Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify75.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)
12.9b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite44.0ms

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:

30.0ms	(- (/ (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))

series200.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
30.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
107.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.8s

Counts

117 → 117

Iterations

Useful iterations: done (2.8s)

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

prune378.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.1b	(pow (fma (fma 0.04481 x 0.99229) x 1.0) 3)
9.9b	(cbrt (pow (fma (fma 0.04481 x 0.99229) x 1.0) 3))
12.9b	(/ (fma x 0.27061 2.30753) (cbrt (pow (fma (fma 0.04481 x 0.99229) x 1.0) 3)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
15×	`associate-/r*`
7×	`add-exp-log`
6×	`cube-mult` `unpow3` `add-cbrt-cube` `sqr-pow`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/l*`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 135

Calls

4 calls:

0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
3.0ms	(pow (fma (fma 0.04481 x 0.99229) x 1.0) 3)
2.0ms	(cbrt (pow (fma (fma 0.04481 x 0.99229) x 1.0) 3))
19.0ms	(/ (fma x 0.27061 2.30753) (cbrt (pow (fma (fma 0.04481 x 0.99229) x 1.0) 3)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
76.0ms	(pow (fma (fma 0.04481 x 0.99229) x 1.0) 3)
51.0ms	(cbrt (pow (fma (fma 0.04481 x 0.99229) x 1.0) 3))
114.0ms	(/ (fma x 0.27061 2.30753) (cbrt (pow (fma (fma 0.04481 x 0.99229) x 1.0) 3)))

simplify1.0s

Counts

147 → 147

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	192	3169
1	337	2631
2	894	2359
done	5000	2356

prune550.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

9.9b	(cbrt (pow (* (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3))
12.9b	(/ (fma x 0.27061 2.30753) (cbrt (pow (* (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3)))
13.3b	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
14.0b	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod`
33×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`associate-/r*`
8×	`unpow-prod-down`
6×	`add-exp-log` `sqr-pow`
5×	`cube-mult` `unpow3` `cube-prod` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `rem-cbrt-cube` `div-inv` `unpow2`

Counts

4 → 111

Calls

4 calls:

4.0ms	(cbrt (pow (* (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3))
10.0ms	(/ (fma x 0.27061 2.30753) (cbrt (pow (* (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3)))
1.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2))

series678.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (pow (* (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3))
116.0ms	(/ (fma x 0.27061 2.30753) (cbrt (pow (* (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2)) (cbrt (fma x (fma 0.04481 x 0.99229) 1.0))) 3)))
244.0ms	(cbrt (fma x (fma 0.04481 x 0.99229) 1.0))
276.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 2))

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	272	4299
1	557	3644
2	1532	2727
done	5001	2199

prune737.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

12.8b	(/ (- (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* x x)) (+ (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
12.9b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
12.9b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
12.9b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
43×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r` `associate-/l`
12×	`add-exp-log` `add-cbrt-cube`
5×	`distribute-lft-out` `difference-of-squares`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`flip3--` `flip3-+` `div-sub` `flip--` `flip-+`

Counts

4 → 130

Calls

4 calls:

97.0ms	(/ (- (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* x x)) (+ (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
9.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
10.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
6.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series523.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(/ (- (* (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* x x)) (+ (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
90.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
115.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
99.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify3.1s

Counts

142 → 142

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	199	4698
1	443	4607
2	1332	4251
3	4519	4234
done	5000	4227

prune780.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	14	17
done	14	17

end0.0ms

sample953.0ms

Algorithm

intervals

Results

730.0ms

8000×

body

valid