Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.8s (37.7%)

Results

1.8s	8256×	body	256	valid
1.0ms	10×	body	256	invalid

Bogosity

preprocess84.0ms (1.7%)

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)

simplify72.0ms (1.5%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))
▶	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 38 to 29 computations (23.7% saved)

localize27.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 61 to 45 computations (26.2% saved)

series9.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	-inf	(.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))
1.0ms	v	@	0	(.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))
1.0ms	v	@	inf	(.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))
1.0ms	v	@	-inf	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
1.0ms	v	@	inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))

rewrite86.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
414×	`pow-prod-down_binary64`
337×	`pow2_binary64`
239×	`pow-unpow_binary64`
238×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	294	46
2	3194	46

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (.f64 -1/4 (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (.f64 -1/4 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (.f64 -1/4 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (.f64 -1/4 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (.f64 -1/4 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/6) (cbrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/4) (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (.f64 v -3) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (.f64 v (.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 (.f64 v (.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 v (.f64 v -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 v (.f64 v -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log1p.f64 (.f64 v (.f64 v -3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log1p.f64 (.f64 v (.f64 v -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (.f64 v (.f64 v -3))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (.f64 v (.f64 v -3))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 v (.f64 v -3)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))) 1) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) (*.f64 -1/4 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 1) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 v v -1)) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 v v -1) -1/4) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 1) 1))))))

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
599×	`distribute-rgt-out_binary64`
540×	`associate-l_binary64`
513×	`associate-r_binary64`
345×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1075
1	380	1023
2	1321	898
3	5490	862

Stop Event

1×	node limit

Counts

111 → 124

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

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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 v (.f64 -1/4 (*.f64 (sqrt.f64 2) v)))
(+.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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 v (.f64 -1/4 (*.f64 (sqrt.f64 2) v)))
(+.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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.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 (.f64 v v) (*.f64 (sqrt.f64 2) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
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 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 (.f64 v v) -3/2 (.f64 -9/8 (pow.f64 v 4))))
(fma.f64 v (*.f64 v -3/2) (fma.f64 -9/8 (pow.f64 v 4) 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 -9/8 (pow.f64 v 4)))))
(+.f64 (fma.f64 (.f64 v v) -3/2 1) (fma.f64 -27/16 (pow.f64 v 6) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 v (.f64 v -3/2) (fma.f64 -9/8 (pow.f64 v 4) (.f64 -27/16 (pow.f64 v 6)))))
(+.f64 (fma.f64 v (.f64 v -3/2) 1) (fma.f64 -9/8 (pow.f64 v 4) (.f64 -27/16 (pow.f64 v 6))))
(*.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)))
(-.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 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3))))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (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 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(neg.f64 (*.f64 v (sqrt.f64 -3)))
(*.f64 v (neg.f64 (sqrt.f64 -3)))
(*.f64 (sqrt.f64 -3) (neg.f64 v))
(-.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))))
(fma.f64 (neg.f64 v) (sqrt.f64 -3) (/.f64 -1/2 (*.f64 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 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (fma.f64 (neg.f64 v) (sqrt.f64 -3) (/.f64 -1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (/.f64 -1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 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 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (fma.f64 (neg.f64 v) (sqrt.f64 -3) (/.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 -1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))) (/.f64 -1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))
(+.f64 (-.f64 (/.f64 -1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))) (/.f64 -1/16 (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (sqrt.f64 2)))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (.f64 1/4 (sqrt.f64 2)))
(fma.f64 -1/4 (.f64 v (.f64 v (.f64 (sqrt.f64 2) 5/2))) (.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (.f64 (+.f64 (.f64 -3/2 (sqrt.f64 2)) (.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4)))))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) -3/8)) (pow.f64 v 4))))
(fma.f64 -1/4 (.f64 v (.f64 v (.f64 (sqrt.f64 2) 5/2))) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 2) -3/8) (.f64 (pow.f64 v 4) -1/4))))
(fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -5/8))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 27/16 (sqrt.f64 2)) (.f64 -9/8 (sqrt.f64 2))))) (.f64 -1/4 (.f64 (+.f64 (.f64 -3/2 (sqrt.f64 2)) (.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4))))))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) 9/16)) (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) -3/8))))))
(fma.f64 -1/4 (.f64 v (.f64 v (.f64 (sqrt.f64 2) 5/2))) (fma.f64 -1/4 (fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) 9/16) (.f64 (sqrt.f64 2) (.f64 -3/8 (pow.f64 v 4)))) (*.f64 1/4 (sqrt.f64 2))))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 4) -3/8) (.f64 (pow.f64 v 6) 9/16))) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -5/8))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))
(.f64 (.f64 (*.f64 (sqrt.f64 2) -1/4) (pow.f64 v 3)) (sqrt.f64 -3))
(.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(.f64 -1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))
(.f64 -1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(.f64 -1/4 (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(.f64 -1/4 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (+.f64 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))))
(.f64 -1/4 (+.f64 (.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(.f64 -1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))))
(fma.f64 -1/4 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/96) v))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 -1/4 (+.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)) (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))))))
(fma.f64 -1/4 (.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/4 (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(.f64 -1/4 (+.f64 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.f64 (fma.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 (sqrt.f64 2) 1/16) (pow.f64 (sqrt.f64 -3) 5))) (pow.f64 v 3))))
(.f64 -1/4 (+.f64 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 -1/24 (sqrt.f64 -3)))) (pow.f64 v 3))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) 1/4))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 1/4 (sqrt.f64 -3)))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))
(.f64 1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(.f64 1/4 (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(.f64 1/4 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))))
(.f64 1/4 (+.f64 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))
(.f64 1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))))
(.f64 1/4 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))))
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 1/4 (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))))
(fma.f64 1/4 (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (.f64 1/4 (+.f64 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(.f64 1/4 (+.f64 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.f64 (fma.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 (sqrt.f64 2) 1/16) (pow.f64 (sqrt.f64 -3) 5))) (pow.f64 v 3))))
(.f64 1/4 (+.f64 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 -1/24 (sqrt.f64 -3)))) (pow.f64 v 3))))

