Details

Time bar (total: 58.0s)

sample252.0ms

Algorithm
intervals
Results
167.0ms1052×body80nan
40.0ms300×body80valid

simplify891.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
3482
284
130
014

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9 (- a (/ 1.0 3.0)))
0.1b
(fma rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.3b
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
98×*-un-lft-identity
86×add-cube-cbrt
84×times-frac
78×prod-diff
41×distribute-rgt-in distribute-lft-in
12×difference-of-squares
9×pow1
8×add-cbrt-cube add-exp-log sqrt-prod
7×div-inv
6×associate-*r* associate-*r/ associate-/l* distribute-lft-out--
4×expm1-log1p-u associate-/r* flip3-- sqrt-div insert-posit16 log1p-expm1-u flip-- add-log-exp
3×associate-*l*
2×sub-neg sqrt-pow1 pow-prod-down associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg pow1/2 div-sub div-exp prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 189
Calls
4 calls:
29.0ms
(* 9 (- a (/ 1.0 3.0)))
0.0ms
(fma rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
52.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
19.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 9 (- a (/ 1.0 3.0)))
108.0ms
(fma rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
100.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
80.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.8s

Counts
201 → 201
Iterations
IterNodes
done5000
24183
11012
0429

prune887.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
32×*-un-lft-identity times-frac
30×sqrt-prod
22×add-cube-cbrt
10×difference-of-squares
9×associate-/l*
5×add-cbrt-cube add-exp-log distribute-lft-out--
4×pow1 sqrt-div
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp fma-udef div-inv
Counts
3 → 88
Calls
3 calls:
11.0ms
(sqrt (- a (/ 1.0 3.0)))
0.0ms
(fma rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) (- a (/ 1.0 3.0)))
16.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)

series181.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(sqrt (- a (/ 1.0 3.0)))
65.0ms
(fma rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) (- a (/ 1.0 3.0)))
74.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)

simplify873.0ms

Counts
97 → 97
Iterations
IterNodes
done5000
21081
1341
0173

prune491.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
467×times-frac
369×add-sqr-sqrt
294×*-un-lft-identity
237×add-cube-cbrt
156×sqrt-prod
104×fma-def
52×difference-of-squares
42×associate-/r*
41×associate-+r+
39×prod-diff
27×distribute-lft-out--
19×associate-/r/
18×sqrt-div
13×div-inv
11×add-cbrt-cube add-exp-log
10×flip3-- flip--
9×add-log-exp
6×associate-/l*
5×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
2×clear-num sum-log frac-2neg frac-add distribute-lft-out
1×+-commutative rem-sqrt-square associate-+r- sub-neg sqrt-pow1 flip3-+ distribute-rgt-out pow1/2 diff-log flip-+
Counts
4 → 396
Calls
4 calls:
11.0ms
(sqrt (- a (/ 1.0 3.0)))
99.0ms
(+ (/ rand (/ 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
18.0ms
(/ rand (/ 3 (sqrt (- a (/ 1.0 3.0)))))
12.0ms
(/ 3 (sqrt (- a (/ 1.0 3.0))))

series376.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (- a (/ 1.0 3.0)))
74.0ms
(+ (/ rand (/ 3 (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
116.0ms
(/ rand (/ 3 (sqrt (- a (/ 1.0 3.0)))))
140.0ms
(/ 3 (sqrt (- a (/ 1.0 3.0))))

simplify1.1s

Counts
408 → 408
Iterations
IterNodes
done5000
11466
0557

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite516.0ms

Algorithm
rewrite-expression-head
Rules
15104×times-frac
11727×sqrt-prod
8814×add-sqr-sqrt
6729×*-un-lft-identity
5339×add-cube-cbrt
1390×difference-of-squares
695×distribute-lft-out--
501×sqrt-div associate-/r/
270×div-inv
231×flip3-- flip--
122×associate-/l*
90×associate-/r*
15×add-cbrt-cube add-exp-log
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 4511
Calls
4 calls:
17.0ms
(/ rand (sqrt (/ 3 (sqrt (- a (/ 1.0 3.0))))))
21.0ms
(/ 3 (sqrt (- a (/ 1.0 3.0))))
19.0ms
(/ 3 (sqrt (- a (/ 1.0 3.0))))
38.0ms
(/ (/ rand (sqrt (/ 3 (sqrt (- a (/ 1.0 3.0)))))) (sqrt (/ 3 (sqrt (- a (/ 1.0 3.0))))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
348.0ms
(/ rand (sqrt (/ 3 (sqrt (- a (/ 1.0 3.0))))))
101.0ms
(/ 3 (sqrt (- a (/ 1.0 3.0))))
96.0ms
(/ 3 (sqrt (- a (/ 1.0 3.0))))
265.0ms
(/ (/ rand (sqrt (/ 3 (sqrt (- a (/ 1.0 3.0)))))) (sqrt (/ 3 (sqrt (- a (/ 1.0 3.0))))))

simplify7.7s

Counts
4523 → 4523
Iterations
IterNodes
done5041
05041

prune33.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes168.0ms

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
216
115
012

end0.0ms

sample6.4s

Algorithm
intervals
Results
4.3s27169×body80nan
1.2s9178×body80valid