Details

sample54.0ms

Algorithm

intervals

Results

24.0ms

350×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4854
11	3636
10	2752
9	2110
8	1794
7	1579
6	1259
5	785
4	479
3	234
2	90
1	35
0	17

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (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)
6.2b	(* z (* (* t y) 9.0))

rewrite59.0ms

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` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

4 → 74

Calls

4 calls:

6.0ms	(- (fma (* 27.0 a) b (* x 2.0)) (* z (* (* t y) 9.0)))
0.0ms	(fma (* 27.0 a) b (* x 2.0))
15.0ms	(* (* t y) 9.0)
35.0ms	(* z (* (* t y) 9.0))

series337.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(- (fma (* 27.0 a) b (* x 2.0)) (* z (* (* t y) 9.0)))
58.0ms	(fma (* 27.0 a) b (* x 2.0))
23.0ms	(* (* t y) 9.0)
36.0ms	(* z (* (* t y) 9.0))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	1026
1	295
0	122

prune655.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* b a) 27.0) (* (* 9.0 (* z t)) y))
0.2b	(* (* b a) 27.0)
0.3b	(* 9.0 (* z t))
6.2b	(* (* 9.0 (* z t)) y)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

24.0ms	(- (* (* b a) 27.0) (* (* 9.0 (* z t)) y))
22.0ms	(* (* b a) 27.0)
16.0ms	(* 9.0 (* z t))
42.0ms	(* (* 9.0 (* z t)) y)

series178.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (* (* b a) 27.0) (* (* 9.0 (* z t)) y))
24.0ms	(* (* b a) 27.0)
23.0ms	(* 9.0 (* z t))
40.0ms	(* (* 9.0 (* z t)) y)

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1485
1	361
0	139

prune605.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* b a) 27.0) (* (* (* 9.0 z) t) y))
0.2b	(* (* 9.0 z) t)
0.2b	(* (* b a) 27.0)
6.2b	(* (* (* 9.0 z) t) y)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

29.0ms	(- (* (* b a) 27.0) (* (* (* 9.0 z) t) y))
15.0ms	(* (* 9.0 z) t)
13.0ms	(* (* b a) 27.0)
48.0ms	(* (* (* 9.0 z) t) y)

series194.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (* (* b a) 27.0) (* (* (* 9.0 z) t) y))
21.0ms	(* (* 9.0 z) t)
26.0ms	(* (* b a) 27.0)
50.0ms	(* (* (* 9.0 z) t) y)

simplify1.4s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1343
1	364
0	141

prune654.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (* z t))
0.3b	(* (* b a) (sqrt 27.0))
0.3b	(* (* (* b a) (sqrt 27.0)) (sqrt 27.0))
6.2b	(* (* 9.0 (* z t)) y)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-r`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `sqrt-prod`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

18.0ms	(* 9.0 (* z t))
24.0ms	(* (* b a) (sqrt 27.0))
67.0ms	(* (* (* b a) (sqrt 27.0)) (sqrt 27.0))
50.0ms	(* (* 9.0 (* z t)) y)

series227.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 9.0 (* z t))
53.0ms	(* (* b a) (sqrt 27.0))
105.0ms	(* (* (* b a) (sqrt 27.0)) (sqrt 27.0))
44.0ms	(* (* 9.0 (* z t)) y)

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1500
1	375
0	144

prune594.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

69.8% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	54
1	54
0	38

end0.0ms

sample1.5s

Algorithm

intervals

Results

982.0ms

10976×

body

valid