Details

Time bar (total: 3.5m)

sample192.0ms

Algorithm
intervals
Results
120.0ms820×body80nan
35.0ms290×body80valid

simplify229.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
229.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

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
85.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
50.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
34.0ms
(* 9 (- a (/ 1.0 3.0)))
15.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
87.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
77.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
75.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify13.7s

Counts
141 → 156
Calls
141 calls:
Slowest
537.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
391.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
349.0ms
(sqrt (* 9 (- (pow a 3) (pow (/ 1.0 3.0) 3))))
312.0ms
(* (* (* 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)))))))
303.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (- 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
(/ (- 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)))

rewrite269.0ms

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
83.0ms
(* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))))
67.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
59.0ms
(+ (* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
20.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9))

series462.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))))
128.0ms
(+ (* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
123.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
70.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9))

simplify2.1m

Counts
1274 → 915
Calls
1274 calls:
Slowest
663.0ms
(* (exp (* rand (/ (/ (- a (/ 1.0 3.0)) (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))))) (/ (exp a) (exp (/ 1.0 3.0))))
557.0ms
(/ (/ (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0)))) (* (cbrt (sqrt 9)) (cbrt (sqrt 9)))) (sqrt 1))
522.0ms
(/ (/ (- a (/ 1.0 3.0)) (sqrt (sqrt 9))) (cbrt (sqrt (- a (/ 1.0 3.0)))))
480.0ms
(/ (/ (* (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))))))
439.0ms
(* (* (* rand rand) rand) (/ (* (* (/ (- a (/ 1.0 3.0)) (sqrt 9)) (/ (- a (/ 1.0 3.0)) (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt 9))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))

prune13.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite435.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
72×sqrt-div
59×times-frac
50×*-un-lft-identity
45×associate-*r*
33×associate-*r/
30×add-cube-cbrt
25×flip3-- flip--
20×sqrt-prod difference-of-squares
17×pow1
16×frac-times add-cbrt-cube add-exp-log associate-/r/
10×distribute-lft-out--
8×associate-*l/
7×pow-prod-down
6×associate-/l*
5×prod-exp cbrt-unprod
4×associate-/r* associate-*l* insert-posit16 add-log-exp
3×sqrt-pow1
2×cbrt-undiv div-exp *-commutative div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg pow1/2 div-sub
Counts
4 → 168
Calls
4 calls:
Slowest
199.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))))
92.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
72.0ms
(sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
68.0ms
(* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
170.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))))
98.0ms
(sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
83.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
50.0ms
(* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))

simplify18.9s

Counts
168 → 180
Calls
168 calls:
Slowest
375.0ms
(* (* 9 (sqrt (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (- a (/ 1.0 3.0))))
366.0ms
(* (* 9 (sqrt (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3))))
362.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
359.0ms
(sqrt (* (* 9 (sqrt (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3)))))
358.0ms
(* (* (* rand rand) rand) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))) (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))) (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))))

prune2.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
297×add-sqr-sqrt
231×sqrt-prod
195×*-un-lft-identity times-frac
90×difference-of-squares
75×add-cube-cbrt
34×associate-*r* distribute-lft-out--
26×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 flip3-- div-exp associate-*l* div-inv flip-- unswap-sqr
2×clear-num frac-2neg sqrt-div prod-exp associate-/r/ cbrt-unprod
1×sub-neg flip3-+ diff-log div-sub pow-prod-down associate-*r/ *-commutative flip-+
Counts
4 → 269
Calls
4 calls:
Slowest
71.0ms
(* rand (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9)))
44.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
38.0ms
(/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9))
19.0ms
(- (sqrt a) (sqrt (/ 1.0 3.0)))

series579.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
303.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0))))
130.0ms
(* rand (/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9)))
92.0ms
(/ (+ (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt 9))
53.0ms
(- (sqrt a) (sqrt (/ 1.0 3.0)))

simplify14.6s

Counts
372 → 281
Calls
372 calls:
Slowest
498.0ms
(* (* (* 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))))
327.0ms
(+ (pow (sqrt a) 3) (pow (sqrt (/ 1.0 3.0)) 3))
277.0ms
(/ (* (* (- (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)))))
262.0ms
(- (pow (sqrt a) 3) (pow (sqrt (/ 1.0 3.0)) 3))
200.0ms
(/ (* (* (+ (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)))

prune4.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample6.7s

Algorithm
intervals
Results
4.7s27376×body80nan
1.3s9118×body80valid