Details

Time bar (total: 21.3s)

sample101.0ms

Algorithm
intervals
Results
46.0ms983×body80nan
27.0ms297×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5000
52234
4794
3241
280
130
014

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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:
25.0ms
(* 9 (- a (/ 1.0 3.0)))
0.0ms
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
30.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
15.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series396.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* 9 (- a (/ 1.0 3.0)))
124.0ms
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
100.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
88.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify2.3s

Counts
201 → 201
Iterations
IterNodes
done5000
22455
1953
0432

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(fma (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) rand (- a (/ 1.0 3.0)))
0.2b
(/ (sqrt (- a (/ 1.0 3.0))) 3)

rewrite33.0ms

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:
12.0ms
(sqrt (- a (/ 1.0 3.0)))
0.0ms
(fma (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) rand (- a (/ 1.0 3.0)))
19.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)

series271.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sqrt (- a (/ 1.0 3.0)))
112.0ms
(fma (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) rand (- a (/ 1.0 3.0)))
93.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)

simplify2.1s

Counts
97 → 97
Iterations
IterNodes
done5003
32273
2805
1350
0176

prune470.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(fma (/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
0.2b
(/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0)))))
0.2b
(* 3 (sqrt (- a (/ 1.0 3.0))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
18×*-un-lft-identity
13×sqrt-prod
11×add-cbrt-cube add-exp-log
10×times-frac add-cube-cbrt
9×associate-*r*
8×difference-of-squares
7×pow1
6×sqrt-div associate-/l*
4×expm1-log1p-u flip3-- associate-*r/ insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod unswap-sqr associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative fma-udef div-inv
Counts
4 → 97
Calls
4 calls:
11.0ms
(sqrt (- a (/ 1.0 3.0)))
0.0ms
(fma (/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
39.0ms
(/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0)))))
29.0ms
(* 3 (sqrt (- a (/ 1.0 3.0))))

series357.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(sqrt (- a (/ 1.0 3.0)))
117.0ms
(fma (/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
103.0ms
(/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0)))))
84.0ms
(* 3 (sqrt (- a (/ 1.0 3.0))))

simplify1.9s

Counts
109 → 109
Iterations
IterNodes
done5001
21578
1490
0196

prune545.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
16×*-un-lft-identity
14×sqrt-prod
13×times-frac associate-*l*
12×add-cube-cbrt
9×associate-*r*
7×add-cbrt-cube add-exp-log
6×sqrt-div
5×pow1
4×difference-of-squares unswap-sqr
3×flip3-- flip--
2×expm1-log1p-u frac-times prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 68
Calls
2 calls:
23.0ms
(sqrt (- a (/ 1.0 3.0)))
36.0ms
(* (/ rand 3) (sqrt (- a (/ 1.0 3.0))))

series185.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(sqrt (- a (/ 1.0 3.0)))
120.0ms
(* (/ rand 3) (sqrt (- a (/ 1.0 3.0))))

simplify2.8s

Counts
74 → 74
Iterations
IterNodes
done5003
34001
21181
1399
0168

prune349.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.9s26912×body80nan
721.0ms9127×body80valid