Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

328×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	62	11
3	144	10
4	264	10
5	334	10
6	378	10
7	456	10
8	763	10
9	1240	10
10	1578	10
11	1608	10
done	1608	10

prune4.0ms

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) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

7.0ms	(- (* (* x 3.0) x) (* x 4.0))
99.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
7.0ms	(* (* x 3.0) x)

series140.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (* (* x 3.0) x) (* x 4.0))
33.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
28.0ms	(* (* x 3.0) x)

simplify561.0ms

Counts

70 → 70

Iterations

Useful iterations: done (557.0ms)

Iter	Nodes	Cost
0	115	883
1	308	833
2	1224	671
done	5000	667

prune146.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

7.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
12.0ms	(* x (- (* x 9.0) 12.0))

series95.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
65.0ms	(* x (- (* x 9.0) 12.0))

simplify3.1s

Counts

62 → 62

Iterations

Useful iterations: 3 (494.0ms)

Iter	Nodes	Cost
0	115	791
1	267	655
2	870	570
3	4507	564
done	5000	564

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

45×	`distribute-rgt-in` `distribute-lft-in`
33×	`prod-diff`
20×	`add-sqr-sqrt` `associate-+l+`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
8×	`add-log-exp`
6×	`associate-r/` `associate-l*`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `fma-neg` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

18.0ms	(+ (* 3.0 (* x (- (* x 3.0) 4.0))) (* 1.0 3.0))
3.0ms	(- (* x 3.0) 4.0)
12.0ms	(* x (- (* x 3.0) 4.0))
19.0ms	(* 3.0 (* x (- (* x 3.0) 4.0)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* 3.0 (* x (- (* x 3.0) 4.0))) (* 1.0 3.0))
56.0ms	(- (* x 3.0) 4.0)
81.0ms	(* x (- (* x 3.0) 4.0))
103.0ms	(* 3.0 (* x (- (* x 3.0) 4.0)))

simplify924.0ms

Counts

138 → 138

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	196	2032
1	479	1679
2	1777	1417
done	5000	1417

prune256.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma 9.0 (pow x 2) 3.0) (* 12.0 x))
0.0b	(fma 9.0 (pow x 2) 3.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

3.0ms	(- (fma 9.0 (pow x 2) 3.0) (* 12.0 x))
0.0ms	(fma 9.0 (pow x 2) 3.0)

series78.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- (fma 9.0 (pow x 2) 3.0) (* 12.0 x))
49.0ms	(fma 9.0 (pow x 2) 3.0)

simplify948.0ms

Counts

37 → 37

Iterations

Useful iterations: done (947.0ms)

Iter	Nodes	Cost
0	52	468
1	114	444
2	393	407
3	2052	373
done	5001	370

prune81.0ms

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	9	10
1	10	10
done	10	10

end0.0ms

sample369.0ms

Algorithm

intervals

Results

257.0ms

10691×

body

valid