Details

Time bar (total: 23.9s)

sample214.0ms

Algorithm
intervals
Results
115.0ms891×body80nan
39.0ms285×body80valid

simplify2.9s

Counts
1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.2b
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.1b
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×*-un-lft-identity times-frac
24×associate-*l* add-cube-cbrt
19×add-exp-log
15×pow1
13×add-cbrt-cube
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
5×prod-exp
4×frac-times associate-/r* sqrt-pow1 div-exp pow-prod-down associate-/r/ insert-posit16 pow-flip add-log-exp unswap-sqr
3×flip3-+ associate-*l/ cbrt-unprod flip-+ associate-/l*
2×cbrt-undiv rec-exp pow1/2 1-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in distribute-lft-out-- inv-pow
Counts
4 → 128
Calls
4 calls:
Slowest
96.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
34.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
26.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
13.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

series515.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
218.0ms
(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
112.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
109.0ms
(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
77.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify1.1s

Counts
140 → 140

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
0.2b
(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
0.1b
(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
19×add-exp-log
17×*-un-lft-identity
14×associate-*l*
13×add-cube-cbrt
12×associate-*r*
11×pow1
10×pow-unpow add-cbrt-cube
8×prod-exp
4×frac-times flip3-- associate-*l/ pow-exp associate-*r/ insert-posit16 flip-- add-log-exp difference-of-squares unswap-sqr
3×distribute-lft-neg-in distribute-rgt-in distribute-rgt-neg-in distribute-lft-in flip3-+ pow-prod-down *-commutative cbrt-unprod flip-+ sqr-pow
2×neg-sub0 pow-to-exp pow-neg sub-neg unpow-prod-down pow-pow times-frac distribute-lft-out-- pow-sub
1×neg-mul-1
Counts
4 → 113
Calls
4 calls:
Slowest
50.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)))
37.0ms
(* 9 (- a (/ 1.0 3.0)))
17.0ms
(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
10.0ms
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))

series592.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
215.0ms
(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
159.0ms
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
134.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)))
83.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify1.3s

Counts
125 → 125

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

10.8b
(* (- a (/ 1.0 3.0)) (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand))
0.4b
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
0.2b
(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
27×add-sqr-sqrt
17×prod-exp
16×*-un-lft-identity
14×associate-*l*
13×add-cbrt-cube
12×add-cube-cbrt
11×pow1
10×pow-unpow associate-*r* associate-*l/
6×pow-exp
5×neg-sub0 pow-neg cbrt-unprod pow-sub
4×frac-times flip3-- associate-*r/ insert-posit16 flip-- add-log-exp difference-of-squares
3×distribute-lft-neg-in pow-to-exp distribute-rgt-neg-in pow-prod-down *-commutative unswap-sqr sqr-pow
2×distribute-rgt-in sub-neg unpow-prod-down pow-pow distribute-lft-in times-frac distribute-lft-out--
1×neg-mul-1
Counts
4 → 113
Calls
4 calls:
Slowest
74.0ms
(* (- a (/ 1.0 3.0)) (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand))
28.0ms
(* 9 (- a (/ 1.0 3.0)))
27.0ms
(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
19.0ms
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))

series677.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
223.0ms
(* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand)
212.0ms
(* (- a (/ 1.0 3.0)) (* (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)) rand))
178.0ms
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
63.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify1.0s

Counts
125 → 125

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
0.3b
(* (* (- a (/ 1.0 3.0)) (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))) rand)
0.3b
(* (- a (/ 1.0 3.0)) (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
27×add-sqr-sqrt
17×prod-exp
16×*-un-lft-identity
14×associate-*r*
13×add-cbrt-cube associate-*l/
12×add-cube-cbrt
11×pow1
10×pow-unpow associate-*l*
9×pow-neg
8×frac-times
7×neg-sub0 flip3-- flip-- pow-sub
6×pow-exp associate-*r/
5×cbrt-unprod
4×insert-posit16 add-log-exp difference-of-squares
3×distribute-lft-neg-in pow-to-exp distribute-rgt-neg-in pow-prod-down *-commutative unswap-sqr sqr-pow
2×distribute-rgt-in sub-neg unpow-prod-down pow-pow distribute-lft-in times-frac un-div-inv distribute-lft-out--
1×neg-mul-1
Counts
4 → 121
Calls
4 calls:
Slowest
104.0ms
(* (* (- a (/ 1.0 3.0)) (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))) rand)
38.0ms
(* (- a (/ 1.0 3.0)) (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)))
29.0ms
(* 9 (- a (/ 1.0 3.0)))
13.0ms
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))

series431.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
173.0ms
(* (* (- a (/ 1.0 3.0)) (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))) rand)
120.0ms
(pow (* 9 (- a (/ 1.0 3.0))) (- 1/2))
73.0ms
(* 9 (- a (/ 1.0 3.0)))
65.0ms
(* (- a (/ 1.0 3.0)) (pow (* 9 (- a (/ 1.0 3.0))) (- 1/2)))

simplify894.0ms

Counts
133 → 133

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes247.0ms

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
4.1s27399×body80nan
1.2s9104×body80valid