Details

Time bar (total: 17.4s)

sample122.0ms

Algorithm
intervals
Results
93.0ms110×body10240exit
17.0ms256×body80valid

simplify6.0ms

Calls
1 calls:
Slowest
6.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite33.0ms

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
Calls
2 calls:
Slowest
17.0ms
(/ (exp a) (+ (exp a) (exp b)))
14.0ms
(+ (exp a) (exp b))

series70.0ms

Calls
2 calls:
Slowest
41.0ms
(/ (exp a) (+ (exp a) (exp b)))
29.0ms
(+ (exp a) (exp b))

simplify954.0ms

Calls
42 calls:
Slowest
353.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
102.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
72.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
59.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
29.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) 1)

prune400.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.7b
(log (+ (exp a) (exp b)))
0.6b
(- a (log (+ (exp a) (exp b))))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))

rewrite74.0ms

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--
Calls
4 calls:
Slowest
23.0ms
(exp (- a (log (+ (exp a) (exp b)))))
19.0ms
(+ (exp a) (exp b))
18.0ms
(- a (log (+ (exp a) (exp b))))
12.0ms
(log (+ (exp a) (exp b)))

series210.0ms

Calls
4 calls:
Slowest
78.0ms
(exp (- a (log (+ (exp a) (exp b)))))
57.0ms
(log (+ (exp a) (exp b)))
43.0ms
(- a (log (+ (exp a) (exp b))))
33.0ms
(+ (exp a) (exp b))

simplify1.8s

Calls
45 calls:
Slowest
367.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
235.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
201.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
145.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
142.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

prune908.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

6.0b
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
3.4b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
0.3b
(/ (exp a) (+ (exp (+ (+ a a) a)) (exp (+ (+ b b) b))))
0.0b
(* (exp a) (exp a))

rewrite397.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
26×add-sqr-sqrt
24×add-cube-cbrt
18×exp-prod
12×pow1 times-frac
8×add-cbrt-cube
6×add-exp-log add-log-exp
4×associate-/r* pow-prod-down pow-sqr pow-prod-up insert-posit16 distribute-lft-out
3×log-prod swap-sqr associate-*r* associate-*l* associate-/l*
2×log-div flip3-+ associate-/r/ flip-+
1×pow2 cbrt-undiv clear-num sub-neg frac-2neg pow-plus flip3-- distribute-rgt-out-- diff-log div-exp rem-log-exp prod-exp log-pow *-commutative cbrt-unprod div-inv flip-- unswap-sqr
Calls
4 calls:
Slowest
284.0ms
(/ (exp a) (+ (exp (+ (+ a a) a)) (exp (+ (+ b b) b))))
69.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
25.0ms
(* (exp a) (exp a))
16.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series270.0ms

Calls
4 calls:
Slowest
132.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
68.0ms
(/ (exp a) (+ (exp (+ (+ a a) a)) (exp (+ (+ b b) b))))
56.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
14.0ms
(* (exp a) (exp a))

simplify5.8s

Calls
93 calls:
Slowest
494.0ms
(log (+ (pow (* (exp a) (exp a)) 3) (pow (- (* (exp b) (exp b)) (* (exp a) (exp b))) 3)))
315.0ms
(log (- (* (* (exp a) (exp a)) (* (exp a) (exp a))) (* (- (* (exp b) (exp b)) (* (exp a) (exp b))) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
235.0ms
(+ (* (exp (+ (+ a a) a)) (exp (+ (+ a a) a))) (- (* (exp (+ (+ b b) b)) (exp (+ (+ b b) b))) (* (exp (+ (+ a a) a)) (exp (+ (+ b b) b)))))
215.0ms
(log (- (+ (pow (exp b) 2) (pow (exp a) 2)) (* (exp b) (exp a))))
197.0ms
(/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a))))

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.9s3435×body10240exit
985.0ms8000×body80valid