Details

analyze5.0ms (0.1%)

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.6s (43.9%)

Results

1.6s	8256×	body	256	valid
2.0ms	14×	body	256	invalid

preprocess79.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

748×	`fma-neg_binary64`
738×	`div-sub_binary64`
598×	`fma-def_binary64`
488×	`associate-/l*_binary64`
410×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	711	27
5	1689	25
6	2917	25
7	5200	25
8	7541	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (*.f64 (fma.f64 v v -1) (/.f64 (sqrt.f64 2) -4)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-neg_binary64`
738×	`div-sub_binary64`
598×	`fma-def_binary64`
488×	`associate-/l*_binary64`
410×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	711	27
5	1689	25
6	2917	25
7	5200	25
8	7541	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (*.f64 (fma.f64 v v -1) (/.f64 (sqrt.f64 2) -4)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))

eval1.0ms (0%)

Compiler: Compiled 37 to 28 computations (24.3% saved)

prune1.0ms (0%)

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

Click to see full 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 20 to 15 computations (25% saved)

localize29.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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))

Compiler

Compiled 72 to 48 computations (33.3% saved)

series6.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
1.0ms	v	@	0	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
1.0ms	v	@	0	(.f64 3 (.f64 v v))
1.0ms	v	@	-inf	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
1.0ms	v	@	inf	(.f64 3 (.f64 v v))

rewrite85.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`prod-diff_binary64`
533×	`log-prod_binary64`
321×	`pow-prod-down_binary64`
298×	`pow2_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	277	34
2	3193	30

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 2)) (.f64 v v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 3 (.f64 v v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (pow.f64 v 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 27 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3 (.f64 v v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (.f64 v v) 1)) 2) (cbrt.f64 (fma.f64 3 (.f64 v v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (.f64 v (sqrt.f64 3))) (hypot.f64 1 (.f64 v (sqrt.f64 3))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 4 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (fma.f64 (.f64 v v) -3 1))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (neg.f64 (sqrt.f64 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 v v) -3 1)) (pow.f64 (fma.f64 (.f64 v v) -3 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 1/6) (cbrt.f64 (fma.f64 (.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 1/4) (pow.f64 (fma.f64 (.f64 v v) -3 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 9 (pow.f64 v 4)))) (hypot.f64 1 (.f64 v (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 27 (pow.f64 v 6)))) (hypot.f64 1 (hypot.f64 (.f64 3 (.f64 v v)) (.f64 v (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 v v) -3 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 v v) -3 1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (.f64 (.f64 v v) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 (.f64 (.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 (.f64 v v) -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 (*.f64 v v) -3))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) 2)) (*.f64 v v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 3 (*.f64 v v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 v 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3 (*.f64 v v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 v v) 1)) 2) (cbrt.f64 (fma.f64 3 (*.f64 v v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 3))) (hypot.f64 1 (*.f64 v (sqrt.f64 3))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 4 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (neg.f64 (sqrt.f64 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/6) (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4)))) (hypot.f64 1 (*.f64 v (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 27 (pow.f64 v 6)))) (hypot.f64 1 (hypot.f64 (*.f64 3 (*.f64 v v)) (*.f64 v (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 (*.f64 v v) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 (*.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 (*.f64 v v) -3))) 1))))))

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-/l*_binary64`
514×	`associate-*l/_binary64`
482×	`fma-def_binary64`
461×	`associate-/l/_binary64`
453×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	770
1	290	758
2	899	718
3	3470	682
4	7809	682

Stop Event

1×	node limit

Counts

111 → 122

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))

