Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 21 to 17 computations (19% saved)

sample939.0ms (31.4%)

Results

927.0ms

8256×

body

128

valid

Compiler

Compiled 42 to 34 computations (19% saved)

preprocess51.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

677×	`fma-def_binary64`
646×	`fma-neg_binary64`
298×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`
214×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	22
2	67	22
3	107	22
4	153	22
5	195	20
6	292	20
7	529	20
8	1152	20
9	2277	20
10	4735	20
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 20 to 16 computations (20% saved)

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-def_binary64`
646×	`fma-neg_binary64`
298×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`
214×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	22
2	67	22
3	107	22
4	153	22
5	195	20
6	292	20
7	529	20
8	1152	20
9	2277	20
10	4735	20

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Status

Error

Program

▶

0.1b

(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))

0.1b

(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 107 to 83 computations (22.4% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
✓	0.4b	(*.f64 x 4481/100000)
✓	0.4b	(*.f64 x 27061/100000)
✓	13.4b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))

series10.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

2.0ms	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))	x	-inf
1.0ms	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))	x	inf
1.0ms	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))	x	-inf
1.0ms	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))	x	inf
1.0ms	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))	x	0

rewrite41.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

191×	`add-sqr-sqrt_binary64`
186×	`log1p-expm1-u_binary64`
186×	`expm1-log1p-u_binary64`
185×	`add-cbrt-cube_binary64`
180×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	391	46

Stop Event

1×	node limit

Counts

4 → 78

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

549×	`fma-def_binary64`
541×	`times-frac_binary64`
362×	`cancel-sign-sub-inv_binary64`
272×	`fma-neg_binary64`
261×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	452
1	191	436
2	492	424
3	1419	408
4	4651	408

Stop Event

1×	node limit

Counts

126 → 111

prune120.0ms (4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	109	4	113

Error

0.0b

Counts

113 → 4

Alt Table

Status	Error	Program
	14.4b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000) (+.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
	21.1b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 x 3)) 70711/100000) (+.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
	29.8b	(fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000))
▶	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 2501 to 1968 computations (21.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	0.1b	(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	13.4b	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series9.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

1.0ms	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))	x	-inf
1.0ms	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))	x	inf
1.0ms	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))	x	0
1.0ms	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))	x	-inf
1.0ms	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))	x	inf

rewrite67.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
176×	`log-pow_binary64`
157×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	267	46
2	2965	46

Stop Event

1×	node limit

Counts

4 → 117

simplify47.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

485×	`fma-def_binary64`
417×	`times-frac_binary64`
342×	`sub-neg_binary64`
309×	`cancel-sign-sub-inv_binary64`
245×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	500
1	167	448
2	421	436
3	1168	420
4	3778	420

Stop Event

1×	node limit

Counts

165 → 154

prune185.0ms (6.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	153	5	158

Error

0.0b

Counts

158 → 5

Alt Table

Status	Error	Program
▶	14.4b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000) (+.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
	21.1b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 x 3)) 70711/100000) (+.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
	21.1b	(/.f64 (+.f64 (pow.f64 (.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (.f64 x -70711/100000) (.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
	29.8b	(fma.f64 x -70711/100000 (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)))
✓	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 3391 to 2631 computations (22.4% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000)
✓	0.6b	(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)
✓	13.4b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓	13.8b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000) (+.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))

series12.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

1.0ms	(.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000)	x	-inf
1.0ms	(.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000)	x	inf
1.0ms	(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)	x	-inf
1.0ms	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000) (+.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))	x	0
1.0ms	(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)	x	inf

rewrite49.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

200×	`add-sqr-sqrt_binary64`
196×	`log1p-expm1-u_binary64`
196×	`expm1-log1p-u_binary64`
194×	`add-cbrt-cube_binary64`
190×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	112
1	420	85

