Details

sample90.0ms

Algorithm

intervals

Results

71.0ms

654×

body

valid

simplify978.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2058
3	646
2	181
1	54
0	18

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4 (fma a (- a (* a a)) (* (+ a 3) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0b	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.1b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(* (+ a 3) (* b b))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma 4 (fma a (- a (* a a)) (* (+ a 3) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
51.0ms	(* (+ a 3) (* b b))

series413.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(fma 4 (fma a (- a (* a a)) (* (+ a 3) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
80.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
127.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
70.0ms	(* (+ a 3) (* b b))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
3	3199
2	758
1	238
0	105

prune949.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (+ a 3) (* b b))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
17×	`*-un-lft-identity`
16×	`pow1`
15×	`add-cube-cbrt`
11×	`add-exp-log`
10×	`associate-l`
9×	`add-cbrt-cube`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `flip3-+` `pow-plus` `flip-+` `distribute-lft-out`

Counts

4 → 96

Calls

4 calls:

2.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
11.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
25.0ms	(* (+ a 3) (* b b))

series724.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
213.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
237.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
55.0ms	(* (+ a 3) (* b b))

simplify1.0s

Counts

108 → 108

Iterations

Iter	Nodes
3	2706
2	740
1	257
0	109

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (+ a 3) (* b b))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

41×	`cbrt-prod`
40×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`pow1` `add-cube-cbrt`
16×	`associate-l`
13×	`pow1/3` `associate-r` `add-exp-log`
12×	`swap-sqr`
9×	`add-cbrt-cube` `unswap-sqr`
7×	`pow-prod-down`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `pow-plus` `associate-*l/`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 128

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
18.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
13.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
33.0ms	(* (+ a 3) (* b b))

series743.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
251.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
265.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
46.0ms	(* (+ a 3) (* b b))

simplify1.1s

Counts

140 → 140

Iterations

Iter	Nodes
3	2673
2	753
1	264
0	119

prune2.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (+ a 3) (* b b))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
48×	`cbrt-prod`
31×	`*-un-lft-identity`
30×	`pow1`
29×	`add-cube-cbrt`
22×	`associate-l`
19×	`associate-r`
18×	`pow1/3` `swap-sqr`
15×	`add-exp-log`
13×	`unswap-sqr`
9×	`add-cbrt-cube` `pow-prod-down`
6×	`prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-plus`
2×	`associate-*l/`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 154

Calls

4 calls:

16.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
13.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
8.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
25.0ms	(* (+ a 3) (* b b))

series693.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
216.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
215.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
46.0ms	(* (+ a 3) (* b b))

simplify870.0ms

Counts

166 → 166

Iterations

Iter	Nodes
3	2503
2	680
1	236
0	100

prune3.0s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes328.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	16
1	16
0	14

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.9s

20707×

body

valid