localize57.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.1b	(.f64 3 (.f64 v v))

Compiler

Compiled 72 to 48 computations (33.3% saved)

series37.0ms (0.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	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 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	0	(.f64 3 (.f64 v v))

rewrite142.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary64`
701×	`prod-diff_binary64`
288×	`fma-def_binary64`
255×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	331	58
2	4109	52

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-l_binary64`
568×	`associate-r_binary64`
355×	`associate-/r*_binary64`
302×	`associate-+l+_binary64`
243×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1365
1	507	1329
2	1756	1237
3	6375	1236

Stop Event

1×	node limit

Counts

188 → 209

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)))))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -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 (sqrt.f64 2) (.f64 (*.f64 v v) -3/8)))
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(fma.f64 -1/4 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 (/.f64 -1/4 v) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 -1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 (/.f64 -1/4 v) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -3)))) (.f64 -1/4 (+.f64 (+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 (/.f64 1/24 (sqrt.f64 -3)) (sqrt.f64 2))) (pow.f64 v 3))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v))))
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)
(+.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)))
(+.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 (fma.f64 (.f64 v v) -3/2 1) (fma.f64 (pow.f64 v 4) -9/8 (.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 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 1/2 (.f64 v (sqrt.f64 -3)))) (/.f64 -1/8 (.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (.f64 v (sqrt.f64 -3)))) (/.f64 1/24 (.f64 (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 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (+.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 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 (/.f64 1/8 (pow.f64 v 3)) (.f64 (sqrt.f64 -3) -3))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (.f64 v (sqrt.f64 -3)))) (-.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 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (.f64 v (sqrt.f64 -3)))) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (/.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 (.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 1/2 (*.f64 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 (/.f64 1/8 (pow.f64 v 3)) (.f64 (sqrt.f64 -3) -3)) (neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (.f64 v (sqrt.f64 -3))))))
(-.f64 (/.f64 -1/24 (.f64 (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 (/.f64 1/8 (pow.f64 v 3)) (.f64 (sqrt.f64 -3) -3)) (.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 (/.f64 1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5))))
(+.f64 (-.f64 (/.f64 -1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.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 -1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))))

eval197.0ms (4.1%)

Compiler: Compiled 8436 to 6539 computations (22.5% saved)

prune52.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	329	4	333
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	331	4	335

Error

Counts

335 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
▶	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
▶	0.1b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
▶	0.1b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 62 to 45 computations (27.4% saved)

localize23.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
✓	0.0b	(pow.f64 (-.f64 1 (*.f64 v v)) 2)

Compiler

Compiled 68 to 41 computations (39.7% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(pow.f64 (-.f64 1 (*.f64 v v)) 2)
0.0ms	v	@	inf	(pow.f64 (-.f64 1 (*.f64 v v)) 2)
0.0ms	v	@	inf	(.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	0	(.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	-inf	(.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))

rewrite75.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
383×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`
289×	`pow2_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	254	33
2	2884	33

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(pow.f64 (-.f64 1 (*.f64 v v)) 2)
(.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 v v)) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 v v)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 4) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (pow.f64 (-.f64 1 (*.f64 v v)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3/2) (sqrt.f64 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 5) (cbrt.f64 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (pow.f64 v 4)) 2) (pow.f64 (fma.f64 v v 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (pow.f64 v 6)) 2) (pow.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) 2))))) (#(struct:change 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(-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 v (neg.f64 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log1p.f64 (*.f64 v (neg.f64 v)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (*.f64 v v)) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 v v)) 1 (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 v v)) 1 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2) (cbrt.f64 (-.f64 1 (*.f64 v v))) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2) (cbrt.f64 (-.f64 1 (*.f64 v v))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 1 (*.f64 v v))) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 1 (*.f64 v v))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 v 6)) (/.f64 1 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 v 6)) (/.f64 1 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 v 4)) (/.f64 1 (fma.f64 v v 1)) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 v 4)) (/.f64 1 (fma.f64 v v 1)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))))

