Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

342×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (33.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite406.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

384.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
20.0ms	(* (* x 3.0) x)

series80.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
36.0ms	(* (* x 3.0) x)

simplify3.4s

Counts

51 → 51

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	89	627
1	233	614
2	801	480
3	3278	455
done	5001	452

prune144.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

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

series106.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma x 9.0 (- 12.0))
39.0ms	(fma x (fma x 9.0 (- 12.0)) 3.0)

simplify1.5s

Counts

26 → 26

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	35	238
1	55	235
2	120	203
3	387	203
4	1961	203
done	5000	203

prune89.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

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:

9.0ms	(- (* x 3.0) 4.0)
51.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)
65.0ms	(* x (- (* x 3.0) 4.0))

series304.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* x 3.0) 4.0)
130.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)
108.0ms	(* x (- (* x 3.0) 4.0))

simplify3.3s

Counts

81 → 81

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	126	957
1	271	859
2	771	734
3	3338	699
done	5001	686

prune204.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

139.0ms	(* 3.0 (+ (- (* 3.0 (pow x 2)) (* x 4.0)) 1.0))
19.0ms	(* 3.0 (pow x 2))

series85.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* 3.0 (+ (- (* 3.0 (pow x 2)) (* x 4.0)) 1.0))
37.0ms	(* 3.0 (pow x 2))

simplify2.6s

Counts

60 → 60

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	100	702
1	245	671
2	719	586
3	3142	531
done	5000	503

prune174.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes21.0ms

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
done	7	8

end0.0ms

sample974.0ms

Algorithm

intervals

Results

711.0ms

10699×

body

valid