Details

Time bar (total: 1.5m)

sample158.0ms

Algorithm
intervals
Results
90.0ms841×body80nan
30.0ms293×body80valid

simplify236.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
236.0ms
(* (- 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

localize37.0ms

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)))

rewrite154.0ms

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
83.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
29.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
25.0ms
(* 9 (- a (/ 1.0 3.0)))
14.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
100.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
65.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
59.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify12.0s

Counts
141 → 156
Calls
141 calls:
Slowest
458.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
369.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
330.0ms
(* (* (* 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)))))))
301.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
296.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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)

rewrite174.0ms

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
85.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
42.0ms
(* (- a (/ 1.0 3.0)) 9)
26.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
16.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))

series385.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
103.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))
98.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
63.0ms
(* (- a (/ 1.0 3.0)) 9)

simplify13.0s

Counts
135 → 152
Calls
135 calls:
Slowest
471.0ms
(/ (cbrt (- a (/ 1.0 3.0))) (cbrt (sqrt (* (- a (/ 1.0 3.0)) 9))))
423.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
365.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
324.0ms
(* (* (* 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)))))
321.0ms
(sqrt (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) 9))

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

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))))

rewrite524.0ms

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
273.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))))
116.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9))))
89.0ms
(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))
44.0ms
(* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
230.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))))
164.0ms
(* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9)))
157.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9))))
108.0ms
(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))

simplify29.4s

Counts
139 → 155
Calls
139 calls:
Slowest
678.0ms
(/ (- (sqrt a) (sqrt (/ 1.0 3.0))) (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9))))
588.0ms
(* (* (* (- 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))))
477.0ms
(* (* (* 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))))))
428.0ms
(sqrt (* (* (- (pow a 3) (pow (/ 1.0 3.0) 3)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))
419.0ms
(/ (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (* (cbrt (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9)))) (cbrt (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9) (cbrt 9))) (cbrt 9))))))

prune2.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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)))

rewrite200.0ms

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
99.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
50.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
26.0ms
(* rand (/ 1 (sqrt 9)))
15.0ms
(sqrt (- a (/ 1.0 3.0)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
172.0ms
(* (* rand (/ 1 (sqrt 9))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))))
89.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))
64.0ms
(sqrt (- a (/ 1.0 3.0)))
17.0ms
(* rand (/ 1 (sqrt 9)))

simplify18.5s

Counts
282 → 261
Calls
282 calls:
Slowest
538.0ms
(* (* (* (* 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))))))
510.0ms
(* (* (* (* 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))))))
508.0ms
(/ (* (* (- 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)))))
400.0ms
(* (* (* (* 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))))))
371.0ms
(* (* (* (* rand (/ 1 (sqrt 9))) (* rand (/ 1 (sqrt 9)))) (* rand (/ 1 (sqrt 9)))) (* (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))) (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))))

prune3.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.1b remaining)

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

bsearch6.0ms

end0.0ms

sample6.7s

Algorithm
intervals
Results
4.1s27957×body80nan
1.3s9122×body80valid