Details

Time bar (total: 13.9s)

sample87.0ms

Algorithm
intervals
Results
65.0ms107×body10240exit
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
5.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize10.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite56.0ms

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
34.0ms
(+ (exp a) (exp b))
21.0ms
(/ (exp a) (+ (exp a) (exp b)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(/ (exp a) (+ (exp a) (exp b)))
23.0ms
(+ (exp a) (exp b))

simplify1.0s

Counts
42 → 53
Calls
42 calls:
Slowest
354.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
121.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
61.0ms
(- (+ (* 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)))))
34.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune493.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ (exp a) (+ (exp b) (exp a)))
0.0b
(+ (exp b) (exp a))

rewrite28.0ms

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
17.0ms
(/ (exp a) (+ (exp b) (exp a)))
10.0ms
(+ (exp b) (exp a))

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(/ (exp a) (+ (exp b) (exp a)))
28.0ms
(+ (exp b) (exp a))

simplify1.0s

Counts
42 → 53
Calls
42 calls:
Slowest
362.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
120.0ms
(+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))
72.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
66.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp b) (exp a))) (cbrt (+ (exp b) (exp a)))))
35.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp b) (exp a))))

prune503.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 4 expressions with local error:

3.1b
(log (+ (exp a) (exp b)))
0.8b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))

rewrite49.0ms

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
14.0ms
(+ (exp a) (exp b))
13.0ms
(exp (- a (log (+ (exp a) (exp b)))))
11.0ms
(log (+ (exp a) (exp b)))
10.0ms
(- a (log (+ (exp a) (exp b))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
458.0ms
(exp (- a (log (+ (exp a) (exp b)))))
41.0ms
(- a (log (+ (exp a) (exp b))))
40.0ms
(log (+ (exp a) (exp b)))
33.0ms
(+ (exp a) (exp b))

simplify1.9s

Counts
45 → 84
Calls
45 calls:
Slowest
334.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
264.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
212.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
149.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
126.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))

prune821.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b
(exp (- (* (- a b) 1/2) (log 2)))
0.0b
(- (* (- a b) 1/2) (log 2))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
5×add-log-exp
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×log-prod exp-prod associate--r+
2×pow1 sub-neg add-cbrt-cube diff-log exp-sum add-exp-log insert-posit16 rem-exp-log
1×flip3-- exp-diff flip--
Counts
2 → 32
Calls
2 calls:
Slowest
65.0ms
(exp (- (* (- a b) 1/2) (log 2)))
19.0ms
(- (* (- a b) 1/2) (log 2))

series99.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
51.0ms
(exp (- (* (- a b) 1/2) (log 2)))
48.0ms
(- (* (- a b) 1/2) (log 2))

simplify2.0s

Counts
18 → 38
Calls
18 calls:
Slowest
255.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
236.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))
202.0ms
(/ (exp (* (- a b) 1/2)) 2)
198.0ms
(exp (- (* 1/2 a) (+ (* 1/2 b) (log 2))))
183.0ms
(exp (* (cbrt (- (* (- a b) 1/2) (log 2))) (cbrt (- (* (- a b) 1/2) (log 2)))))

prune389.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes146.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch1.0ms

end0.0ms

sample4.4s

Algorithm
intervals
Results
3.5s3453×body10240exit
637.0ms8000×body80valid