Details

Time bar (total: 13.4s)

sample117.0ms

Algorithm
intervals
Results
88.0ms110×body10240exit
16.0ms256×body80valid

simplify10.0ms

Calls
1 calls:
Slowest
10.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune27.0ms

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))

rewrite12.0ms

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
7.0ms
(/ (exp a) (+ (exp a) (exp b)))
4.0ms
(+ (exp a) (exp b))

series89.0ms

Calls
2 calls:
Slowest
55.0ms
(/ (exp a) (+ (exp a) (exp b)))
34.0ms
(+ (exp a) (exp b))

simplify1.0s

Calls
42 calls:
Slowest
350.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
131.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
78.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
38.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
28.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) 1)

prune505.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

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))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
8×log-prod
7×add-sqr-sqrt add-cube-cbrt add-log-exp
6×log-div
5×pow1 add-exp-log
4×flip3-+ add-cbrt-cube exp-sum flip-+ insert-posit16 associate--r+ associate--r-
3×exp-prod distribute-lft-out
2×sub-neg
1×+-commutative sum-log flip3-- exp-diff rem-log-exp log-pow flip-- rem-exp-log
Calls
4 calls:
Slowest
4.0ms
(+ (exp a) (exp b))
3.0ms
(log (+ (exp a) (exp b)))
3.0ms
(- a (log (+ (exp a) (exp b))))
2.0ms
(exp (- a (log (+ (exp a) (exp b)))))

series176.0ms

Calls
4 calls:
Slowest
61.0ms
(exp (- a (log (+ (exp a) (exp b)))))
58.0ms
(log (+ (exp a) (exp b)))
37.0ms
(- a (log (+ (exp a) (exp b))))
20.0ms
(+ (exp a) (exp b))

simplify1.2s

Calls
36 calls:
Slowest
198.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
197.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
148.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
109.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
86.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))

prune757.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize83.0ms

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))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
12×times-frac
10×pow1
8×add-cbrt-cube
6×add-exp-log add-log-exp
4×associate-/r* insert-posit16 distribute-lft-out
3×log-prod 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 pow-prod-down prod-exp log-pow *-commutative pow-prod-up cbrt-unprod div-inv flip--
Calls
4 calls:
Slowest
69.0ms
(/ (exp a) (+ (exp (+ (+ a a) a)) (exp (+ (+ b b) b))))
21.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
14.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
4.0ms
(* (exp a) (exp a))

series283.0ms

Calls
4 calls:
Slowest
123.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
76.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
64.0ms
(/ (exp a) (+ (exp (+ (+ a a) a)) (exp (+ (+ b b) b))))
19.0ms
(* (exp a) (exp a))

simplify3.8s

Calls
66 calls:
Slowest
379.0ms
(log (+ (pow (* (exp a) (exp a)) 3) (pow (- (* (exp b) (exp b)) (* (exp a) (exp b))) 3)))
308.0ms
(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))))))
215.0ms
(+ (* (exp (+ (+ a a) a)) (exp (+ (+ a a) a))) (- (* (exp (+ (+ b b) b)) (exp (+ (+ b b) b))) (* (exp (+ (+ a a) a)) (exp (+ (+ b b) b)))))
183.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp (+ (+ a a) a)) (exp (+ (+ b b) b))) (+ (exp (+ (+ a a) a)) (exp (+ (+ b b) b)))) (+ (exp (+ (+ a a) a)) (exp (+ (+ b b) b)))))
122.0ms
(log (* (cbrt (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))) (cbrt (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.5s3435×body10240exit
1.0s8000×body80valid