Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

442×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (235.0ms)

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)))
0.2b	(* 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))

series95.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
19.0ms	(* 3 (* x.im x.re))

simplify3.2s

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

prune74.0ms

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)

rewrite18.0ms

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)))
17.0ms	(* (* 3 x.im) x.re)

series95.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
22.0ms	(* (* 3 x.im) x.re)

simplify2.6s

Counts

36 → 36

Iterations

Useful iterations: 2 (84.0ms)

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

prune78.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))

rewrite82.0ms

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)))
19.0ms	(* (cbrt 3) (* x.im x.re))

series241.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
66.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
42.0ms	(* (cbrt 3) (* x.im x.re))

simplify2.4s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.3s)

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

prune136.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 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))
0.2b	(* (* (cbrt 3) x.im) x.re)
0.3b	(* (cbrt 3) x.im)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) x.im) x.re)) (- (pow x.im 3)))
69.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) x.im) x.re))
21.0ms	(* (* (cbrt 3) x.im) x.re)
9.0ms	(* (cbrt 3) x.im)

series281.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) x.im) x.re)) (- (pow x.im 3)))
65.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) x.im) x.re))
45.0ms	(* (* (cbrt 3) x.im) x.re)
40.0ms	(* (cbrt 3) x.im)

simplify3.9s

Counts

96 → 96

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	110	1150
1	259	1113
2	1065	787
3	4791	656
done	5000	656

prune174.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.1b 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	11
1	10	11
done	10	11

end0.0ms

sample856.0ms

Algorithm

intervals

Results

544.0ms

14197×

body

valid