Details

Time bar (total: 30.5s)

sample159.0ms

Algorithm
intervals
Results
86.0ms463×body80valid

simplify6.8s

Counts
1 → 1
Iterations

Useful iterations: 5 (5.8s)

IterNodesCost
02831
16729
222127
375727
4262327
5439726
done500026

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

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)

rewrite383.0ms

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:
24.0ms
(* (* x 18.0) y)
28.0ms
(* (* j 27.0) k)
85.0ms
(* (* (* x 18.0) y) z)
243.0ms
(* (* (* (* x 18.0) y) z) t)

series151.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* x 18.0) y)
26.0ms
(* (* j 27.0) k)
43.0ms
(* (* (* x 18.0) y) z)
59.0ms
(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts
101 → 101
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
0145974
1358944
21718738
done5000738

prune509.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

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)

rewrite355.0ms

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
(* j (* 27.0 k))
18.0ms
(* (* x 18.0) y)
58.0ms
(* (* (* x 18.0) y) z)
257.0ms
(* (* (* (* x 18.0) y) z) t)

series190.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* j (* 27.0 k))
48.0ms
(* (* x 18.0) y)
34.0ms
(* (* (* x 18.0) y) z)
68.0ms
(* (* (* (* x 18.0) y) z) t)

simplify1.9s

Counts
101 → 101
Iterations

Useful iterations: 2 (368.0ms)

IterNodesCost
0143971
1350943
21659737
done5000737

prune652.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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)

rewrite405.0ms

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:
24.0ms
(* (* x 18.0) y)
17.0ms
(* 27.0 (* k j))
78.0ms
(* (* (* x 18.0) y) z)
281.0ms
(* (* (* (* x 18.0) y) z) t)

series186.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* x 18.0) y)
31.0ms
(* 27.0 (* k j))
55.0ms
(* (* (* x 18.0) y) z)
63.0ms
(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts
101 → 101
Iterations

Useful iterations: 2 (320.0ms)

IterNodesCost
0141971
1346943
21636737
done5000737

prune589.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.3s

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
7×associate-*r*
4×expm1-log1p-u diff-log log1p-expm1-u
3×fma-neg associate-*l* prod-diff *-commutative
2×sum-log
1×associate--l- associate-+l- sub-neg flip3-- associate--l+ flip--
Counts
4 → 94
Calls
4 calls:
3.1s
(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
39.0ms
(* (* x 18.0) y)
41.0ms
(* (* j 27.0) k)
105.0ms
(* (* (* x 18.0) y) (* z t))

series762.0ms

Counts
4 → 12
Calls
4 calls:
625.0ms
(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
36.0ms
(* (* x 18.0) y)
38.0ms
(* (* j 27.0) k)
62.0ms
(* (* (* x 18.0) y) (* z t))

simplify1.9s

Counts
106 → 106
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01881638
14821598
221651250
done50001200

prune647.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes2.2s

Accuracy

68.9% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 5.6b

bsearch7.0ms

simplify15.0ms

Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
053145
176120
done76120

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.9s15970×body80valid