Details

Time bar (total: 10.8s)

sample94.0ms

Algorithm
intervals
Results
68.0ms94×body10240exit
14.0ms256×body80valid

simplify9.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite13.0ms

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
8.0ms
(/ (exp a) (+ (exp a) (exp b)))
4.0ms
(+ (exp a) (exp b))

series93.0ms

Calls
2 calls:
Slowest
68.0ms
(/ (exp a) (+ (exp a) (exp b)))
25.0ms
(+ (exp a) (exp b))

simplify883.0ms

Calls
42 calls:
Slowest
351.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
80.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
56.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
42.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
31.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune489.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ (+ (exp a) (exp b)) (exp a))
0.0b
(+ (exp a) (exp b))
0.0b
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
8×distribute-lft-out
6×add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1 associate-/l*
3×insert-posit16 div-inv
2×rec-exp clear-num frac-2neg flip3-+ div-exp flip-+ associate-/l/
1×cbrt-undiv +-commutative sum-log associate-/r/ pow-flip inv-pow
Calls
3 calls:
Slowest
26.0ms
(/ (+ (exp a) (exp b)) (exp a))
4.0ms
(+ (exp a) (exp b))
4.0ms
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))

series157.0ms

Calls
3 calls:
Slowest
59.0ms
(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
57.0ms
(/ (+ (exp a) (exp b)) (exp a))
41.0ms
(+ (exp a) (exp b))

simplify1.1s

Calls
62 calls:
Slowest
401.0ms
(/ (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))) (* (* (exp a) (exp a)) (exp a)))
86.0ms
(- (* (exp a) (exp a)) (* (exp b) (exp b)))
82.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
61.0ms
(/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))
34.0ms
(/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (sqrt (exp a)))

prune884.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize52.0ms

Local error

Found 4 expressions with local error:

7.0b
(real->posit16 (/ (+ (exp a) (exp b)) (exp a)))
0.7b
(/ (+ (exp a) (exp b)) (exp a))
0.5b
(posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a))))
0.0b
(+ (exp a) (exp b))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×add-cbrt-cube distribute-lft-out add-log-exp
4×add-exp-log associate-/l*
3×pow1 associate-/r* insert-posit16
2×flip3-+ flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv remove-posit16
Calls
4 calls:
Slowest
27.0ms
(/ (+ (exp a) (exp b)) (exp a))
8.0ms
(+ (exp a) (exp b))
0.0ms
(real->posit16 (/ (+ (exp a) (exp b)) (exp a)))
0.0ms
(posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a))))

series153.0ms

Calls
4 calls:
Slowest
65.0ms
(posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a))))
55.0ms
(/ (+ (exp a) (exp b)) (exp a))
33.0ms
(+ (exp a) (exp b))
0.0ms
(real->posit16 (/ (+ (exp a) (exp b)) (exp a)))

simplify967.0ms

Calls
45 calls:
Slowest
389.0ms
(/ (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))) (* (* (exp a) (exp a)) (exp a)))
60.0ms
(- (* (exp a) (exp a)) (* (exp b) (exp b)))
55.0ms
(/ (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))) (* (cbrt (exp a)) (cbrt (exp a))))
44.0ms
(+ (pow (exp a) 3) (pow (exp b) 3))
31.0ms
(- (+ b 2) a)

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

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

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes199.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
3.2s3426×body10240exit
693.0ms8000×body80valid