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

simplify152.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1810×	`fma-def_binary64`
726×	`sqr-pow_binary64`
405×	`*-commutative_binary64`
340×	`distribute-lft-out_binary64`
328×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	323
1	73	303
2	151	285
3	402	285
4	1351	285
5	3259	285
6	3852	285
7	4082	285
8	4276	285
9	4527	285
10	4842	285
11	6230	285
12	6669	285
13	7167	285
14	7768	285

Stop Event

1×	node limit

Counts

98 → 96

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2 (pow.f64 v 2)))
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
1/8
(+.f64 (*.f64 -5/8 (pow.f64 v 2)) 1/8)
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))

Outputs
1
(+.f64 1 (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (.f64 -2 (.f64 v v)))
(fma.f64 -2 (*.f64 v v) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 (.f64 -2 (.f64 v v)) (pow.f64 v 4))
(fma.f64 -2 (*.f64 v v) (pow.f64 v 4))
(.f64 (.f64 v v) (fma.f64 v v -2))
(*.f64 v (fma.f64 -2 v (pow.f64 v 3)))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 (.f64 -2 (.f64 v v)) (pow.f64 v 4))
(fma.f64 -2 (*.f64 v v) (pow.f64 v 4))
(.f64 (.f64 v v) (fma.f64 v v -2))
(*.f64 v (fma.f64 -2 v (pow.f64 v 3)))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
1/8
(+.f64 (*.f64 -5/8 (pow.f64 v 2)) 1/8)
(fma.f64 -5/8 (*.f64 v v) 1/8)
(fma.f64 (*.f64 v v) -5/8 1/8)
(fma.f64 v (*.f64 v -5/8) 1/8)
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (.f64 (pow.f64 v 4) 7/8))
(fma.f64 (*.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 1/8))
(fma.f64 (pow.f64 v 4) 7/8 (fma.f64 (*.f64 v v) -5/8 1/8))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) 1/8)
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 1/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) 1/8))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 v -5/8)) (fma.f64 (pow.f64 v 4) 7/8 1/8))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 -3/8 (pow.f64 v 6) (*.f64 (pow.f64 v 4) 7/8))
(.f64 (pow.f64 v 4) (fma.f64 (.f64 v v) -3/8 7/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 (.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (.f64 v -5/8) (fma.f64 -3/8 (pow.f64 v 6) (.f64 (pow.f64 v 4) 7/8)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (.f64 v (fma.f64 -3/8 (pow.f64 v 5) (.f64 v -5/8))))
(fma.f64 (pow.f64 v 4) 7/8 (.f64 v (fma.f64 v -5/8 (.f64 -3/8 (pow.f64 v 5)))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) 1/8))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 v -5/8)) (fma.f64 (pow.f64 v 4) 7/8 1/8))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 -3/8 (pow.f64 v 6) (*.f64 (pow.f64 v 4) 7/8))
(.f64 (pow.f64 v 4) (fma.f64 (.f64 v v) -3/8 7/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 (.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (.f64 v -5/8) (fma.f64 -3/8 (pow.f64 v 6) (.f64 (pow.f64 v 4) 7/8)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (.f64 v (fma.f64 -3/8 (pow.f64 v 5) (.f64 v -5/8))))
(fma.f64 (pow.f64 v 4) 7/8 (.f64 v (fma.f64 v -5/8 (.f64 -3/8 (pow.f64 v 5)))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) 1/8))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 v -5/8)) (fma.f64 (pow.f64 v 4) 7/8 1/8))

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
✓	0.1b	(.f64 (.f64 v v) -5/8)

Compiler

Compiled 32 to 20 computations (37.5% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
1.0ms	v	@	0	(.f64 (.f64 v v) -5/8)
1.0ms	v	@	inf	(.f64 (.f64 v v) -5/8)
0.0ms	v	@	0	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
0.0ms	v	@	-inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))

rewrite74.0ms (1.5%)

