Details

sample136.0ms

Algorithm

intervals

Results

55.0ms	969×	body	80	nan
19.0ms	304×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	107	18
3	393	18
4	1345	18
5	3431	18
done	5000	18

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.1b	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.1b	(fma x (log y) z)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 30

Calls

3 calls:

0.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms	(fma x (log y) z)

series1.1s

Counts

3 → 9

Calls

3 calls:

690.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
318.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
55.0ms	(fma x (log y) z)

simplify349.0ms

Counts

39 → 39

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	73	593
1	124	586
2	286	502
3	956	494
done	5000	494

prune182.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
0.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))

series862.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
209.0ms	(cbrt (fma x (log y) z))
207.0ms	(cbrt (fma x (log y) z))
215.0ms	(cbrt (fma x (log y) z))

simplify298.0ms

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	118	1361
1	261	1257
2	802	1155