Details

sample128.0ms

Algorithm

intervals

Results

39.0ms	663×	body	80	valid
31.0ms	655×	body	80	nan

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	8	263
1	17	263
2	37	238
3	71	238
4	114	238
5	310	238
6	1559	238
done	5001	238

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma y (log y) x) z)
0.0b	(exp (- (fma y (log y) x) z))
0.1b	(fma y (log y) x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
12×	`exp-sum`
8×	`add-log-exp`
5×	`exp-prod`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `add-exp-log` `fma-udef` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate--l+` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`
1×	`flip3--` `exp-diff` `flip--`

Counts

3 → 68

Calls

3 calls:

11.0ms	(- (fma y (log y) x) z)
26.0ms	(exp (- (fma y (log y) x) z))
1.0ms	(fma y (log y) x)

series202.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (fma y (log y) x) z)
57.0ms	(exp (- (fma y (log y) x) z))
93.0ms	(fma y (log y) x)

simplify1.0s

Counts

77 → 77

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	113	25219
1	236	22792
2	714	19283
done	5000	18826

prune399.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (sqrt (- (fma y (log y) x) z)))
0.0b	(pow (exp (sqrt (- (fma y (log y) x) z))) (sqrt (- (fma y (log y) x) z)))
0.1b	(fma y (log y) x)
0.1b	(fma y (log y) x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`exp-prod`
15×	`sqrt-prod`
11×	`add-cube-cbrt`
9×	`pow-pow`
8×	`pow-unpow`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`unpow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`fma-udef`
1×	`pow-to-exp` `pow-exp` `sqr-pow` `rem-exp-log`

Counts

4 → 70

Calls

4 calls:

22.0ms	(exp (sqrt (- (fma y (log y) x) z)))
48.0ms	(pow (exp (sqrt (- (fma y (log y) x) z))) (sqrt (- (fma y (log y) x) z)))
0.0ms	(fma y (log y) x)
1.0ms	(fma y (log y) x)

series285.0ms

Calls

2 calls:

86.0ms	(fma y (log y) x)
104.0ms	(fma y (log y) x)