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) -5/8)
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -5/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -5/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 4) 25/64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -5/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 6) -125/512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 v (*.f64 v -5/8)))) 2)) (cbrt.f64 (log.f64 (*.f64 v (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 v (*.f64 v -5/8))))) (sqrt.f64 (log.f64 (*.f64 v (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 25/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -5/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 v 6) -125/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -5/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (sqrt.f64 -5/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 v 6) -125/512)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -5/8))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -5/8))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 v) 1) (log.f64 (*.f64 v -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 v -5/8)) (*.f64 (log.f64 v) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (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 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1) (*.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (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 -5/8) 1/4)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -5/8) 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 -5/8) 1/4)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 3) (*.f64 (pow.f64 2 3/2) (*.f64 (pow.f64 v 6) -125/512))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (-.f64 (pow.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 2) (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (pow.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 2)) (-.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 v 6) -125/512 1/64) (sqrt.f64 2)) (fma.f64 (*.f64 v (*.f64 v -5/8)) (fma.f64 v (*.f64 v -5/8) -1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (*.f64 (pow.f64 v 4) 25/64)) (sqrt.f64 2)) (-.f64 1/4 (*.f64 v (*.f64 v -5/8))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 v (*.f64 v -5/8) 1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 1) 1/2) (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 1) 1/2) (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1) (log.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (*.f64 (log1p.f64 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1) (*.f64 (log1p.f64 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 v (*.f64 v -5/8) 1/4)) 1) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 (*.f64 v -5/8) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (*.f64 v -5/8)) (sqrt.f64 2) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/8)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) 1/4 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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1/4) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (*.f64 v (*.f64 v -5/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) 1/4) 1 (*.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) 1/4)) 2) (cbrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (sqrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (sqrt.f64 -5/8)) (pow.f64 2 1/4)) (*.f64 (*.f64 v (sqrt.f64 -5/8)) (pow.f64 2 1/4)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (*.f64 v -5/8)) (cbrt.f64 2)) (pow.f64 2 1/6) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (*.f64 v -5/8)) (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (cbrt.f64 2)) (pow.f64 2 1/6) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) v) (*.f64 v -5/8) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -5/8 (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) -5/8) (*.f64 v v) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (pow.f64 v 4) 25/64))) (cbrt.f64 (*.f64 v (*.f64 v -5/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -5/8))) (*.f64 v (sqrt.f64 -5/8)) (*.f64 (sqrt.f64 2) 1/4))))))

simplify193.0ms (4%)

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 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 -5/8 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))

Outputs
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 -5/8 (pow.f64 v 2))
(.f64 -5/8 (.f64 v v))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2)))
(.f64 -5/8 (.f64 v (*.f64 v (sqrt.f64 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2)))
(.f64 -5/8 (.f64 v (*.f64 v (sqrt.f64 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -5/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 -5/8 (.f64 (.f64 v v) (sqrt.f64 2)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -5/8 (*.f64 v v))))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 51 to 30 computations (41.2% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log-prod_binary64`
392×	`prod-exp_binary64`
353×	`exp-prod_binary64`
295×	`pow-prod-down_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	230	22
2	2693	22

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-def_binary64`
565×	`fma-neg_binary64`
496×	`distribute-rgt-out_binary64`
408×	`cancel-sign-sub-inv_binary64`
326×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	546
1	283	528
2	1082	470
3	5085	434

Stop Event

1×	node limit

Counts

66 → 77

Calls

Call 1

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

Outputs
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (sqrt.f64 1/8))
(fma.f64 v (.f64 v (.f64 (sqrt.f64 1/8) -5/2)) (sqrt.f64 1/8))
(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)))
(+.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (.f64 v v) -5/2) (.f64 (pow.f64 v 4) 3/8))))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/8) 3/8) (fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/8) -9/16) (sqrt.f64 1/8))))
(+.f64 (sqrt.f64 1/8) (fma.f64 (sqrt.f64 1/8) (.f64 (.f64 v v) -5/2) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (pow.f64 v 6) -9/16) (*.f64 (pow.f64 v 4) 3/8)))))
(+.f64 (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (.f64 v v) -5/2) (*.f64 (pow.f64 v 6) -9/16))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(neg.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (pow.f64 v 3)))
(.f64 (neg.f64 (sqrt.f64 1/8)) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(.f64 (.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (neg.f64 (sqrt.f64 -3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(fma.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3)))))
(-.f64 (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (/.f64 (sqrt.f64 -3) v)) (.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)))
(+.f64 (.f64 v (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 1/8))) (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))
(fma.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))) v (/.f64 (.f64 1/2 (sqrt.f64 1/8)) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))))) (fma.f64 (neg.f64 (pow.f64 v 3)) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v)))
(fma.f64 (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (.f64 v -1/2) (/.f64 1/2 v)))))
(+.f64 (+.f64 (.f64 v (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 1/8))) (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3)))) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) 11/24))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))))
(fma.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))) v (/.f64 (.f64 1/2 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))))) (/.f64 (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v))) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(+.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) -3)) (+.f64 (/.f64 1/8 v) (/.f64 -1/8 (pow.f64 v 3))))) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (*.f64 v -1/2) (/.f64 1/2 v)))))
(-.f64 (+.f64 (fma.f64 v (.f64 (sqrt.f64 1/8) (+.f64 (sqrt.f64 -3) (/.f64 -1/2 (sqrt.f64 -3)))) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) 11/24)) (.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (+.f64 (/.f64 1/24 (sqrt.f64 -3)) (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5))))) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))
(.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))))))
(-.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (.f64 v (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)) v) (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3)))))))
(-.f64 (-.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v))
(+.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (.f64 v (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)) v) (fma.f64 -1 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)) (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))))))))
(-.f64 (-.f64 (-.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (.f64 1/24 (sqrt.f64 1/8)) (sqrt.f64 -3))) (pow.f64 v 3))))
(+.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (.f64 v (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2))) (-.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v) (/.f64 (.f64 (sqrt.f64 1/8) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))) (pow.f64 v 3))))

