Details

Time bar (total: 49.0s)

sample120.0ms

Algorithm
intervals
Results
95.0ms134×body10240exit
14.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
4.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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
48.0ms
(/ (exp a) (+ (exp a) (exp b)))
17.0ms
(+ (exp a) (exp b))

series92.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
63.0ms
(/ (exp a) (+ (exp a) (exp b)))
29.0ms
(+ (exp a) (exp b))

simplify913.0ms

Counts
42 → 53
Calls
42 calls:
Slowest
363.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
95.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
75.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
35.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
29.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune501.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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

series82.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
47.0ms
(/ (exp a) (+ (exp b) (exp a)))
35.0ms
(+ (exp b) (exp a))

simplify997.0ms

Counts
42 → 53
Calls
42 calls:
Slowest
364.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
107.0ms
(+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))
90.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
48.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp b) (exp a))) (cbrt (+ (exp b) (exp a)))))
27.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) 1)

prune448.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
88×frac-times
87×flip3-+ flip-+
52×cbrt-div
44×associate-*l/
34×*-un-lft-identity
30×pow1
26×associate-*r/ associate-/r/
21×add-sqr-sqrt
18×add-cube-cbrt
12×times-frac add-cbrt-cube add-exp-log
8×associate-*r*
7×pow-plus pow-prod-up distribute-lft-out
6×swap-sqr
5×cbrt-prod associate-*l*
4×associate-/r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow2 pow-sqr associate-/l*
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-undiv clear-num frac-2neg pow1/3 div-exp rem-cbrt-cube div-inv
Counts
4 → 194
Calls
4 calls:
Slowest
106.0ms
(* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))
79.0ms
(cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
70.0ms
(* (+ (exp b) (exp a)) (+ (exp b) (exp a)))
30.0ms
(/ (exp a) (cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
55.0ms
(* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))
48.0ms
(/ (exp a) (cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))))
36.0ms
(* (+ (exp b) (exp a)) (+ (exp b) (exp a)))
21.0ms
(cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))

simplify38.5s

Counts
210 → 206
Calls
210 calls:
Slowest
774.0ms
(cbrt (* (* (+ (exp b) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp a)))) (- (* (exp b) (exp b)) (* (exp a) (exp a)))))
750.0ms
(* (* (+ (exp b) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp a)))) (- (* (exp b) (exp b)) (* (exp a) (exp a))))
707.0ms
(* (* (- (* (exp b) (exp b)) (* (exp a) (exp a))) (- (* (exp b) (exp b)) (* (exp a) (exp a)))) (- (* (exp b) (exp b)) (* (exp a) (exp a))))
667.0ms
(/ (cbrt (exp a)) (sqrt (cbrt (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))))
651.0ms
(* (* (- (* (exp b) (exp b)) (* (exp a) (exp a))) (- (* (exp b) (exp b)) (* (exp a) (exp a)))) (+ (exp b) (exp a)))

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize8.0ms

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes182.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.3s3518×body10240exit
634.0ms8000×body80valid