Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

334×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (26.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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))

rewrite17.0ms

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:

9.0ms	(- (* x 3.0) 4.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
7.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series125.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x 3.0) 4.0)
34.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
49.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.2s

Counts

59 → 59

Iterations

Useful iterations: done (1.2s)

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

prune129.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)

series85.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma x 9.0 (- 12.0))
41.0ms	(fma x (fma x 9.0 (- 12.0)) 3.0)

simplify984.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (20.0ms)

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

prune74.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)

rewrite86.0ms

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:

8.0ms	(- (* x 3.0) 4.0)
31.0ms	(* x (- (* x 3.0) 4.0))
44.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

series205.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x 3.0) 4.0)
71.0ms	(* x (- (* x 3.0) 4.0))
92.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

simplify2.6s

Counts

81 → 81

Iterations

Useful iterations: done (2.6s)

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

prune159.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.2b	(* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.4b	(* (* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

9.0ms	(- (* x 3.0) 4.0)
30.0ms	(* x (- (* x 3.0) 4.0))
62.0ms	(* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0)))
192.0ms	(* (* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series499.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* x 3.0) 4.0)
72.0ms	(* x (- (* x 3.0) 4.0))
199.0ms	(* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0)))
189.0ms	(* (* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.2s

Counts

122 → 122

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	172	1930
1	398	1739
2	1403	1366
done	5001	1246

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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

sample424.0ms

Algorithm

intervals

Results

270.0ms

10617×

body

valid