Details

Time bar (total: 24.5s)

sample100.0ms

Algorithm
intervals
Results
70.0ms349×body80valid

simplify5.8s

Counts
1 → 1
Iterations
IterNodes
done5000
124854
113636
102752
92110
81794
71579
61259
5785
4479
3234
290
135
017

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (* 27.0 a) b (* x 2.0))
0.2b
(* (* t y) 9.0)
4.9b
(* z (* (* t y) 9.0))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*r* associate-*l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative
1×fma-udef
Counts
3 → 56
Calls
3 calls:
0.0ms
(fma (* 27.0 a) b (* x 2.0))
29.0ms
(* (* t y) 9.0)
61.0ms
(* z (* (* t y) 9.0))

series163.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(fma (* 27.0 a) b (* x 2.0))
38.0ms
(* (* t y) 9.0)
60.0ms
(* z (* (* t y) 9.0))

simplify3.3s

Counts
65 → 65
Iterations
IterNodes
done5001
33216
2672
1213
095

prune462.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (* 27.0 a) b (* x 2.0))
0.2b
(* (* z (* t y)) 9.0)
4.9b
(* z (* t y))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*r* associate-*l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative
1×fma-udef
Counts
3 → 56
Calls
3 calls:
1.0ms
(fma (* 27.0 a) b (* x 2.0))
68.0ms
(* (* z (* t y)) 9.0)
19.0ms
(* z (* t y))

series147.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma (* 27.0 a) b (* x 2.0))
44.0ms
(* (* z (* t y)) 9.0)
48.0ms
(* z (* t y))

simplify3.8s

Counts
65 → 65
Iterations
IterNodes
done5002
34250
2748
1211
094

prune320.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 27.0 a) b (* x 2.0))
0.2b
(* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
0.3b
(* (* t y) (* (cbrt 9.0) (cbrt 9.0)))
4.9b
(* z (* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
37×add-cbrt-cube
8×associate-*r*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod *-commutative
1×fma-udef
Counts
4 → 102
Calls
4 calls:
0.0ms
(fma (* 27.0 a) b (* x 2.0))
126.0ms
(* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
32.0ms
(* (* t y) (* (cbrt 9.0) (cbrt 9.0)))
265.0ms
(* z (* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma (* 27.0 a) b (* x 2.0))
75.0ms
(* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
117.0ms
(* (* t y) (* (cbrt 9.0) (cbrt 9.0)))
108.0ms
(* z (* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))

simplify1.5s

Counts
114 → 114
Iterations
IterNodes
done5000
21451
1358
0144

prune469.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* t y) (cbrt 9.0)) (cbrt 9.0))
0.2b
(* (* t y) (cbrt 9.0))
0.2b
(* (* (* (* t y) (cbrt 9.0)) (cbrt 9.0)) (cbrt 9.0))
4.9b
(* z (* (* (* (* t y) (cbrt 9.0)) (cbrt 9.0)) (cbrt 9.0)))

rewrite754.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1 add-exp-log
34×pow-prod-down prod-exp cbrt-unprod
27×add-cbrt-cube
19×associate-*r*
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod
6×associate-*l*
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 111
Calls
4 calls:
73.0ms
(* (* (* t y) (cbrt 9.0)) (cbrt 9.0))
19.0ms
(* (* t y) (cbrt 9.0))
151.0ms
(* (* (* (* t y) (cbrt 9.0)) (cbrt 9.0)) (cbrt 9.0))
509.0ms
(* z (* (* (* (* t y) (cbrt 9.0)) (cbrt 9.0)) (cbrt 9.0)))

series371.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (* (* t y) (cbrt 9.0)) (cbrt 9.0))
61.0ms
(* (* t y) (cbrt 9.0))
75.0ms
(* (* (* (* t y) (cbrt 9.0)) (cbrt 9.0)) (cbrt 9.0))
121.0ms
(* z (* (* (* (* t y) (cbrt 9.0)) (cbrt 9.0)) (cbrt 9.0)))

simplify1.5s

Counts
123 → 123
Iterations
IterNodes
done5000
21447
1370
0137

prune848.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

78.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify9.0ms

Iterations
IterNodes
done56
156
039

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.0s11023×body80valid