Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample876.0ms (45.8%)

Results

865.0ms

8256×

body

128

valid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess20.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1×	`swap-x-y`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	8	14
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.1%)

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 y) 10)

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)

series25.0ms (1.3%)

Counts

1 → 24

Calls

6 calls:

22.0ms	(/.f64 (+.f64 x y) 10)	y	0
1.0ms	(/.f64 (+.f64 x y) 10)	y	inf
1.0ms	(/.f64 (+.f64 x y) 10)	x	0
1.0ms	(/.f64 (+.f64 x y) 10)	x	-inf
1.0ms	(/.f64 (+.f64 x y) 10)	x	inf

rewrite37.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
464×	`prod-diff_binary64`
70×	`add-sqr-sqrt_binary64`
67×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	7
2	1852	7

Stop Event

1×	node limit

Counts

1 → 25

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	150
1	13	150
2	19	150

Stop Event

1×

saturated

Counts

49 → 29

prune13.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Error

0.0b

Counts

30 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)
	1.4b	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2))
▶	0.3b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))

Compiler

Compiled 292 to 179 computations (38.7% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
✓	0.4b	(*.f64 1/10 x)
✓	0.4b	(*.f64 1/10 y)

series7.0ms (0.4%)

Counts

3 → 6

Calls

12 calls:

1.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))	x	inf
1.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))	x	-inf
1.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))	y	inf
1.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))	y	-inf
1.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))	y	0

rewrite40.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log1p-expm1-u_binary64`
755×	`expm1-log1p-u_binary64`
139×	`log1p-udef_binary64`
77×	`add-sqr-sqrt_binary64`
73×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	153	15
2	2031	15

Stop Event

1×	node limit

Counts

3 → 67

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	24
1	8	24

Stop Event

1×

saturated

Counts

73 → 69

prune35.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Error

0.0b

Counts

72 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)
▶	1.4b	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2))
✓	0.3b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))

Compiler

Compiled 847 to 586 computations (30.8% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (+.f64 x y) 1/10)
✓	0.4b	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2))
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2)
✓	0.6b	(cbrt.f64 (*.f64 (+.f64 x y) 1/10))

series121.0ms (6.3%)

Counts

4 → 64

Calls

24 calls:

17.0ms	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2)	x	-inf
10.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2))	y	0
8.0ms	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2)	x	0
8.0ms	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2)	y	0
7.0ms	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/10)) 2)	y	inf

rewrite60.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`log1p-expm1-u_binary64`
840×	`expm1-log1p-u_binary64`
455×	`prod-diff_binary64`
92×	`add-sqr-sqrt_binary64`
89×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	213	35
2	2342	35

Stop Event

1×	node limit

Counts

4 → 88

simplify45.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

618×	`unswap-sqr_binary64`
532×	`times-frac_binary64`
488×	`fma-def_binary64`
348×	`*-commutative_binary64`
343×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1216
1	340	1206
2	1144	1172
3	3299	1172

Stop Event

1×	node limit

Counts

152 → 103

prune92.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	144	3	147

Error

Counts

147 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)
✓	0.3b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
▶	1.1b	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (.f64 (cbrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 1/10) (cbrt.f64 (*.f64 (+.f64 x y) 1/10)))))

Compiler

Compiled 3665 to 2593 computations (29.2% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (.f64 (cbrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 1/10) (cbrt.f64 (*.f64 (+.f64 x y) 1/10)))))
✓	0.4b	(.f64 (cbrt.f64 1/10) (cbrt.f64 (.f64 (+.f64 x y) 1/10)))
✓	0.5b	(cbrt.f64 (+.f64 x y))
	0.6b	(cbrt.f64 (*.f64 (+.f64 x y) 1/10))

series88.0ms (4.6%)

Counts

3 → 40

Calls

18 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (.f64 (cbrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 1/10) (cbrt.f64 (*.f64 (+.f64 x y) 1/10)))))	y	0
8.0ms	(.f64 (cbrt.f64 1/10) (cbrt.f64 (.f64 (+.f64 x y) 1/10)))	x	0
7.0ms	(.f64 (cbrt.f64 1/10) (cbrt.f64 (.f64 (+.f64 x y) 1/10)))	y	0
6.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (.f64 (cbrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 1/10) (cbrt.f64 (*.f64 (+.f64 x y) 1/10)))))	x	-inf
6.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (.f64 (cbrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 1/10) (cbrt.f64 (*.f64 (+.f64 x y) 1/10)))))	y	inf

rewrite54.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
455×	`prod-diff_binary64`
214×	`fma-def_binary64`
186×	`expm1-udef_binary64`
186×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	249	22
2	2862	22

Stop Event

1×	node limit

Counts

3 → 70

simplify62.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg_binary64`
650×	`unswap-sqr_binary64`
508×	`fma-def_binary64`
315×	`cancel-sign-sub-inv_binary64`
303×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1042
1	284	1028
2	1006	982
3	2841	962
4	4959	962

Stop Event

1×	node limit

Counts

110 → 107

prune129.0ms (6.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	189	3	192

Error

Counts

192 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)
✓	0.3b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
✓	1.1b	(.f64 (cbrt.f64 (.f64 (+.f64 x y) 1/10)) (.f64 (cbrt.f64 (+.f64 x y)) (.f64 (cbrt.f64 1/10) (cbrt.f64 (*.f64 (+.f64 x y) 1/10)))))

Compiler

Compiled 5640 to 3618 computations (35.9% saved)

regimes101.0ms (5.3%)

Accuracy

Total 0.0b remaining (75.2%)

Threshold costs 0.0b (75.2%)

Counts

26 → 1

Compiler

Compiled 1372 to 964 computations (29.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

end58.0ms (3%)

Stop Event

1×

done

Remove

(sort x y)

Compiler

Compiled 67 to 47 computations (29.9% saved)

Details

analyze2.0ms (0.1%)

sample876.0ms (45.8%)

preprocess20.0ms (1%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series25.0ms (1.3%)

rewrite37.0ms (2%)

simplify9.0ms (0.4%)

prune13.0ms (0.7%)

localize5.0ms (0.3%)

series7.0ms (0.4%)

rewrite40.0ms (2.1%)

simplify7.0ms (0.4%)

prune35.0ms (1.8%)

localize7.0ms (0.3%)

series121.0ms (6.3%)

rewrite60.0ms (3.1%)

simplify45.0ms (2.4%)

prune92.0ms (4.8%)

localize11.0ms (0.6%)

series88.0ms (4.6%)

rewrite54.0ms (2.8%)

simplify62.0ms (3.3%)

prune129.0ms (6.7%)

regimes101.0ms (5.3%)

simplify2.0ms (0.1%)

end58.0ms (3%)

Profiling