Details

analyze5.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample755.0ms (62.6%)

Results

743.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess16.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

1.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))	x	inf
1.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))	x	-inf
1.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))	x	0
1.0ms	(/.f64 1 (-.f64 x 1))	x	-inf
1.0ms	(/.f64 1 (-.f64 x 1))	x	inf

rewrite61.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`fma-def_binary64`
249×	`fma-neg_binary64`
229×	`log-div_binary64`
168×	`expm1-udef_binary64`
168×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	194	30
2	3099	30

Stop Event

1×	node limit

Counts

3 → 138

simplify34.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

479×	`fma-neg_binary64`
456×	`cancel-sign-sub-inv_binary64`
420×	`associate-l_binary64`
314×	`associate-r_binary64`
212×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	488
1	183	470
2	553	457
3	1755	453

Stop Event

1×	node limit

Counts

174 → 178

prune115.0ms (9.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	3	179

Error

Counts

179 → 3

Alt Table

Status	Error	Program
	32.5b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	31.4b	(fma.f64 x (*.f64 x -2) -1)

Compiler

Compiled 3044 to 2275 computations (25.3% saved)

localize6.0ms (0.5%)

prune2.0ms (0.2%)

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
▶	32.5b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	31.4b	(fma.f64 x (*.f64 x -2) -1)

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (*.f64 x x))

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(/.f64 2 (*.f64 x x))	x	0
1.0ms	(/.f64 2 (*.f64 x x))	x	inf
1.0ms	(/.f64 2 (*.f64 x x))	x	-inf

rewrite34.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`log1p-expm1-u_binary64`
458×	`expm1-log1p-u_binary64`
270×	`unpow-prod-down_binary64`
216×	`log-prod_binary64`
130×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1300	7

Stop Event

1×	node limit

Counts

1 → 40

simplify57.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

605×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
333×	`associate-/l/_binary64`
281×	`cube-prod_binary64`
275×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	84
1	10	84
2	19	84
3	34	84
4	74	84
5	201	84
6	793	84
7	1999	84
8	2165	84
9	2349	84
10	2557	84
11	2848	84
12	3241	84
13	3721	84
14	4284	84
15	4972	84

Stop Event

1×	node limit

Counts

52 → 42

prune23.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Error

Counts

45 → 3

Alt Table

Status	Error	Program
✓	32.5b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	31.4b	(fma.f64 x (*.f64 x -2) -1)

Compiler

Compiled 530 to 454 computations (14.3% saved)

regimes21.0ms (1.7%)

Accuracy

Total 0.0b remaining (75.7%)

Threshold costs 0.0b (75.7%)

Counts

11 → 1

Compiler

Compiled 240 to 182 computations (24.2% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16

Stop Event

1×

saturated

end48.0ms (4%)

Stop Event

1×

done

Compiler

Compiled 51 to 38 computations (25.5% saved)

Details

analyze5.0ms (0.4%)

sample755.0ms (62.6%)

preprocess16.0ms (1.3%)

simplify6.0ms (0.5%)

prune3.0ms (0.2%)

localize6.0ms (0.5%)

series7.0ms (0.6%)

rewrite61.0ms (5.1%)

simplify34.0ms (2.8%)

prune115.0ms (9.5%)

localize6.0ms (0.5%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

series2.0ms (0.2%)

rewrite34.0ms (2.8%)

simplify57.0ms (4.7%)

prune23.0ms (1.9%)

regimes21.0ms (1.7%)

simplify2.0ms (0.2%)

end48.0ms (4%)

Profiling