Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.1s (48.3%)

Results

1.0s	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify22.0ms (1%)

Algorithm

1×	egg-herbie

Rules

598×	`fma-def_binary64`
423×	`distribute-rgt-in_binary64`
403×	`associate-/l*_binary64`
348×	`distribute-lft-in_binary64`
224×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	710	27
5	1695	25
6	2919	25

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 77 to 58 computations (24.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.2b	(.f64 3 (.f64 v v))

series24.0ms (1.1%)

Counts

4 → 48

Calls

4 calls:

11.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
6.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
2.0ms	(.f64 3 (.f64 v v))

rewrite60.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`prod-diff_binary64`
149×	`add-sqr-sqrt_binary64`
149×	`log1p-expm1-u_binary64`
149×	`expm1-log1p-u_binary64`
146×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	333	58
2	4037	58

Stop Event

1×	node limit

Counts

4 → 90

Calls

4 calls:

58.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
58.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
58.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
58.0ms	(.f64 3 (.f64 v v))

simplify39.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
520×	`cancel-sign-sub-inv_binary64`
338×	`associate-/r*_binary64`
271×	`fma-neg_binary64`
173×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1394
1	419	1338
2	1557	1196

Stop Event

1×	node limit

Counts

138 → 159

prune152.0ms (6.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	2	160

Error

Counts

160 → 2

Alt Table

Status	Error	Program
	1.0b	(.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)))) 1) (-.f64 1 (*.f64 v v)))
▶	0.0b	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

Status

Error

Program

1.0b

(*.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)) 1/8)))) 1) (-.f64 1 (*.f64 v v)))

▶

0.0b

(*.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 4049 to 3128 computations (22.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))
✓	0.0b	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 (.f64 v v) -3)

series20.0ms (0.9%)

Counts

3 → 36

Calls

3 calls:

8.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))
6.0ms	(.f64 (.f64 v v) -3)
6.0ms	(sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))

rewrite60.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`prod-diff_binary64`
397×	`fma-def_binary64`
209×	`expm1-udef_binary64`
208×	`log1p-udef_binary64`
127×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	261	42
2	3212	42

Stop Event

1×	node limit

Counts

3 → 86

Calls

3 calls:

58.0ms	(sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))
58.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))
58.0ms	(.f64 (.f64 v v) -3)

simplify32.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-def_binary64`
414×	`cancel-sign-sub-inv_binary64`
306×	`associate-l_binary64`
302×	`associate-r_binary64`
233×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1048
1	334	1023
2	1252	900

Stop Event

1×	node limit

Counts

122 → 133

prune117.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	133	2	135

Error

Counts

135 → 2

Alt Table

Status	Error	Program
▶	1.0b	(.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))) 1) (-.f64 1 (.f64 v v)))
✓	0.0b	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 3311 to 2559 computations (22.7% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))
✓	0.0b	(exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))
✓	0.0b	(log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))
✓	1.0b	(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))) 1)

series59.0ms (2.6%)

Counts

4 → 48

Calls

4 calls:

22.0ms	(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))) 1)
19.0ms	(exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))
12.0ms	(log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))
6.0ms	(sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))

rewrite63.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`log-prod_binary64`
300×	`prod-diff_binary64`
177×	`log1p-udef_binary64`
176×	`expm1-udef_binary64`
175×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	229	57
2	2558	57

Stop Event

1×	node limit

Counts

4 → 174

Calls

4 calls:

58.0ms	(sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))
58.0ms	(exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))
58.0ms	(log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))
58.0ms	(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))) 1)

simplify67.0ms (3%)

Algorithm

1×	egg-herbie

Rules

520×	`cancel-sign-sub-inv_binary64`
359×	`sub-neg_binary64`
237×	`fma-neg_binary64`
206×	`fma-def_binary64`
193×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	3787
1	1120	2987
2	3575	2712

Stop Event

1×	node limit

Counts

222 → 212

prune189.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	212	2	214

Error

Counts

214 → 2

Alt Table

Status	Error	Program
✓	1.0b	(.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))) 1) (-.f64 1 (.f64 v v)))
✓	0.0b	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 8350 to 6902 computations (17.3% saved)

regimes162.0ms (7.2%)

Accuracy

Total 0.0b remaining (23.6%)

Threshold costs 0.0b (23.6%)

Counts

55 → 1

Compiler

Compiled 3525 to 2751 computations (22% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	22	22
2	29	22
3	33	22
4	35	22

Stop Event

1×

saturated

end58.0ms (2.6%)

Compiler: Compiled 69 to 52 computations (24.6% saved)

Details

analyze6.0ms (0.3%)

sample1.1s (48.3%)

simplify22.0ms (1%)

prune3.0ms (0.1%)

localize10.0ms (0.4%)

series24.0ms (1.1%)

rewrite60.0ms (2.7%)

simplify39.0ms (1.7%)

prune152.0ms (6.7%)

localize8.0ms (0.3%)

series20.0ms (0.9%)

rewrite60.0ms (2.6%)

simplify32.0ms (1.4%)

prune117.0ms (5.2%)

localize13.0ms (0.6%)

series59.0ms (2.6%)

rewrite63.0ms (2.8%)

simplify67.0ms (3%)

prune189.0ms (8.4%)

regimes162.0ms (7.2%)

simplify2.0ms (0.1%)

end58.0ms (2.6%)

Profiling