Details

analyze541.0ms (16%)

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
18.7%	81.1%	0.1%	8
23.4%	71%	5.6%	9
35.1%	56.2%	8.7%	10
41%	49.9%	9.1%	11
45.1%	41.2%	13.7%	12
52.6%	31.2%	16.2%	13
56.3%	27.3%	16.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (30.8%)

Results

901.0ms	8256×	body	128	valid
111.0ms	963×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-/l*_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	8
3	14	8
4	15	8

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
▶	0.1b	(fma.f64 y (/.f64 y z) x)
	5.5b	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)

series10.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

10.0ms

(fma.f64 y (/.f64 y z) x)

rewrite40.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log1p-expm1-u_binary64`
612×	`expm1-log1p-u_binary64`
323×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	8
2	1635	8

Stop Event

1×	node limit

Counts

1 → 29

Calls

1 calls:

39.0ms

(fma.f64 y (/.f64 y z) x)

simplify49.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

434×	`unswap-sqr_binary64`
423×	`associate-*r/_binary64`
392×	`associate-/r*_binary64`
388×	`associate-/r/_binary64`
331×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	303
1	14	303
2	23	303
3	40	249
4	87	249
5	271	249
6	1088	249
7	3509	249
8	4341	249
9	4551	249
10	4767	249

Stop Event

1×	node limit

Counts

65 → 34

prune20.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Error

0.0b

Counts

36 → 4

Alt Table

Status	Error	Program
▶	1.4b	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
	5.5b	(+.f64 x (/.f64 (*.f64 y y) z))
	33.5b	(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) 2)

Compiler

Compiled 470 to 153 computations (67.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (/.f64 y z) x)
✓	0.3b	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2)
✓	0.6b	(cbrt.f64 (fma.f64 y (/.f64 y z) x))

series124.0ms (3.7%)

Counts

3 → 108

Calls

3 calls:

62.0ms	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2)
47.0ms	(cbrt.f64 (fma.f64 y (/.f64 y z) x))
14.0ms	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2))

rewrite52.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`log1p-expm1-u_binary64`
802×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
87×	`prod-diff_binary64`
85×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	206	31
2	2262	31

Stop Event

1×	node limit

Counts

3 → 60

Calls

3 calls:

50.0ms	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2))
50.0ms	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2)
50.0ms	(cbrt.f64 (fma.f64 y (/.f64 y z) x))

simplify114.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-def_binary64`
311×	`unswap-sqr_binary64`
291×	`cancel-sign-sub-inv_binary64`
269×	`associate-r_binary64`
171×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4454
1	842	4238
2	3367	3944

Stop Event

1×	node limit

Counts

168 → 153

prune193.0ms (5.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	287	1	288
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	287	5	292

Error

0.0b

Counts

292 → 5

Alt Table

Status	Error	Program
✓	1.4b	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2))
▶	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
	5.5b	(+.f64 x (/.f64 (*.f64 y y) z))
	33.5b	(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) 2)

Compiler

Compiled 9713 to 4902 computations (49.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y (/.f64 z y)))
✓	0.2b	(/.f64 y (/.f64 z y))

series22.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

13.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
9.0ms	(/.f64 y (/.f64 z y))

rewrite51.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`prod-diff_binary64`
919×	`expm1-log1p-u_binary64`
84×	`add-sqr-sqrt_binary64`
80×	`log1p-expm1-u_binary64`
79×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	15
2	2468	15

Stop Event

1×	node limit

Counts

2 → 77

Calls

2 calls:

49.0ms	(+.f64 x (/.f64 y (/.f64 z y)))
49.0ms	(/.f64 y (/.f64 z y))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

434×	`unswap-sqr_binary64`
423×	`associate-*r/_binary64`
397×	`associate-/r/_binary64`
392×	`associate-/r*_binary64`
335×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	471
1	14	471
2	23	471
3	40	417
4	87	417
5	271	417
6	1094	417
7	3526	417
8	4358	417
9	4568	417
10	4784	417

Stop Event

1×	node limit

Counts

137 → 80

prune46.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	80	5	85

Error

Counts

85 → 5

Alt Table

Status	Error	Program
	5.5b	(+.f64 x (/.f64 (*.f64 y y) z))
▶	0.5b	(+.f64 x (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 y z))))
✓	1.4b	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2))
✓	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)

Compiler

Compiled 1118 to 383 computations (65.7% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series525.0ms (15.5%)

Counts

4 → 72

Calls

4 calls:

417.0ms	(*.f64 (cbrt.f64 y) (/.f64 y z))
46.0ms	(cbrt.f64 y)
42.0ms	(pow.f64 (cbrt.f64 y) 2)
20.0ms	(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 y z)))

rewrite55.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
84×	`egg-rr`
84×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	188	25
2	2360	25

Stop Event

1×	node limit

Counts

4 → 84

Calls

4 calls:

53.0ms	(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 y z)))
53.0ms	(*.f64 (cbrt.f64 y) (/.f64 y z))
53.0ms	(pow.f64 (cbrt.f64 y) 2)
53.0ms	(cbrt.f64 y)

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

549×	`unswap-sqr_binary64`
345×	`associate-l_binary64`
342×	`*-commutative_binary64`
320×	`associate-/l*_binary64`
290×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	640
1	64	580
2	149	580
3	454	580
4	1742	580
5	4447	580

Stop Event

1×	node limit

Counts

156 → 96

prune81.0ms (2.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Error

Counts

127 → 5

Alt Table

Status	Error	Program
	5.5b	(+.f64 x (/.f64 (*.f64 y y) z))
✓	0.5b	(+.f64 x (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 y z))))
✓	1.4b	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 2))
✓	0.1b	(+.f64 x (/.f64 y (/.f64 z y)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)

Compiler

Compiled 1930 to 844 computations (56.3% saved)

regimes197.0ms (5.8%)

Accuracy

Total 0.1b remaining (88.2%)

Threshold costs 0.1b (88.2%)

Counts

30 → 1

Compiler

Compiled 2726 to 1658 computations (39.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10

Stop Event

1×

saturated

end65.0ms (1.9%)

Compiler: Compiled 85 to 48 computations (43.5% saved)

Details

analyze541.0ms (16%)

sample1.0s (30.8%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series10.0ms (0.3%)

rewrite40.0ms (1.2%)

simplify49.0ms (1.5%)

prune20.0ms (0.6%)

localize8.0ms (0.2%)

series124.0ms (3.7%)

rewrite52.0ms (1.5%)

simplify114.0ms (3.4%)

prune193.0ms (5.7%)

localize6.0ms (0.2%)

series22.0ms (0.6%)

rewrite51.0ms (1.5%)

simplify61.0ms (1.8%)

prune46.0ms (1.4%)

localize12.0ms (0.4%)

series525.0ms (15.5%)

rewrite55.0ms (1.6%)

simplify52.0ms (1.5%)

prune81.0ms (2.4%)

regimes197.0ms (5.8%)

simplify2.0ms (0.1%)

end65.0ms (1.9%)

Profiling