Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

468×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 6 (452.0ms)

Iter	Nodes	Cost
0	11	19
1	24	18
2	59	17
3	152	16
4	397	14
5	935	11
6	2643	10
done	5001	10

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
0.3b	(* -3 (* x.re x.im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
6.0ms	(* -3 (* x.re x.im))

series95.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
18.0ms	(* -3 (* x.re x.im))

simplify995.0ms

Counts

36 → 36

Iterations

Useful iterations: 3 (213.0ms)

Iter	Nodes	Cost
0	57	338
1	136	327
2	469	285
3	1938	282
done	5000	282

prune79.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
0.2b	(* (* -3 x.re) x.im)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
6.0ms	(* (* -3 x.re) x.im)

series95.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
17.0ms	(* (* -3 x.re) x.im)

simplify2.4s

Counts

36 → 36

Iterations

Useful iterations: 3 (326.0ms)

Iter	Nodes	Cost
0	60	341
1	137	328
2	597	286
3	3205	283
done	5001	283

prune84.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* -3 (* x.im (* x.re x.im))) (pow x.re 3))
0.1b	(* x.im (* x.re x.im))
0.2b	(* -3 (* x.im (* x.re x.im)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 57

Calls

3 calls:

17.0ms	(+ (* -3 (* x.im (* x.re x.im))) (pow x.re 3))
6.0ms	(* x.im (* x.re x.im))
15.0ms	(* -3 (* x.im (* x.re x.im)))

series110.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (* -3 (* x.im (* x.re x.im))) (pow x.re 3))
17.0ms	(* x.im (* x.re x.im))
21.0ms	(* -3 (* x.im (* x.re x.im)))

simplify3.0s

Counts

66 → 66

Iterations

Useful iterations: 3 (515.0ms)

Iter	Nodes	Cost
0	87	703
1	241	638
2	956	556
3	4689	549
done	5000	549

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma -3 (* x.im (* x.re x.im)) (pow x.re 3))
0.1b	(* x.im (* x.re x.im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma -3 (* x.im (* x.re x.im)) (pow x.re 3))
6.0ms	(* x.im (* x.re x.im))

series87.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(fma -3 (* x.im (* x.re x.im)) (pow x.re 3))
17.0ms	(* x.im (* x.re x.im))

simplify769.0ms

Counts

36 → 36

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	52	338
1	113	333
2	384	285
3	1225	282
done	5002	282

prune76.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10
done	10	10

end0.0ms

sample717.0ms

Algorithm

intervals

Results

498.0ms

14504×

body

valid