Outputs
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -3/8)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (*.f64 v -3/8))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -3/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -3/8) (.f64 (sqrt.f64 2) (+.f64 (.f64 -9/32 (pow.f64 v 4)) 1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (+.f64 (.f64 -9/32 (pow.f64 v 4)) (.f64 (.f64 v v) -3/8))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6)) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v (.f64 v (sqrt.f64 2))) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) -27/64)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -27/64 (pow.f64 v 6)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -9/32 (pow.f64 v 4)) (.f64 v (.f64 v -3/8)))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 -27/64 (pow.f64 v 6)) (.f64 (.f64 v v) -3/8)) (+.f64 1/4 (*.f64 -9/32 (pow.f64 v 4)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 v (sqrt.f64 -3)))
(.f64 v (.f64 (sqrt.f64 2) (*.f64 1/4 (sqrt.f64 -3))))
(.f64 v (.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -3))) (/.f64 1/8 (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -3))))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (+.f64 (/.f64 1/8 v) (/.f64 -1/32 (.f64 (pow.f64 v 3) -3)))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3)))))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (+.f64 (/.f64 1/8 v) (/.f64 -1/32 (.f64 (pow.f64 v 3) -3)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 v (.f64 1/4 (sqrt.f64 -3))) (/.f64 1/64 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/4)
(.f64 (.f64 v (sqrt.f64 2)) (*.f64 (sqrt.f64 -3) -1/4))
(.f64 v (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) -1/4)))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/4))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/4 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 (sqrt.f64 -3) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(.f64 (sqrt.f64 2) (+.f64 (.f64 v (.f64 (sqrt.f64 -3) -1/4)) (/.f64 -1/8 (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) 1/32)))
(fma.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/4 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -3))) 1/32)))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 (sqrt.f64 -3) -1/4)) (fma.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8 (/.f64 (.f64 (/.f64 -1/96 (sqrt.f64 -3)) (sqrt.f64 2)) (pow.f64 v 3))))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 (sqrt.f64 -3) -1/4)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (+.f64 (/.f64 -1/8 v) (/.f64 1/32 (.f64 (pow.f64 v 3) -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) 1/32))))
(fma.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) -1/64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/4 (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) 1/32))))
(fma.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (sqrt.f64 2) (.f64 v (.f64 (sqrt.f64 -3) -1/4)) (fma.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) -1/64 (/.f64 (*.f64 (/.f64 -1/96 (sqrt.f64 -3)) (sqrt.f64 2)) (pow.f64 v 3)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v (.f64 (sqrt.f64 -3) -1/4)) (/.f64 -1/64 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (+.f64 (/.f64 -1/8 v) (/.f64 1/32 (.f64 (pow.f64 v 3) -3)))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (.f64 (.f64 v v) -3/2))
(fma.f64 (*.f64 v v) -3/2 1)
(fma.f64 v (*.f64 v -3/2) 1)
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 -3/2 (.f64 v v) (.f64 (pow.f64 v 4) -9/8)))
(+.f64 1 (fma.f64 (.f64 v v) -3/2 (.f64 (pow.f64 v 4) -9/8)))
(fma.f64 v (*.f64 v -3/2) (fma.f64 (pow.f64 v 4) -9/8 1))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 1 (fma.f64 -3/2 (.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (.f64 (pow.f64 v 4) -9/8))))
(+.f64 1 (fma.f64 (.f64 v v) -3/2 (fma.f64 (pow.f64 v 4) -9/8 (.f64 (pow.f64 v 6) -27/16))))
(+.f64 1 (fma.f64 v (.f64 v -3/2) (fma.f64 (pow.f64 v 4) -9/8 (.f64 (pow.f64 v 6) -27/16))))
(+.f64 (fma.f64 v (.f64 v -3/2) (fma.f64 (pow.f64 v 4) -9/8 1)) (.f64 (pow.f64 v 6) -27/16))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(+.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/2 (.f64 v (sqrt.f64 -3))))
(fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))
(fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v))
(fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/2 (.f64 v (sqrt.f64 -3)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))) (/.f64 -1/8 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -3))))
(-.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)) (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/24 (sqrt.f64 -3)) (pow.f64 v 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (-.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (/.f64 1/8 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3)))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/24 (sqrt.f64 -3)) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(neg.f64 (*.f64 v (sqrt.f64 -3)))
(*.f64 (sqrt.f64 -3) (neg.f64 v))
(*.f64 v (neg.f64 (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -3))) (/.f64 1/2 (.f64 v (sqrt.f64 -3))))
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))))
(-.f64 (/.f64 -1/2 (.f64 v (sqrt.f64 -3))) (.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -3)) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -3))) (neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))))
(-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)))
(-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -3)) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -3))) (.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v))) (/.f64 -1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))
(+.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)))))

eval141.0ms (3.9%)

Compiler: Compiled 2908 to 2183 computations (24.9% saved)

prune15.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	3	123

Error

Counts

123 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
▶	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
▶	0.3b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))

Status

Error

Program

▶

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

▶

0.2b

(*.f64 (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))

▶

0.3b

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

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize19.0ms (0.5%)

