Details

Time bar (total: 25.7s)

sample197.0ms

Algorithm
intervals
Results
103.0ms961×body80nan
25.0ms294×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01320
12720
27619
320819
455319
5115019
6249119
done500019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.2b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×add-cube-cbrt associate-*l*
13×add-exp-log add-cbrt-cube
11×pow1
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
4×expm1-log1p-u frac-times associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ pow-prod-down associate-*l/ prod-exp cbrt-unprod flip-+ associate-/l* unswap-sqr
2×cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/2 clear-num distribute-lft-out--
Counts
4 → 122
Calls
4 calls:
70.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
107.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
18.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
54.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series741.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
277.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
223.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
111.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.9s

Counts
134 → 134
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
03112723
18942576
247102372
done50002372

prune649.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.2b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
10.2b
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
93×*-un-lft-identity
91×add-cube-cbrt
80×times-frac
78×prod-diff
41×distribute-rgt-in distribute-lft-in
20×add-exp-log add-cbrt-cube
19×associate-*l*
14×pow1
9×associate-*r*
8×associate-*r/ sqrt-prod div-inv
7×prod-exp cbrt-unprod
6×sqrt-div
5×flip3-- pow-prod-down associate-*l/ flip--
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sub-neg sqrt-pow1 *-commutative difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 201
Calls
4 calls:
78.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
25.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
58.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
275.0ms
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

series870.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
226.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
133.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
234.0ms
(* (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))

simplify1.0s

Counts
213 → 213
Iterations

Useful iterations: done (984.0ms)

IterNodesCost
05187655
115537142
done50006128

prune772.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ -1 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))
1.0b
(/ 1.0 (sqrt 3.0))
1.0b
(/ 1.0 (sqrt 3.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
64×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×sqrt-prod
24×associate-/r*
14×add-exp-log
12×add-cbrt-cube associate-/l*
6×pow1
5×div-exp
4×cbrt-undiv expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv add-log-exp
3×pow-flip
1×rec-exp sqrt-pow1 pow1/2 1-exp inv-pow
Counts
4 → 170
Calls
4 calls:
13.0ms
(/ -1 (sqrt 3.0))
15.0ms
(/ 1 (sqrt 3.0))
13.0ms
(/ 1.0 (sqrt 3.0))
29.0ms
(/ 1.0 (sqrt 3.0))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ -1 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(/ 1.0 (sqrt 3.0))
0.0ms
(/ 1.0 (sqrt 3.0))

simplify781.0ms

Counts
174 → 174
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
01821729
13321501
212611399
done50001375

prune996.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- a (/ 1.0 3.0)) 1.0) (* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))))
0.2b
(* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
10.2b
(* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

rewrite559.0ms

Algorithm
rewrite-expression-head
Rules
902×times-frac
734×add-sqr-sqrt
572×*-un-lft-identity
480×add-cube-cbrt
446×sqrt-prod
205×associate-*l*
156×prod-diff
92×difference-of-squares
82×distribute-rgt-in associate-+r+ distribute-lft-in
46×distribute-lft-out--
33×div-inv
32×add-exp-log add-cbrt-cube
23×associate-*l/
22×associate-/l*
13×flip3-- flip--
11×pow1
10×frac-add prod-exp cbrt-unprod
9×cbrt-undiv div-exp associate-*r* associate-/r*
7×unswap-sqr
6×frac-times associate-*r/ add-log-exp
4×expm1-log1p-u sub-neg sqrt-div pow-prod-down associate-/r/ log1p-expm1-u
2×*-commutative
1×+-commutative fma-def frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/
Counts
4 → 700
Calls
4 calls:
54.0ms
(+ (* (- a (/ 1.0 3.0)) 1.0) (* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))))
163.0ms
(* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
35.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
221.0ms
(* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
276.0ms
(+ (* (- a (/ 1.0 3.0)) 1.0) (* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))))
343.0ms
(* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
257.0ms
(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
269.0ms
(* (* (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

simplify2.3s

Counts
712 → 712
Iterations

Useful iterations: done (2.2s)

IterNodesCost
098521114
1290419623
done500118481

prune3.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02859
14359
24559
done4559

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.9s27499×body80nan
805.0ms9126×body80valid