Details

sample70.0ms

Algorithm

intervals

Results

43.0ms

453×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 5 (898.0ms)

Iter	Nodes	Cost
0	11	19
1	24	18
2	66	17
3	180	17
4	533	14
5	1954	11
done	5000	11

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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×	`distribute-lft-neg-out` `associate-r` `*-commutative` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x.im (* 3 (* (- x.im) x.re)) (pow x.re 3))
25.0ms	(* 3 (* (- x.im) x.re))

series168.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(fma x.im (* 3 (* (- x.im) x.re)) (pow x.re 3))
29.0ms	(* 3 (* (- x.im) x.re))

simplify748.0ms

Counts

37 → 37

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	59	382
1	147	361
2	647	294
done	5000	289

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

6.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
34.0ms	(* (* -3 x.im) x.re)

series138.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(fma x.im (* (* -3 x.im) x.re) (pow x.re 3))
28.0ms	(* (* -3 x.im) x.re)

simplify734.0ms

Counts

36 → 36

Iterations

Useful iterations: done (733.0ms)

Iter	Nodes	Cost
0	59	341
1	143	328
2	856	288
done	5000	283

prune131.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3))) (cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3))))
14.5b	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
14.5b	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
14.5b	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3))) (cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3))))
5.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))

series849.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3))) (cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3))))
202.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
209.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
210.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))

simplify5.4s

Counts

93 → 93

Iterations

Useful iterations: done (5.4s)

Iter	Nodes	Cost
0	95	1990
1	214	1849
2	695	1692
3	4071	1447
done	5000	1430

prune512.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

14.5b	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
14.5b	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
14.5b	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
14.5b	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
1.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))

series865.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
212.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
226.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))
216.0ms	(cbrt (fma x.im (* -3 (* x.im x.re)) (pow x.re 3)))

simplify2.1s

Counts

64 → 64

Iterations

Useful iterations: 4 (708.0ms)

Iter	Nodes	Cost
0	46	1008
1	91	988
2	177	900
3	544	876
4	2836	848
done	5000	848

prune379.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.1b 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	8	10
1	10	10
done	10	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

14460×

body

valid