Details

Time bar (total: 18.7s)

sample100.0ms

Algorithm
intervals
Results
76.0ms111×body10240exit
14.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 2 expressions with local error:

1.5b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite22.0ms

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-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 47
Calls
2 calls:
Slowest
15.0ms
(/ (exp a) (+ (exp a) (exp b)))
7.0ms
(+ (exp a) (exp b))

series63.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
41.0ms
(/ (exp a) (+ (exp a) (exp b)))
21.0ms
(+ (exp a) (exp b))

simplify895.0ms

Counts
42 → 53
Calls
42 calls:
Slowest
290.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
133.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
70.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
65.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
27.0ms
(+ a (+ b 2))

prune547.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 4 expressions with local error:

2.9b
(log (+ (exp a) (exp b)))
0.7b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))

rewrite67.0ms

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-+ add-cbrt-cube exp-sum flip-+ insert-posit16 associate--r+ distribute-lft-out-- associate--r-
3×log-pow 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 → 72
Calls
4 calls:
Slowest
21.0ms
(- a (log (+ (exp a) (exp b))))
17.0ms
(exp (- a (log (+ (exp a) (exp b)))))
15.0ms
(+ (exp a) (exp b))
13.0ms
(log (+ (exp a) (exp b)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
55.0ms
(exp (- a (log (+ (exp a) (exp b)))))
34.0ms
(log (+ (exp a) (exp b)))
34.0ms
(- a (log (+ (exp a) (exp b))))
26.0ms
(+ (exp a) (exp b))

simplify1.7s

Counts
45 → 84
Calls
45 calls:
Slowest
365.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
224.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
203.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
148.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
133.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize67.0ms

Local error

Found 4 expressions with local error:

6.9b
(log (- (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b)))))
4.8b
(- (exp a) (exp b))
2.7b
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
1.0b
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (- (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b))))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
15×log-prod
11×pow1 distribute-lft-out
9×add-sqr-sqrt
8×log-div add-log-exp
7×log-pow add-cube-cbrt
6×add-exp-log
5×distribute-lft-out--
4×associate-+l+ unpow-prod-down add-cbrt-cube cube-prod insert-posit16
3×associate-+r+ flip3-+ flip3-- flip-+ flip--
2×associate-+r- sum-log sub-neg diff-log rem-log-exp associate--r-
1×+-commutative sum-cubes associate-+l- difference-of-squares
Counts
4 → 80
Calls
4 calls:
Slowest
56.0ms
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (- (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b))))))
36.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b)))))
18.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
16.0ms
(- (exp a) (exp b))

series400.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
171.0ms
(+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (- (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b))))))
125.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b)))))
73.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
31.0ms
(- (exp a) (exp b))

simplify7.4s

Counts
49 → 92
Calls
49 calls:
Slowest
513.0ms
(- a (log (+ (pow (pow (exp a) 3) 3) (pow (pow (exp b) 3) 3))))
487.0ms
(log (+ (pow (pow (exp a) 3) 3) (pow (pow (exp b) 3) 3)))
349.0ms
(log (+ (* (* (exp a) (exp a)) (* (exp a) (exp a))) (+ (* (* (exp b) (- (exp a) (exp b))) (* (exp b) (- (exp a) (exp b)))) (* (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b)))))))
325.0ms
(log (* (cbrt (+ (pow (exp a) 3) (pow (exp b) 3))) (cbrt (+ (pow (exp a) 3) (pow (exp b) 3)))))
312.0ms
(log (sqrt (+ (pow (exp a) 3) (pow (exp b) 3))))

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

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

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
3.7s3420×body10240exit
631.0ms8000×body80valid