Details

Time bar (total: 28.6s)

sample92.0ms

Algorithm
intervals
Results
34.0ms925×body80nan
16.0ms284×body80valid

simplify10.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
12720
27220
318820
441720
577220
6149620
7249020
8340220
9472420
done500020

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite247.0ms

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:
84.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
28.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
109.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
20.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
186.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
243.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
121.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.0s

Counts
126 → 126
Iterations

Useful iterations: 2 (664.0ms)

IterNodesCost
03032615
18232480
229632274
done50002274

prune586.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.2b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
82×times-frac
70×*-un-lft-identity
61×associate-*l*
54×add-cube-cbrt
52×add-exp-log sqrt-prod
34×add-cbrt-cube
23×prod-exp
16×difference-of-squares
13×pow1 cbrt-unprod
12×div-exp
9×associate-/r*
8×distribute-lft-out--
7×cbrt-undiv associate-*r*
6×associate-*l/
5×frac-times flip3-- pow-prod-down flip--
4×sqrt-div associate-/r/ add-log-exp unswap-sqr
3×rec-exp flip3-+ 1-exp associate-*r/ *-commutative flip-+ div-inv associate-/l*
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 191
Calls
4 calls:
69.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
69.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
26.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
83.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series820.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
204.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
123.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
291.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify2.2s

Counts
203 → 203
Iterations

Useful iterations: done (2.2s)

IterNodesCost
04024116
110533677
237353331
done50003325

prune828.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite466.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
126×add-sqr-sqrt
102×sqrt-prod
86×*-un-lft-identity
58×add-cube-cbrt
26×difference-of-squares
14×add-exp-log add-cbrt-cube
13×distribute-lft-out--
11×div-inv
10×associate-/l*
9×associate-/r*
6×pow1 associate-*l*
5×cbrt-undiv flip3-- div-exp flip--
4×frac-times sqrt-div associate-*r*
3×flip3-+ flip-+ add-log-exp
2×associate-*r/ associate-*l/ prod-exp associate-/r/ cbrt-unprod
1×distribute-rgt-in rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
3 → 178
Calls
3 calls:
16.0ms
(sqrt (- a (/ 1.0 3.0)))
375.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
65.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series591.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sqrt (- a (/ 1.0 3.0)))
197.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
329.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify1.8s

Counts
187 → 187
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03674605
19844228
233944062
done50004054

prune651.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.7b
(/ (* 1.0 1.0) (* 9.0 (- a (/ 1.0 3.0))))
9.7b
(/ (* (- (* 1.0 1.0) (* (* (/ (* 1.0 1.0) (* 9.0 (- a (/ 1.0 3.0)))) rand) rand)) (- a (/ 1.0 3.0))) (- 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
18×associate-*l*
17×times-frac
15×add-cube-cbrt *-un-lft-identity
10×flip3-- flip--
9×pow1
8×associate-*r/ associate-/l/
7×cbrt-undiv div-exp prod-exp cbrt-unprod
6×associate-/r/
4×frac-times sqrt-div associate-/r* sqrt-prod add-log-exp
3×associate-*r* associate-*l/ div-inv
2×frac-2neg sqrt-pow1 pow-prod-down clear-num associate-/l* unswap-sqr
1×pow1/2 *-commutative
Counts
4 → 104
Calls
4 calls:
84.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
21.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
34.0ms
(/ (* 1.0 1.0) (* 9.0 (- a (/ 1.0 3.0))))
41.0ms
(/ (* (- (* 1.0 1.0) (* (* (/ (* 1.0 1.0) (* 9.0 (- a (/ 1.0 3.0)))) rand) rand)) (- a (/ 1.0 3.0))) (- 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))

series810.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
115.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
36.0ms
(/ (* 1.0 1.0) (* 9.0 (- a (/ 1.0 3.0))))
346.0ms
(/ (* (- (* 1.0 1.0) (* (* (/ (* 1.0 1.0) (* 9.0 (- a (/ 1.0 3.0)))) rand) rand)) (- a (/ 1.0 3.0))) (- 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))

simplify2.2s

Counts
116 → 116
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03203090
19192919
236862499
done50002497

prune580.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01320
11720
done1720

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.3s27480×body80nan
491.0ms9121×body80valid