Details

sample62.0ms

Algorithm

intervals

Results

38.0ms

432×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (377.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
0.3b	(* 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-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)))
19.0ms	(* 3 (* x.im x.re))

series148.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
30.0ms	(* 3 (* x.im x.re))

simplify5.2s

Counts

36 → 36

Iterations

Useful iterations: 2 (81.0ms)

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

prune127.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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)))
22.0ms	(* (* 3 x.im) x.re)

series120.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
21.0ms	(* (* 3 x.im) x.re)

simplify4.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (137.0ms)

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

prune115.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re))))
14.4b	(cbrt (* 3 (* x.im x.re)))
14.4b	(cbrt (* 3 (* x.im x.re)))
14.4b	(cbrt (* 3 (* x.im x.re)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

47.0ms	(* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re))))
11.0ms	(cbrt (* 3 (* x.im x.re)))
11.0ms	(cbrt (* 3 (* x.im x.re)))
19.0ms	(cbrt (* 3 (* x.im x.re)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (* 3 (* x.im x.re))) (cbrt (* 3 (* x.im x.re))))
127.0ms	(cbrt (* 3 (* x.im x.re)))
136.0ms	(cbrt (* 3 (* x.im x.re)))
149.0ms	(cbrt (* 3 (* x.im x.re)))

simplify3.5s

Counts

78 → 78

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	90	926
1	212	832
2	544	736
3	1440	648
4	4055	603
done	5000	570

prune340.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

14.4b	(cbrt (* 3 (* x.im x.re)))
14.4b	(cbrt (* 3 (* x.im x.re)))
14.4b	(cbrt (* 3 (* x.im x.re)))
14.4b	(cbrt (* 3 (* x.im x.re)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

11.0ms	(cbrt (* 3 (* x.im x.re)))
11.0ms	(cbrt (* 3 (* x.im x.re)))
11.0ms	(cbrt (* 3 (* x.im x.re)))
11.0ms	(cbrt (* 3 (* x.im x.re)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (* 3 (* x.im x.re)))
146.0ms	(cbrt (* 3 (* x.im x.re)))
145.0ms	(cbrt (* 3 (* x.im x.re)))
145.0ms	(cbrt (* 3 (* x.im x.re)))

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 5 (858.0ms)

Iter	Nodes	Cost
0	43	524
1	90	516
2	175	464
3	418	436
4	848	404
5	2146	384
done	5000	384

prune316.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

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

sample2.2s

Algorithm

intervals

Results

1.7s

14464×

body

valid