft-identity
228×sqrt-prod
191×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
4×pow1 cbrt-undiv insert-posit16
3×clear-num frac-2neg
2×+-commutative sum-log
Calls
4 calls:
Slowest
60.0ms
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
30.0ms
(/ (exp a) (sqrt (+ (exp a) (exp b))))
15.0ms
(+ (exp a) (exp b))
15.0ms
(+ (exp a) (exp b))

series215.0ms

Calls
4 calls:
Slowest
81.0ms
(/ (exp a) (sqrt (+ (exp a) (exp b))))
62.0ms
(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
36.0ms
(+ (exp a) (exp b))
36.0ms
(+ (exp a) (exp b))

simplify21.6s

Calls
501 calls:
Slowest
590.0ms
(/ (/ (exp a) (sqrt (- (* (exp a) (exp a)) (* (exp b) (exp b))))) 1)
501.0ms
(/ (/ (* (* (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)))))
486.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (sqrt (+ (exp a) (exp b))) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b)))))
414.0ms
(/ (/ (exp a) (sqrt (+ (pow (exp a) 3) (pow (exp b) 3)))) (sqrt 1))
363.0ms
(/ (/ (exp a) (sqrt (+ (pow (exp a) 3) (pow (exp b) 3)))) (* (cbrt (sqrt (+ (exp a) (exp b)))) (cbrt (sqrt (+ (exp a) (exp b))))))

prune3.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize8.0ms

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

regimes154.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample4.4s

Algorithm
intervals
Results
3.6s3532×body10240exit
568.0ms8000×body80valid