Details

analyze578.0ms (14.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.0s (26%)

Symmetry

(sort y t)

Results

919.0ms	8256×	body	128	valid
43.0ms	433×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-neg_binary64`
752×	`fma-def_binary64`
246×	`distribute-rgt-in_binary64`
200×	`unsub-neg_binary64`
135×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	94	13
4	299	13
5	905	13
6	1777	13
7	3115	13
8	3878	13
9	3900	13
10	3900	13
11	4061	13
12	4061	13

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	6.0b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
▶	1.1b	(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))

Compiler

Compiled 74 to 44 computations (40.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 z y))
✓	1.0b	(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))

series111.0ms (2.8%)

Counts

2 → 72

Calls

2 calls:

96.0ms	(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
14.0ms	(/.f64 x (-.f64 z y))

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`prod-diff_binary64`
210×	`log1p-udef_binary64`
114×	`add-sqr-sqrt_binary64`
109×	`log1p-expm1-u_binary64`
109×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	212	20
2	3378	20

Stop Event

1×	node limit

Counts

2 → 77

Calls

2 calls:

52.0ms	(/.f64 x (-.f64 z y))
52.0ms	(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

676×	`times-frac_binary64`
513×	`associate-/l*_binary64`
415×	`associate-/r*_binary64`
245×	`associate-r_binary64`
201×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	297	4390
1	1125	4194

Stop Event

1×	node limit

Counts

149 → 143

prune131.0ms (3.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	139	6	145

Error

Counts

145 → 6

Alt Table

Status	Error	Program
	11.0b	(/.f64 x (-.f64 (fma.f64 z z (.f64 y t)) (.f64 z (+.f64 y t))))
	1.2b	(*.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (-.f64 z t)))
	6.0b	(.f64 x (.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 z t))))
	1.3b	(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
▶	1.1b	(/.f64 (*.f64 x (/.f64 1 (-.f64 z y))) (-.f64 z t))
	27.1b	(.f64 (sqrt.f64 (/.f64 x (-.f64 z y))) (.f64 (sqrt.f64 (/.f64 x (-.f64 z y))) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 4844 to 2140 computations (55.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 z y))
✓	0.2b	(*.f64 x (/.f64 1 (-.f64 z y)))
✓	1.0b	(/.f64 (*.f64 x (/.f64 1 (-.f64 z y))) (-.f64 z t))

series122.0ms (3.1%)

Counts

3 → 108

Calls

3 calls:

96.0ms	(/.f64 (*.f64 x (/.f64 1 (-.f64 z y))) (-.f64 z t))
19.0ms	(*.f64 x (/.f64 1 (-.f64 z y)))
6.0ms	(/.f64 1 (-.f64 z y))

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`prod-diff_binary64`
128×	`add-sqr-sqrt_binary64`
121×	`add-cbrt-cube_binary64`
121×	`log1p-expm1-u_binary64`
121×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	248	27
2	3677	27

Stop Event

1×	node limit

Counts

3 → 96

Calls

3 calls:

59.0ms	(/.f64 1 (-.f64 z y))
59.0ms	(*.f64 x (/.f64 1 (-.f64 z y)))
59.0ms	(/.f64 (*.f64 x (/.f64 1 (-.f64 z y))) (-.f64 z t))

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

682×	`times-frac_binary64`
517×	`associate-/l*_binary64`
420×	`associate-/r*_binary64`
245×	`associate-r_binary64`
201×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	320	4966
1	1173	4758

Stop Event

1×	node limit

Counts

204 → 176

prune188.0ms (4.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	176	6	182

Error

Counts

182 → 6

Alt Table

Status	Error	Program
	11.0b	(/.f64 x (-.f64 (fma.f64 z z (.f64 y t)) (.f64 z (+.f64 y t))))
▶	1.2b	(*.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (-.f64 z t)))
	6.0b	(.f64 x (.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 z t))))
	1.3b	(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
✓	1.1b	(/.f64 (*.f64 x (/.f64 1 (-.f64 z y))) (-.f64 z t))
	27.1b	(.f64 (sqrt.f64 (/.f64 x (-.f64 z y))) (.f64 (sqrt.f64 (/.f64 x (-.f64 z y))) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 5371 to 2413 computations (55.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (-.f64 z y))
✓	0.0b	(/.f64 1 (-.f64 z t))
✓	1.1b	(*.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (-.f64 z t)))

series101.0ms (2.6%)

