Details

Time bar (total: 14.0s)

sample67.0ms

Algorithm
intervals
Results
28.0ms364×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01717
13417
28017
321017
432317
533417
634317
736617
844517
949117
done49117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b
(* (* y 9.0) z)
0.2b
(* (* a 27.0) b)
5.6b
(* (* (* y 9.0) z) t)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
associate-*r* add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative
associate-+l+ sum-log
+-commutative associate-+l- sub-neg flip3-+ diff-log flip-+
Counts
4 → 72
Calls
4 calls:
39.0ms
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms
(* (* y 9.0) z)
24.0ms
(* (* a 27.0) b)
68.0ms
(* (* (* y 9.0) z) t)

series326.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
33.0ms
(* (* y 9.0) z)
36.0ms
(* (* a 27.0) b)
34.0ms
(* (* (* y 9.0) z) t)

simplify1.4s

Counts
84 → 84
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0140981
1365944
21545802
done5001796

prune259.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (* y 9.0) (* t z)))
0.0b
(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
0.2b
(* (* a 27.0) b)
4.5b
(* (* y 9.0) (* t z))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
sub-neg associate-+l+ diff-log associate-*l* sum-log *-commutative
+-commutative associate-+l- flip3-- flip3-+ flip-- flip-+
Counts
4 → 67
Calls
4 calls:
11.0ms
(- (* x 2.0) (* (* y 9.0) (* t z)))
39.0ms
(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
22.0ms
(* (* a 27.0) b)
42.0ms
(* (* y 9.0) (* t z))

series334.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (* x 2.0) (* (* y 9.0) (* t z)))
172.0ms
(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* (* a 27.0) b))
27.0ms
(* (* a 27.0) b)
37.0ms
(* (* y 9.0) (* t z))

simplify1.1s

Counts
79 → 79
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01381103
13761026
21500914
done5000908

prune232.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (* y 9.0) (* t z)))
0.0b
(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* 27.0 (* a b)))
0.3b
(* 27.0 (* a b))
4.5b
(* (* y 9.0) (* t z))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
sub-neg associate-+l+ diff-log associate-*r* sum-log *-commutative
+-commutative associate-+l- flip3-- flip3-+ flip-- flip-+
Counts
4 → 67
Calls
4 calls:
9.0ms
(- (* x 2.0) (* (* y 9.0) (* t z)))
47.0ms
(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* 27.0 (* a b)))
25.0ms
(* 27.0 (* a b))
37.0ms
(* (* y 9.0) (* t z))

series342.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (* x 2.0) (* (* y 9.0) (* t z)))
195.0ms
(+ (- (* x 2.0) (* (* y 9.0) (* t z))) (* 27.0 (* a b)))
24.0ms
(* 27.0 (* a b))
32.0ms
(* (* y 9.0) (* t z))

simplify1.0s

Counts
79 → 79
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01331100
13621025
21354913
done5000907

prune300.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (* y 9.0) (* t z))
15.6b
(cbrt (* (* y 9.0) (* t z)))
15.6b
(cbrt (* (* y 9.0) (* t z)))
15.6b
(cbrt (* (* y 9.0) (* t z)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
cbrt-prod pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 49
Calls
4 calls:
28.0ms
(* (* y 9.0) (* t z))
24.0ms
(cbrt (* (* y 9.0) (* t z)))
28.0ms
(cbrt (* (* y 9.0) (* t z)))
33.0ms
(cbrt (* (* y 9.0) (* t z)))

series472.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* y 9.0) (* t z))
161.0ms
(cbrt (* (* y 9.0) (* t z)))
138.0ms
(cbrt (* (* y 9.0) (* t z)))
130.0ms
(cbrt (* (* y 9.0) (* t z)))

simplify2.9s

Counts
61 → 61
Iterations

Useful iterations: done (2.9s)

IterNodesCost
092721
1227701
2808574
33679562
done5000526

prune277.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes781.0ms

Accuracy

85.6% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 3.5b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03571
15271
done5271

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.4s11015×body80valid