Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

310×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (58.0ms)

Iter	Nodes	Cost
0	10	205
1	20	205
2	48	205
3	103	195
4	210	180
5	359	180
6	542	180
7	777	180
8	1144	180
9	1813	180
10	2737	180
11	3395	180
12	3703	180
13	4053	180
14	4392	180
15	4748	180
done	5000	180

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))

simplify2.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	25	2936
1	44	2861
2	104	2831
3	312	2831
4	1388	2831
done	5013	2831

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))) (cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))))
0.4b	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))
0.4b	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))
0.4b	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

9.0ms	(* (cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))) (cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))))
1.0ms	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))
1.0ms	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))
1.0ms	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))) (cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0)))))
105.0ms	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))
132.0ms	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))
132.0ms	(cbrt (fma y (- x 0.5) (- 0.918938533204673 (* x 1.0))))

simplify192.0ms

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	128	36898