Details

analyze666.0ms (8.2%)

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	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 16 to 11 computations (31.3% saved)

sample1.0s (12.9%)

Results

978.0ms	8256×	body	128	valid
51.0ms	429×	body	128	invalid

Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess45.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

717×	`fma-neg_binary64`
552×	`times-frac_binary64`
350×	`unsub-neg_binary64`
312×	`distribute-rgt-in_binary64`
255×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	112
1	84	112
2	216	112
3	658	112
4	2034	112
5	4211	112
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

Symmetry

(sort z t)

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary64`
400×	`fma-neg_binary64`
286×	`div-sub_binary64`
242×	`associate-/l*_binary64`
190×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	22	16
2	50	16
3	127	16
4	378	16
5	1122	16
6	2234	16

Stop Event

1×	node limit

Counts

1 → 2

prune2.0ms (0%)

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

0.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.9b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

Compiler

Compiled 56 to 35 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
✓	5.7b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series171.0ms (2.1%)

Counts

3 → 132

Calls

33 calls:

21.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))	x	-inf
15.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))	x	inf
9.0ms	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))	x	inf
9.0ms	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))	x	-inf
8.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))	z	-inf

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

437×	`fma-def_binary64`
236×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`
191×	`fma-neg_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	250	39
2	3734	39

Stop Event

1×	node limit

Counts

3 → 123

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

646×	`times-frac_binary64`
503×	`associate-/l*_binary64`
403×	`associate-/r*_binary64`
248×	`associate-r_binary64`
221×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	335	6912
1	1293	6588

Stop Event

1×	node limit

Counts

255 → 235

prune238.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	231	4	235
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	231	5	236

Error

Counts

236 → 5

Alt Table

Status	Error	Program
▶	1.0b	(-.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3))
	1.3b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
	12.4b	(+.f64 (/.f64 (/.f64 x z) (-.f64 y t)) 1)
✓	0.9b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
	1.0b	(fma.f64 x (neg.f64 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))) 1)

Compiler

Compiled 8410 to 3706 computations (55.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3))
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3)
✓	1.6b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
✓	24.7b	(cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))

series3.7s (45.3%)

Counts

4 → 120

Calls

48 calls:

668.0ms	(pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3)	t	inf
565.0ms	(pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3)	t	-inf
498.0ms	(pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3)	z	-inf
491.0ms	(pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3)	z	inf
166.0ms	(pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3)	y	-inf

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

273×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
177×	`egg-rr`
152×	`add-sqr-sqrt_binary64`
148×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	318	57
2	4436	57

Stop Event

1×	node limit

Counts

4 → 177

simplify138.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

762×	`times-frac_binary64`
724×	`fma-def_binary64`
277×	`*-commutative_binary64`
234×	`+-commutative_binary64`
178×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	11977
1	3014	11679

Stop Event

1×	node limit

Counts

297 → 270

prune410.0ms (5.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	270	5	275

Error

Counts

275 → 5

Alt Table

Status	Error	Program
✓	1.0b	(-.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3))
	1.3b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
	12.4b	(+.f64 (/.f64 (/.f64 x z) (-.f64 y t)) 1)
✓	0.9b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
▶	1.0b	(fma.f64 x (neg.f64 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))) 1)

Compiler

Compiled 15414 to 8291 computations (46.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 y z))
✓	0.1b	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
✓	1.0b	(fma.f64 x (neg.f64 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))) 1)

series119.0ms (1.5%)

Counts

3 → 108

Calls

27 calls:

10.0ms	(fma.f64 x (neg.f64 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))) 1)	t	0
9.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))	z	-inf
9.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))	t	-inf
9.0ms	(fma.f64 x (neg.f64 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))) 1)	z	0
7.0ms	(fma.f64 x (neg.f64 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))) 1)	y	0

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`prod-diff_binary64`
138×	`add-sqr-sqrt_binary64`
130×	`add-cbrt-cube_binary64`
130×	`log1p-expm1-u_binary64`
130×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	268	37
2	3892	37

Stop Event

1×	node limit

Counts

3 → 97

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

873×	`times-frac_binary64`
652×	`associate-/l*_binary64`
647×	`associate-/r*_binary64`
174×	`fma-def_binary64`
151×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	437	6125
1	1601	5958

Stop Event

1×	node limit

Counts

205 → 204

prune219.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	204	5	209

Error

Counts

209 → 5

Alt Table

Status	Error	Program
✓	1.0b	(-.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3))
▶	1.3b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
	12.4b	(+.f64 (/.f64 (/.f64 x z) (-.f64 y t)) 1)
✓	0.9b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	1.0b	(fma.f64 x (neg.f64 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))) 1)

Compiler

Compiled 7622 to 3920 computations (48.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 y t))
✓	0.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
✓	1.6b	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))

series177.0ms (2.2%)

Counts

3 → 120

Calls

33 calls:

18.0ms	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))	x	-inf
18.0ms	(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))	x	inf
11.0ms	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))	x	-inf
9.0ms	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))	x	inf
9.0ms	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))	z	0

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`fma-def_binary64`
244×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`
197×	`fma-neg_binary64`
134×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	256	36
2	3934	36

Stop Event

1×	node limit

Counts

3 → 119

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

656×	`times-frac_binary64`
524×	`associate-/l*_binary64`
407×	`associate-/r*_binary64`
245×	`associate-r_binary64`
217×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	354	6961
1	1338	6691

Stop Event

1×	node limit

Counts

239 → 231

prune234.0ms (2.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	231	5	236

Error

Counts

236 → 5

Alt Table

Status	Error	Program
✓	1.0b	(-.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))) 3))
✓	1.3b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
	12.4b	(+.f64 (/.f64 (/.f64 x z) (-.f64 y t)) 1)
✓	0.9b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	1.0b	(fma.f64 x (neg.f64 (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))) 1)

Compiler

Compiled 8368 to 3709 computations (55.7% saved)

regimes284.0ms (3.5%)

Accuracy

Total 0.6b remaining (98.5%)

Threshold costs 0.6b (98.5%)

Counts

49 → 1

Compiler

Compiled 5536 to 3694 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	32	16
3	40	16
4	45	16
5	46	16

Stop Event

1×

saturated

end78.0ms (1%)

Stop Event

1×

fuel

Remove

(sort z t)

Compiler

Compiled 138 to 94 computations (31.9% saved)

Details

analyze666.0ms (8.2%)

sample1.0s (12.9%)

preprocess45.0ms (0.6%)

simplify25.0ms (0.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series171.0ms (2.1%)

rewrite69.0ms (0.8%)

simplify95.0ms (1.2%)

prune238.0ms (2.9%)

localize10.0ms (0.1%)

series3.7s (45.3%)

rewrite82.0ms (1%)

simplify138.0ms (1.7%)

prune410.0ms (5.1%)

localize11.0ms (0.1%)

series119.0ms (1.5%)

rewrite69.0ms (0.8%)

simplify81.0ms (1%)

prune219.0ms (2.7%)

localize11.0ms (0.1%)

series177.0ms (2.2%)

rewrite71.0ms (0.9%)

simplify85.0ms (1%)

prune234.0ms (2.9%)

regimes284.0ms (3.5%)

simplify3.0ms (0%)

end78.0ms (1%)

Profiling