Details

sample30.0ms

Algorithm

intervals

Results

19.0ms

337×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	10	13
1	27	13
2	63	11
3	151	10
4	291	10
5	356	10
6	420	10
7	532	10
8	696	10
9	944	10
10	1139	10
11	1218	10
12	1219	10
done	1219	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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))
0.1b	(* (* x 3.0) x)

rewrite443.0ms

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:

25.0ms	(- (* (* x 3.0) x) (* x 4.0))
396.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
20.0ms	(* (* x 3.0) x)

series239.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(- (* (* x 3.0) x) (* x 4.0))
65.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
44.0ms	(* (* x 3.0) x)

simplify3.7s

Counts

70 → 70

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	115	883
1	303	833
2	1014	671
3	4222	641
done	5000	638

prune206.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

21.0ms	(- (* x 9.0) 12.0)
1.0ms	(fma x (- (* x 9.0) 12.0) 3.0)

series91.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (* x 9.0) 12.0)
35.0ms	(fma x (- (* x 9.0) 12.0) 3.0)

simplify3.3s

Counts

34 → 34

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	67	353
1	145	316
2	327	275
3	1049	270
4	4308	264
done	5000	264

prune95.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow (* 3.0 (pow x 2)) 1) (* x 4.0))
0.1b	(* 3.0 (+ (- (pow (* 3.0 (pow x 2)) 1) (* x 4.0)) 1.0))
0.2b	(* 3.0 (pow x 2))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`-un-lft-identity` `associate-r*`
10×	`add-exp-log` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`unpow-prod-down` `associate-l`
5×	`pow1` `fma-neg` `prod-diff` `add-log-exp` `unswap-sqr`
4×	`prod-exp` `sqr-pow`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2`
1×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 78

Calls

3 calls:

16.0ms	(- (pow (* 3.0 (pow x 2)) 1) (* x 4.0))
157.0ms	(* 3.0 (+ (- (pow (* 3.0 (pow x 2)) 1) (* x 4.0)) 1.0))
26.0ms	(* 3.0 (pow x 2))

series182.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- (pow (* 3.0 (pow x 2)) 1) (* x 4.0))
40.0ms	(* 3.0 (+ (- (pow (* 3.0 (pow x 2)) 1) (* x 4.0)) 1.0))
32.0ms	(* 3.0 (pow x 2))

simplify1.1s

Counts

87 → 87

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	140	1193
1	342	995
2	1054	898
done	5000	793

prune340.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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×	`add-cube-cbrt` `*-un-lft-identity`
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:

10.0ms	(- (* x 3.0) 4.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
51.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
16.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

series346.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 3.0) 4.0)
47.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
111.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
113.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

simplify4.5s

Counts

94 → 94

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	143	1490
1	345	1436
2	1054	1111
3	4241	973
done	5000	970

prune365.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

10623×

body

valid