Details

analyze761.0ms (15.7%)

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
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample3.0s (62.3%)

Results

1.2s	1884×	body	1024	valid
666.0ms	4669×	body	128	valid
406.0ms	995×	body	512	valid
166.0ms	173×	body	2048	valid
160.0ms	535×	body	256	valid
138.0ms	189×	body	1024	invalid
116.0ms	283×	body	512	invalid
66.0ms	451×	body	128	invalid
32.0ms	128×	body	256	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
522×	`unswap-sqr_binary64`
335×	`fma-neg_binary64`
256×	`associate-l_binary64`
216×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	53	13
4	116	13
5	276	13
6	665	13
7	2268	13
8	4318	13
9	4902	13

prune2.0ms (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

11.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.3b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 44 to 22 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	0.0b	(/.f64 x (+.f64 x y))
✓	6.7b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series75.0ms (1.5%)

Counts

3 → 72

Calls

3 calls:

41.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
26.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
7.0ms	(/.f64 x (+.f64 x y))

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`prod-diff_binary64`
457×	`log-prod_binary64`
195×	`fma-def_binary64`
157×	`expm1-udef_binary64`
157×	`log1p-udef_binary64`

Counts

3 → 95

Calls

3 calls:

62.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
62.0ms	(/.f64 x (+.f64 x y))
62.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	165	30
2	2375	30
3	5232	30

simplify124.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-def_binary64`
293×	`sub-neg_binary64`
256×	`+-commutative_binary64`
230×	`associate-+r+_binary64`
211×	`fma-neg_binary64`

Counts

167 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	3601
1	1007	3493
2	4034	3119
3	5023	3119

prune132.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	4	178

Error

0.0b

Counts

178 → 4

Alt Table

Status	Error	Program
	18.3b	(-.f64 (/.f64 1 x) (/.f64 y x))
	10.7b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	8.2b	(/.f64 1 x)
✓	11.3b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 5193 to 2634 computations (49.3% saved)

localize2.0ms (0%)

prune6.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

0.0b

Counts

4 → 4

Alt Table

Status	Error	Program
	18.3b	(-.f64 (/.f64 1 x) (/.f64 y x))
▶	10.7b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	8.2b	(/.f64 1 x)
✓	11.3b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 48 to 32 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

series7.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
374×	`unpow-prod-down_binary64`
279×	`log-prod_binary64`
140×	`pow2_binary64`

Counts

1 → 66

Calls

1 calls:

48.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	6
2	1361	6
3	5218	6

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

598×	`distribute-rgt-neg-in_binary64`
426×	`div-sub_binary64`
397×	`fma-neg_binary64`
389×	`cancel-sign-sub-inv_binary64`
376×	`distribute-neg-frac_binary64`

Counts

74 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	59	96
2	138	96
3	337	96
4	1038	93
5	3223	93
6	4620	93
7	5172	93

prune33.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	74	4	78

Error

0.0b

Counts

78 → 4

Alt Table

Status	Error	Program
	18.3b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	8.2b	(/.f64 1 x)
✓	11.3b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	10.7b	(pow.f64 (*.f64 x (exp.f64 y)) -1)

Compiler

Compiled 932 to 423 computations (54.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (exp.f64 y))
✓	0.0b	(pow.f64 (*.f64 x (exp.f64 y)) -1)

series22.0ms (0.4%)

Counts

2 → 40

Calls

2 calls:

17.0ms	(pow.f64 (*.f64 x (exp.f64 y)) -1)
5.0ms	(*.f64 x (exp.f64 y))

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log1p-expm1-u_binary64`
580×	`expm1-log1p-u_binary64`
323×	`log-prod_binary64`
179×	`pow2_binary64`
122×	`pow1/3_binary64`

Counts

2 → 47

Calls

2 calls:

43.0ms	(*.f64 x (exp.f64 y))
43.0ms	(pow.f64 (*.f64 x (exp.f64 y)) -1)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	139	15
2	1543	14
3	4928	14

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def_binary64`
447×	`times-frac_binary64`
389×	`fma-neg_binary64`
348×	`cancel-sign-sub-inv_binary64`
306×	`distribute-rgt-out_binary64`

Counts

87 → 62

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	368
1	91	362
2	232	337
3	609	332
4	1798	329
5	4437	329
6	4851	329
7	4907	329

prune33.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	61	5	66

Error

Counts

66 → 5

Alt Table

Status	Error	Program
	18.3b	(-.f64 (/.f64 1 x) (/.f64 y x))
✓	8.2b	(/.f64 1 x)
✓	11.3b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	10.7b	(pow.f64 (*.f64 x (exp.f64 y)) -1)
	10.7b	(/.f64 (pow.f64 x -1) (exp.f64 y))

Compiler

Compiled 674 to 335 computations (50.3% saved)

regimes121.0ms (2.5%)

Accuracy

Total 0.4b remaining (96.2%)

Threshold costs 0.4b (96.2%)

Counts

9 → 3

Compiler

Compiled 275 to 183 computations (33.5% saved)

bsearch78.0ms (1.6%)

Steps

Iters	Range		Point
9	9.619675691549453e-20	2.4309564807308256e-12	2.387325754138212e-12
9	-106394156.17496465	-0.05969409412451234	-9.516610491193159

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	34
1	21	34
2	20	34

end67.0ms (1.4%)

Compiler: Compiled 91 to 62 computations (31.9% saved)

Details

analyze761.0ms (15.7%)

sample3.0s (62.3%)

simplify55.0ms (1.1%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

series75.0ms (1.5%)

rewrite64.0ms (1.3%)

simplify124.0ms (2.5%)

prune132.0ms (2.7%)

localize2.0ms (0%)

prune6.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite50.0ms (1%)

simplify62.0ms (1.3%)

prune33.0ms (0.7%)

localize4.0ms (0.1%)

series22.0ms (0.4%)

rewrite44.0ms (0.9%)

simplify74.0ms (1.5%)

prune33.0ms (0.7%)

regimes121.0ms (2.5%)

bsearch78.0ms (1.6%)

simplify3.0ms (0.1%)

end67.0ms (1.4%)

Profiling