Details

Time bar (total: 2.9m)

sample186.0ms

Algorithm
intervals
Results
125.0ms917×body80nan
32.0ms290×body80valid

simplify236.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
236.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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)))

rewrite123.0ms

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
44.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
43.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
21.0ms
(* 9 (- a (/ 1.0 3.0)))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
98.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
82.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
78.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
58.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify11.9s

Counts
141 → 156
Calls
141 calls:
Slowest
428.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
368.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
337.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
334.0ms
(* (* (* 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)))))))
329.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (- a (/ 1.0 3.0))) 3)
0.2b
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
0.0b
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
0.0b
(sqrt (- a (/ 1.0 3.0)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
34×*-un-lft-identity
32×times-frac
30×sqrt-prod
24×add-cube-cbrt
20×add-exp-log
15×add-cbrt-cube
10×pow1 difference-of-squares
9×prod-exp associate-/l* add-log-exp
5×cbrt-unprod distribute-lft-out--
4×sqrt-div insert-posit16
3×associate-/r* flip3-- div-exp associate-*l* pow-prod-down associate-*l/ associate-*r/ flip--
2×cbrt-undiv associate-+r+ sum-log 1-exp frac-add associate-/l/
1×+-commutative rem-sqrt-square clear-num associate-+r- sub-neg frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log associate-*r* *-commutative flip-+ div-inv
Counts
4 → 115
Calls
4 calls:
Slowest
46.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
32.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
13.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
7.0ms
(sqrt (- a (/ 1.0 3.0)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
61.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
58.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
42.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify6.5s

Counts
111 → 127
Calls
111 calls:
Slowest
498.0ms
(* (* (* rand rand) rand) (* (/ (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))) (* (* 3 3) 3)) (* (* 1 1) 1)))
346.0ms
(- (+ (sqrt (- 0.3333333333333333)) (* 1/2 (/ a (sqrt (- 0.3333333333333333))))) (* 1/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
289.0ms
(* (* (* rand rand) rand) (* (* (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1) (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)))
285.0ms
(+ (* (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) (+ a (/ 1.0 3.0))) (* 3 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
282.0ms
(* (* (* rand rand) rand) (* (* (* (/ (sqrt (- a (/ 1.0 3.0))) 3) (/ (sqrt (- a (/ 1.0 3.0))) 3)) (/ (sqrt (- a (/ 1.0 3.0))) 3)) (* (* 1 1) 1)))

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
1652×times-frac
1584×add-sqr-sqrt
954×*-un-lft-identity
854×sqrt-prod
550×add-cube-cbrt
404×difference-of-squares
366×associate-*r*
202×distribute-lft-out--
46×associate-/l*
22×div-inv
20×add-cbrt-cube add-exp-log
15×associate-/r*
9×add-log-exp
7×cbrt-undiv div-exp unswap-sqr
6×pow1
4×flip3-- sqrt-div associate-/r/ insert-posit16 flip--
3×div-sub associate-*l* prod-exp associate-*r/ cbrt-unprod associate-/l/
2×associate-+r+ clear-num sum-log frac-2neg frac-add
1×+-commutative associate-+r- sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+
Counts
4 → 903
Calls
4 calls:
Slowest
66.0ms
(* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))))
28.0ms
(+ (* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
27.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9))
24.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
112.0ms
(* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))))
102.0ms
(+ (* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
81.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
45.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9))

simplify2.0m

Counts
1274 → 915
Calls
1274 calls:
Slowest
553.0ms
(/ (sqrt (/ (- a (/ 1.0 3.0)) (sqrt 9))) (sqrt (sqrt (- a (/ 1.0 3.0)))))
454.0ms
(/ (/ 1 (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
430.0ms
(+ (log rand) (- (log (/ (- a (/ 1.0 3.0)) (sqrt 9))) (log (sqrt (- a (/ 1.0 3.0))))))
401.0ms
(/ (/ 1 (sqrt (sqrt 9))) (sqrt (+ (sqrt a) (sqrt (/ 1.0 3.0)))))
400.0ms
(/ (/ (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0)))) (* (cbrt (sqrt 9)) (cbrt (sqrt 9)))) (* (cbrt (sqrt (- a (/ 1.0 3.0)))) (cbrt (sqrt (- a (/ 1.0 3.0))))))

prune12.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 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))))) rand)
0.2b
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

rewrite195.0ms

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
86.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
55.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
37.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series510.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
245.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
94.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
86.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
85.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify13.6s

Counts
114 → 140
Calls
114 calls:
Slowest
684.0ms
(* (* (* (/ 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
(* (+ a (/ 1.0 3.0)) (- 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
436.0ms
(- (* 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))))))
413.0ms
(/ 1 (sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))))
386.0ms
(* (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))) (- 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
4.3s28027×body80nan
1.3s9213×body80valid