Details

Time bar (total: 15.1s)

sample71.0ms

Algorithm
intervals
Results
30.0ms988×body80nan
10.0ms298×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01320
12720
27020
317220
435220
566720
6110220
7185720
8392720
done500020

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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

rewrite90.0ms

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×frac-times associate-/r* associate-/r/ 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 → 114
Calls
4 calls:
30.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
36.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
13.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series559.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
79.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
203.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
150.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify908.0ms

Counts
126 → 126
Iterations

Useful iterations: done (903.0ms)

IterNodesCost
03032615
18222480
230502274
done50002268

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
8.3b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
24×associate-*l*
23×add-cube-cbrt
20×add-exp-log add-cbrt-cube
14×pow1
8×sqrt-prod
7×associate-*r/ prod-exp cbrt-unprod
6×sqrt-div associate-*l/
5×flip3-- pow-prod-down flip--
4×associate-*r* associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
36.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
108.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series607.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
202.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
159.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
171.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify960.0ms

Counts
123 → 123
Iterations

Useful iterations: done (949.0ms)

IterNodesCost
02912353
17542261
226262003
done50001995

prune352.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))
8.3b
(* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
103×add-exp-log
101×add-sqr-sqrt
82×times-frac
69×*-un-lft-identity
61×associate-*l* add-cbrt-cube
55×prod-exp
53×add-cube-cbrt
52×sqrt-prod
29×cbrt-unprod
22×div-exp
20×pow1
16×difference-of-squares
15×associate-*l/
12×cbrt-undiv
10×frac-times pow-prod-down
9×associate-/r*
8×distribute-lft-out--
7×associate-*r/
6×rec-exp flip3-- 1-exp flip--
5×associate-*r*
4×sqrt-div associate-/r/ add-log-exp
3×*-commutative div-inv associate-/l* unswap-sqr
1×frac-2neg clear-num
Counts
4 → 209
Calls
4 calls:
37.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
44.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))
133.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)))

series664.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
81.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
225.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))
202.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)))

simplify1.2s

Counts
221 → 221
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04144526
110944071
237563491
done50003483

prune577.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b
(/ (* (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))) (sqrt 9.0))
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
8.2b
(* (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
70×times-frac
60×*-un-lft-identity
49×sqrt-prod
44×add-cube-cbrt
34×add-exp-log associate-*l* add-cbrt-cube
16×difference-of-squares
15×associate-/r*
12×prod-exp cbrt-unprod
11×pow1
9×associate-*r* associate-*l/
8×cbrt-undiv div-exp distribute-lft-out--
6×flip3-- flip--
5×associate-/l/
4×frac-times sqrt-div associate-*r/ pow-prod-down associate-/r/ associate-/l* add-log-exp
3×div-inv unswap-sqr
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num *-commutative
Counts
4 → 174
Calls
4 calls:
37.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
53.0ms
(/ (* (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))) (sqrt 9.0))
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
59.0ms
(* (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
202.0ms
(/ (* (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0))) (sqrt 9.0))
83.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
126.0ms
(* (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (- a (/ 1.0 3.0)))

simplify1.1s

Counts
186 → 186
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03613531
19403349
235902963
done50012955

prune512.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01527
11927
done1927

end0.0ms

sample1.8s

Algorithm
intervals
Results
870.0ms27681×body80nan
321.0ms9139×body80valid