Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	50	14
3	66	14
4	72	14
done	72	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)
13.2b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite48.0ms

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:

37.0ms	(- (/ (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)
5.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series233.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
55.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
92.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.6s

Counts

117 → 117

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	170	3010
1	355	2592
2	780	2330
3	2378	2035
done	5001	1884

prune471.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

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)
0.3b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite15.0ms

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:

1.0ms	(fma (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (- x))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
12.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

series247.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(fma (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (- x))
49.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
97.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.9s

Counts

62 → 62

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	111	925
1	214	864
2	441	742
3	1108	740
4	3896	736
done	5000	736

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
13.2b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
13.2b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
13.2b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
69×	`times-frac`
64×	`cbrt-prod`
60×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
12×	`add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l` `unswap-sqr`
7×	`div-inv`
6×	`pow1/3`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
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 → 167

Calls

4 calls:

36.0ms	(* (cbrt (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
5.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
7.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
11.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series631.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (cbrt (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))))
124.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
103.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
98.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.5s

Counts

179 → 179

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	229	4993
1	444	4778
2	1227	4492
3	3284	4154
done	5000	4121

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8000×

body

valid