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))
✓	0.1b	(.f64 (.f64 v v) -3/8)

Compiler

Compiled 54 to 33 computations (38.9% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))
0.0ms	v	@	inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	0	(.f64 (.f64 v v) -3/8)
0.0ms	v	@	0	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	inf	(.f64 (.f64 v v) -3/8)

rewrite90.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`log-prod_binary64`
510×	`prod-diff_binary64`
341×	`pow2_binary64`
311×	`fma-def_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	288	42
2	3669	42

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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 (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 -27/512 (pow.f64 v 6)) 1/3)))) (#(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 -27/512 (pow.f64 v 6)))))) (#(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 (fma.f64 2 (log.f64 v) (log.f64 -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 -3/8)) 1))))))

((#(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 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1) (*.f64 (*.f64 v (*.f64 (*.f64 v -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 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 3) (pow.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 3)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (-.f64 (pow.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 2) (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (pow.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 2)) (-.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -27/512 (pow.f64 v 6) 1/64) (sqrt.f64 2)) (fma.f64 (*.f64 v (*.f64 v -3/8)) (fma.f64 v (*.f64 v -3/8) -1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (*.f64 (pow.f64 v 4) 9/64)) (sqrt.f64 2)) (+.f64 1/4 (*.f64 3/8 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 -27/512 (pow.f64 v 6) 1/64)) (fma.f64 (*.f64 v (*.f64 v -3/8)) (fma.f64 v (*.f64 v -3/8) -1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 1/16 (*.f64 (pow.f64 v 4) 9/64))) (+.f64 1/4 (*.f64 3/8 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 v (*.f64 v -3/8) 1/4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -3/8) 1/4) 3) (*.f64 2 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v (*.f64 v -3/8) 1/4))) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) 1/4) (fma.f64 v (neg.f64 v) 1) (*.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) (fma.f64 v (neg.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) 2)) (cbrt.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) 2)) (cbrt.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (*.f64 v -3/8) 1/4))) (sqrt.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (*.f64 v -3/8) 1/4))) (sqrt.f64 (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 v (*.f64 v -3/8) 1/4) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 v (*.f64 v -3/8) 1/4) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 v (*.f64 v -3/8) 1/4) (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 (*.f64 v (neg.f64 v)) (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 v (*.f64 v -3/8) 1/4) (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) (*.f64 v (neg.f64 v))))))))

simplify154.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

770×	`unswap-sqr_binary64`
748×	`sqr-pow_binary64`
702×	`fma-def_binary64`
602×	`cube-prod_binary64`
391×	`pow-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	552
1	57	552
2	127	498
3	330	444
4	1146	432
5	2066	432
6	2696	432
7	2805	432
8	2913	432
9	3045	432
10	3238	432
11	3481	432
12	4915	432
13	5420	432
14	6094	432
15	6843	432
16	7778	432

