Details

sample33.0ms

Algorithm

intervals

Results

18.0ms

330×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (34.0ms)

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: 0.1b

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)

rewrite407.0ms

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:

41.0ms	(- (* (* x 3.0) x) (* x 4.0))
343.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
19.0ms	(* (* x 3.0) x)

series261.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(- (* (* x 3.0) x) (* x 4.0))
67.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
40.0ms	(* (* x 3.0) x)

simplify3.9s

Counts

70 → 70

Iterations

Useful iterations: done (3.9s)

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

prune267.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

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)

rewrite11.0ms

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:

10.0ms	(- (* x 9.0) 12.0)
0.0ms	(fma x (- (* x 9.0) 12.0) 3.0)

series102.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (* x 9.0) 12.0)
41.0ms	(fma x (- (* x 9.0) 12.0) 3.0)

simplify3.8s

Counts

34 → 34

Iterations

Useful iterations: 4 (1.9s)

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

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

10.0ms	(- (* x 3.0) 4.0)
41.0ms	(* x (- (* x 3.0) 4.0))
77.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

series323.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* x 3.0) 4.0)
120.0ms	(* x (- (* x 3.0) 4.0))
138.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

simplify3.5s

Counts

81 → 81

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	126	957
1	271	859
2	763	734
3	3282	717
done	5000	698

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

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))

rewrite154.0ms

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:

18.0ms	(- (pow (* 3.0 (pow x 2)) 1) (* x 4.0))
118.0ms	(* 3.0 (+ (- (pow (* 3.0 (pow x 2)) 1) (* x 4.0)) 1.0))
15.0ms	(* 3.0 (pow x 2))

series234.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(- (pow (* 3.0 (pow x 2)) 1) (* x 4.0))
61.0ms	(* 3.0 (+ (- (pow (* 3.0 (pow x 2)) 1) (* x 4.0)) 1.0))
33.0ms	(* 3.0 (pow x 2))

simplify1.6s

Counts

87 → 87

Iterations

Useful iterations: done (1.6s)

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

prune298.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample986.0ms

Algorithm

intervals

Results

719.0ms

10631×

body

valid