Details

sample36.0ms

Algorithm

intervals

Results

20.0ms

341×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	10	13
1	27	13
2	63	11
3	152	10
4	415	10
5	1178	10
6	4312	10
done	5000	10

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite26.0ms

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:

10.0ms	(- (* x 3.0) 4.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
14.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series196.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* x 3.0) 4.0)
65.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
59.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.3s

Counts

59 → 59

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	100	687
1	239	647
2	891	572
done	5000	562

prune206.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

18.0ms	(- (* x 9.0) 12.0)
52.0ms	(* x (- (* x 9.0) 12.0))

series156.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- (* x 9.0) 12.0)
96.0ms	(* x (- (* x 9.0) 12.0))

simplify961.0ms

Counts

56 → 56

Iterations

Useful iterations: done (958.0ms)

Iter	Nodes	Cost
0	95	644
1	242	558
2	1159	490
done	5002	489

prune182.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 (pow x 2)) (* 12.0 x))
0.3b	(* 9.0 (pow x 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

13.0ms	(- (* 9.0 (pow x 2)) (* 12.0 x))
14.0ms	(* 9.0 (pow x 2))

series129.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(- (* 9.0 (pow x 2)) (* 12.0 x))
38.0ms	(* 9.0 (pow x 2))

simplify949.0ms

Counts

51 → 51

Iterations

Useful iterations: done (947.0ms)

Iter	Nodes	Cost
0	83	500
1	200	456
2	870	409
done	5000	377

prune151.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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:

18.0ms	(- (* x 3.0) 4.0)
55.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
20.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

series355.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* x 3.0) 4.0)
117.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
69.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
108.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.7s

Counts

94 → 94

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	143	1490
1	392	1439
2	1957	1124
done	5000	1017

prune290.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample883.0ms

Algorithm

intervals

Results

639.0ms

10776×

body

valid