Details

sample41.0ms

Algorithm

intervals

Results

22.0ms

365×

body

valid

simplify6.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	10	244
1	26	244
2	61	204
3	142	179
4	318	179
5	551	179
6	690	179
7	764	179
8	947	179
9	1467	179
10	2586	179
11	4353	179
done	5000	179

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-diff` `fma-udef` `log1p-expm1-u`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

7.0ms	(- (* x 3.0) 4.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
6.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series169.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x 3.0) 4.0)
41.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
61.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify3.1s

Counts

59 → 59

Iterations

Useful iterations: 3 (905.0ms)

Iter	Nodes	Cost
0	100	13676
1	236	11667
2	628	11164
3	2488	10964
done	5000	10964

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma 9.0 (* x x) 3.0) (* 12.0 x))
0.1b	(fma 9.0 (* x x) 3.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 31

Calls

2 calls:

5.0ms	(- (fma 9.0 (* x x) 3.0) (* 12.0 x))
0.0ms	(fma 9.0 (* x x) 3.0)

series149.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (fma 9.0 (* x x) 3.0) (* 12.0 x))
105.0ms	(fma 9.0 (* x x) 3.0)

simplify3.2s

Counts

37 → 37

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	54	9365
1	137	7788
2	425	7557
3	1892	7332
done	5007	6742

prune183.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x (- (* 9.0 x) 12.0) 3.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (- (* 9.0 x) 12.0) 3.0)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(fma x (- (* 9.0 x) 12.0) 3.0)

simplify2.8s

Counts

13 → 13

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	23	3159
1	43	2571
2	97	2571
3	272	2451
4	1196	2451
done	5009	2451

prune71.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma x (- (* x 3.0) 4.0) 1.0)) (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))
0.2b	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
0.2b	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
0.2b	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

13.0ms	(* (cbrt (fma x (- (* x 3.0) 4.0) 1.0)) (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))
1.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
1.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
1.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

series796.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (fma x (- (* x 3.0) 4.0) 1.0)) (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))
159.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
193.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
223.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

simplify232.0ms

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	150	41081