Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	45	14
3	59	14
4	65	14
done	65	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
15.8b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
52×	`add-cube-cbrt`
46×	`times-frac`
39×	`prod-diff`
13×	`fma-neg`
5×	`add-exp-log` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `fma-udef` `distribute-lft-out--`

Counts

3 → 108

Calls

3 calls:

14.0ms	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
67.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.8s

Counts

117 → 117

Iterations

Useful iterations: 3 (750.0ms)

Iter	Nodes	Cost
0	170	3010
1	351	2592
2	821	2330
3	2604	2035
done	5000	2035

prune269.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (- x))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-exp` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `div-inv` `inv-pow`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (- x))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(fma (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (- x))
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
50.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.3s

Counts

62 → 62

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	111	925
1	215	874
2	477	742
3	1171	740
4	4192	738
done	5000	738

prune151.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
16.1b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
16.1b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
16.1b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

18.0ms	(* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
2.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series668.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
164.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
161.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
170.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify1.6s

Counts

173 → 173

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	230	4738
1	474	4359
2	1342	4168
3	4820	3709
done	5000	3705

prune521.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
15.7b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.7b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.8b	(/ (fma x 0.27061 2.30753) (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `div-inv`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
6.0ms	(/ (fma x 0.27061 2.30753) (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
88.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
87.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
66.0ms	(/ (fma x 0.27061 2.30753) (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))

simplify2.3s

Counts

116 → 116

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	146	2356
1	317	1566
2	973	1370
3	3761	1312
done	5001	1312

prune273.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	15	16
done	15	16

end0.0ms

sample345.0ms

Algorithm

intervals

Results

255.0ms

8000×

body

valid