Details

Time bar (total: 30.0s)

sample203.0ms

Algorithm
intervals
Results
133.0ms912×body80nan
37.0ms295×body80valid

simplify190.0ms

Calls
1 calls:
Slowest
190.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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))))))
0.2b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite10.0ms

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))))

series141.0ms

Calls
4 calls:
Slowest
55.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))
31.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
29.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
25.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify6.1s

Calls
80 calls:
Slowest
418.0ms
(- (+ (* 1/3 (* (sqrt (- 0.3333333333333333)) rand)) (* 1/6 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
270.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
219.0ms
(- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))
209.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
165.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*r*
8×associate-*l/ 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* associate-/l*
2×*-commutative div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg pow1/2 div-sub div-exp associate-*r/
Calls
4 calls:
Slowest
4.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
4.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
3.0ms
(* (- a (/ 1.0 3.0)) 9)
1.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))

series141.0ms

Calls
4 calls:
Slowest
61.0ms
(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
37.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))
25.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9))
17.0ms
(* (- a (/ 1.0 3.0)) 9)

simplify6.3s

Calls
75 calls:
Slowest
374.0ms
(- (+ (* 1/3 (* (sqrt (- 0.3333333333333333)) rand)) (* 1/6 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
355.0ms
(sqrt (* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) 9))
284.0ms
(* (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))) 9)
187.0ms
(- (+ (* 1/3 (sqrt (- 0.3333333333333333))) (* 1/6 (/ a (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
184.0ms
(* (- (pow a 3) (pow (/ 1.0 3.0) 3)) 9)

prune991.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite12.0ms

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
5.0ms
(+ (* 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)))

series140.0ms

Calls
4 calls:
Slowest
59.0ms
(* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1))
42.0ms
(+ (* rand (* (/ (sqrt (- a (/ 1.0 3.0))) 3) 1)) (- a (/ 1.0 3.0)))
22.0ms
(/ (sqrt (- a (/ 1.0 3.0))) 3)
17.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify3.1s

Calls
33 calls:
Slowest
403.0ms
(- (+ (* 1/3 (* (sqrt (- 0.3333333333333333)) rand)) (* 1/6 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
356.0ms
(sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3)))
354.0ms
(sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3)))
333.0ms
(+ (* (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) (+ a (/ 1.0 3.0))) (* 3 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
282.0ms
(* 3 (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))

prune537.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) 3)
0.2b
(* rand (* (sqrt (- a (/ 1.0 3.0))) 1))
0.0b
(sqrt (- a (/ 1.0 3.0)))
0.0b
(+ (/ (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) 3) (- a (/ 1.0 3.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-sqr-sqrt sqrt-div add-log-exp
5×add-cube-cbrt
4×pow1 flip3-- add-cbrt-cube associate-*l/ associate-*r/ add-exp-log insert-posit16 flip--
3×sqrt-prod
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 distribute-lft-out associate-/l*
Calls
4 calls:
Slowest
7.0ms
(/ (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) 3)
6.0ms
(+ (/ (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) 3) (- a (/ 1.0 3.0)))
4.0ms
(* rand (* (sqrt (- a (/ 1.0 3.0))) 1))
1.0ms
(sqrt (- a (/ 1.0 3.0)))

series149.0ms

Calls
4 calls:
Slowest
43.0ms
(/ (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) 3)
40.0ms
(* rand (* (sqrt (- a (/ 1.0 3.0))) 1))
39.0ms
(+ (/ (* rand (* (sqrt (- a (/ 1.0 3.0))) 1)) 3) (- a (/ 1.0 3.0)))
27.0ms
(sqrt (- a (/ 1.0 3.0)))

simplify3.6s

Calls
31 calls:
Slowest
431.0ms
(- (+ (* 1/3 (* (sqrt (- 0.3333333333333333)) rand)) (* 1/6 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/24 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
403.0ms
(* rand (* (sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3))) 1))
360.0ms
(- (+ (* (sqrt (- 0.3333333333333333)) rand) (* 1/2 (/ (* a rand) (sqrt (- 0.3333333333333333))))) (* 1/8 (/ (* (pow a 2) rand) (pow (sqrt (- 0.3333333333333333)) 3))))
318.0ms
(sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3)))
309.0ms
(* 3 (+ (* a a) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* a (/ 1.0 3.0)))))

prune680.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
4.4s26790×body80nan
1.2s9096×body80valid