Details

analyze396.0ms (13.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.8s (64.5%)

Results

858.0ms	8256×	body	128	valid
788.0ms	8257×	body	128	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify150.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-neg_binary64`
804×	`unsub-neg_binary64`
461×	`distribute-neg-in_binary64`
434×	`sub-neg_binary64`
338×	`distribute-rgt-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	18	12
2	22	12
3	37	12
4	64	12
5	113	12
6	247	12
7	500	12
8	1560	12
9	2513	12
10	3218	12
11	3602	12
12	3803	12
13	3974	12
14	4075	12
15	4392	12
16	4836	12
17	4898	12
18	4901	12

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

30.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	30.5b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	0.0b	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	28.4b	(sqrt.f64 (fma.f64 x x -1))

series12.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

6.0ms	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
3.0ms	(sqrt.f64 (fma.f64 x x -1))
3.0ms	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
5×	`pow1_binary64`

Counts

3 → 49

Calls

3 calls:

3.0ms	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
1.0ms	(sqrt.f64 (fma.f64 x x -1))

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
330×	`sub-neg_binary64`
301×	`fma-def_binary64`
254×	`distribute-neg-frac_binary64`
210×	`associate-+l+_binary64`

Counts

85 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1395
1	401	1305
2	1052	1265
3	3424	1265
4	4773	1265
5	4915	1265

prune62.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Error

Counts

119 → 3

Alt Table

Status	Error	Program
✓	30.5b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
	30.5b	(log.f64 (+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))
▶	0.8b	(log.f64 (+.f64 x x))

Compiler

Compiled 1906 to 1421 computations (25.4% saved)

localize3.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	30.5b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
▶	30.5b	(log.f64 (+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))
✓	0.8b	(log.f64 (+.f64 x x))

Compiler

Compiled 36 to 25 computations (30.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
✓	0.0b	(log.f64 (+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))
✓	5.6b	(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
	28.4b	(sqrt.f64 (fma.f64 x x -1))

series12.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

5.0ms	(log.f64 (+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))
4.0ms	(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
3.0ms	(+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`log-prod_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`exp-sum_binary64`

Counts

3 → 56

Calls

3 calls:

6.0ms	(+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
4.0ms	(log.f64 (+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))
2.0ms	(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
333×	`sub-neg_binary64`
297×	`fma-def_binary64`
254×	`distribute-neg-frac_binary64`
206×	`associate-+l+_binary64`

Counts

92 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	1535
1	425	1400
2	1072	1396
3	3467	1352
4	4837	1352
5	4986	1352

prune96.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	185	3	188

Error

Counts

188 → 3

Alt Table

Status	Error	Program
✓	30.5b	(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	30.5b	(log.f64 (+.f64 x (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))
✓	0.8b	(log.f64 (+.f64 x x))

Compiler

Compiled 3100 to 2351 computations (24.2% saved)

regimes23.0ms (0.8%)

Accuracy

Total 0.2b remaining (83.2%)

Threshold costs 0.2b (83.2%)

Counts

6 → 1

Compiler

Compiled 189 to 133 computations (29.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end47.0ms (1.6%)

Compiler: Compiled 41 to 29 computations (29.3% saved)

Details

analyze396.0ms (13.9%)

sample1.8s (64.5%)

simplify150.0ms (5.3%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series12.0ms (0.4%)

rewrite8.0ms (0.3%)

simplify78.0ms (2.8%)

prune62.0ms (2.2%)

localize3.0ms (0.1%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

series12.0ms (0.4%)

rewrite14.0ms (0.5%)

simplify82.0ms (2.9%)

prune96.0ms (3.4%)

regimes23.0ms (0.8%)

simplify2.0ms (0.1%)

end47.0ms (1.6%)

Profiling