Details

Time bar (total: 25.9s)

sample155.0ms

Algorithm
intervals
Results
86.0ms1060×body80nan
20.0ms300×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
72025
61131
5730
4405
3185
272
127
013

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×associate-*l* add-cube-cbrt
13×add-cbrt-cube add-exp-log
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 clear-num frac-2neg distribute-lft-in pow1/2 distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
79.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
18.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
26.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
69.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

series803.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
113.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
209.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
274.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

simplify2.3s

Counts
126 → 126
Iterations
IterNodes
done5025
23330
1857
0303

prune915.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
4.9b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
24×associate-*l*
23×add-cube-cbrt
20×add-cbrt-cube add-exp-log
14×pow1
8×sqrt-prod
7×prod-exp associate-*r/ cbrt-unprod
6×sqrt-div associate-*l/
5×flip3-- pow-prod-down flip--
4×associate-/r* associate-*r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×clear-num frac-2neg pow1/2 distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
10.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
13.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
61.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
238.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series849.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
237.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
272.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
224.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify2.3s

Counts
123 → 123
Iterations
IterNodes
done5000
22847
1767
0291

prune878.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
0.2b
(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
4.9b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand))

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt add-cbrt-cube add-exp-log
21×associate-*l*
18×*-un-lft-identity
15×pow1
14×prod-exp add-cube-cbrt cbrt-unprod
13×associate-*r* sqrt-prod
8×times-frac
7×pow-prod-down associate-*r/
6×cbrt-undiv sqrt-div div-exp associate-*l/
5×flip3-- flip-- unswap-sqr
4×associate-/r/ add-log-exp difference-of-squares
3×*-commutative associate-/l*
2×frac-times sqrt-pow1 pow1/2 div-inv distribute-lft-out--
1×clear-num associate-/r* frac-2neg sqrt-unprod
Counts
4 → 117
Calls
4 calls:
17.0ms
(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
77.0ms
(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
47.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
242.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand))

series995.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
345.0ms
(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
135.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
287.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand))

simplify2.1s

Counts
129 → 129
Iterations
IterNodes
done5004
23265
1800
0290

prune826.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.0b
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0))
0.2b
(* (/ (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b
(/ (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
324×times-frac
229×add-sqr-sqrt
196×sqrt-prod
154×*-un-lft-identity
110×add-cube-cbrt
96×associate-*l*
44×difference-of-squares
32×add-cbrt-cube add-exp-log
22×div-inv distribute-lft-out--
15×associate-/r*
12×cbrt-undiv div-exp
11×associate-/l*
7×pow1 prod-exp cbrt-unprod
6×sqrt-div
4×flip3-- associate-/r/ flip-- add-log-exp
3×associate-*r* associate-*l/ unswap-sqr associate-/l/
2×clear-num frac-2neg
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative
Counts
4 → 295
Calls
4 calls:
24.0ms
(sqrt (- a (/ 1.0 3.0)))
17.0ms
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0))
150.0ms
(* (/ (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
69.0ms
(/ (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series709.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (- a (/ 1.0 3.0)))
144.0ms
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0))
298.0ms
(* (/ (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
224.0ms
(/ (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify2.3s

Counts
307 → 307
Iterations
IterNodes
done5011
23987
11116
0414

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.8s27800×body80nan
692.0ms9071×body80valid