Details

analyze3.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample59.0ms (7.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify40.0ms (5%)

Algorithm

1×	egg-herbie

Rules

476×	`fma-def_binary64`
327×	`fma-neg_binary64`
233×	`div-sub_binary64`
160×	`times-frac_binary64`
138×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	28	10
5	38	10
6	48	10
7	62	10
8	81	10
9	100	10
10	121	10
11	143	10
12	206	10
13	289	10
14	355	10
15	476	10
16	635	10
17	689	10
18	784	10
19	800	10
20	721	10

prune2.0ms (0.2%)

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	(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite9.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`

Counts

1 → 52

Calls

1 calls:

6.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

simplify78.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-neg_binary64`
611×	`times-frac_binary64`
490×	`div-sub_binary64`
375×	`associate-/l*_binary64`
345×	`distribute-rgt-in_binary64`

Counts

64 → 86

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	1116
1	256	1045
2	672	1043
3	1830	1043
4	4209	1033
5	5700	1033

prune47.0ms (5.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	2	87

Error

Counts

87 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	32.4b	(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 1311 to 992 computations (24.3% saved)

localize6.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	0.0b	(log1p.f64 (neg.f64 x))

series7.0ms (0.9%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(log1p.f64 (neg.f64 x))
3.0ms	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

rewrite6.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
6×	`add-log-exp_binary64`

Counts

2 → 44

Calls

2 calls:

3.0ms	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
0.0ms	(log1p.f64 (neg.f64 x))

simplify94.0ms (11.6%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-neg_binary64`
498×	`cancel-sign-sub-inv_binary64`
459×	`fma-def_binary64`
310×	`sub-neg_binary64`
302×	`associate-l_binary64`

Counts

68 → 102

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1189
1	356	938
2	1015	875
3	3203	875
4	4735	869
5	4995	869
6	4836	869

prune43.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Error

Counts

104 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	32.4b	(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

Compiler

Compiled 1653 to 789 computations (52.3% saved)

regimes19.0ms (2.4%)

Accuracy

Total 0.0b remaining (90.8%)

Threshold costs 0.0b (90.8%)

Counts

11 → 1

Compiler

Compiled 150 to 118 computations (21.3% saved)

simplify2.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`+-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	6	10
1	11	10
2	15	10
3	17	10
4	18	10
5	17	10

end0.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

sample386.0ms (47.8%)

Algorithm

1×

intervals

Results

199.0ms

8000×

body

128

valid

Compiler

Compiled 34 to 26 computations (23.5% saved)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	28	10
5	38	10
6	48	10
7	62	10
8	81	10
9	100	10
10	121	10
11	143	10
12	206	10
13	289	10
14	355	10
15	476	10
16	635	10
17	689	10
18	784	10
19	800	10
20	721	10

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	28	10
5	38	10
6	48	10
7	62	10
8	81	10
9	100	10
10	121	10
11	143	10
12	206	10
13	289	10
14	355	10
15	476	10
16	635	10
17	689	10
18	784	10
19	800	10
20	721	10

Details

analyze3.0ms (0.4%)

sample59.0ms (7.4%)

simplify40.0ms (5%)

prune2.0ms (0.2%)

localize4.0ms (0.5%)

series2.0ms (0.3%)

rewrite9.0ms (1.2%)

simplify78.0ms (9.6%)

prune47.0ms (5.8%)

localize6.0ms (0.7%)

series7.0ms (0.9%)

rewrite6.0ms (0.7%)

simplify94.0ms (11.6%)

prune43.0ms (5.3%)

regimes19.0ms (2.4%)

simplify2.0ms (0.3%)

end0.0ms (0.1%)

sample386.0ms (47.8%)

Profiling

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	28	10
5	38	10
6	48	10
7	62	10
8	81	10
9	100	10
10	121	10
11	143	10
12	206	10
13	289	10
14	355	10
15	476	10
16	635	10
17	689	10
18	784	10
19	800	10
20	721	10