Details

Time bar (total: 23.2s)

sample146.0ms

Algorithm
intervals
Results
91.0ms454×body80valid

simplify5.6s

Counts
1 → 1
Iterations
IterNodes
done5000
54998
42295
3723
2217
167
028

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.2b
(* 27.0 (* k j))
5.3b
(* z (* (* t x) (* y 18.0)))
6.2b
(* (* t x) (* y 18.0))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
39×pow1 add-cbrt-cube add-exp-log
24×pow-prod-down prod-exp cbrt-unprod
associate-*l*
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
associate-*r* *-commutative
fma-udef
Counts
4 → 87
Calls
4 calls:
0.0ms
(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
16.0ms
(* 27.0 (* k j))
125.0ms
(* z (* (* t x) (* y 18.0)))
66.0ms
(* (* t x) (* y 18.0))

series336.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
30.0ms
(* 27.0 (* k j))
59.0ms
(* z (* (* t x) (* y 18.0)))
58.0ms
(* (* t x) (* y 18.0))

simplify1.5s

Counts
99 → 99
Iterations
IterNodes
done5021
21446
1361
0150

prune733.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 27.0 (* k j))
0.3b
(* (* (* t x) y) 18.0)
5.3b
(* z (* (* (* t x) y) 18.0))
6.1b
(* (* t x) y)

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-cbrt-cube add-exp-log
22×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 93
Calls
4 calls:
16.0ms
(* 27.0 (* k j))
61.0ms
(* (* (* t x) y) 18.0)
171.0ms
(* z (* (* (* t x) y) 18.0))
37.0ms
(* (* t x) y)

series185.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 27.0 (* k j))
48.0ms
(* (* (* t x) y) 18.0)
63.0ms
(* z (* (* (* t x) y) 18.0))
44.0ms
(* (* t x) y)

simplify1.3s

Counts
105 → 105
Iterations
IterNodes
done5003
21315
1358
0144

prune958.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 27.0 k) j)
0.3b
(* (* (* t x) y) 18.0)
5.3b
(* z (* (* (* t x) y) 18.0))
6.1b
(* (* t x) y)

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-cbrt-cube add-exp-log
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*l*
expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 93
Calls
4 calls:
23.0ms
(* (* 27.0 k) j)
54.0ms
(* (* (* t x) y) 18.0)
179.0ms
(* z (* (* (* t x) y) 18.0))
19.0ms
(* (* t x) y)

series203.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* 27.0 k) j)
55.0ms
(* (* (* t x) y) 18.0)
78.0ms
(* z (* (* (* t x) y) 18.0))
36.0ms
(* (* t x) y)

simplify1.3s

Counts
105 → 105
Iterations
IterNodes
done5001
21382
1369
0146

prune956.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
0.2b
(* 27.0 (* k j))
4.4b
(* (* z (* t x)) (* y 18.0))
5.3b
(* z (* t x))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-cbrt-cube add-exp-log
21×pow-prod-down prod-exp cbrt-unprod
associate-*l*
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
associate-*r* *-commutative
fma-udef
Counts
4 → 84
Calls
4 calls:
0.0ms
(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
24.0ms
(* 27.0 (* k j))
91.0ms
(* (* z (* t x)) (* y 18.0))
25.0ms
(* z (* t x))

series256.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(fma 4.0 (fma t a (* x i)) (* 27.0 (* k j)))
24.0ms
(* 27.0 (* k j))
65.0ms
(* (* z (* t x)) (* y 18.0))
43.0ms
(* z (* t x))

simplify1.5s

Counts
96 → 96
Iterations
IterNodes
done5010
21323
1350
0147

prune584.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes2.2s

Accuracy

74.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 4.0b

bsearch3.0ms

simplify13.0ms

Iterations
IterNodes
done70
170
047

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.3s16156×body80valid