Stop Event

1×	node limit

Counts

173 → 153

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))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)))
(+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)))
(+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (*.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 v (.f64 -3/8 v) 1/4))
(.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 v (.f64 -3/8 v) 1/4))
(.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 v (.f64 -3/8 v) 1/4))
(.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 v (.f64 -3/8 v) 1/4))
(.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 v (.f64 -3/8 v) 1/4))
(.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 v (.f64 -3/8 v) 1/4))
(.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 v (.f64 -3/8 v) 1/4))
(.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 v (.f64 -3/8 v) 1/4))
(.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 v (.f64 -3/8 v) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v v) 1/4))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 (*.f64 v v) (sqrt.f64 2)) -5/8))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 (.f64 v v) -5/8 1/4))
(+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8)))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (.f64 (sqrt.f64 2) (+.f64 (.f64 3/8 (pow.f64 v 4)) 1/4)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8)))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (.f64 (sqrt.f64 2) (+.f64 (.f64 3/8 (pow.f64 v 4)) 1/4)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8))
(.f64 (sqrt.f64 2) (.f64 3/8 (pow.f64 v 4)))
(+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8))
(fma.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 v v) -5/8) (.f64 3/8 (pow.f64 v 4))))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) (*.f64 3/8 (pow.f64 v 4))))
(.f64 (.f64 v (.f64 v (sqrt.f64 2))) (fma.f64 v (.f64 v 3/8) -5/8))
(.f64 (sqrt.f64 2) (.f64 v (fma.f64 v -5/8 (*.f64 3/8 (pow.f64 v 3)))))
(.f64 (sqrt.f64 2) (fma.f64 3/8 (pow.f64 v 4) (.f64 v (*.f64 v -5/8))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8)))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (.f64 (sqrt.f64 2) (+.f64 (.f64 3/8 (pow.f64 v 4)) 1/4)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8)))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (.f64 (sqrt.f64 2) (+.f64 (.f64 3/8 (pow.f64 v 4)) 1/4)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8))
(.f64 (sqrt.f64 2) (.f64 3/8 (pow.f64 v 4)))
(+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8))
(fma.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 v v) -5/8) (.f64 3/8 (pow.f64 v 4))))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) (*.f64 3/8 (pow.f64 v 4))))
(.f64 (.f64 v (.f64 v (sqrt.f64 2))) (fma.f64 v (.f64 v 3/8) -5/8))
(.f64 (sqrt.f64 2) (.f64 v (fma.f64 v -5/8 (*.f64 3/8 (pow.f64 v 3)))))
(.f64 (sqrt.f64 2) (fma.f64 3/8 (pow.f64 v 4) (.f64 v (*.f64 v -5/8))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8)))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (.f64 (sqrt.f64 2) (+.f64 (.f64 3/8 (pow.f64 v 4)) 1/4)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 3/8 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8)))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 (.f64 v v) (sqrt.f64 2)) -5/8 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) 3/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (.f64 (sqrt.f64 2) (+.f64 (.f64 3/8 (pow.f64 v 4)) 1/4)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 v (*.f64 v -5/8)) (fma.f64 3/8 (pow.f64 v 4) 1/4)))
(.f64 (sqrt.f64 2) (fma.f64 v (.f64 v -5/8) (fma.f64 3/8 (pow.f64 v 4) 1/4)))

eval639.0ms (13.2%)

Compiler: Compiled 9195 to 6816 computations (25.9% saved)

prune61.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	430	2	432
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	431	5	436

Error

Counts

436 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))
▶	0.5b	(sqrt.f64 1/8)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.1b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
✓	0.1b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 55 to 41 computations (25.5% saved)

localize2.0ms (0%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))

Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))
1.0ms	v	@	inf	(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))
1.0ms	v	@	-inf	(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`pow1_binary64`
559×	`add-log-exp_binary64`
559×	`log1p-expm1-u_binary64`
559×	`expm1-log1p-u_binary64`
547×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	142	10
2	1543	10

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)) (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))) (cbrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -5/8) 1/8) 1/4) (pow.f64 (fma.f64 v (*.f64 v -5/8) 1/8) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -5/8) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -5/8) 1/8) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -5/8) 1/8) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -5/8) 1/8) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))))))))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-/l*_binary64`
743×	`associate-l_binary64`
526×	`fma-def_binary64`
457×	`fma-neg_binary64`
343×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	311
1	174	303
2	523	283
3	1957	281
4	7468	281

Stop Event

1×	node limit

Counts

32 → 42

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(+.f64 (*.f64 -5/16 (/.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -25/512 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 -5/16 (/.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (.f64 -25/512 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 -125/8192 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/8) 5))) (+.f64 (*.f64 -5/16 (/.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))))
(*.f64 v (sqrt.f64 -5/8))
(+.f64 (.f64 v (sqrt.f64 -5/8)) (.f64 1/16 (/.f64 1 (*.f64 v (sqrt.f64 -5/8)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -5/8)) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8))))) (.f64 1/512 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))))
(-.f64 (+.f64 (.f64 1/8192 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5)))) (+.f64 (.f64 v (sqrt.f64 -5/8)) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8)))))) (.f64 1/512 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -5/8)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -5/8))) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8)))))
(-.f64 (+.f64 (.f64 1/512 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))) (.f64 -1 (.f64 v (sqrt.f64 -5/8)))) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8)))))
(-.f64 (+.f64 (.f64 1/512 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))) (.f64 -1 (.f64 v (sqrt.f64 -5/8)))) (+.f64 (.f64 1/8192 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5)))) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8))))))

