Details

Time bar (total: 23.3s)

sample179.0ms

Algorithm
intervals
Results
113.0ms983×body80nan
30.0ms297×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5001
63677
51768
4765
3235
276
130
014

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9)
0.3b
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9)))
0.4b
(sqrt (* (- a (/ 1.0 3.0)) 9))
7.9b
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9))) (- a (/ 1.0 3.0)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
24×associate-*l* add-cube-cbrt
13×add-cbrt-cube add-exp-log
11×pow1
9×associate-*r* associate-*l/
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-*r/ *-commutative div-inv distribute-lft-out--
1×clear-num frac-2neg pow1/2
Counts
4 → 121
Calls
4 calls:
42.0ms
(* (- a (/ 1.0 3.0)) 9)
24.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9)))
14.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))
84.0ms
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9))) (- a (/ 1.0 3.0)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (- a (/ 1.0 3.0)) 9)
174.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9)))
79.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))
160.0ms
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9))) (- a (/ 1.0 3.0)))

simplify1.6s

Counts
133 → 133
Iterations
IterNodes
done5001
22123
1648
0251

prune720.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9 (- a (/ 1.0 3.0)))
0.2b
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.2b
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
59×times-frac
50×*-un-lft-identity
36×associate-*r*
30×add-cube-cbrt
20×difference-of-squares
14×sqrt-prod
13×add-cbrt-cube add-exp-log
11×pow1
10×distribute-lft-out--
9×associate-*r/
6×sqrt-div associate-*l* associate-/l*
5×flip3-- flip--
4×associate-/r* associate-/r/ insert-posit16 add-log-exp
3×pow-prod-down prod-exp cbrt-unprod unswap-sqr
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in sqrt-pow1 div-exp *-commutative div-inv associate-/l/
1×clear-num frac-2neg pow1/2 div-sub
Counts
4 → 144
Calls
4 calls:
28.0ms
(* 9 (- a (/ 1.0 3.0)))
60.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
52.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* 9 (- a (/ 1.0 3.0)))
136.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
113.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
101.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify2.0s

Counts
156 → 156
Iterations
IterNodes
done5006
22120
1677
0256

prune879.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
19×sqrt-prod
17×*-un-lft-identity
11×add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*l*
8×pow1 sqrt-div
6×times-frac difference-of-squares
4×flip3-- associate-*l/ insert-posit16 flip-- add-log-exp
3×associate-/r* associate-*r* distribute-lft-out--
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
7.0ms
(sqrt (- a (/ 1.0 3.0)))
7.0ms
(sqrt (- a (/ 1.0 3.0)))
27.0ms
(* (sqrt (- a (/ 1.0 3.0))) rand)
17.0ms
(/ (* (sqrt (- a (/ 1.0 3.0))) rand) 3)

series427.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(sqrt (- a (/ 1.0 3.0)))
51.0ms
(sqrt (- a (/ 1.0 3.0)))
145.0ms
(* (sqrt (- a (/ 1.0 3.0))) rand)
182.0ms
(/ (* (sqrt (- a (/ 1.0 3.0))) rand) 3)

simplify2.6s

Counts
102 → 102
Iterations
IterNodes
done5004
34910
21152
1376
0164

prune548.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt (/ 1.0 3.0)) (sqrt a))
0.1b
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (* rand 1/3) (+ (sqrt (/ 1.0 3.0)) (sqrt a)))
0.3b
(* rand 1/3)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
243×add-sqr-sqrt
166×sqrt-prod
131×times-frac
113×*-un-lft-identity
84×difference-of-squares
41×add-cube-cbrt
32×distribute-lft-out--
13×add-cbrt-cube add-exp-log
11×pow1 associate-/l*
9×associate-/r*
8×associate-*r*
6×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 distribute-lft-out
2×flip3-+ flip3-- sqrt-div associate-*r/ associate-/r/ *-commutative flip-+ flip-- associate-/l/
1×distribute-rgt-in cbrt-undiv +-commutative clear-num sum-log frac-2neg distribute-lft-in div-sub div-exp div-inv unswap-sqr
Counts
4 → 195
Calls
4 calls:
10.0ms
(+ (sqrt (/ 1.0 3.0)) (sqrt a))
40.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
42.0ms
(* (* rand 1/3) (+ (sqrt (/ 1.0 3.0)) (sqrt a)))
10.0ms
(* rand 1/3)

series478.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(+ (sqrt (/ 1.0 3.0)) (sqrt a))
255.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
133.0ms
(* (* rand 1/3) (+ (sqrt (/ 1.0 3.0)) (sqrt a)))
29.0ms
(* rand 1/3)

simplify2.2s

Counts
207 → 207
Iterations
IterNodes
done5000
23185
1830
0329

prune761.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample6.2s

Algorithm
intervals
Results
4.2s26912×body80nan
1.1s9127×body80valid