Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.3s (69.7%)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 74 to 58 computations (21.6% saved)

preprocess44.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1108×	`fma-def_binary64`
549×	`times-frac_binary64`
299×	`associate-+l+_binary64`
252×	`associate-/l*_binary64`
243×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	49	46
3	135	42
4	349	42
5	628	42
6	1060	42
7	2279	38
8	3243	36
9	4446	36
10	4793	36
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify34.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1108×	`fma-def_binary64`
549×	`times-frac_binary64`
299×	`associate-+l+_binary64`
252×	`associate-/l*_binary64`
243×	`associate-+r+_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	49	46
3	135	42
4	349	42
5	628	42
6	1060	42
7	2279	38
8	3243	36
9	4446	36
10	4793	36

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

Compiler

Compiled 113 to 87 computations (23% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
✓	0.1b	(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t)))

series5.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

1.0ms	(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t)))	t	0
1.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))	t	-inf
1.0ms	(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t)))	t	inf
1.0ms	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))	t	inf
1.0ms	(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t)))	t	-inf

rewrite55.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`prod-diff_binary64`
138×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`
132×	`pow1_binary64`
130×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	275	49
2	3864	49

Stop Event

1×	node limit

Counts

2 → 57

simplify23.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
332×	`cancel-sign-sub-inv_binary64`
298×	`associate-l_binary64`
285×	`fma-neg_binary64`
258×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	348
1	166	338
2	454	329
3	1405	318

Stop Event

1×	node limit

Counts

81 → 85

prune113.0ms (6.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	2	124

Error

Counts

124 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
▶	28.7b	(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))

Compiler

Compiled 3625 to 2819 computations (22.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.0b	(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))

series3.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))	t	inf
1.0ms	(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))	t	-inf
1.0ms	(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))	t	0

rewrite37.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`pow1_binary64`
649×	`add-log-exp_binary64`
647×	`log1p-expm1-u_binary64`
647×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	171	12
2	1755	12

Stop Event

1×	node limit

Counts

1 → 23

simplify30.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-neg_binary64`
476×	`cancel-sign-sub-inv_binary64`
425×	`distribute-rgt-neg-in_binary64`
349×	`fma-def_binary64`
243×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	144
1	35	126
2	92	114
3	312	114
4	962	114
5	2068	114
6	3484	114

Stop Event

1×	node limit

Counts

35 → 32

prune17.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
✓	28.7b	(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))

Compiler

Compiled 441 to 328 computations (25.6% saved)

regimes96.0ms (5.3%)

Accuracy

Total 0.0b remaining (46.7%)

Threshold costs 0.0b (46.7%)

Counts

20 → 1

Compiler

Compiled 1600 to 1246 computations (22.1% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	16	36

Stop Event

1×

saturated

end59.0ms (3.3%)

Stop Event

1×

done

Compiler

Compiled 88 to 67 computations (23.9% saved)

Details

analyze6.0ms (0.3%)

sample1.3s (69.7%)

preprocess44.0ms (2.5%)

simplify34.0ms (1.9%)

prune5.0ms (0.3%)

localize9.0ms (0.5%)

series5.0ms (0.3%)

rewrite55.0ms (3.1%)

simplify23.0ms (1.3%)

prune113.0ms (6.3%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite37.0ms (2.1%)

simplify30.0ms (1.7%)

prune17.0ms (1%)

regimes96.0ms (5.3%)

simplify3.0ms (0.2%)

end59.0ms (3.3%)

Profiling