Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

350×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	61	11
3	143	10
4	246	10
5	309	10
6	356	10
7	435	10
8	591	10
9	908	10
10	1084	10
11	1158	10
12	1159	10
done	1159	10

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

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))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

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

series123.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* x 3.0) 4.0)
33.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
46.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify971.0ms

Counts

59 → 59

Iterations

Useful iterations: 3 (246.0ms)

Iter	Nodes	Cost
0	100	687
1	210	644
2	503	563
3	1830	555
done	5000	555

prune132.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

3.0ms	(- (* 9.0 x) 12.0)
4.0ms	(+ 3.0 (* x (- (* 9.0 x) 12.0)))
13.0ms	(* x (- (* 9.0 x) 12.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* 9.0 x) 12.0)
28.0ms	(+ 3.0 (* x (- (* 9.0 x) 12.0)))
64.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: 3 (419.0ms)

Iter	Nodes	Cost
0	125	986
1	270	843
2	691	738
3	2818	727
done	5001	727

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `distribute-rgt-neg-out` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

2 → 29

Calls

2 calls:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (fma 9.0 (* x x) 3.0) (* x (- 12.0)))
53.0ms	(fma 9.0 (* x x) 3.0)

simplify1.2s

Counts

35 → 35

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	47	390
1	117	351
2	434	328
3	1896	319
done	5000	304

prune81.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0)) 1.0)
0.1b	(* 3.0 (fma x (/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0)) 1.0))
0.2b	(/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0))
0.2b	(* (fma x 3.0 4.0) (fma 3.0 x (- 4.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l`
5×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma x (/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0)) 1.0)
3.0ms	(* 3.0 (fma x (/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0)) 1.0))
4.0ms	(/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0))
3.0ms	(* (fma x 3.0 4.0) (fma 3.0 x (- 4.0)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma x (/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0)) 1.0)
43.0ms	(* 3.0 (fma x (/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0)) 1.0))
41.0ms	(/ (* (fma x 3.0 4.0) (fma 3.0 x (- 4.0))) (fma x 3.0 4.0))
121.0ms	(* (fma x 3.0 4.0) (fma 3.0 x (- 4.0)))

simplify3.2s

Counts

89 → 89

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	124	1707
1	263	1688
2	1012	1050
3	4759	945
done	5000	945

prune229.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample371.0ms

Algorithm

intervals

Results

256.0ms

10650×

body

valid