Details

sample52.0ms

Algorithm

intervals

Results

22.0ms

379×

body

valid

simplify53.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
5	86
4	78
3	57
2	33
1	16
0	8

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 3 (* z z) (* x y))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma 3 (* z z) (* x y))

simplify1.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
3	588
2	115
1	37
0	21

prune66.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `associate-r` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

22.0ms	(+ (* 3 (* z z)) (* x y))
17.0ms	(* 3 (* z z))

series103.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* 3 (* z z)) (* x y))
37.0ms	(* 3 (* z z))

simplify747.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	1010
1	203
0	61

prune254.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y x (* z (* z 3)))
0.2b	(* z (* z 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma y x (* z (* z 3)))
12.0ms	(* z (* z 3))

series111.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma y x (* z (* z 3)))
42.0ms	(* z (* z 3))

simplify592.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
2	520
1	108
0	50

prune205.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z z) 3)
0.3b	(* (sqrt (* (* z z) 3)) (sqrt (* (* z z) 3)))
17.7b	(sqrt (* (* z z) 3))
17.7b	(sqrt (* (* z z) 3))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 117

Calls

4 calls:

14.0ms	(* (* z z) 3)
146.0ms	(* (sqrt (* (* z z) 3)) (sqrt (* (* z z) 3)))
11.0ms	(sqrt (* (* z z) 3))
11.0ms	(sqrt (* (* z z) 3))

series267.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* z z) 3)
126.0ms	(* (sqrt (* (* z z) 3)) (sqrt (* (* z z) 3)))
45.0ms	(sqrt (* (* z z) 3))
62.0ms	(sqrt (* (* z z) 3))

simplify1.5s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	1383
1	226
0	86

prune494.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes469.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

760.0ms

12297×

body

valid