Details

analyze33.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample56.0ms (2.4%)

Algorithm

1×

intervals

Results

49.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify15.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	23	11
5	24	11
6	29	11
7	22	11

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 24 to 21 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (-.f64 (/.f64 1 x) 1))
✓	0.0b	(-.f64 (/.f64 1 x) 1)

rewrite100.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
45×	`add-cube-cbrt_binary64`
39×	`prod-diff_binary64`

Counts

2 → 110

Calls

2 calls:

20.0ms	(-.f64 (/.f64 1 x) 1)
7.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))

series5.0ms (0.2%)

Counts

2 → 15

Calls

2 calls:

2.0ms	(-.f64 (/.f64 1 x) 1)
2.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))

simplify199.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
430×	`times-frac_binary64`
322×	`cancel-sign-sub-inv_binary64`
267×	`distribute-rgt-in_binary64`
228×	`associate-*l/_binary64`

Counts

125 → 234

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	1953
1	197	1351
2	471	1333
3	1400	1269
4	4255	1265
5	4984	1265
6	4949	1265

prune236.0ms (9.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	233	1	234
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	233	2	235

Error

Counts

235 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	0.0b	(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))

Compiler

Compiled 2723 to 2309 computations (15.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
✓	5.6b	(expm1.f64 (neg.f64 (log.f64 x)))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
3×	`add-exp-log_binary64`

Counts

2 → 25

Calls

2 calls:

1.0ms	(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
0.0ms	(expm1.f64 (neg.f64 (log.f64 x)))

series831.0ms (35%)

Counts

2 → 24

Calls

2 calls:

560.0ms	(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
271.0ms	(expm1.f64 (neg.f64 (log.f64 x)))

simplify100.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
356×	`cancel-sign-sub-inv_binary64`
296×	`fma-def_binary64`
205×	`exp-sum_binary64`
197×	`unsub-neg_binary64`

Counts

49 → 80

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	502
1	59	460
2	97	460
3	206	460
4	482	460
5	1883	460
6	4437	460
7	4816	460
8	4958	460

prune14.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Error

Counts

82 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.0b	(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))

Compiler

Compiled 334 to 139 computations (58.4% saved)

regimes38.0ms (1.6%)

Accuracy

Total 0.0b remaining (53.2%)

Threshold costs 0.0b (53.2%)

Compiler

Compiled 249 to 204 computations (18.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	18	11
4	16	11

end0.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

sample724.0ms (30.5%)

Algorithm

1×

intervals

Results

409.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 33 to 29 computations (12.1% saved)

Details

analyze33.0ms (1.4%)

sample56.0ms (2.4%)

simplify15.0ms (0.6%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite100.0ms (4.2%)

series5.0ms (0.2%)

simplify199.0ms (8.4%)

prune236.0ms (9.9%)

localize8.0ms (0.3%)

rewrite2.0ms (0.1%)

series831.0ms (35%)

simplify100.0ms (4.2%)

prune14.0ms (0.6%)

regimes38.0ms (1.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample724.0ms (30.5%)

Profiling