Details

sample44.0ms

Algorithm

intervals

Results

23.0ms

429×

body

valid

simplify75.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	69
5	69
4	65
3	50
2	29
1	14
0	7

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x x (* (* 3 y) y))
27.0ms	(* (* 3 y) y)

series107.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma x x (* (* 3 y) y))
48.0ms	(* (* 3 y) y)

simplify1.9s

Counts

36 → 36

Iterations

Iter	Nodes
done	5005
3	1436
2	354
1	124
0	52

prune189.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt`
3×	`-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` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x x (* 3 (* y y)))
15.0ms	(* 3 (* y y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma x x (* 3 (* y y)))
42.0ms	(* 3 (* y y))

simplify1.2s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	1322
2	288
1	113
0	50

prune157.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

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 (* y y) 3 (* x x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
5	1380
4	336
3	111
2	58
1	34
0	21

prune98.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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`
4×	`cbrt-prod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
57.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
18.0ms	(* (cbrt 3) (* y y))

series310.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
124.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
68.0ms	(* (cbrt 3) (* y y))

simplify3.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5003
3	2764
2	642
1	193
0	84

prune408.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes180.0ms

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	7
1	7
0	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

785.0ms

14086×

body

valid