Details

analyze1.7s (55.9%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample857.0ms (28.5%)

Results

783.0ms	8256×	body	128	valid
62.0ms	697×	body	128	invalid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess20.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

12×	`fma-def_binary64`
7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`distribute-lft-out_binary64`
2×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	31	28
2	47	28
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort d2 d3)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0.2%)

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	7
1	13	7
2	19	7

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 d3))
▶	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 51 to 30 computations (41.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

series9.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

3.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 d3))	d3	-inf
1.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 d3))	d1	0
1.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 d3))	d1	-inf
1.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 d3))	d1	inf
1.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 d3))	d2	-inf

rewrite37.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`
79×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	2105	7

Stop Event

1×	node limit

Counts

1 → 43

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	17	234
2	20	234

Stop Event

1×

saturated

Counts

79 → 47

prune20.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 d3 (*.f64 d1 d2))
	0.0b	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 604 to 207 computations (65.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d1 d3 (*.f64 d1 d2))

series23.0ms (0.8%)

Counts

1 → 36

Calls

9 calls:

17.0ms	(fma.f64 d1 d3 (*.f64 d1 d2))	d1	0
1.0ms	(fma.f64 d1 d3 (*.f64 d1 d2))	d1	-inf
1.0ms	(fma.f64 d1 d3 (*.f64 d1 d2))	d1	inf
1.0ms	(fma.f64 d1 d3 (*.f64 d1 d2))	d2	-inf
1.0ms	(fma.f64 d1 d3 (*.f64 d1 d2))	d3	-inf

rewrite35.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	7
2	1414	7

Stop Event

1×	node limit

Counts

1 → 22

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	17	234
2	20	234

Stop Event

1×

saturated

Counts

58 → 27

prune12.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

29 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d3 (*.f64 d1 d2))
▶	0.0b	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 273 to 91 computations (66.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))

series6.0ms (0.2%)

Counts

1 → 24

Calls

9 calls:

1.0ms	(*.f64 d1 (+.f64 d2 d3))	d1	-inf
1.0ms	(*.f64 d1 (+.f64 d2 d3))	d1	0
1.0ms	(*.f64 d1 (+.f64 d2 d3))	d1	inf
1.0ms	(*.f64 d1 (+.f64 d2 d3))	d3	-inf
1.0ms	(*.f64 d1 (+.f64 d2 d3))	d3	inf

rewrite41.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
73×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1975	7

Stop Event

1×	node limit

Counts

1 → 26

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	168
1	11	150
2	18	150
3	20	150

Stop Event

1×

saturated

Counts

50 → 31

prune10.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Error

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 d3 (*.f64 d1 d2))
✓	0.0b	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 321 to 117 computations (63.6% saved)

regimes34.0ms (1.1%)

Accuracy

Total 0.0b remaining (72.6%)

Threshold costs 0.0b (72.6%)

Counts

7 → 1

Compiler

Compiled 260 to 162 computations (37.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

end169.0ms (5.6%)

Stop Event

1×

done

Compiler

Compiled 53 to 30 computations (43.4% saved)

Details

analyze1.7s (55.9%)

sample857.0ms (28.5%)

preprocess20.0ms (0.7%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite37.0ms (1.2%)

simplify12.0ms (0.4%)

prune20.0ms (0.7%)

localize4.0ms (0.1%)

series23.0ms (0.8%)

rewrite35.0ms (1.2%)

simplify9.0ms (0.3%)

prune12.0ms (0.4%)

localize3.0ms (0.1%)

series6.0ms (0.2%)

rewrite41.0ms (1.4%)

simplify9.0ms (0.3%)

prune10.0ms (0.3%)

regimes34.0ms (1.1%)

simplify2.0ms (0.1%)

end169.0ms (5.6%)

Profiling