Details

Time bar (total: 16.4s)

sample55.0ms

Algorithm
intervals
Results
23.0ms357×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
01717
13517
29216
325316
450616
562916
670416
774116
889416
9108416
10108816
done108816

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b
(* (* y 9.0) z)
0.2b
(* (* a 27.0) b)
4.1b
(* (* (* y 9.0) z) t)

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*r*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
16.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms
(* (* y 9.0) z)
24.0ms
(* (* a 27.0) b)
123.0ms
(* (* (* y 9.0) z) t)

series206.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
33.0ms
(* (* y 9.0) z)
32.0ms
(* (* a 27.0) b)
45.0ms
(* (* (* y 9.0) z) t)

simplify1.9s

Counts
91 → 91
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0146914
1367869
21522762
done5000740

prune481.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.2b
(* 9.0 (* t (* z y)))
0.2b
(* (* a 27.0) b)
4.2b
(* t (* z y))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
24.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
89.0ms
(* 9.0 (* t (* z y)))
36.0ms
(* (* a 27.0) b)
20.0ms
(* t (* z y))

series215.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
40.0ms
(* 9.0 (* t (* z y)))
28.0ms
(* (* a 27.0) b)
38.0ms
(* t (* z y))

simplify1.6s

Counts
91 → 91
Iterations

Useful iterations: 2 (372.0ms)

IterNodesCost
0136904
1342863
21346734
done5000734

prune525.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.2b
(* 9.0 (* t (* z y)))
0.2b
(* a (* 27.0 b))
4.2b
(* t (* z y))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 79
Calls
4 calls:
16.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
51.0ms
(* 9.0 (* t (* z y)))
42.0ms
(* a (* 27.0 b))
31.0ms
(* t (* z y))

series263.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
63.0ms
(* 9.0 (* t (* z y)))
37.0ms
(* a (* 27.0 b))
42.0ms
(* t (* z y))

simplify1.4s

Counts
91 → 91
Iterations

Useful iterations: 2 (247.0ms)

IterNodesCost
0133901
1333862
21269733
done5001733

prune377.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
0.2b
(* a (* 27.0 b))
4.3b
(* (* 9.0 t) (* z y))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
3×expm1-log1p-u log1p-expm1-u
2×associate-*r* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 60
Calls
3 calls:
17.0ms
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
27.0ms
(* a (* 27.0 b))
39.0ms
(* (* 9.0 t) (* z y))

series194.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
46.0ms
(* a (* 27.0 b))
43.0ms
(* (* 9.0 t) (* z y))

simplify1.3s

Counts
69 → 69
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0121763
1315725
21256614
done5001612

prune263.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes741.0ms

Accuracy

72.7% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.5b

bsearch173.0ms

Steps
ItersRangePoint
6
6.414329150775304e-150
5.8333250929505735e-149
1.6408427513533212e-149
7
-5.793127394379385e+68
-1.8065408980928207e+67
-2.6508813647618153e+68

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03159
14643
done4643

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s10988×body80valid