Outputs
(sqrt.f64 1/8)
(+.f64 (*.f64 -5/16 (/.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -5/16 (/.f64 (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 1/8))
(fma.f64 -5/16 (/.f64 v (/.f64 (sqrt.f64 1/8) v)) (sqrt.f64 1/8))
(fma.f64 -5/16 (*.f64 (/.f64 v (sqrt.f64 1/8)) v) (sqrt.f64 1/8))
(fma.f64 -5/16 (*.f64 v (/.f64 v (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -25/512 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 -5/16 (/.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(fma.f64 -25/512 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/8) 3)) (fma.f64 -5/16 (/.f64 (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 1/8)))
(+.f64 (fma.f64 -5/16 (/.f64 v (/.f64 (sqrt.f64 1/8) v)) (sqrt.f64 1/8)) (*.f64 -25/64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/8))))
(fma.f64 -5/16 (*.f64 (/.f64 v (sqrt.f64 1/8)) v) (fma.f64 -25/64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/8)) (sqrt.f64 1/8)))
(+.f64 (sqrt.f64 1/8) (.f64 (.f64 v (/.f64 v (sqrt.f64 1/8))) (+.f64 -5/16 (/.f64 (*.f64 v v) -64/25))))
(+.f64 (.f64 -25/512 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 -125/8192 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/8) 5))) (+.f64 (*.f64 -5/16 (/.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))))
(fma.f64 -25/512 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/8) 3)) (fma.f64 -125/8192 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/8) 5)) (fma.f64 -5/16 (/.f64 (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 1/8))))
(+.f64 (*.f64 -25/64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (fma.f64 -125/8192 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/8) 5)) (fma.f64 -5/16 (/.f64 v (/.f64 (sqrt.f64 1/8) v)) (sqrt.f64 1/8))))
(fma.f64 -125/8192 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/8) 5)) (fma.f64 -5/16 (*.f64 (/.f64 v (sqrt.f64 1/8)) v) (fma.f64 -25/64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/8)) (sqrt.f64 1/8))))
(+.f64 (sqrt.f64 1/8) (fma.f64 -125/8192 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/8) 5)) (.f64 (.f64 v (/.f64 v (sqrt.f64 1/8))) (+.f64 -5/16 (/.f64 (*.f64 v v) -64/25)))))
(*.f64 v (sqrt.f64 -5/8))
(+.f64 (.f64 v (sqrt.f64 -5/8)) (.f64 1/16 (/.f64 1 (*.f64 v (sqrt.f64 -5/8)))))
(fma.f64 v (sqrt.f64 -5/8) (/.f64 1/16 (*.f64 v (sqrt.f64 -5/8))))
(fma.f64 v (sqrt.f64 -5/8) (/.f64 (/.f64 1/16 v) (sqrt.f64 -5/8)))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -5/8)) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8))))) (.f64 1/512 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))))
(-.f64 (fma.f64 v (sqrt.f64 -5/8) (/.f64 1/16 (.f64 v (sqrt.f64 -5/8)))) (/.f64 1/512 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3))))
(+.f64 (fma.f64 v (sqrt.f64 -5/8) (/.f64 1/16 (.f64 v (sqrt.f64 -5/8)))) (/.f64 -1/512 (.f64 (sqrt.f64 -5/8) (*.f64 -5/8 (pow.f64 v 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -5/8) (/.f64 (/.f64 1/16 v) (sqrt.f64 -5/8))) (/.f64 1/320 (*.f64 (sqrt.f64 -5/8) (pow.f64 v 3))))
(-.f64 (+.f64 (.f64 1/8192 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5)))) (+.f64 (.f64 v (sqrt.f64 -5/8)) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8)))))) (.f64 1/512 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))))
(+.f64 (/.f64 1/8192 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5))) (-.f64 (fma.f64 v (sqrt.f64 -5/8) (/.f64 1/16 (.f64 v (sqrt.f64 -5/8)))) (/.f64 1/512 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -5/8) (/.f64 1/16 (.f64 v (sqrt.f64 -5/8)))) (-.f64 (/.f64 1/8192 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5))) (/.f64 1/512 (.f64 (sqrt.f64 -5/8) (.f64 -5/8 (pow.f64 v 3))))))
(+.f64 (fma.f64 v (sqrt.f64 -5/8) (/.f64 (/.f64 1/16 v) (sqrt.f64 -5/8))) (+.f64 (/.f64 1/8192 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5))) (/.f64 1/320 (.f64 (sqrt.f64 -5/8) (pow.f64 v 3)))))
(+.f64 (-.f64 (fma.f64 v (sqrt.f64 -5/8) (/.f64 (/.f64 1/16 v) (sqrt.f64 -5/8))) (/.f64 (/.f64 -1/8192 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -5/8) 5))) (/.f64 1/320 (*.f64 (sqrt.f64 -5/8) (pow.f64 v 3))))
(.f64 -1 (.f64 v (sqrt.f64 -5/8)))
(neg.f64 (*.f64 v (sqrt.f64 -5/8)))
(*.f64 v (neg.f64 (sqrt.f64 -5/8)))
(*.f64 (sqrt.f64 -5/8) (neg.f64 v))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -5/8))) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8)))))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -5/8))) (/.f64 1/16 (.f64 v (sqrt.f64 -5/8))))
(fma.f64 (neg.f64 v) (sqrt.f64 -5/8) (/.f64 -1/16 (*.f64 v (sqrt.f64 -5/8))))
(-.f64 (/.f64 -1/16 (.f64 v (sqrt.f64 -5/8))) (.f64 v (sqrt.f64 -5/8)))
(-.f64 (/.f64 (/.f64 -1/16 v) (sqrt.f64 -5/8)) (*.f64 v (sqrt.f64 -5/8)))
(-.f64 (+.f64 (.f64 1/512 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))) (.f64 -1 (.f64 v (sqrt.f64 -5/8)))) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8)))))
(+.f64 (/.f64 1/512 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3))) (-.f64 (neg.f64 (.f64 v (sqrt.f64 -5/8))) (/.f64 1/16 (*.f64 v (sqrt.f64 -5/8)))))
(+.f64 (/.f64 1/512 (.f64 (sqrt.f64 -5/8) (.f64 -5/8 (pow.f64 v 3)))) (fma.f64 (neg.f64 v) (sqrt.f64 -5/8) (/.f64 -1/16 (*.f64 v (sqrt.f64 -5/8)))))
(-.f64 (/.f64 (/.f64 -1/320 (sqrt.f64 -5/8)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -5/8) (/.f64 (/.f64 1/16 v) (sqrt.f64 -5/8))))
(-.f64 (+.f64 (.f64 1/512 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3)))) (.f64 -1 (.f64 v (sqrt.f64 -5/8)))) (+.f64 (.f64 1/8192 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5)))) (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -5/8))))))
(+.f64 (/.f64 1/512 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -5/8) 3))) (-.f64 (neg.f64 (.f64 v (sqrt.f64 -5/8))) (+.f64 (/.f64 1/16 (.f64 v (sqrt.f64 -5/8))) (/.f64 1/8192 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5))))))
(-.f64 (+.f64 (/.f64 1/512 (.f64 (sqrt.f64 -5/8) (.f64 -5/8 (pow.f64 v 3)))) (fma.f64 (neg.f64 v) (sqrt.f64 -5/8) (/.f64 -1/16 (.f64 v (sqrt.f64 -5/8))))) (/.f64 1/8192 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/320 (sqrt.f64 -5/8)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -5/8) (/.f64 (/.f64 1/16 v) (sqrt.f64 -5/8)))) (/.f64 -1/8192 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -5/8) 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/320 (sqrt.f64 -5/8)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -5/8) (/.f64 (/.f64 1/16 v) (sqrt.f64 -5/8)))) (/.f64 (/.f64 -1/8192 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -5/8) 5)))

