Details

Time bar (total: 21.8s)

sample43.0ms

Algorithm
intervals
Results
24.0ms344×body80valid

simplify5.3s

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (* 27.0 a) b (* x 2.0)) (* z (* (* t y) 9.0)))
0.1b
(fma (* 27.0 a) b (* x 2.0))
0.2b
(* (* t y) 9.0)
5.9b
(* z (* (* t y) 9.0))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×*-commutative fma-udef
1×sub-neg flip3-- diff-log associate--l+ flip--
Counts
4 → 78
Calls
4 calls:
12.0ms
(- (fma (* 27.0 a) b (* x 2.0)) (* z (* (* t y) 9.0)))
0.0ms
(fma (* 27.0 a) b (* x 2.0))
28.0ms
(* (* t y) 9.0)
44.0ms
(* z (* (* t y) 9.0))

series369.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(- (fma (* 27.0 a) b (* x 2.0)) (* z (* (* t y) 9.0)))
69.0ms
(fma (* 27.0 a) b (* x 2.0))
34.0ms
(* (* t y) 9.0)
51.0ms
(* z (* (* t y) 9.0))

simplify3.3s

Counts
90 → 90
Iterations
IterNodes
done5000
34770
2938
1297
0126

prune530.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

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)))
5.9b
(* z (* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))

rewrite544.0ms

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))
129.0ms
(* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
34.0ms
(* (* t y) (* (cbrt 9.0) (cbrt 9.0)))
377.0ms
(* z (* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))

series434.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(fma (* 27.0 a) b (* x 2.0))
108.0ms
(* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
117.0ms
(* (* t y) (* (cbrt 9.0) (cbrt 9.0)))
128.0ms
(* z (* (* (* t y) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))

simplify1.6s

Counts
114 → 114
Iterations
IterNodes
done5000
21451
1358
0144

prune630.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 27.0 a) b (* x 2.0))
0.2b
(* (* z (* (* t y) (* (cbrt 9.0) (cbrt 9.0)))) (cbrt 9.0))
0.3b
(* (* t y) (* (cbrt 9.0) (cbrt 9.0)))
5.9b
(* z (* (* t y) (* (cbrt 9.0) (cbrt 9.0))))

rewrite579.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1 add-exp-log
41×add-cbrt-cube
40×pow-prod-down prod-exp cbrt-unprod
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))
386.0ms
(* (* z (* (* t y) (* (cbrt 9.0) (cbrt 9.0)))) (cbrt 9.0))
57.0ms
(* (* t y) (* (cbrt 9.0) (cbrt 9.0)))
131.0ms
(* z (* (* t y) (* (cbrt 9.0) (cbrt 9.0))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(fma (* 27.0 a) b (* x 2.0))
129.0ms
(* (* z (* (* t y) (* (cbrt 9.0) (cbrt 9.0)))) (cbrt 9.0))
122.0ms
(* (* t y) (* (cbrt 9.0) (cbrt 9.0)))
171.0ms
(* z (* (* t y) (* (cbrt 9.0) (cbrt 9.0))))

simplify1.3s

Counts
114 → 114
Iterations
IterNodes
done5000
21423
1356
0145

prune637.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma 27.0 (* a b) (* x 2.0)) (* z (* (* t y) 9.0)))
0.1b
(fma 27.0 (* a b) (* x 2.0))
0.2b
(* (* t y) 9.0)
5.9b
(* z (* (* t y) 9.0))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×*-commutative fma-udef
1×sub-neg flip3-- diff-log associate--l+ flip--
Counts
4 → 78
Calls
4 calls:
7.0ms
(- (fma 27.0 (* a b) (* x 2.0)) (* z (* (* t y) 9.0)))
0.0ms
(fma 27.0 (* a b) (* x 2.0))
17.0ms
(* (* t y) 9.0)
63.0ms
(* z (* (* t y) 9.0))

series293.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(- (fma 27.0 (* a b) (* x 2.0)) (* z (* (* t y) 9.0)))
48.0ms
(fma 27.0 (* a b) (* x 2.0))
24.0ms
(* (* t y) 9.0)
37.0ms
(* z (* (* t y) 9.0))

simplify1.5s

Counts
90 → 90
Iterations
IterNodes
done5000
2974
1295
0124

prune527.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

77% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.4b

bsearch233.0ms

Steps
ItersRangePoint
8
7.914324893469885e+66
5.372425049889892e+69
2.0315483928606443e+68
7
-1.1412925467658035e-09
-2.8950298005554645e-11
-6.962711199315669e-11

simplify8.0ms

Iterations
IterNodes
done49
149
033

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s10904×body80valid