Details

analyze611.0ms (16.9%)

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)

sample1.1s (30.5%)

Symmetry

(sort z t)

Results

988.0ms	8256×	body	128	valid
53.0ms	435×	body	128	invalid

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify27.0ms (0.7%)

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 (0.1%)

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

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

Compiler

Compiled 56 to 35 computations (37.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
✓	5.8b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series110.0ms (3%)

Counts

2 → 84

Calls

2 calls:

101.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
8.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`prod-diff_binary64`
202×	`log1p-udef_binary64`
110×	`add-sqr-sqrt_binary64`
105×	`log1p-expm1-u_binary64`
105×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	23
2	3178	23

Stop Event

1×	node limit

Counts

2 → 77

Calls

2 calls:

51.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
51.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

646×	`times-frac_binary64`
502×	`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	278	4329
1	1075	4092

Stop Event

1×	node limit

Counts

161 → 143

prune134.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	139	4	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	5	144

Error

Counts

144 → 5

Alt Table

Status	Error	Program
	1.3b	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))
	15.2b	(-.f64 1 (/.f64 (/.f64 x y) (-.f64 y t)))
✓	0.4b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
	1.1b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z)))
▶	0.5b	(-.f64 1 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t))))

Compiler

Compiled 5018 to 2323 computations (53.7% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 x) (-.f64 y t))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)
✓	1.0b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))

series189.0ms (5.2%)

Counts

4 → 72

Calls

4 calls:

120.0ms	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))
39.0ms	(/.f64 (cbrt.f64 x) (-.f64 y t))
21.0ms	(pow.f64 (cbrt.f64 x) 2)
9.0ms	(cbrt.f64 x)

rewrite78.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`prod-diff_binary64`
151×	`add-sqr-sqrt_binary64`
145×	`log1p-expm1-u_binary64`
145×	`expm1-log1p-u_binary64`
144×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	297	31
2	4399	31

Stop Event

1×	node limit

Counts

4 → 131

Calls

4 calls:

76.0ms	(/.f64 (cbrt.f64 x) (-.f64 y t))
76.0ms	(pow.f64 (cbrt.f64 x) 2)
76.0ms	(cbrt.f64 x)
76.0ms	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

656×	`times-frac_binary64`
510×	`associate-/l*_binary64`
413×	`associate-/r*_binary64`
264×	`associate-r_binary64`
240×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	308	4441
1	1171	4229

Stop Event

1×	node limit

Counts

203 → 197

prune197.0ms (5.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	221	4	225

Error

Counts

225 → 4

Alt Table

Status	Error	Program
	1.3b	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))
▶	1.3b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
✓	0.4b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	0.5b	(-.f64 1 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t))))

Compiler

Compiled 6891 to 3261 computations (52.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 y z))
✓	2.5b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series117.0ms (3.3%)

Counts

2 → 72

Calls

2 calls:

101.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
16.0ms	(/.f64 x (-.f64 y z))

rewrite56.0ms (1.6%)

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:

55.0ms	(/.f64 x (-.f64 y z))
55.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

666×	`times-frac_binary64`
529×	`associate-/l*_binary64`
413×	`associate-/r*_binary64`
245×	`associate-r_binary64`
217×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	296	4378
1	1123	4229

Stop Event

1×	node limit

Counts

149 → 143

prune125.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Error

Counts

147 → 4

Alt Table

Status	Error	Program
▶	1.3b	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))
✓	1.3b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
✓	0.4b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	0.5b	(-.f64 1 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t))))

Compiler

Compiled 5040 to 2361 computations (53.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 y t))
	0.0b	(/.f64 x (-.f64 y z))
✓	2.5b	(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t)))

series98.0ms (2.7%)

Counts

2 → 72

Calls

2 calls:

91.0ms	(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t)))
7.0ms	(/.f64 1 (-.f64 y t))

rewrite59.0ms (1.6%)

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

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

646×	`times-frac_binary64`
502×	`associate-/l*_binary64`
403×	`associate-/r*_binary64`
245×	`associate-r_binary64`
217×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	299	4264
1	1109	4095

Stop Event

1×	node limit

Counts

148 → 139

prune168.0ms (4.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	189	4	193

Error

Counts

193 → 4

Alt Table

Status	Error	Program
✓	1.3b	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))
✓	1.3b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
✓	0.4b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	0.5b	(-.f64 1 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t))))

Compiler

Compiled 5857 to 2820 computations (51.9% saved)

regimes147.0ms (4.1%)

Accuracy

Total 0.6b remaining (97%)

Threshold costs 0.6b (97%)

Counts

23 → 1

Compiler

Compiled 2456 to 1734 computations (29.4% saved)

simplify2.0ms (0.1%)

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

end66.0ms (1.8%)

Remove: (sort z t)
Compiler: Compiled 128 to 86 computations (32.8% saved)

Details

analyze611.0ms (16.9%)

sample1.1s (30.5%)

simplify27.0ms (0.7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series110.0ms (3%)

rewrite53.0ms (1.5%)

simplify53.0ms (1.5%)

prune134.0ms (3.7%)

localize17.0ms (0.5%)

series189.0ms (5.2%)

rewrite78.0ms (2.2%)

simplify56.0ms (1.6%)

prune197.0ms (5.5%)

localize7.0ms (0.2%)

series117.0ms (3.3%)

rewrite56.0ms (1.6%)

simplify60.0ms (1.7%)

prune125.0ms (3.5%)

localize8.0ms (0.2%)

series98.0ms (2.7%)

rewrite59.0ms (1.6%)

simplify60.0ms (1.7%)

prune168.0ms (4.7%)

regimes147.0ms (4.1%)

simplify2.0ms (0.1%)

end66.0ms (1.8%)

Profiling