Details

Time bar (total: 41.4s)

sample110.0ms

Algorithm
intervals
Results
83.0ms127×body10240exit
15.0ms256×body80valid

simplify5.0ms

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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
16.0ms
(/ (exp a) (+ (exp a) (exp b)))
8.0ms
(+ (exp a) (exp b))

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
35.0ms
(/ (exp a) (+ (exp a) (exp b)))
33.0ms
(+ (exp a) (exp b))

simplify2.4s

Counts
67 → 53
Calls
67 calls:
Slowest
383.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
357.0ms
(* (* (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b))))
343.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
229.0ms
(* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
133.0ms
(/ (exp a) (- (* (exp a) (exp a)) (* (exp b) (exp b))))

prune543.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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
31.0ms
(/ (exp a) (+ (exp b) (exp a)))
16.0ms
(+ (exp b) (exp a))

series76.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
51.0ms
(/ (exp a) (+ (exp b) (exp a)))
25.0ms
(+ (exp b) (exp a))

simplify2.7s

Counts
67 → 53
Calls
67 calls:
Slowest
331.0ms
(* (* (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a)))) (/ (exp a) (+ (exp b) (exp a))))
330.0ms
(/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3)))
326.0ms
(* (exp (exp b)) (exp (exp a)))
320.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
227.0ms
(* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))

prune499.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize56.0ms

Local error

Found 4 expressions with local error:

4.6b
(- (* (exp a) (exp a)) (* (exp b) (exp a)))
1.5b
(* (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
0.9b
(/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a))))
0.2b
(* (exp b) (exp a))

rewrite721.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
25×times-frac
24×add-cube-cbrt
21×associate-*l*
13×add-cbrt-cube
9×add-exp-log
8×pow1
7×cube-unmult pow3 sum-cubes
6×associate-*r* add-log-exp
4×associate-/r* flip3-+ associate-/r/ flip-+ insert-posit16
3×prod-exp cbrt-unprod associate-/l* unswap-sqr
2×frac-times cbrt-undiv exp-prod div-exp pow-prod-down associate-*r/ *-commutative div-inv
1×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-- distribute-rgt-out-- diff-log associate-*l/ pow-prod-up flip--
Counts
4 → 112
Calls
4 calls:
Slowest
537.0ms
(* (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
136.0ms
(/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a))))
27.0ms
(* (exp b) (exp a))
18.0ms
(- (* (exp a) (exp a)) (* (exp b) (exp a)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
237.0ms
(* (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
99.0ms
(/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a))))
57.0ms
(- (* (exp a) (exp a)) (* (exp b) (exp a)))
36.0ms
(* (exp b) (exp a))

simplify27.6s

Counts
144 → 124
Calls
144 calls:
Slowest
955.0ms
(* (/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a))) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a))))) (* (* (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))))
807.0ms
(exp (- (* (exp a) (exp a)) (* (exp b) (exp a))))
741.0ms
(* (* (* (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))) (* (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))) (* (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))))
707.0ms
(* (* (* (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a)))) (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a))))) (/ (exp a) (+ (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a))))) (* (* (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))))
612.0ms
(* (- (* (exp b) (* (exp b) (exp b))) (* (* (exp a) (exp a)) (exp a))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

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

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.9b

regimes163.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample4.5s

Algorithm
intervals
Results
3.6s3522×body10240exit
563.0ms8000×body80valid