Details

sample39.0ms

Algorithm

intervals

Results

21.0ms

336×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	10	244
1	26	244
2	62	204
3	151	179
4	417	179
5	1221	179
6	4460	179
done	5000	179

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:

8.0ms	(- (* x 3.0) 4.0)
6.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)

series188.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x 3.0) 4.0)
51.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))
66.0ms	(fma x (- (* x 3.0) 4.0) 1.0)

simplify1.2s

Counts

59 → 59

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	100	13676
1	239	11667
2	881	11164
done	5001	10994

prune281.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

16.0ms	(+ 3.0 (* x (- (* 9.0 x) 12.0)))
14.0ms	(- (* 9.0 x) 12.0)
46.0ms	(* x (- (* 9.0 x) 12.0))

series238.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ 3.0 (* x (- (* 9.0 x) 12.0)))
76.0ms	(- (* 9.0 x) 12.0)
111.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.9s

Counts

85 → 85

Iterations

Useful iterations: 2 (384.0ms)

Iter	Nodes	Cost
0	125	20107
1	329	16612
2	1604	14388
done	5000	14388

prune318.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 3.0 (+ (* x (* 9.0 x)) (* x (- 12.0))))
0.0b	(+ (* x (* 9.0 x)) (* x (- 12.0)))
0.2b	(* x (* 9.0 x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`sum-log` `fma-def` `distribute-rgt-neg-out`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `flip-+` `distribute-lft-out`
1×	`associate-+r+` `associate-r` `*-commutative`

Counts

3 → 58

Calls

3 calls:

36.0ms	(+ 3.0 (+ (* x (* 9.0 x)) (* x (- 12.0))))
21.0ms	(+ (* x (* 9.0 x)) (* x (- 12.0)))
21.0ms	(* x (* 9.0 x))

series166.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ 3.0 (+ (* x (* 9.0 x)) (* x (- 12.0))))
97.0ms	(+ (* x (* 9.0 x)) (* x (- 12.0)))
41.0ms	(* x (* 9.0 x))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	90	16154
1	265	11308
2	1270	10658
done	5001	10593

prune353.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.2b	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

7.0ms	(- (* x 3.0) 4.0)
51.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
14.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

series329.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* x 3.0) 4.0)
113.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
57.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
91.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

simplify2.0s

Counts

94 → 94

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	143	30105
1	391	27198
2	1978	26575
done	5002	21535

prune397.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	244
1	17	244
2	21	244
3	22	244
done	22	244

end0.0ms

sample932.0ms

Algorithm

intervals

Results

718.0ms

10682×

body

valid