Details

Time bar (total: 16.5s)

sample129.0ms

Algorithm
intervals
Results
94.0ms104×body10240exit
20.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
8.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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
28.0ms
(/ (exp a) (+ (exp a) (exp b)))
12.0ms
(+ (exp a) (exp b))

series89.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(/ (exp a) (+ (exp a) (exp b)))
40.0ms
(+ (exp a) (exp b))

simplify936.0ms

Counts
42 → 53
Calls
42 calls:
Slowest
343.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
83.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
79.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
63.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
22.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) 1)

prune435.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

3.7b
(log (+ (exp a) (exp b)))
1.1b
(- a (log (+ (exp a) (exp b))))
0.0b
(+ (exp a) (exp b))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))

rewrite41.0ms

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
15.0ms
(- a (log (+ (exp a) (exp b))))
12.0ms
(exp (- a (log (+ (exp a) (exp b)))))
7.0ms
(+ (exp a) (exp b))
6.0ms
(log (+ (exp a) (exp b)))

series174.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
66.0ms
(exp (- a (log (+ (exp a) (exp b)))))
44.0ms
(- a (log (+ (exp a) (exp b))))
43.0ms
(log (+ (exp a) (exp b)))
20.0ms
(+ (exp a) (exp b))

simplify2.0s

Counts
45 → 84
Calls
45 calls:
Slowest
425.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
238.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
199.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
146.0ms
(log (+ (pow (exp a) 3) (pow (exp b) 3)))
139.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))

prune961.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (exp a) (+ (exp a) (exp b)))
1.0b
(/ (exp a) (+ (exp a) (exp b)))
1.0b
(/ (exp a) (+ (exp a) (exp b)))
0.4b
(cbrt (* (* (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b)))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
36×times-frac
31×add-sqr-sqrt add-cube-cbrt
12×associate-/r* distribute-lft-out
10×add-cbrt-cube
9×associate-/l*
7×cbrt-div add-exp-log
6×associate-/r/
5×frac-times associate-*l/
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-+ div-exp associate-*r/ flip-+ div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 120
Calls
4 calls:
Slowest
115.0ms
(cbrt (* (* (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b)))))
27.0ms
(/ (exp a) (+ (exp a) (exp b)))
21.0ms
(/ (exp a) (+ (exp a) (exp b)))
18.0ms
(/ (exp a) (+ (exp a) (exp b)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
61.0ms
(/ (exp a) (+ (exp a) (exp b)))
45.0ms
(cbrt (* (* (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b)))))
40.0ms
(/ (exp a) (+ (exp a) (exp b)))
39.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify4.1s

Counts
123 → 132
Calls
123 calls:
Slowest
435.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
376.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
356.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
352.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
167.0ms
(cbrt (* (* (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b)))) (exp a)))

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
3×exp-prod add-log-exp
2×add-sqr-sqrt *-un-lft-identity exp-sum add-cube-cbrt rem-exp-log
1×pow1 sub-neg add-cbrt-cube exp-diff diff-log add-exp-log insert-posit16
Counts
1 → 16
Calls
1 calls:
Slowest
41.0ms
(exp (- (* (- a b) 1/2) (log 2)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
59.0ms
(exp (- (* (- a b) 1/2) (log 2)))

simplify1.4s

Counts
11 → 19
Calls
11 calls:
Slowest
234.0ms
(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))
218.0ms
(exp (- (* 1/2 a) (+ (* 1/2 b) (log 2))))
197.0ms
(exp (* (cbrt (- (* (- a b) 1/2) (log 2))) (cbrt (- (* (- a b) 1/2) (log 2)))))
160.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
117.0ms
(exp (sqrt (- (* (- a b) 1/2) (log 2))))

prune183.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.5b

regimes192.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch1.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.3s3412×body10240exit
642.0ms8000×body80valid