Details

sample31.0ms

Algorithm

intervals

Results

7.0ms	239×	body	80	valid
5.0ms	18×	body	320	valid
2.0ms	21×	body	640	valid
2.0ms	15×	body	1280	valid
1.0ms	17×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	7	163
1	13	163
2	29	138
3	84	138
4	266	138
5	705	138
6	1823	138
done	5001	138

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.8b

localize14.0ms

Local error

Found 1 expressions with local error:

3.2b	(fma (- 1.0 y) (- 1.0 x) x)

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 (- 1.0 y) (- 1.0 x) x)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma (- 1.0 y) (- 1.0 x) x)

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	20	2514
1	34	2514
2	86	2394
3	297	2319
4	1637	2319
done	5011	2319

prune96.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x 1.0) 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:

0.0ms

(fma y (- x 1.0) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma y (- x 1.0) 1.0)

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	19	2114
1	31	2114
2	66	1919
3	270	1919
4	1211	1919
done	5002	1919

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
0.3b	(cbrt (fma y (- x 1.0) 1.0))
0.3b	(cbrt (fma y (- x 1.0) 1.0))
0.3b	(cbrt (fma y (- x 1.0) 1.0))

rewrite25.0ms

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:

18.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))

series606.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
125.0ms	(cbrt (fma y (- x 1.0) 1.0))
132.0ms	(cbrt (fma y (- x 1.0) 1.0))
145.0ms	(cbrt (fma y (- x 1.0) 1.0))

simplify131.0ms

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	119	31080