Details

analyze115.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
59.3%	34.3%	6.3%	8
67.1%	24.2%	8.7%	9
72.6%	18%	9.5%	10
76.9%	12.3%	10.8%	11
79.8%	9.2%	11%	12
82%	6.2%	11.8%	13
84.3%	3.9%	11.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.1s (10.3%)

Results

550.0ms	6232×	body	128	valid
190.0ms	729×	body	1024	valid
146.0ms	742×	body	512	valid
78.0ms	548×	body	256	valid
6.0ms	71×	body	128	invalid
1.0ms	5×	body	2048	valid

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify175.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

855×	`unsub-neg_binary64`
738×	`fma-def_binary64`
449×	`distribute-neg-in_binary64`
412×	`sub-neg_binary64`
410×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	11
2	37	11
3	97	11
4	320	8
5	888	8
6	2269	8
7	2693	8
8	3109	8
9	3290	8
10	3417	8
11	3509	8
12	3667	8
13	4032	8
14	4205	8
15	4261	8
16	4288	8
17	4309	8
18	4367	8
19	4870	8
20	4966	8

prune3.0ms (0%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x y (-.f64 1 y))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (-.f64 1 y))

series4.0ms (0%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(fma.f64 x y (-.f64 1 y))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 x y (-.f64 1 y))

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

491×	`neg-sub0_binary64`
456×	`distribute-rgt-in_binary64`
440×	`neg-mul-1_binary64`
436×	`distribute-lft-in_binary64`
416×	`sub-neg_binary64`

Counts

34 → 26

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	295
1	44	278
2	114	277
3	373	277
4	1635	277
5	3627	277
6	5029	277

prune14.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

Counts

27 → 2

Alt Table

Status	Error	Program
▶	20.5b	(exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))
✓	0.0b	(fma.f64 x y (-.f64 1 y))

Compiler

Compiled 264 to 156 computations (40.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y x) y)
✓	0.0b	(log1p.f64 (-.f64 (*.f64 y x) y))
✓	1.5b	(exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))

series8.9s (83.8%)

Counts

3 → 63

Calls

3 calls:

8.9s	(exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))
16.0ms	(log1p.f64 (-.f64 (*.f64 y x) y))
4.0ms	(-.f64 (*.f64 y x) y)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`expm1-log1p-u_binary64`

Counts

3 → 45

Calls

3 calls:

3.0ms	(-.f64 (*.f64 y x) y)
1.0ms	(exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))
1.0ms	(log1p.f64 (-.f64 (*.f64 y x) y))

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

511×	`fma-neg_binary64`
411×	`cancel-sign-sub-inv_binary64`
311×	`sub-neg_binary64`
226×	`unswap-sqr_binary64`
194×	`fma-def_binary64`

Counts

108 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	2428
1	726	2059
2	2977	1967
3	4929	1967
4	5041	1967

prune58.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Error

Counts

127 → 2

Alt Table

Status	Error	Program
✓	20.5b	(exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))
✓	0.0b	(fma.f64 x y (-.f64 1 y))

Compiler

Compiled 2527 to 1389 computations (45% saved)

regimes61.0ms (0.6%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Counts

12 → 1

Compiler

Compiled 456 to 336 computations (26.3% saved)

simplify3.0ms (0%)

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	6	8
1	10	8
2	14	8
3	16	8
4	17	8
5	16	8

end37.0ms (0.3%)

Compiler: Compiled 33 to 21 computations (36.4% saved)

Details

analyze115.0ms (1.1%)

sample1.1s (10.3%)

simplify175.0ms (1.7%)

prune3.0ms (0%)

localize4.0ms (0%)

series4.0ms (0%)

rewrite1.0ms (0%)

simplify52.0ms (0.5%)

prune14.0ms (0.1%)

localize6.0ms (0.1%)

series8.9s (83.8%)

rewrite6.0ms (0.1%)

simplify87.0ms (0.8%)

prune58.0ms (0.5%)

regimes61.0ms (0.6%)

simplify3.0ms (0%)

end37.0ms (0.3%)

Profiling