Compiler: Compiled 51 to 30 computations (41.2% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	0	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	-inf	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))

rewrite63.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`pow1_binary64`
847×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	209	12
2	2424	12

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 1/8)) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 1/8)) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/8 (pow.f64 (-.f64 1 (.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (-.f64 1 (.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (.f64 (sqrt.f64 1/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 1/8)) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 1/8)) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (*.f64 (sqrt.f64 1/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))))

simplify169.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	192
1	23	192
2	47	165
3	101	147
4	249	147
5	763	147
6	1066	147
7	1482	147
8	1582	147
9	1717	147
10	1889	147
11	2130	147
12	2445	147
13	2815	147
14	3271	147
15	3862	147
16	4572	147
17	5432	147
18	5856	147
19	6168	147
20	6476	147
21	6556	147
22	6590	147

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))

Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 -1/4 (.f64 v (*.f64 (sqrt.f64 2) v)))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4))
(.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 -1/4 (.f64 v (*.f64 (sqrt.f64 2) v)))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -1/4 (.f64 v v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 -1/4 v) 1/4))

localize18.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))
✓	0.2b	(.f64 (.f64 v v) -3/8)

Compiler

Compiled 54 to 33 computations (38.9% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))
0.0ms	v	@	0	(.f64 (.f64 v v) -3/8)
0.0ms	v	@	inf	(.f64 (.f64 v v) -3/8)
0.0ms	v	@	0	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))
0.0ms	v	@	-inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))

rewrite100.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`log-prod_binary64`
396×	`prod-exp_binary64`
354×	`prod-diff_binary64`
344×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	220	20
2	2688	20

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(.f64 (.f64 v v) -3/8)
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -3/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 4) 9/64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -3/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 6) -27/512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 v (*.f64 v -3/8)))) 2)) (cbrt.f64 (log.f64 (*.f64 v (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 v (*.f64 v -3/8))))) (sqrt.f64 (log.f64 (*.f64 v (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 v 6) -27/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -3/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 v (*.f64 v -3/8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (sqrt.f64 -3/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 v 6) -27/512)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -3/8))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -3/8))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 v) 1) (log.f64 (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 v -3/8)) (*.f64 (log.f64 v) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v v) (*.f64 -3/8 (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (*.f64 v v) (*.f64 -3/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1) (*.f64 (*.f64 (*.f64 v v) (*.f64 -3/8 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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#<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (pow.f64 v 4) 9/64))) (cbrt.f64 (*.f64 v (*.f64 v -3/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3/8))) (*.f64 v (sqrt.f64 -3/8)) (*.f64 (sqrt.f64 2) 1/4))))))

simplify187.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
636×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	276
1	25	276
2	51	249
3	108	231
4	294	231
5	900	231
6	1179	231
7	1595	231
8	1695	231
9	1830	231
10	1999	231
11	2242	231
12	2557	231
13	2929	231
14	3383	231
15	3968	231
16	4676	231
17	5536	231
18	5962	231
19	6278	231
20	6584	231
21	6664	231
22	6700	231

Stop Event

1×	node limit

Counts

123 → 106

Calls

Call 1

Inputs
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 -3/8 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -3/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -3/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))

Outputs
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 -3/8 (pow.f64 v 2))
(.f64 -3/8 (.f64 v v))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(.f64 -3/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2)))
(.f64 -3/8 (.f64 v (*.f64 v (sqrt.f64 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(.f64 -3/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2)))
(.f64 -3/8 (.f64 v (*.f64 v (sqrt.f64 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -3/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))

eval54.0ms (1.5%)

Compiler: Compiled 2512 to 1861 computations (25.9% saved)

prune28.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Error

Counts

133 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
✓	0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
✓	0.3b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
▶	0.3b	(*.f64 1/4 (sqrt.f64 2))

Compiler

Compiled 62 to 48 computations (22.6% saved)

localize5.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize107.0ms (2.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v))))
✓	0.0b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
✓	1.0b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)

Compiler

Compiled 44 to 29 computations (34.1% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
0.0ms	v	@	inf	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
0.0ms	v	@	0	(+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v))))
0.0ms	v	@	-inf	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
0.0ms	v	@	inf	(+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v))))

rewrite107.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`prod-diff_binary64`
489×	`fma-def_binary64`
416×	`log-prod_binary64`
264×	`pow-prod-down_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	228	37
2	3108	37

