Details

Time bar (total: 10.2s)

sample90.0ms

Algorithm
intervals
Results
36.0ms562×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112
done500112

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* (* x 18.0) y)
4.4b
(* (* (* x 18.0) y) z)
5.7b
(* (* (* (* x 18.0) y) z) t)

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
4 → 89
Calls
4 calls:
17.0ms
(* (* j 27.0) k)
17.0ms
(* (* x 18.0) y)
52.0ms
(* (* (* x 18.0) y) z)
180.0ms
(* (* (* (* x 18.0) y) z) t)

series122.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* j 27.0) k)
21.0ms
(* (* x 18.0) y)
30.0ms
(* (* (* x 18.0) y) z)
51.0ms
(* (* (* (* x 18.0) y) z) t)

simplify71.0ms

Counts
101 → 101
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0368453
12149350
25001350
done5001350

prune350.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* j (* 27.0 k))
4.4b
(* (* (* x 18.0) y) z)
5.7b
(* (* (* (* x 18.0) y) z) t)

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
4 → 89
Calls
4 calls:
17.0ms
(* (* x 18.0) y)
15.0ms
(* j (* 27.0 k))
51.0ms
(* (* (* x 18.0) y) z)
175.0ms
(* (* (* (* x 18.0) y) z) t)

series121.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* x 18.0) y)
19.0ms
(* j (* 27.0 k))
32.0ms
(* (* (* x 18.0) y) z)
48.0ms
(* (* (* (* x 18.0) y) z) t)

simplify66.0ms

Counts
101 → 101
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0360452
12038349
25002349
done5002349

prune355.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* (* x 18.0) y)
2.9b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.4b
(* (* (* x 18.0) y) z)

rewrite89.0ms

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
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* *-commutative
1×fma-udef
Counts
4 → 73
Calls
4 calls:
17.0ms
(* (* j 27.0) k)
16.0ms
(* (* x 18.0) y)
0.0ms
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
54.0ms
(* (* (* x 18.0) y) z)

series3.0s

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* j 27.0) k)
21.0ms
(* (* x 18.0) y)
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms
(* (* (* x 18.0) y) z)

simplify53.0ms

Counts
85 → 85
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326447
11657364
25001364
done5001364

prune343.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
4.4b
(* (* (* x 18.0) y) z)
5.7b
(* (* (* (* x 18.0) y) z) t)

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt j)
1.0ms
(cbrt j)
52.0ms
(* (* (* x 18.0) y) z)
178.0ms
(* (* (* (* x 18.0) y) z) t)

series449.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt j)
186.0ms
(cbrt j)
29.0ms
(* (* (* x 18.0) y) z)
48.0ms
(* (* (* (* x 18.0) y) z) t)

simplify53.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0277383
11489304
25001300
done5001300

prune368.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

regimes1.4s

Accuracy

45.6% (2.6b remaining)

Error of 3.3b against oracle of 0.7b and baseline of 5.5b

bsearch3.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07069
17069
done7069

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s16228×body80valid