Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

379×

body

valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	8	203
1	16	178
2	33	178
3	57	139
4	78	139
5	86	139
done	86	139

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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

series125.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(fma y x (* 3 (* z z)))
34.0ms	(* 3 (* z z))

simplify827.0ms

Counts

37 → 37

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	51	6779
1	123	5378
2	665	5378
done	5001	5378

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

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 y x (* (* 3 z) z))
27.0ms	(* (* 3 z) z)

series135.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(fma y x (* (* 3 z) z))
47.0ms	(* (* 3 z) z)

simplify865.0ms

Counts

36 → 36

Iterations

Useful iterations: done (862.0ms)

Iter	Nodes	Cost
0	53	6655
1	123	5293
2	762	5293
done	5000	5213

prune175.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite122.0ms

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 y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
92.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
28.0ms	(* (cbrt 3) (* z z))

series322.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
129.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
66.0ms	(* (cbrt 3) (* z z))

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	85	20605
1	211	18174
2	980	16732
done	5001	12171

prune370.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

95×	`pow1` `add-exp-log`
69×	`pow-prod-down` `prod-exp` `cbrt-unprod`
49×	`add-cbrt-cube`
12×	`cbrt-prod`
11×	`associate-l`
10×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 123

Calls

4 calls:

0.0ms	(fma y x (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z)))))
17.0ms	(* (cbrt (cbrt 3)) (* z z))
223.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z))))
75.0ms	(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z)))

series696.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(fma y x (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z)))))
342.0ms	(* (cbrt (cbrt 3)) (* z z))
160.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z))))
69.0ms	(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* z z)))

simplify2.4s

Counts

135 → 135

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	140	56012
1	421	48539
2	2322	46819
done	5000	25507

prune550.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes293.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	139
1	8	139
done	8	139

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

12299×

body

valid