Stop Event

1×	node limit

Counts

3 → 243

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) (cbrt.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) 1/8) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/8 1/4) (*.f64 (pow.f64 1/8 1/4) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 1/8 1/6) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) -1) (/.f64 1 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/8 (-.f64 1 (*.f64 v v))) 1/2) (sqrt.f64 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) 1/2) (pow.f64 1/8 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (pow.f64 1/8 1/4)) (pow.f64 1/8 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2)) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) (-.f64 1 (*.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) -1) (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) 2) -1)) (neg.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) -1) 2) (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) -1) 2)) (-.f64 1 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 1/8)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule 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fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2)) (sqrt.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 1/8 (-.f64 1 (*.f64 v v))) 1/2) (sqrt.f64 (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 (*.f64 v v)) 1/2) (pow.f64 1/8 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 (*.f64 v v)) (pow.f64 1/8 1/4)) (pow.f64 1/8 1/4) 1)))))

simplify102.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

695×	`fma-def_binary64`
641×	`fma-neg_binary64`
468×	`distribute-rgt-neg-in_binary64`
379×	`distribute-lft-neg-in_binary64`
335×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	510
1	30	483
2	64	411
3	167	411
4	415	411
5	1271	411
6	2928	411
7	4194	411
8	6380	411
9	7797	411

Stop Event

1×	node limit

Counts

279 → 169

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(sqrt.f64 1/8)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 1 (sqrt.f64 1/8))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))

Outputs
(sqrt.f64 1/8)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (.f64 (sqrt.f64 1/8) (.f64 v v)))
(.f64 (.f64 v v) (neg.f64 (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (.f64 (sqrt.f64 1/8) (.f64 v v)))
(.f64 (.f64 v v) (neg.f64 (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(sqrt.f64 1/8)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (.f64 (sqrt.f64 1/8) (.f64 v v)))
(.f64 (.f64 v v) (neg.f64 (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (.f64 (sqrt.f64 1/8) (.f64 v v)))
(.f64 (.f64 v v) (neg.f64 (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 1 (sqrt.f64 1/8))
(+.f64 (sqrt.f64 1/8) 1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (.f64 (sqrt.f64 1/8) (.f64 v v)))
(.f64 (.f64 v v) (neg.f64 (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (.f64 (sqrt.f64 1/8) (.f64 v v)))
(.f64 (.f64 v v) (neg.f64 (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8)) 1)
(+.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (sqrt.f64 1/8) (.f64 v v))))
(fma.f64 (fma.f64 (neg.f64 v) v 1) (sqrt.f64 1/8) 1)
(fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1)
(-.f64 1 (*.f64 (sqrt.f64 1/8) (fma.f64 v v -1)))

eval75.0ms (2.1%)

Compiler: Compiled 3163 to 2354 computations (25.6% saved)

prune60.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	166	3	169
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	168	6	174

Error

Counts

174 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
✓	0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
▶	1.3b	(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
▶	0.3b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
▶	0.3b	(sqrt.f64 1/8)

Compiler

Compiled 65 to 51 computations (21.5% saved)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
0.0ms	v	@	0	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
0.0ms	v	@	-inf	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`pow1_binary64`
694×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	167	12
2	1966	12

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 1/8)) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 1/8)) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (*.f64 1/8 (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/8 (sqrt.f64 1/8)) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))))))))

simplify114.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-def_binary64`
467×	`distribute-rgt-neg-in_binary64`
425×	`fma-neg_binary64`
377×	`distribute-lft-neg-in_binary64`
349×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	160
1	22	151
2	52	133
3	126	133
4	324	133
5	1115	133
6	2518	133
7	3696	133
8	5804	133
9	7274	133

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))

Outputs
(sqrt.f64 1/8)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (.f64 (sqrt.f64 1/8) (.f64 v v)))
(.f64 (sqrt.f64 1/8) (neg.f64 (.f64 v v)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (.f64 (sqrt.f64 1/8) (.f64 v v)))
(.f64 (sqrt.f64 1/8) (neg.f64 (.f64 v v)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)

Compiler

Compiled 15 to 15 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite48.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
523×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	139	3
2	1788	3