eval45.0ms (0.9%)

Compiler: Compiled 648 to 541 computations (16.5% saved)

prune14.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	42	5	47

Error

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))
✓	0.5b	(sqrt.f64 1/8)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.1b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
✓	0.1b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes37.0ms (0.8%)

Counts

8 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))
(.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)))
(sqrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))

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

Calls

4 calls:

11.0ms	v
10.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
5.0ms	(*.f64 v v)
5.0ms	(.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
0.0b	1	`v`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 150 to 105 computations (30% saved)

regimes128.0ms (2.7%)

Accuracy

Total -0.4b remaining (-416.4%)

Threshold costs -0.4b (-416.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
(sqrt.f64 (fma.f64 v (*.f64 v -5/8) 1/8))

Outputs
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))

Calls

2 calls:

120.0ms	v
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.1b	1	`v`
0.1b	1	`(*.f64 v v)`

Compiler

Compiled 42 to 29 computations (31% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-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	19	40
1	31	40
2	38	40
3	42	40
4	44	40

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 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(sqrt.f64 1/8)

Outputs
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(sqrt.f64 1/8)

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness0.0ms (0%)

end51.0ms (1.1%)

Compiler: Compiled 28 to 20 computations (28.6% saved)

Details

analyze5.0ms (0.1%)

sample1.8s (37.7%)

preprocess84.0ms (1.7%)

simplify72.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize27.0ms (0.6%)

series9.0ms (0.2%)

rewrite86.0ms (1.8%)

simplify70.0ms (1.5%)

localize57.0ms (1.2%)

series37.0ms (0.8%)

rewrite142.0ms (2.9%)

simplify88.0ms (1.8%)

eval197.0ms (4.1%)

prune52.0ms (1.1%)

localize23.0ms (0.5%)

series4.0ms (0.1%)

rewrite75.0ms (1.6%)

simplify152.0ms (3.1%)

localize12.0ms (0.3%)

series6.0ms (0.1%)

rewrite74.0ms (1.5%)

simplify193.0ms (4%)

localize18.0ms (0.4%)

series7.0ms (0.1%)

rewrite72.0ms (1.5%)

simplify56.0ms (1.2%)

localize20.0ms (0.4%)

series4.0ms (0.1%)

rewrite90.0ms (1.9%)

simplify154.0ms (3.2%)

eval639.0ms (13.2%)

prune61.0ms (1.3%)

localize2.0ms (0%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite58.0ms (1.2%)

simplify61.0ms (1.3%)

eval45.0ms (0.9%)

prune14.0ms (0.3%)

regimes37.0ms (0.8%)

regimes128.0ms (2.7%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end51.0ms (1.1%)

Profiling