Details

Time bar (total: 1.6m)

sample194.0ms

Algorithm
intervals
Results
121.0ms841×body80nan
38.0ms293×body80valid

simplify201.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
201.0ms
(* (- 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: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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
54.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
31.0ms
(* 9 (- a (/ 1.0 3.0)))
26.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
140.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
97.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
77.0ms
(* 9 (- a (/ 1.0 3.0)))
70.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify12.5s

Counts
141 → 156
Calls
141 calls:
Slowest
536.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
382.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
379.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
317.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
313.0ms
(* (* (* 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)))))))

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
59×times-frac
50×*-un-lft-identity
33×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-*l*
8×associate-*l/
6×sqrt-div 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×cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv associate-/l/
1×clear-num frac-2neg pow1/2 div-sub associate-*r/
Counts
4 → 140
Calls
4 calls:
Slowest
69.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
47.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
20.0ms
(* (- a (/ 1.0 3.0)) 9)
8.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))

series430.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
146.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
125.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
86.0ms
(* (- a (/ 1.0 3.0)) 9)
74.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))

simplify13.0s

Counts
135 → 152
Calls
135 calls:
Slowest
668.0ms
(sqrt (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) 9))
369.0ms
(* (* (* rand rand) rand) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (* (- a (/ 1.0 3.0)) 9)) (sqrt (* (- a (/ 1.0 3.0)) 9))) (sqrt (* (- a (/ 1.0 3.0)) 9)))))
353.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
345.0ms
(sqrt (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) 9))
336.0ms
(* (- (pow a 3) (pow (/ 1.0 3.0) 3)) 9)

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite603.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
59×times-frac
49×*-un-lft-identity
31×associate-*r*
29×add-cube-cbrt
21×pow1
20×difference-of-squares
16×add-exp-log
14×add-cbrt-cube associate-*l/ sqrt-prod
10×pow-prod-down distribute-lft-out--
9×associate-*l*
6×sqrt-div associate-/l*
5×flip3-- prod-exp cbrt-unprod flip--
4×associate-/r* sqrt-pow1 associate-/r/ insert-posit16 add-log-exp
3×unswap-sqr
2×cbrt-undiv div-exp *-commutative div-inv associate-/l/
1×clear-num frac-2neg pow1/2 div-sub associate-*r/
Counts
4 → 143
Calls
4 calls:
Slowest
326.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))))
134.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9))))
75.0ms
(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))
64.0ms
(* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9)))

series715.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
239.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))))
184.0ms
(* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9)))
155.0ms
(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))
137.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9))))

simplify29.6s

Counts
139 → 155
Calls
139 calls:
Slowest
679.0ms
(/ (sqrt (- a (/ 1.0 3.0))) (cbrt (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))))
614.0ms
(* (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (cbrt 9))) (* (cbrt 9) (cbrt 9))))
503.0ms
(sqrt (* (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))
472.0ms
(* (* (* rand rand) rand) (/ (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))) (* (* (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9))) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9))))))
404.0ms
(/ (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))))

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (* 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)))

rewrite203.0ms

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
Counts
4 → 249
Calls
4 calls:
Slowest
108.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
46.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
22.0ms
(* rand (/ 1 (sqrt 9)))
17.0ms
(sqrt (- a (/ 1.0 3.0)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
69.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
48.0ms
(sqrt (- a (/ 1.0 3.0)))
25.0ms
(* rand (/ 1 (sqrt 9)))

simplify19.5s

Counts
282 → 261
Calls
282 calls:
Slowest
573.0ms
(* (* (* (* 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))))))
540.0ms
(/ (* (* (- 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)))))
468.0ms
(* (* (* (* rand rand) rand) (* (* (/ 1 (sqrt 9)) (/ 1 (sqrt 9))) (/ 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))))))
453.0ms
(* (* (* (* 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))))))
379.0ms
(+ (log (* rand (/ 1 (sqrt 9)))) (- (log (- a (/ 1.0 3.0))) (log (sqrt (- a (/ 1.0 3.0))))))

prune3.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

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

bsearch8.0ms

end0.0ms

sample6.5s

Algorithm
intervals
Results
4.3s27957×body80nan
1.3s9122×body80valid