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 1/8) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 1/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 1/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/8 1/4) (pow.f64 1/8 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/8 1/4) (*.f64 (pow.f64 1/8 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (cbrt.f64 (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cbrt.f64 (sqrt.f64 1/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 2) (+.f64 (sqrt.f64 1/8) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 1/8) 2) (sqrt.f64 1/8)) (/.f64 1 (+.f64 (sqrt.f64 1/8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 1/8 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 1/8 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (-.f64 (sqrt.f64 1/8) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 2) (+.f64 (sqrt.f64 1/8) 2)) (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 1/8) 2) (*.f64 (+.f64 (sqrt.f64 1/8) 2) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 2) (+.f64 (sqrt.f64 1/8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 2) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 1/8) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 1/8 3/2) (+.f64 1/8 (-.f64 0 (*.f64 (sqrt.f64 1/8) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 1/8) 2) (sqrt.f64 1/8)) (+.f64 (sqrt.f64 1/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 1/8) 2) (sqrt.f64 1/8)) (-.f64 (+.f64 (sqrt.f64 1/8) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 1/8) 1) 2) (+.f64 (sqrt.f64 1/8) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 1/8) 2) (sqrt.f64 1/8))) (neg.f64 (+.f64 (sqrt.f64 1/8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 1/8 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 1/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 1/8 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 1/8 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 1/8 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 1/8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 1/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 1/8) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 1/8) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1/8 1/4) (pow.f64 1/8 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 1/8 1/4)) (hypot.f64 1 (pow.f64 1/8 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (cbrt.f64 (sqrt.f64 1/8)) 0)))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

42 → 42

Calls

Call 1

Inputs

Outputs

eval18.0ms (0.5%)

Compiler: Compiled 638 to 567 computations (11.1% saved)

prune9.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	66	6	72

Error

Counts

72 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
✓	0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
✓	1.3b	(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
✓	0.3b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
✓	0.3b	(sqrt.f64 1/8)

Compiler

Compiled 65 to 51 computations (21.5% saved)

regimes33.0ms (0.9%)

Counts

9 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))

Calls

4 calls:

5.0ms	v
3.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Results

Error	Segments	Branch
0b	1	`v`
0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0b	1	`(*.f64 v v)`

Compiler

Compiled 139 to 100 computations (28.1% saved)

regimes10.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))

Outputs
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))

Calls

2 calls:

5.0ms	v
3.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.2b	1	`v`
0.2b	1	`(*.f64 v v)`

Compiler

Compiled 65 to 48 computations (26.2% saved)

regimes10.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)

Outputs
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))

Calls

2 calls:

5.0ms	v
3.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.3b	1	`v`
0.3b	1	`(*.f64 v v)`

Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-292.8%)

Threshold costs -1.0b (-292.8%)

Counts

3 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)

Outputs
(sqrt.f64 1/8)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.3b	1	`v`

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-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	21	61
1	35	61
2	42	61
3	46	61
4	48	61

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
(sqrt.f64 1/8)

Outputs
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8))))
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 1/8))
(sqrt.f64 1/8)

Compiler

Compiled 45 to 33 computations (26.7% saved)

soundness0.0ms (0%)

end86.0ms (2.4%)

Compiler: Compiled 42 to 28 computations (33.3% saved)

Details

analyze5.0ms (0.1%)

sample1.6s (43.9%)

preprocess79.0ms (2.2%)

simplify75.0ms (2.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize29.0ms (0.8%)

series6.0ms (0.2%)

rewrite85.0ms (2.3%)

simplify74.0ms (2%)

eval141.0ms (3.9%)

prune15.0ms (0.4%)

localize19.0ms (0.5%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

rewrite63.0ms (1.7%)

simplify169.0ms (4.6%)

localize18.0ms (0.5%)

series2.0ms (0.1%)

rewrite100.0ms (2.8%)

simplify187.0ms (5.1%)

eval54.0ms (1.5%)

prune28.0ms (0.8%)

localize5.0ms (0.1%)

localize107.0ms (2.9%)

series3.0ms (0.1%)

rewrite107.0ms (2.9%)

simplify102.0ms (2.8%)

eval75.0ms (2.1%)

prune60.0ms (1.6%)

localize2.0ms (0.1%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite53.0ms (1.4%)

simplify114.0ms (3.1%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite48.0ms (1.3%)

simplify7.0ms (0.2%)

eval18.0ms (0.5%)

prune9.0ms (0.3%)

regimes33.0ms (0.9%)

regimes10.0ms (0.3%)

regimes10.0ms (0.3%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end86.0ms (2.4%)

Profiling