Details

sample179.0ms

Algorithm

intervals

Results

152.0ms

661×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
4	2005
3	726
2	183
1	56
0	18

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- 1 a))
0.1b	(fma a (* a (- 1 a)) (* (+ a 3) (* b b)))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.6b	(* (+ a 3) (* b b))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `associate-r/` `*-commutative` `fma-udef` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 95

Calls

4 calls:

16.0ms	(* a (- 1 a))
0.0ms	(fma a (* a (- 1 a)) (* (+ a 3) (* b b)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
24.0ms	(* (+ a 3) (* b b))

series266.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* a (- 1 a))
66.0ms	(fma a (* a (- 1 a)) (* (+ a 3) (* b b)))
83.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
59.0ms	(* (+ a 3) (* b b))

simplify1.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	2000
3	2000
2	1094
1	419
0	179

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize49.0ms

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)))
0.6b	(* (+ a 3) (* b b))

rewrite56.0ms

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:

1.0ms	(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))
15.0ms	(* (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)))
39.0ms	(* (+ a 3) (* b b))

series654.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
154.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
240.0ms	(* (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))

simplify803.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2009
3	2009
2	699
1	260
0	109

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

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)) (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)))
0.6b	(* (+ a 3) (* b b))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
35×	`cbrt-prod`
24×	`*-un-lft-identity`
23×	`pow1`
22×	`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 → 125

Calls

4 calls:

1.0ms	(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)))
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)))
27.0ms	(* (+ a 3) (* b b))

series674.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
247.0ms	(* (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)))
195.0ms	(* (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)))
50.0ms	(* (+ a 3) (* b b))

simplify828.0ms

Counts

137 → 137

Iterations

Iter	Nodes
done	2009
3	2009
2	699
1	260
0	109

prune2.0s

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 (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)))
0.6b	(* (+ a 3) (* b b))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
35×	`cbrt-prod`
24×	`*-un-lft-identity`
23×	`pow1`
22×	`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 → 125

Calls

4 calls:

1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
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)))
15.0ms	(* (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)))
42.0ms	(* (+ a 3) (* b b))

series767.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
239.0ms	(* (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)))
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)))
58.0ms	(* (+ a 3) (* b b))

simplify888.0ms

Counts

137 → 137

Iterations

Iter	Nodes
done	2009
3	2009
2	699
1	260
0	109

prune2.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.5s

20442×

body

valid