Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

338×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (40.0ms)

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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

11.0ms	(- (* x 3.0) 4.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
13.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series184.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x 3.0) 4.0)
41.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
71.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.7s

Counts

59 → 59

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	100	687
1	214	644
2	505	563
3	1884	555
done	5000	546

prune189.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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)

series104.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma x 9.0 (- 12.0))
35.0ms	(fma x (fma x 9.0 (- 12.0)) 3.0)

simplify1.6s

Counts

26 → 26

Iterations

Useful iterations: 2 (36.0ms)

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

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

44.0ms	(+ (* (* x (- (* x 3.0) 4.0)) 3.0) (* 1.0 3.0))
9.0ms	(- (* x 3.0) 4.0)
87.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)
58.0ms	(* x (- (* x 3.0) 4.0))

series311.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* (* x (- (* x 3.0) 4.0)) 3.0) (* 1.0 3.0))
65.0ms	(- (* x 3.0) 4.0)
140.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)
80.0ms	(* x (- (* x 3.0) 4.0))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	152	1280
1	363	1108
2	1155	979
done	5000	962

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate-l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `fma-def` `associate-l/` `sum-log` `-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `pow-exp`

Counts

4 → 82

Calls

4 calls:

35.0ms	(+ (* (+ (* 3.0 (pow x 2)) (* x (- 4.0))) 3.0) (* 1.0 3.0))
16.0ms	(+ (* 3.0 (pow x 2)) (* x (- 4.0)))
32.0ms	(* (+ (* 3.0 (pow x 2)) (* x (- 4.0))) 3.0)
21.0ms	(* 3.0 (pow x 2))

series318.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* (+ (* 3.0 (pow x 2)) (* x (- 4.0))) 3.0) (* 1.0 3.0))
111.0ms	(+ (* 3.0 (pow x 2)) (* x (- 4.0)))
127.0ms	(* (+ (* 3.0 (pow x 2)) (* x (- 4.0))) 3.0)
34.0ms	(* 3.0 (pow x 2))

simplify1.6s

Counts

94 → 94

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	132	1271
1	352	1099
2	1215	984
done	5000	869

prune269.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes15.0ms

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

sample1.3s

Algorithm

intervals

Results

1.1s

10754×

body

valid