Details

sample97.0ms

Algorithm

intervals

Results

79.0ms

661×

body

valid

simplify844.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

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))
0.1b	(fma a (- a (* a 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))

rewrite39.0ms

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)
37.0ms	(* (+ a 3) (* b b))

series679.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(fma 4 (fma a (- a (* a a)) (* (+ a 3) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
76.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
400.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
51.0ms	(* (+ a 3) (* b b))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
3	3199
2	758
1	238
0	105

prune515.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

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))

rewrite48.0ms

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))
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)))
37.0ms	(* (+ a 3) (* b b))

series706.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
207.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
232.0ms	(* (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))

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
3	2706
2	740
1	257
0	109

prune783.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

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)))
28.0ms	(* (+ a 3) (* b b))

series754.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(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)))
243.0ms	(* (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)))
61.0ms	(* (+ a 3) (* b b))

simplify1.1s

Counts

137 → 137

Iterations

Iter	Nodes
3	2706
2	740
1	257
0	109

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize128.0ms

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))

rewrite58.0ms

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))
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)))
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)))
32.0ms	(* (+ a 3) (* b b))

series720.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
227.0ms	(* (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)))
226.0ms	(* (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)))
60.0ms	(* (+ a 3) (* b b))

simplify968.0ms

Counts

137 → 137

Iterations

Iter	Nodes
3	2706
2	740
1	257
0	109

prune941.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	20
1	20
0	17

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.8s

20442×

body

valid