Details

Time bar (total: 24.9s)

sample143.0ms

Algorithm
intervals
Results
93.0ms914×body80nan
23.0ms282×body80valid

simplify3.5s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

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:
44.0ms
(* 9 (- a (/ 1.0 3.0)))
23.0ms
(sqrt (* 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)))
32.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))

series328.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 9 (- a (/ 1.0 3.0)))
89.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
98.0ms
(fma (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand (- a (/ 1.0 3.0)))
88.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify2.2s

Counts
201 → 201
Iterations
IterNodes
done5000
22425
1953
0432

prune826.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.1b
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) rand (- a (/ 1.0 3.0)))
0.3b
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
0.3b
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
196×add-sqr-sqrt
133×*-un-lft-identity
91×add-cube-cbrt
42×difference-of-squares
36×associate-/r*
32×sqrt-prod
21×distribute-lft-out--
17×add-exp-log
11×add-cbrt-cube associate-/r/
8×pow1 div-exp
7×flip3-- flip-- associate-/l*
6×div-inv
4×expm1-log1p-u cbrt-undiv sqrt-div associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg sqrt-pow1 1-exp associate-/l/
1×pow1/2 pow-prod-down fma-udef pow-flip inv-pow
Counts
4 → 227
Calls
4 calls:
15.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.0ms
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) rand (- a (/ 1.0 3.0)))
35.0ms
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
25.0ms
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))

series382.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
111.0ms
(fma (/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))) rand (- a (/ 1.0 3.0)))
130.0ms
(/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)))
82.0ms
(/ 1 (/ (sqrt (* 9 (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0))))

simplify2.5s

Counts
239 → 239
Iterations
IterNodes
done5001
22683
1949
0386

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
0.3b
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×*-un-lft-identity times-frac
24×associate-*l* add-cube-cbrt
19×add-exp-log
15×pow1
13×add-cbrt-cube
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
5×prod-exp
4×expm1-log1p-u frac-times associate-/r* sqrt-pow1 div-exp pow-prod-down associate-/r/ insert-posit16 log1p-expm1-u pow-flip add-log-exp unswap-sqr
3×flip3-+ associate-*l/ cbrt-unprod flip-+ associate-/l*
2×cbrt-undiv rec-exp pow1/2 1-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in distribute-lft-out-- inv-pow
Counts
4 → 136
Calls
4 calls:
19.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
29.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
99.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
19.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series484.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
106.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
189.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
94.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify2.3s

Counts
148 → 148
Iterations
IterNodes
done5001
22680
1802
0289

prune692.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9)
0.1b
(sqrt (* (- a (/ 1.0 3.0)) 9))
0.2b
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9)))
7.0b
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9))) (- a (/ 1.0 3.0)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
96×*-un-lft-identity
92×add-cube-cbrt
81×times-frac
78×prod-diff
41×distribute-rgt-in distribute-lft-in
24×associate-*l*
13×add-cbrt-cube add-exp-log
11×pow1
9×associate-*r* associate-*l/
8×sqrt-prod div-inv
6×flip3-- sqrt-div flip--
4×expm1-log1p-u associate-/r* associate-/r/ insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×pow-prod-down prod-exp cbrt-unprod associate-/l* unswap-sqr
2×frac-times cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*r/ *-commutative distribute-lft-out--
1×clear-num frac-2neg pow1/2
Counts
4 → 207
Calls
4 calls:
31.0ms
(* (- a (/ 1.0 3.0)) 9)
19.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))
23.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9)))
78.0ms
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9))) (- a (/ 1.0 3.0)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (- a (/ 1.0 3.0)) 9)
84.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))
154.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9)))
128.0ms
(* (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9))) (- a (/ 1.0 3.0)))

simplify2.3s

Counts
219 → 219
Iterations
IterNodes
done5000
24151
11374
0475

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes142.0ms

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
done15
115
012

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.9s27682×body80nan
1.2s9061×body80valid