Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	39	14
3	58	14
4	82	14
5	92	14
6	114	14
7	144	14
8	192	14
9	318	14
10	477	14
11	718	14
12	1096	14
13	2406	14
done	5000	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
15.6b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`div-inv`
3×	`pow1` `expm1-log1p-u` `fma-neg` `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 → 98

Calls

3 calls:

8.0ms	(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
6.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series148.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
29.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
62.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify777.0ms

Counts

107 → 107

Iterations

Useful iterations: done (769.0ms)

Iter	Nodes	Cost
0	209	4807
1	493	4294
2	1675	3078
done	5000	3072

prune222.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.1b	(pow (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3)
15.6b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
22.9b	(cbrt (pow (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
4.0ms	(pow (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3)
2.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
7.0ms	(cbrt (pow (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3))

series250.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
92.0ms	(pow (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3)
65.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
62.0ms	(cbrt (pow (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3))

simplify777.0ms

Counts

143 → 143

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	188	3328
1	470	2920
2	1827	2611
done	5001	2611

prune328.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))) 3)
0.2b	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
15.3b	(* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))
22.9b	(cbrt (pow (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`add-exp-log`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-cbrt-cube`
13×	`associate-r`
10×	`pow1`
8×	`cbrt-prod` `prod-exp`
6×	`div-exp`
5×	`pow-exp`
4×	`cube-div` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow-unpow` `1-exp` `associate-r/` `associate-l` `associate-/r` `un-div-inv` `associate-/l*` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `div-inv` `sqr-pow`
1×	`pow-to-exp` `pow-flip` `frac-2neg` `pow1/3` `clear-num` `*-commutative` `rem-cbrt-cube` `inv-pow`

Counts

4 → 122

Calls

4 calls:

5.0ms	(pow (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))) 3)
2.0ms	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
11.0ms	(* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))
1.0ms	(cbrt (pow (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))) 3))

series275.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(pow (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))) 3)
51.0ms	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))
62.0ms	(* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)))
68.0ms	(cbrt (pow (* (fma x 0.27061 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))) 3))

simplify814.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	194	2453
1	444	1972
2	1605	1809
done	5000	1809

prune329.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	19	19
done	19	19

end0.0ms

sample337.0ms

Algorithm

intervals

Results

244.0ms

8000×

body

valid