Details

Time bar (total: 1.4m)

sample130.0ms

Algorithm
intervals
Results
76.0ms782×body80nan
25.0ms291×body80valid

simplify2.5s

Counts
1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

7.0b
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
24×associate-*r* add-cube-cbrt
13×add-cbrt-cube add-exp-log
11×pow1
9×associate-*l* associate-*r/
8×sqrt-prod
6×flip3-- sqrt-div flip--
4×associate-/r* associate-/r/ insert-posit16 add-log-exp difference-of-squares
3×pow-prod-down prod-exp cbrt-unprod associate-/l* unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in sqrt-pow1 div-exp associate-*l/ *-commutative div-inv distribute-lft-out--
1×clear-num frac-2neg pow1/2
Counts
4 → 121
Calls
4 calls:
Slowest
64.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
25.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
22.0ms
(* 9 (- a (/ 1.0 3.0)))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series479.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
168.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
158.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
81.0ms
(* 9 (- a (/ 1.0 3.0)))
72.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify900.0ms

Counts
133 → 133

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

7.0b
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
24×associate-*r* add-cube-cbrt
13×add-cbrt-cube add-exp-log
11×pow1
9×associate-*l* associate-*r/
8×sqrt-prod
6×flip3-- sqrt-div flip--
4×associate-/r* associate-/r/ insert-posit16 add-log-exp difference-of-squares
3×pow-prod-down prod-exp cbrt-unprod associate-/l* unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in sqrt-pow1 div-exp associate-*l/ *-commutative div-inv distribute-lft-out--
1×clear-num frac-2neg pow1/2
Counts
4 → 121
Calls
4 calls:
Slowest
88.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
36.0ms
(* 9 (- a (/ 1.0 3.0)))
19.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
12.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series490.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
174.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
169.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))))
79.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
68.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify896.0ms

Counts
133 → 133

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

7.0b
(* (* (- a (/ 1.0 3.0)) 1/3) (/ rand (sqrt (- a (/ 1.0 3.0)))))
0.3b
(* (- a (/ 1.0 3.0)) 1/3)
0.2b
(/ rand (sqrt (- a (/ 1.0 3.0))))
0.0b
(+ (* (* (- a (/ 1.0 3.0)) 1/3) (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
62×times-frac
56×*-un-lft-identity
42×sqrt-prod
40×add-cube-cbrt
36×associate-*r*
20×add-cbrt-cube associate-*l/ add-exp-log
16×difference-of-squares
14×flip3-- flip--
11×pow1
10×frac-add
9×associate-/r* add-log-exp
8×distribute-lft-out--
7×associate-*l* prod-exp cbrt-unprod
6×frac-times
4×sqrt-div pow-prod-down associate-/r/ insert-posit16
3×cbrt-undiv div-exp associate-*r/ associate-/l*
2×associate-+r+ sum-log *-commutative div-inv
1×+-commutative clear-num associate-+r- sub-neg frac-2neg flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 162
Calls
4 calls:
Slowest
63.0ms
(* (* (- a (/ 1.0 3.0)) 1/3) (/ rand (sqrt (- a (/ 1.0 3.0)))))
52.0ms
(+ (* (* (- a (/ 1.0 3.0)) 1/3) (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
33.0ms
(* (- a (/ 1.0 3.0)) 1/3)
14.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))

series456.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(* (* (- a (/ 1.0 3.0)) 1/3) (/ rand (sqrt (- a (/ 1.0 3.0)))))
119.0ms
(+ (* (* (- a (/ 1.0 3.0)) 1/3) (/ rand (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
115.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
56.0ms
(* (- a (/ 1.0 3.0)) 1/3)

simplify1.4s

Counts
174 → 174

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (/ (* 1/3 (- a (/ 1.0 3.0))) (sqrt (+ (sqrt (/ 1.0 3.0)) (sqrt a)))) (/ rand (sqrt (- (sqrt a) (sqrt (/ 1.0 3.0))))))
0.4b
(/ (* 1/3 (- a (/ 1.0 3.0))) (sqrt (+ (sqrt (/ 1.0 3.0)) (sqrt a))))
0.3b
(* 1/3 (- a (/ 1.0 3.0)))
0.2b
(/ rand (sqrt (- (sqrt a) (sqrt (/ 1.0 3.0)))))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
170×add-sqr-sqrt
162×sqrt-prod
117×times-frac
99×*-un-lft-identity
57×add-cube-cbrt
54×associate-*r*
44×difference-of-squares
34×add-cbrt-cube add-exp-log
22×associate-/r*
17×associate-*l*
15×distribute-lft-out--
10×cbrt-undiv div-exp prod-exp cbrt-unprod
8×pow1 sqrt-div associate-/r/
6×distribute-lft-out
5×associate-*r/
4×flip3-- insert-posit16 div-inv flip-- associate-/l* add-log-exp unswap-sqr
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-+ pow-prod-down *-commutative flip-+ associate-/l/
1×frac-times associate-*l/
Counts
4 → 228
Calls
4 calls:
Slowest
111.0ms
(* (/ (* 1/3 (- a (/ 1.0 3.0))) (sqrt (+ (sqrt (/ 1.0 3.0)) (sqrt a)))) (/ rand (sqrt (- (sqrt a) (sqrt (/ 1.0 3.0))))))
42.0ms
(/ (* 1/3 (- a (/ 1.0 3.0))) (sqrt (+ (sqrt (/ 1.0 3.0)) (sqrt a))))
21.0ms
(* 1/3 (- a (/ 1.0 3.0)))
19.0ms
(/ rand (sqrt (- (sqrt a) (sqrt (/ 1.0 3.0)))))

series58.2s

Counts
4 → 12
Calls
4 calls:
Slowest
56.7s
(* (/ (* 1/3 (- a (/ 1.0 3.0))) (sqrt (+ (sqrt (/ 1.0 3.0)) (sqrt a)))) (/ rand (sqrt (- (sqrt a) (sqrt (/ 1.0 3.0))))))
753.0ms
(/ rand (sqrt (- (sqrt a) (sqrt (/ 1.0 3.0)))))
746.0ms
(/ (* 1/3 (- a (/ 1.0 3.0))) (sqrt (+ (sqrt (/ 1.0 3.0)) (sqrt a))))
71.0ms
(* 1/3 (- a (/ 1.0 3.0)))

simplify4.9s

Counts
240 → 240

prune3.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch4.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.6s27506×body80nan
1.7s9086×body80valid