Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

461×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (239.0ms)

Iter	Nodes	Cost
0	11	19
1	23	17
2	52	16
3	122	16
4	315	13
5	858	11
6	2015	11
done	5000	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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

series100.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
22.0ms	(* 3 (* x.im x.re))

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	55	350
1	124	339
2	393	295
3	1403	295
4	4251	295
done	5000	295

prune80.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
20.0ms	(* (* 3 x.im) x.re)

series99.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
20.0ms	(* (* 3 x.im) x.re)

simplify2.6s

Counts

36 → 36

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	59	353
1	131	340
2	473	296
3	1795	296
done	5001	296

prune81.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
0.3b	(* (cbrt 3) (* x.im x.re))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

0.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
60.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
18.0ms	(* (cbrt 3) (* x.im x.re))

series255.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
64.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
50.0ms	(* (cbrt 3) (* x.im x.re))

simplify2.7s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	88	987
1	214	953
2	810	655
3	3442	530
done	5000	530

prune135.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
42×	`add-cbrt-cube`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
19×	`associate-l`
12×	`sqrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 101

Calls

4 calls:

0.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im x.re)))) (- (pow x.im 3)))
54.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im x.re)))
21.0ms	(* (sqrt (cbrt 3)) (* x.im x.re))
155.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im x.re))))

series333.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im x.re)))) (- (pow x.im 3)))
48.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im x.re)))
76.0ms	(* (sqrt (cbrt 3)) (* x.im x.re))
70.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* x.im x.re))))

simplify1.7s

Counts

113 → 113

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	121	1990
1	307	1486
2	1317	1005
done	5000	866

prune234.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	17	22
done	17	22

end0.0ms

sample821.0ms

Algorithm

intervals

Results

508.0ms

14518×

body

valid