Details

sample44.0ms

Algorithm

intervals

Results

27.0ms

401×

body

valid

simplify72.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	75
5	75
4	71
3	56
2	33
1	16
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify2.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2919
4	605
3	208
2	86
1	38
0	22

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `associate-r` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

20.0ms	(+ (* 3 (* z z)) (* x y))
18.0ms	(* 3 (* z z))

series101.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* 3 (* z z)) (* x y))
50.0ms	(* 3 (* z z))

simplify2.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	5008
3	2321
2	545
1	182
0	63

prune166.0ms

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 (* (* 3 z) z))
0.2b	(* (* 3 z) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma y x (* (* 3 z) z))
20.0ms	(* (* 3 z) z)

series109.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma y x (* (* 3 z) z))
43.0ms	(* (* 3 z) z)

simplify2.1s

Counts

38 → 38

Iterations

Iter	Nodes
done	5005
3	1461
2	377
1	125
0	55

prune176.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite211.0ms

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` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 72

Calls

3 calls:

86.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
95.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
26.0ms	(* (cbrt 3) (* z z))

series315.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
150.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
62.0ms	(* (cbrt 3) (* z z))

simplify3.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
3	4566
2	978
1	272
0	98

prune303.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes279.0ms

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

sample1.1s

Algorithm

intervals

Results

787.0ms

12062×

body

valid