Details

Time bar (total: 9.0s)

sample94.0ms

Algorithm
intervals
Results
34.0ms823×body80nan
22.0ms292×body80valid

simplify85.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))))

rewrite169.0ms

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:
51.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
67.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
35.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
197.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
146.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
77.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify85.0ms

Counts
126 → 126

prune381.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite445.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity
13×add-exp-log add-cbrt-cube
11×pow1
10×add-cube-cbrt associate-*r*
9×associate-*l*
8×associate-*r/
6×flip3-- times-frac flip--
4×frac-times sqrt-div associate-/r* add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*l/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 97
Calls
4 calls:
43.0ms
(* 9.0 (- a (/ 1.0 3.0)))
361.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
27.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
12.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series449.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 9.0 (- a (/ 1.0 3.0)))
128.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
202.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
77.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify77.0ms

Counts
109 → 109

prune313.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))))
0.3b
(/ rand (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
92×times-frac
68×*-un-lft-identity
57×sqrt-prod
52×add-cube-cbrt
36×associate-*r*
28×associate-*l*
19×add-exp-log add-cbrt-cube
16×difference-of-squares
10×unswap-sqr
9×associate-/r*
8×distribute-lft-out--
7×pow1
5×cbrt-undiv frac-times flip3-- div-exp prod-exp flip-- cbrt-unprod
4×sqrt-div associate-/r/
3×flip3-+ associate-*r/ associate-*l/ flip-+ div-inv associate-/l* add-log-exp
2×pow-prod-down *-commutative
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
3 → 168
Calls
3 calls:
50.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))))
22.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
77.0ms
(* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))

series494.0ms

Counts
3 → 9
Calls
3 calls:
160.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))))
89.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
245.0ms
(* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))

simplify106.0ms

Counts
177 → 177

prune497.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
282×sqrt-prod
188×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×sqrt-div
30×associate-/l*
24×associate-*r/
20×associate-/r/
14×associate-/r*
12×flip3-- flip--
11×add-exp-log add-cbrt-cube
10×pow1 div-inv
4×cbrt-undiv sqrt-pow1 div-exp add-log-exp
2×frac-2neg pow1/2 pow-prod-down clear-num
1×associate-/l/
Counts
4 → 311
Calls
4 calls:
20.0ms
(/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
48.0ms
(/ (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
18.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
12.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
155.0ms
(/ (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
79.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
81.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify115.0ms

Counts
323 → 323

prune789.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.6s27080×body80nan
850.0ms9114×body80valid