Details

Time bar (total: 19.7s)

sample101.0ms

Algorithm
intervals
Results
53.0ms813×body80nan
13.0ms296×body80valid

simplify1.8s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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

rewrite246.0ms

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:
100.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
12.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
22.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
105.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

series717.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
92.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
225.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
239.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

simplify1.4s

Counts
126 → 126

prune496.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.2b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
82×times-frac
70×*-un-lft-identity
61×associate-*l*
54×add-cube-cbrt
52×add-exp-log sqrt-prod
34×add-cbrt-cube
23×prod-exp
16×difference-of-squares
13×pow1 cbrt-unprod
12×div-exp
9×associate-/r*
8×distribute-lft-out--
7×cbrt-undiv associate-*r*
6×associate-*l/
5×frac-times flip3-- pow-prod-down flip--
4×sqrt-div associate-/r/ add-log-exp unswap-sqr
3×rec-exp flip3-+ 1-exp associate-*r/ *-commutative flip-+ div-inv associate-/l*
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 191
Calls
4 calls:
69.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
96.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
34.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
107.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series855.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
195.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
110.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
323.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify661.0ms

Counts
203 → 203

prune904.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.2b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
8.8b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
70×times-frac
60×*-un-lft-identity
49×sqrt-prod
44×add-cube-cbrt
39×associate-*l*
34×add-exp-log add-cbrt-cube
16×difference-of-squares
15×associate-/r*
12×prod-exp cbrt-unprod
11×pow1 associate-*l/
8×cbrt-undiv div-exp distribute-lft-out--
6×flip3-- flip--
5×associate-/l/
4×frac-times sqrt-div associate-*r* pow-prod-down associate-/r/ associate-/l* add-log-exp
3×div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num *-commutative
Counts
4 → 170
Calls
4 calls:
83.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
38.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
112.0ms
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
134.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series766.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
112.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
281.0ms
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
158.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify1.4s

Counts
182 → 182

prune787.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.2b
(/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))
0.3b
(/ (* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))) (sqrt 9.0))
8.8b
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
32×add-exp-log add-cbrt-cube
30×sqrt-prod
29×times-frac
27×*-un-lft-identity
17×add-cube-cbrt
15×associate-*r* associate-/r*
10×cbrt-undiv div-exp difference-of-squares
9×prod-exp cbrt-unprod
7×pow1 flip3-- flip--
6×sqrt-div associate-*l*
5×associate-/l/ distribute-lft-out--
4×frac-times associate-*l/ associate-/r/ add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num associate-/l*
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative unswap-sqr
Counts
4 → 131
Calls
4 calls:
17.0ms
(sqrt (- a (/ 1.0 3.0)))
40.0ms
(/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))
66.0ms
(/ (* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))) (sqrt 9.0))
135.0ms
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(sqrt (- a (/ 1.0 3.0)))
111.0ms
(/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))
252.0ms
(/ (* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))) (sqrt 9.0))
160.0ms
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))))

simplify1.4s

Counts
143 → 143

prune611.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes90.0ms

Accuracy

32.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.5s

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.4s26543×body80nan
655.0ms9119×body80valid