Details

Time bar (total: 29.9s)

sample158.0ms

Algorithm
intervals
Results
83.0ms463×body80valid

simplify7.6s

Counts
1 → 1
Iterations

Useful iterations: 5 (6.4s)

IterNodesCost
02831
16729
222127
375727
4262327
5439726
done500026

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)
5.1b
(* (* (* x 18.0) y) z)
6.0b
(* (* (* (* x 18.0) y) z) t)

rewrite501.0ms

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:
34.0ms
(* (* x 18.0) y)
21.0ms
(* (* j 27.0) k)
63.0ms
(* (* (* x 18.0) y) z)
377.0ms
(* (* (* (* x 18.0) y) z) t)

series213.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* x 18.0) y)
36.0ms
(* (* j 27.0) k)
59.0ms
(* (* (* x 18.0) y) z)
79.0ms
(* (* (* (* x 18.0) y) z) t)

simplify1.7s

Counts
101 → 101
Iterations

Useful iterations: 2 (420.0ms)

IterNodesCost
0145974
1358944
21718738
done5000738

prune589.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.2b
(* (* x 18.0) y)
5.1b
(* (* (* x 18.0) y) z)
6.0b
(* (* (* (* x 18.0) y) z) t)

rewrite387.0ms

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:
18.0ms
(* j (* 27.0 k))
22.0ms
(* (* x 18.0) y)
73.0ms
(* (* (* x 18.0) y) z)
270.0ms
(* (* (* (* x 18.0) y) z) t)

series176.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* j (* 27.0 k))
37.0ms
(* (* x 18.0) y)
40.0ms
(* (* (* x 18.0) y) z)
66.0ms
(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts
101 → 101
Iterations

Useful iterations: 2 (344.0ms)

IterNodesCost
0143971
1350943
21659737
done5000737

prune538.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.3b
(* 27.0 (* k j))
5.1b
(* (* (* x 18.0) y) z)
6.0b
(* (* (* (* x 18.0) y) z) t)

rewrite353.0ms

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:
20.0ms
(* (* x 18.0) y)
18.0ms
(* 27.0 (* k j))
62.0ms
(* (* (* x 18.0) y) z)
250.0ms
(* (* (* (* x 18.0) y) z) t)

series181.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* x 18.0) y)
35.0ms
(* 27.0 (* k j))
42.0ms
(* (* (* x 18.0) y) z)
70.0ms
(* (* (* (* x 18.0) y) z) t)

simplify1.7s

Counts
101 → 101
Iterations

Useful iterations: 2 (377.0ms)

IterNodesCost
0141971
1346943
21636737
done5000737

prune541.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- (* (* (* x 18.0) y) (* t z)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.2b
(* j (* 27.0 k))
0.2b
(* (* x 18.0) y)
9.6b
(* (* (* x 18.0) y) (* t z))

rewrite3.4s

Algorithm
rewrite-expression-head
Rules
35×pow1 add-exp-log add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
13×add-log-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*r* associate-*l*
4×expm1-log1p-u diff-log log1p-expm1-u
3×fma-neg prod-diff *-commutative
2×sum-log
1×associate--l- associate-+l- sub-neg flip3-- associate--l+ flip--
Counts
4 → 94
Calls
4 calls:
3.2s
(- (+ (- (* (* (* x 18.0) y) (* t z)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
23.0ms
(* j (* 27.0 k))
20.0ms
(* (* x 18.0) y)
106.0ms
(* (* (* x 18.0) y) (* t z))

series792.0ms

Counts
4 → 12
Calls
4 calls:
634.0ms
(- (+ (- (* (* (* x 18.0) y) (* t z)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
35.0ms
(* j (* 27.0 k))
43.0ms
(* (* x 18.0) y)
80.0ms
(* (* (* x 18.0) y) (* t z))

simplify1.7s

Counts
106 → 106
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01861635
14751597
221081299
done50011199

prune802.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.8s

Accuracy

69% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 5.6b

bsearch4.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
058145
185120
done85120

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s15970×body80valid