Details

Time bar (total: 1.2m)

sample195.0ms

Algorithm
intervals
Results
122.0ms804×body80nan
41.0ms292×body80valid

simplify220.0ms

Calls
1 calls:
Slowest
219.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
0.2b
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite136.0ms

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
Calls
4 calls:
Slowest
66.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
39.0ms
(* 9 (- a (/ 1.0 3.0)))
21.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
6.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series361.0ms

Calls
4 calls:
Slowest
135.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
85.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
73.0ms
(* 9 (- a (/ 1.0 3.0)))
69.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify12.9s

Calls
141 calls:
Slowest
486.0ms
(sqrt (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
437.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
384.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
382.0ms
(sqrt (* 9 (- (pow a 3) (pow (/ 1.0 3.0) 3))))
379.0ms
(* (* (* 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)))))))

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

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
Calls
4 calls:
Slowest
79.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
39.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
14.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
7.0ms
(sqrt (- a (/ 1.0 3.0)))

series290.0ms

Calls
4 calls:
Slowest
118.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
68.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
65.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
39.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify7.5s

Calls
111 calls:
Slowest
470.0ms
(* (* (* 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)))
388.0ms
(- (+ (sqrt (- 0.3333333333333333)) (* 1/2 (/ a (sqrt (- 0.3333333333333333))))) (* 1/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
381.0ms
(+ (* (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) (+ a (/ 1.0 3.0))) (* 3 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
361.0ms
(* (exp (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))) (/ (exp a) (exp (/ 1.0 3.0))))
329.0ms
(* 3 (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
0.3b
(* rand (/ 1 (sqrt 9)))
0.0b
(sqrt (- a (/ 1.0 3.0)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
243×add-sqr-sqrt
163×times-frac
133×*-un-lft-identity
95×sqrt-prod
82×associate-*r*
66×difference-of-squares
65×add-cube-cbrt
50×add-exp-log
33×distribute-lft-out--
32×add-cbrt-cube
22×prod-exp
15×pow1
12×div-exp cbrt-unprod
9×associate-/r*
7×cbrt-undiv
6×sqrt-div associate-/l*
5×unswap-sqr
4×flip3-- associate-*l* pow-prod-down associate-*r/ associate-/r/ insert-posit16 flip-- add-log-exp
3×rec-exp 1-exp un-div-inv div-inv
2×frac-times sqrt-pow1 pow1/2 associate-*l/ *-commutative pow-div associate-/l/
1×rem-sqrt-square clear-num frac-2neg div-sub
Calls
4 calls:
Slowest
68.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
27.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
13.0ms
(* rand (/ 1 (sqrt 9)))
9.0ms
(sqrt (- a (/ 1.0 3.0)))

series305.0ms

Calls
4 calls:
Slowest
157.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
71.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
48.0ms
(sqrt (- a (/ 1.0 3.0)))
28.0ms
(* rand (/ 1 (sqrt 9)))

simplify18.8s

Calls
282 calls:
Slowest
536.0ms
(/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
523.0ms
(* (* (* (* rand (/ 1 (sqrt 9))) (* rand (/ 1 (sqrt 9)))) (* rand (/ 1 (sqrt 9)))) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
480.0ms
(* (* (* (* rand rand) rand) (/ (* (* 1 1) 1) (* (* (sqrt 9) (sqrt 9)) (sqrt 9)))) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
455.0ms
(/ (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0)))))
401.0ms
(- (+ (sqrt (- 0.3333333333333333)) (* 1/2 (/ a (sqrt (- 0.3333333333333333))))) (* 1/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))

prune3.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
0.0b
(sqrt (- a (/ 1.0 3.0)))
0.0b
(+ (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
243×add-sqr-sqrt
157×times-frac
124×*-un-lft-identity
86×sqrt-prod
66×difference-of-squares
60×associate-*r*
58×add-cube-cbrt
33×distribute-lft-out--
18×add-cbrt-cube add-exp-log
13×associate-*l*
10×pow1
9×associate-/r* add-log-exp
7×flip3-- flip--
6×sqrt-div frac-add associate-/l* unswap-sqr
5×cbrt-undiv div-exp
4×prod-exp associate-/r/ cbrt-unprod insert-posit16
3×frac-times associate-*l/ associate-*r/ div-inv
2×associate-+r+ sum-log sqrt-pow1 pow1/2 pow-div associate-/l/
1×+-commutative rem-sqrt-square clear-num associate-+r- sub-neg frac-2neg flip3-+ diff-log div-sub pow-prod-down *-commutative flip-+
Calls
4 calls:
Slowest
56.0ms
(* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
45.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
29.0ms
(+ (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
7.0ms
(sqrt (- a (/ 1.0 3.0)))

series379.0ms

Calls
4 calls:
Slowest
141.0ms
(* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
123.0ms
(+ (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
65.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
49.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify18.1s

Calls
267 calls:
Slowest
535.0ms
(/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
365.0ms
(* (* (* (/ rand 3) (/ rand 3)) (/ rand 3)) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
364.0ms
(- (+ (sqrt (- 0.3333333333333333)) (* 1/2 (/ a (sqrt (- 0.3333333333333333))))) (* 1/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
355.0ms
(* (* 3 (sqrt (- a (/ 1.0 3.0)))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))
347.0ms
(+ (* (* rand (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0))))) (* 3 (- (pow a 3) (pow (/ 1.0 3.0) 3))))

prune2.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample6.7s

Algorithm
intervals
Results
4.3s27078×body80nan
1.8s9094×body80valid