Details

Time bar (total: 39.6s)

sample210.0ms

Algorithm
intervals
Results
133.0ms804×body80nan
41.0ms292×body80valid

simplify207.0ms

Calls
1 calls:
Slowest
207.0ms
(* (- 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

localize23.0ms

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)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×associate-*r*
9×associate-*r/
8×sqrt-prod
6×add-cbrt-cube sqrt-div add-exp-log
5×flip3-- flip--
4×pow1 associate-/r* associate-/r/ insert-posit16 add-log-exp
3×associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg pow1/2 div-sub div-exp
Calls
4 calls:
Slowest
4.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
3.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
2.0ms
(* 9 (- a (/ 1.0 3.0)))
1.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series345.0ms

Calls
4 calls:
Slowest
128.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
92.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
70.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
56.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify6.2s

Calls
80 calls:
Slowest
463.0ms
(- (+ (* 1/3 (* (sqrt (- 0.3333333333333333)) rand)) (* 1/6 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
243.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
212.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
194.0ms
(- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))
180.0ms
(- (pow a 3) (pow (/ 1.0 3.0) 3))

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×sqrt-prod associate-/l* add-log-exp
4×pow1 add-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- associate-*l/ associate-*r/ flip--
2×associate-+r+ frac-add associate-/l/
1×+-commutative rem-sqrt-square clear-num associate-+r- sum-log sub-neg frac-2neg flip3-+ pow1/2 associate-*r* *-commutative flip-+ div-inv
Calls
4 calls:
Slowest
9.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
3.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
3.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
1.0ms
(sqrt (- a (/ 1.0 3.0)))

series322.0ms

Calls
4 calls:
Slowest
114.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
79.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
74.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
55.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify3.2s

Calls
33 calls:
Slowest
395.0ms
(- (+ (* 1/3 (* (sqrt (- 0.3333333333333333)) rand)) (* 1/6 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
372.0ms
(sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3)))
367.0ms
(sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3)))
355.0ms
(+ (* (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) (+ a (/ 1.0 3.0))) (* 3 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
335.0ms
(* 3 (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))

prune733.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

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)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt
34×*-un-lft-identity add-cube-cbrt
28×associate-*r*
24×sqrt-prod
11×add-cbrt-cube add-exp-log
7×pow1
6×associate-/r* sqrt-div
4×flip3-- associate-*r/ associate-/r/ insert-posit16 flip-- add-log-exp
3×un-div-inv div-inv associate-/l*
2×frac-times cbrt-undiv pow1/2 div-exp associate-*l/ prod-exp *-commutative cbrt-unprod associate-/l/
1×rem-sqrt-square clear-num frac-2neg div-sub associate-*l* pow-prod-down pow-div
Calls
4 calls:
Slowest
7.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
5.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
1.0ms
(* rand (/ 1 (sqrt 9)))
1.0ms
(sqrt (- a (/ 1.0 3.0)))

series306.0ms

Calls
4 calls:
Slowest
160.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
68.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
54.0ms
(sqrt (- a (/ 1.0 3.0)))
24.0ms
(* rand (/ 1 (sqrt 9)))

simplify7.4s

Calls
113 calls:
Slowest
478.0ms
(/ (* (* (- 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)))))
472.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (sqrt (- a (/ 1.0 3.0)))))
467.0ms
(- (+ (* 1/3 (* (sqrt (- 0.3333333333333333)) rand)) (* 1/6 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
415.0ms
(* (* (* (* 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))))))
332.0ms
(+ (log (* rand (/ 1 (sqrt 9)))) (- (log (- a (/ 1.0 3.0))) (log (sqrt (- a (/ 1.0 3.0))))))

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt
34×*-un-lft-identity add-cube-cbrt
24×associate-*r* sqrt-prod
11×add-cbrt-cube add-exp-log
7×pow1 flip3-- flip--
6×associate-/r* sqrt-div frac-add add-log-exp
4×associate-*l* associate-/r/ insert-posit16
3×frac-times associate-*l/ associate-*r/ div-inv associate-/l*
2×cbrt-undiv associate-+r+ pow1/2 div-exp prod-exp cbrt-unprod associate-/l/
1×+-commutative rem-sqrt-square clear-num associate-+r- sum-log sub-neg frac-2neg flip3-+ div-sub pow-prod-down *-commutative flip-+ pow-div
Calls
4 calls:
Slowest
14.0ms
(+ (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
13.0ms
(* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
8.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
1.0ms
(sqrt (- a (/ 1.0 3.0)))

series381.0ms

Calls
4 calls:
Slowest
134.0ms
(* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
112.0ms
(+ (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
75.0ms
(sqrt (- a (/ 1.0 3.0)))
60.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

simplify9.6s

Calls
122 calls:
Slowest
497.0ms
(- (+ (* 1/3 (* (sqrt (- 0.3333333333333333)) rand)) (* 1/6 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
453.0ms
(/ (* (* (- 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)))))
410.0ms
(sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3)))
344.0ms
(* (sqrt (- a (/ 1.0 3.0))) (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))
329.0ms
(* (exp (* (/ rand 3) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))) (exp (- a (/ 1.0 3.0))))

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample6.6s

Algorithm
intervals
Results
4.7s27078×body80nan
1.3s9094×body80valid