Details

analyze52.0ms (4.9%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample839.0ms (78.8%)

Results

678.0ms	7704×	body	128	valid
60.0ms	172×	body	2048	valid
46.0ms	188×	body	1024	valid
29.0ms	117×	body	512	valid
10.0ms	75×	body	256	valid

Compiler

Compiled 20 to 16 computations (20% saved)

preprocess22.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

98×	`fma-neg_binary64`
42×	`fma-def_binary64`
32×	`cancel-sign-sub-inv_binary64`
18×	`associate--r+_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(-.f64 y (*.f64 (/.f64 3 8) x))

Outputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(+.f64 x (*.f64 -3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 y (*.f64 (/.f64 3 8) x))
(-.f64 y (*.f64 x 3/8))
(+.f64 y (*.f64 x -3/8))
(fma.f64 x -3/8 y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify14.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	16	7
2	26	5
3	40	5
4	55	5
5	79	5
6	127	5
7	172	5
8	216	5
9	273	5
10	315	5
11	319	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))

Outputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(+.f64 x (*.f64 -3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)

prune3.0ms (0.2%)

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

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 y -3/8 x)

Compiler

Compiled 25 to 17 computations (32% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y -3/8 x)

series3.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(fma.f64 y -3/8 x)
1.0ms	y	@	inf	(fma.f64 y -3/8 x)
1.0ms	y	@	0	(fma.f64 y -3/8 x)
0.0ms	x	@	0	(fma.f64 y -3/8 x)
0.0ms	x	@	-inf	(fma.f64 y -3/8 x)

rewrite44.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`pow1_binary64`
417×	`add-log-exp_binary64`
417×	`log1p-expm1-u_binary64`
417×	`expm1-log1p-u_binary64`
409×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	100	5
2	1108	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y -3/8 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y -3/8) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -3/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y -3/8) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (-.f64 (.f64 x x) (.f64 (.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3/8 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3/8 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3/8 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -3/8) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -3/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y -3/8) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y -3/8) (*.f64 y -3/8)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y -3/8) (*.f64 y -3/8)) (*.f64 x x)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3/8 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3/8 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3/8 x)))))))

simplify16.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
26×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Stop Event

1×

saturated

Counts

45 → 26

Calls

Call 1

Inputs
x
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(*.f64 -3/8 y)
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(*.f64 -3/8 y)
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(*.f64 -3/8 y)
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
x
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
x
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))
(-.f64 x (*.f64 3/8 y))

Outputs
x
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(*.f64 -3/8 y)
(*.f64 y -3/8)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(*.f64 -3/8 y)
(*.f64 y -3/8)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(*.f64 -3/8 y)
(*.f64 y -3/8)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
x
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
x
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 x (*.f64 3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)

prune12.0ms (1.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

27 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 y -3/8 x)

Compiler

Compiled 208 to 140 computations (32.7% saved)

regimes27.0ms (2.5%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

5 → 1

Compiler

Compiled 49 to 36 computations (26.5% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y -3/8 x)

Outputs
(fma.f64 y -3/8 x)

end28.0ms (2.6%)

Stop Event

1×

done

Compiler

Compiled 18 to 12 computations (33.3% saved)

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Details

analyze52.0ms (4.9%)

sample839.0ms (78.8%)

preprocess22.0ms (2.1%)

simplify14.0ms (1.3%)

prune3.0ms (0.2%)

localize3.0ms (0.3%)

series3.0ms (0.3%)

rewrite44.0ms (4.1%)

simplify16.0ms (1.5%)

prune12.0ms (1.1%)

regimes27.0ms (2.5%)

simplify2.0ms (0.2%)

end28.0ms (2.6%)

Profiling

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105