Counts

2 → 72

Calls

2 calls:

92.0ms	(*.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (-.f64 z t)))
9.0ms	(/.f64 1 (-.f64 z t))

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`prod-diff_binary64`
130×	`add-sqr-sqrt_binary64`
123×	`add-cbrt-cube_binary64`
123×	`log1p-expm1-u_binary64`
123×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	251	20
2	3798	20

Stop Event

1×	node limit

Counts

2 → 76

Calls

2 calls:

57.0ms	(/.f64 1 (-.f64 z t))
57.0ms	(*.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (-.f64 z t)))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

678×	`times-frac_binary64`
500×	`associate-/l*_binary64`
420×	`associate-/r*_binary64`
245×	`associate-r_binary64`
201×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	299	4276
1	1122	4062

Stop Event

1×	node limit

Counts

148 → 139

prune173.0ms (4.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	189	6	195

Error

Counts

195 → 6

Alt Table

Status	Error	Program
	11.0b	(/.f64 x (-.f64 (fma.f64 z z (.f64 y t)) (.f64 z (+.f64 y t))))
✓	1.2b	(*.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (-.f64 z t)))
	6.0b	(.f64 x (.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 z t))))
▶	1.3b	(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
✓	1.1b	(/.f64 (*.f64 x (/.f64 1 (-.f64 z y))) (-.f64 z t))
	1.3b	(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))

Compiler

Compiled 5539 to 2499 computations (54.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 z t))
✓	1.2b	(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))

series118.0ms (3%)

Counts

2 → 72

Calls

2 calls:

103.0ms	(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
14.0ms	(/.f64 x (-.f64 z t))

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`prod-diff_binary64`
210×	`log1p-udef_binary64`
114×	`add-sqr-sqrt_binary64`
109×	`log1p-expm1-u_binary64`
109×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	212	20
2	3378	20

Stop Event

1×	node limit

Counts

2 → 77

Calls

2 calls:

54.0ms	(/.f64 x (-.f64 z t))
54.0ms	(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64`
507×	`associate-/l*_binary64`
410×	`associate-/r*_binary64`
245×	`associate-r_binary64`
201×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	298	4390
1	1125	4194

Stop Event

1×	node limit

Counts

149 → 143

prune121.0ms (3.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	143	6	149

Error

Counts

149 → 6

Alt Table

Status	Error	Program
	1.3b	(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))
	6.0b	(pow.f64 (/.f64 x (*.f64 (-.f64 z t) (-.f64 z y))) 1)
✓	1.3b	(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
✓	1.1b	(/.f64 (*.f64 x (/.f64 1 (-.f64 z y))) (-.f64 z t))
	5.9b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 (-.f64 z t)) (-.f64 z y)))
✓	1.2b	(*.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (-.f64 z t)))

Compiler

Compiled 4732 to 2068 computations (56.3% saved)

regimes471.0ms (12%)

Accuracy

Total 2.1b remaining (99.4%)

Threshold costs 0b (0%)

Counts

90 → 1

Compiler

Compiled 8068 to 5354 computations (33.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`sub-neg_binary64`
9×	`+-commutative_binary64`
8×	`neg-sub0_binary64`
7×	`*-commutative_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	20	17
2	32	17
3	52	15
4	75	15
5	86	15
6	88	15

Stop Event

1×

saturated

end216.0ms (5.5%)

Compiler: Compiled 146 to 96 computations (34.2% saved)

Details

analyze578.0ms (14.8%)

sample1.0s (26%)

simplify53.0ms (1.4%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series111.0ms (2.8%)

rewrite53.0ms (1.4%)

simplify55.0ms (1.4%)

prune131.0ms (3.3%)

localize7.0ms (0.2%)

series122.0ms (3.1%)

rewrite64.0ms (1.6%)

simplify75.0ms (1.9%)

prune188.0ms (4.8%)

localize7.0ms (0.2%)

series101.0ms (2.6%)

rewrite58.0ms (1.5%)

simplify56.0ms (1.4%)

prune173.0ms (4.4%)

localize7.0ms (0.2%)

series118.0ms (3%)

rewrite56.0ms (1.4%)

simplify56.0ms (1.4%)

prune121.0ms (3.1%)

regimes471.0ms (12%)

simplify3.0ms (0.1%)

end216.0ms (5.5%)

Profiling