Details

Time bar (total: 8.8s)

sample66.0ms

Algorithm
intervals
Results
24.0ms780×body80nan
10.0ms297×body80valid

simplify96.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210
done500210

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite141.0ms

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:
47.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
63.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
16.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
176.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
137.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
72.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify91.0ms

Counts
126 → 126
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08231338
136071238
250021238
done50021238

prune371.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
24×times-frac
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×associate-*l*
15×pow1
12×sqrt-div
11×add-exp-log add-cbrt-cube
9×associate-*r/
5×pow-prod-down
4×flip3-- sqrt-pow1 associate-/r* associate-/r/ flip-- add-log-exp
3×associate-*l/ prod-exp cbrt-unprod associate-/l*
2×pow1/2 div-inv
1×cbrt-undiv frac-times frac-2neg div-exp associate-*r* clear-num *-commutative
Counts
4 → 98
Calls
4 calls:
16.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
206.0ms
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand))
11.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
11.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series598.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
302.0ms
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand))
72.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
73.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify63.0ms

Counts
110 → 110
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06471209
126301067
250011067
done50011067

prune443.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))) rand))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.4b
(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

rewrite521.0ms

Algorithm
rewrite-expression-head
Rules
198×add-sqr-sqrt
165×sqrt-prod
160×times-frac
90×*-un-lft-identity
78×add-cube-cbrt
61×associate-*r* associate-*l*
25×unswap-sqr
23×add-exp-log add-cbrt-cube
18×sqrt-div
14×pow1
12×associate-*r/ difference-of-squares
10×associate-*l/
7×prod-exp cbrt-unprod
6×frac-times associate-/r/ distribute-lft-out--
5×cbrt-undiv div-exp pow-prod-down
4×flip3-- associate-/r* flip-- div-inv add-log-exp
3×associate-/l*
2×sqrt-undiv sqrt-pow1 *-commutative
1×frac-2neg pow1/2 sqrt-unprod clear-num
Counts
4 → 235
Calls
4 calls:
17.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
376.0ms
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))) rand))
11.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
104.0ms
(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
346.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
607.0ms
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))) rand))
74.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
209.0ms
(* (/ (sqrt 1.0) (sqrt 9.0)) (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

simplify54.0ms

Counts
247 → 247
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013853361
150023135
done50023135

prune960.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
0.5b
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.5b
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.5b
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
20×associate-*r/
18×cbrt-div sqrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* sqrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
26.0ms
(* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
19.0ms
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
18.0ms
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series703.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))) (cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
172.0ms
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
167.0ms
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
164.0ms
(cbrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify47.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03791358
113721250
250021155
done50021155

prune427.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710
done1710

end0.0ms

sample2.0s

Algorithm
intervals
Results
829.0ms26736×body80nan
313.0ms9127×body80valid