Details

analyze166.0ms (8.7%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample997.0ms (52.3%)

Results

948.0ms	8256×	body	128	valid
37.0ms	312×	body	128	invalid

Compiler

Compiled 20 to 16 computations (20% saved)

preprocess29.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

526×	`distribute-rgt-in_binary64`
486×	`distribute-lft-in_binary64`
334×	`cancel-sign-sub-inv_binary64`
241×	`associate-l_binary64`
241×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	18	20
2	51	20
3	123	20
4	361	20
5	1601	20
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify20.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
236×	`distribute-rgt-neg-in_binary64`
235×	`distribute-rgt-in_binary64`
219×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	82	10
4	230	10
5	921	10
6	2917	10

Stop Event

1×	node limit

Counts

1 → 1

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series11.0ms (0.6%)

Counts

1 → 6

Calls

6 calls:

2.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	x	0
2.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	x	inf
2.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	x	-inf
2.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	y	-inf
2.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	y	inf

rewrite44.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
469×	`prod-diff_binary64`
75×	`add-sqr-sqrt_binary64`
75×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	159	10
2	1997	10

Stop Event

1×	node limit

Counts

1 → 71

simplify27.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def_binary64`
684×	`unswap-sqr_binary64`
586×	`associate-l_binary64`
323×	`associate-r_binary64`
215×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	16	30
2	34	30
3	65	30
4	152	30
5	481	30
6	1762	30
7	3577	30

Stop Event

1×	node limit

Counts

77 → 74

prune66.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Error

Counts

75 → 2

Alt Table

Status	Error	Program
▶	8.8b	(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 1543 to 1093 computations (29.2% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
✓	19.0b	(cbrt.f64 (pow.f64 x 8))
✓	28.2b	(cbrt.f64 (pow.f64 x 4))

series102.0ms (5.4%)

Counts

3 → 14

Calls

12 calls:

37.0ms	(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))	y	0
25.0ms	(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))	y	inf
20.0ms	(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))	y	-inf
6.0ms	(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))	x	inf
4.0ms	(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))	x	-inf

rewrite83.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`log1p-expm1-u_binary64`
800×	`expm1-log1p-u_binary64`
262×	`prod-diff_binary64`
225×	`egg-rr`
108×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	249	22
2	2696	22

Stop Event

1×	node limit

Counts

3 → 225

simplify28.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64`
346×	`fma-def_binary64`
253×	`*-commutative_binary64`
236×	`distribute-rgt-neg-in_binary64`
235×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	118
1	18	118
2	42	118
3	94	118
4	245	118
5	912	118
6	2869	118

Stop Event

1×	node limit

Counts

239 → 228

prune190.0ms (10%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	228	2	230

Error

Counts

230 → 2

Alt Table

Status	Error	Program
✓	8.8b	(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 5761 to 4024 computations (30.2% saved)

regimes71.0ms (3.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

11 → 1

Compiler

Compiled 870 to 688 computations (20.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	14	10
3	16	10
4	17	10

Stop Event

1×

saturated

end53.0ms (2.8%)

Stop Event

1×

done

Compiler

Compiled 42 to 33 computations (21.4% saved)

Details

analyze166.0ms (8.7%)

sample997.0ms (52.3%)

preprocess29.0ms (1.5%)

simplify20.0ms (1.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series11.0ms (0.6%)

rewrite44.0ms (2.3%)

simplify27.0ms (1.4%)

prune66.0ms (3.5%)

localize9.0ms (0.5%)

series102.0ms (5.4%)

rewrite83.0ms (4.3%)

simplify28.0ms (1.5%)

prune190.0ms (10%)

regimes71.0ms (3.7%)

simplify2.0ms (0.1%)

end53.0ms (2.8%)

Profiling