Stop Event

1×	node limit

Counts

4 → 119

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-neg_binary64`
432×	`associate-/r*_binary64`
320×	`sub-neg_binary64`
310×	`fma-def_binary64`
257×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	778
1	344	746
2	934	722
3	2801	706

Stop Event

1×	node limit

Counts

167 → 178

prune322.0ms (10.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	221	7	228

Error

0.0b

Counts

228 → 7

Alt Table

Status	Error	Program
✓	14.4b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000) (+.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
▶	0.1b	(pow.f64 (/.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) -1)
	21.1b	(/.f64 (+.f64 (pow.f64 (.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (.f64 x -70711/100000) (.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 2) (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))
	29.8b	(fma.f64 x -70711/100000 (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)))
✓	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	14.4b	(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 100000/70711)) (/.f64 (.f64 x x) (*.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 100000/70711)))

Compiler

Compiled 8639 to 6400 computations (25.9% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.6b	(pow.f64 (/.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) -1)
✓	0.6b	(/.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))
	13.4b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series6.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

1.0ms	(/.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))	x	-inf
1.0ms	(/.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))	x	inf
1.0ms	(pow.f64 (/.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) -1)	x	-inf
1.0ms	(pow.f64 (/.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) -1)	x	inf
1.0ms	(/.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))	x	0

rewrite62.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
169×	`add-sqr-sqrt_binary64`
168×	`log1p-expm1-u_binary64`
168×	`expm1-log1p-u_binary64`
165×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	368	44
2	4349	44

Stop Event

1×	node limit

Counts

2 → 67

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

748×	`times-frac_binary64`
631×	`fma-def_binary64`
247×	`fma-neg_binary64`
239×	`cancel-sign-sub-inv_binary64`
234×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	356
1	190	338
2	496	327
3	1442	312
4	4618	312

Stop Event

1×	node limit

Counts

91 → 96

prune176.0ms (5.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	3	1	4
Picked	1	0	1
Done	0	2	2
Total	174	5	179

Error

Counts

179 → 5

Alt Table

Status	Error	Program
✓	14.4b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 x x)) 70711/100000) (+.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
	29.8b	(fma.f64 x -70711/100000 (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)))
✓	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	0.1b	(/.f64 -1 (neg.f64 (/.f64 100000/70711 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))
	0.2b	(/.f64 70711/100000 (/.f64 1 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))

Compiler

Compiled 4074 to 3271 computations (19.7% saved)

regimes570.0ms (19%)

Accuracy

Total 0.1b remaining (70.7%)

Threshold costs 0.1b (70.7%)

Counts

167 → 1

Compiler

Compiled 10637 to 8312 computations (21.9% saved)

simplify3.0ms (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	14	22
1	18	22
2	22	22
3	24	22
4	25	22

Stop Event

1×

saturated

end100.0ms (3.3%)

Stop Event

1×

fuel

Compiler

Compiled 141 to 108 computations (23.4% saved)

Details

analyze5.0ms (0.2%)

sample939.0ms (31.4%)

preprocess51.0ms (1.7%)

simplify37.0ms (1.2%)

prune4.0ms (0.1%)

localize11.0ms (0.4%)

series10.0ms (0.3%)

rewrite41.0ms (1.4%)

simplify43.0ms (1.4%)

prune120.0ms (4%)

localize12.0ms (0.4%)

series9.0ms (0.3%)

rewrite67.0ms (2.2%)

simplify47.0ms (1.6%)

prune185.0ms (6.2%)

localize15.0ms (0.5%)

series12.0ms (0.4%)

rewrite49.0ms (1.7%)

simplify45.0ms (1.5%)

prune322.0ms (10.8%)

localize13.0ms (0.4%)

series6.0ms (0.2%)

rewrite62.0ms (2.1%)

simplify39.0ms (1.3%)

prune176.0ms (5.9%)

regimes570.0ms (19%)

simplify3.0ms (0.1%)

end100.0ms (3.3%)

Profiling