Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

379×

body

valid

simplify44.0ms

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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:

0.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify1.6s

Counts

13 → 13

Iterations

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

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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))
27.0ms	(* 3 (* z z))

series85.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* 3 (* z z)) (* x y))
28.0ms	(* 3 (* z z))

simplify926.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	1010
1	203
0	61

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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)))
17.0ms	(* z (* z 3))

series100.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(fma y x (* z (* z 3)))
37.0ms	(* z (* z 3))

simplify668.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
2	520
1	108
0	50

prune199.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b	(* (cbrt 3) (* z z))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

97.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
83.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
22.0ms	(* (cbrt 3) (* z z))

series349.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
167.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
72.0ms	(* (cbrt 3) (* z z))

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1373
1	280
0	95

prune396.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes314.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

724.0ms

12299×

body

valid