Details

Time bar (total: 3.5m)

sample210.0ms

Algorithm
intervals
Results
138.0ms874×body80nan
36.0ms289×body80valid

simplify270.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
269.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite444.0ms

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
341.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
64.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
28.0ms
(* 9 (- a (/ 1.0 3.0)))
6.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series322.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
86.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
76.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
59.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify12.5s

Counts
141 → 156
Calls
141 calls:
Slowest
455.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
352.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
337.0ms
(* (* (* 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)))))))
312.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
311.0ms
(sqrt (* 9 (- (pow a 3) (pow (/ 1.0 3.0) 3))))

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (- a (/ 1.0 3.0))) 3)
0.3b
(* 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)))

rewrite127.0ms

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
64.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
34.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
14.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
12.0ms
(sqrt (- a (/ 1.0 3.0)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
101.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
85.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
80.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
43.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify7.7s

Counts
111 → 127
Calls
111 calls:
Slowest
568.0ms
(* (* (* 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)))
401.0ms
(+ (* (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) (+ a (/ 1.0 3.0))) (* 3 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
391.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
376.0ms
(- (+ (sqrt (- 0.3333333333333333)) (* 1/2 (/ a (sqrt (- 0.3333333333333333))))) (* 1/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
326.0ms
(* 3 (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite228.0ms

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
85.0ms
(* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))))
51.0ms
(+ (* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
32.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
15.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9))

series403.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))))
110.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
92.0ms
(+ (* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
47.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9))

simplify1.9m

Counts
1274 → 915
Calls
1274 calls:
Slowest
491.0ms
(/ (/ (sqrt (- a (/ 1.0 3.0))) (sqrt (cbrt 9))) (sqrt (cbrt (- a (/ 1.0 3.0)))))
488.0ms
(/ (/ 1 (* (cbrt (sqrt 9)) (cbrt (sqrt 9)))) (* (cbrt (sqrt (- a (/ 1.0 3.0)))) (cbrt (sqrt (- a (/ 1.0 3.0))))))
471.0ms
(/ (/ (* (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))))))
398.0ms
(+ (log rand) (- (log (/ (- a (/ 1.0 3.0)) (sqrt 9))) (log (sqrt (- a (/ 1.0 3.0))))))
380.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))

prune12.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
0.3b
(/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3)
0.3b
(* rand (* 1 (/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3)))
0.0b
(+ (* rand (* 1 (/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3))) (- a (/ 1.0 3.0)))

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
563×add-sqr-sqrt
527×times-frac
332×*-un-lft-identity
186×sqrt-prod
178×add-cube-cbrt
154×difference-of-squares
77×distribute-lft-out--
66×associate-/l*
34×add-exp-log
25×add-cbrt-cube
13×prod-exp
12×pow1 associate-/r*
10×sqrt-div div-exp associate-/r/
9×add-log-exp
7×cbrt-undiv flip3-- cbrt-unprod flip--
6×associate-*r/ div-inv
4×insert-posit16
3×1-exp div-sub associate-*l* pow-prod-down associate-/l/
2×associate-+r+ clear-num sum-log frac-2neg frac-add pow-div
1×+-commutative associate-+r- sub-neg sqrt-pow1 flip3-+ pow1/2 diff-log associate-*r* *-commutative flip-+
Counts
4 → 394
Calls
4 calls:
Slowest
95.0ms
(+ (* rand (* 1 (/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3))) (- a (/ 1.0 3.0)))
77.0ms
(* rand (* 1 (/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3)))
56.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3)
45.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(* rand (* 1 (/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3)))
102.0ms
(+ (* rand (* 1 (/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3))) (- a (/ 1.0 3.0)))
98.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3)
56.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

simplify47.3s

Counts
596 → 406
Calls
596 calls:
Slowest
736.0ms
(* rand (* 1 (/ (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) 3)))
617.0ms
(/ (* (* (- 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)))))
532.0ms
(+ (log rand) (+ 0 (- (log (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (log 3))))
481.0ms
(/ (/ (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0)))) (* (cbrt (sqrt (- a (/ 1.0 3.0)))) (cbrt (sqrt (- a (/ 1.0 3.0)))))) (* (cbrt 3) (cbrt 3)))
403.0ms
(+ (log rand) (+ (log 1) (- (- (log (- a (/ 1.0 3.0))) (log (sqrt (- a (/ 1.0 3.0))))) (log 3))))

prune4.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample7.0s

Algorithm
intervals
Results
4.0s27096×body80nan
1.9s9129×body80valid