Details

Time bar (total: 1.4m)

sample212.0ms

Algorithm
intervals
Results
133.0ms973×body80nan
37.0ms293×body80valid

simplify251.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
251.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.2b
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
59×times-frac
50×*-un-lft-identity
36×associate-*r*
30×add-cube-cbrt
20×difference-of-squares
14×sqrt-prod
13×add-cbrt-cube add-exp-log
11×pow1
10×distribute-lft-out--
9×associate-*r/
6×sqrt-div associate-*l* associate-/l*
5×flip3-- flip--
4×associate-/r* associate-/r/ insert-posit16 add-log-exp
3×pow-prod-down prod-exp cbrt-unprod unswap-sqr
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in sqrt-pow1 div-exp *-commutative div-inv associate-/l/
1×clear-num frac-2neg pow1/2 div-sub
Counts
4 → 144
Calls
4 calls:
Slowest
55.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
36.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
27.0ms
(* 9 (- a (/ 1.0 3.0)))
12.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
165.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
98.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
83.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
80.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify13.1s

Counts
141 → 156
Calls
141 calls:
Slowest
446.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
424.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
373.0ms
(* (* (* rand rand) rand) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (sqrt (* 9 (- a (/ 1.0 3.0)))))))
363.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
341.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
283×add-sqr-sqrt
224×sqrt-prod
195×*-un-lft-identity
193×times-frac
84×difference-of-squares
75×add-cube-cbrt
34×associate-*r*
32×distribute-lft-out--
28×distribute-lft-out
16×associate-/l*
15×associate-/r*
13×add-cbrt-cube add-exp-log
6×pow1 add-log-exp
4×insert-posit16 associate-/l/
3×cbrt-undiv div-exp associate-*l* div-inv unswap-sqr
2×clear-num frac-2neg flip3-+ flip3-- sqrt-div prod-exp associate-/r/ cbrt-unprod flip-+ flip--
1×+-commutative sum-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 262
Calls
4 calls:
Slowest
60.0ms
(* rand (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9)))
57.0ms
(/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9))
54.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
15.0ms
(+ (sqrt a) (sqrt (/ 1.0 3.0)))

series508.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
258.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
111.0ms
(* rand (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9)))
91.0ms
(/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9))
48.0ms
(+ (sqrt a) (sqrt (/ 1.0 3.0)))

simplify13.4s

Counts
360 → 274
Calls
360 calls:
Slowest
455.0ms
(* (* (* rand rand) rand) (* (* (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9)) (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9))) (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9))))
324.0ms
(+ (pow (sqrt a) 3) (pow (sqrt (/ 1.0 3.0)) 3))
248.0ms
(/ (* (* (- (sqrt a) (sqrt (/ 1.0 3.0))) (- (sqrt a) (sqrt (/ 1.0 3.0)))) (- (sqrt a) (sqrt (/ 1.0 3.0)))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
239.0ms
(- (pow (sqrt a) 3) (pow (sqrt (/ 1.0 3.0)) 3))
205.0ms
(/ (* (* (+ (sqrt a) (sqrt (/ 1.0 3.0))) (+ (sqrt a) (sqrt (/ 1.0 3.0)))) (+ (sqrt a) (sqrt (/ 1.0 3.0)))) (* (* (sqrt 9) (sqrt 9)) (sqrt 9)))

prune4.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0)))))
0.3b
(* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0))))
0.2b
(* rand (/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0))))))
0.1b
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
281×add-sqr-sqrt
175×sqrt-prod
148×times-frac
120×*-un-lft-identity
96×difference-of-squares
46×add-cube-cbrt
37×distribute-lft-out--
23×associate-*r*
22×add-cbrt-cube add-exp-log
17×associate-/l*
10×associate-/r*
9×associate-*l*
8×pow1
7×associate-*r/
6×flip3-- prod-exp associate-/r/ cbrt-unprod flip--
5×cbrt-undiv div-exp
4×insert-posit16 add-log-exp associate-/l/
3×div-inv unswap-sqr
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in sqrt-div div-sub pow-prod-down *-commutative
Counts
4 → 240
Calls
4 calls:
Slowest
74.0ms
(* rand (/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0))))))
42.0ms
(* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0))))
42.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
34.0ms
(/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
739.0ms
(/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0)))))
502.0ms
(* rand (/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0))))))
278.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
105.0ms
(* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0))))

simplify18.4s

Counts
314 → 252
Calls
314 calls:
Slowest
943.0ms
(* (* (* rand rand) rand) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0)))) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0))))) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0)))))))
573.0ms
(* (* (* rand rand) rand) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (* (sqrt 9) (sqrt 9)) (sqrt 9)) (* (* (- (sqrt a) (sqrt (/ 1.0 3.0))) (- (sqrt a) (sqrt (/ 1.0 3.0)))) (- (sqrt a) (sqrt (/ 1.0 3.0)))))))
564.0ms
(* (* (* (sqrt 9) (sqrt 9)) (sqrt 9)) (* (* (- (sqrt a) (sqrt (/ 1.0 3.0))) (- (sqrt a) (sqrt (/ 1.0 3.0)))) (- (sqrt a) (sqrt (/ 1.0 3.0)))))
445.0ms
(* (* (* rand rand) rand) (* (* (/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0))))) (/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0)))))) (/ (- a (/ 1.0 3.0)) (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0)))))))
440.0ms
(+ (log rand) (- (log (- a (/ 1.0 3.0))) (log (* (sqrt 9) (- (sqrt a) (sqrt (/ 1.0 3.0)))))))

prune3.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.2b
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.1b
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

rewrite167.0ms

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×frac-times associate-/r* sqrt-pow1 div-exp pow-prod-down associate-/r/ insert-posit16 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 → 128
Calls
4 calls:
Slowest
84.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
35.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
34.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
241.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
117.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
109.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
78.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify14.6s

Counts
114 → 140
Calls
114 calls:
Slowest
645.0ms
(* (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand) (- a (/ 1.0 3.0)))
641.0ms
(* (* (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))) (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))) (* (* rand rand) rand))
464.0ms
(* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (+ (pow 1 3) (pow (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand) 3)))
457.0ms
(- (* 1/3 (sqrt -3.0)) (+ (* 1.5 (/ a (sqrt -3.0))) (+ (* 4.5 (/ (pow a 2) (sqrt -3.0))) (* 3.375 (/ (pow a 2) (pow (sqrt -3.0) 3))))))
407.0ms
(* (+ a (/ 1.0 3.0)) (- 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes252.0ms

Accuracy

0% (0.1b remaining)

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

bsearch8.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.6s27088×body80nan
1.8s9131×body80valid