Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.0s (58.3%)

Results

995.0ms	8256×	body	128	valid
1.0ms	5×	body	128	invalid

preprocess31.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	710	27
5	1695	25
6	2919	25
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 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (/.f64 -4 (fma.f64 v v -1))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify23.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

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

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

localize12.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

series8.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

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

rewrite52.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
193×	`log-pow_binary64`
137×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	294	46
2	3188	46

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

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

Outputs

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

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

simplify33.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-def_binary64`
537×	`associate-l_binary64`
511×	`associate-r_binary64`
193×	`associate-+l+_binary64`
185×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1075
1	380	1023
2	1324	898

Stop Event

1×	node limit

Counts

104 → 117

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

prune240.0ms (13.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

Compiler

Compiled 2999 to 2504 computations (16.5% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (fma.f64 v v -1) 2)
✓	0.0b	(.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))

series4.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(pow.f64 (fma.f64 v v -1) 2)
1.0ms	v	@	inf	(.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))
1.0ms	v	@	0	(.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))
1.0ms	v	@	-inf	(.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))
0.0ms	v	@	inf	(pow.f64 (fma.f64 v v -1) 2)

rewrite46.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`log-prod_binary64`
219×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`
202×	`pow3_binary64`
175×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	279	29
2	2981	29

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))
(pow.f64 (fma.f64 v v -1) 2)

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

Outputs

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

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

simplify61.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1809×	`fma-def_binary64`
402×	`*-commutative_binary64`
340×	`distribute-lft-out_binary64`
285×	`unswap-sqr_binary64`
274×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	323
1	73	303
2	151	285
3	405	285
4	1292	285
5	3184	285
6	3777	285
7	4007	285
8	4201	285
9	4452	285
10	4767	285

Stop Event

1×	node limit

Counts

71 → 69

Calls

Call 1

Inputs
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)))))
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))))

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

prune139.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	2	71

Error

Counts

71 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

Compiler

Compiled 1479 to 1147 computations (22.4% saved)

regimes26.0ms (1.5%)

Accuracy

Total -0.0b remaining (-300%)

Threshold costs -0.0b (-300%)

Counts

3 → 1

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))

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

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

Outputs
(sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))

Results

20.0ms	0.0b	`v`
2.0ms	0.0b	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
2.0ms	0.0b	`(*.f64 v v)`

Compiler

Compiled 81 to 60 computations (25.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	21	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))

Outputs
(sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))

end30.0ms (1.7%)

Stop Event

1×

done

Compiler

Compiled 38 to 30 computations (21.1% saved)

Details

analyze6.0ms (0.3%)

sample1.0s (58.3%)

preprocess31.0ms (1.8%)

simplify23.0ms (1.3%)

prune3.0ms (0.2%)

localize12.0ms (0.7%)

series8.0ms (0.4%)

rewrite52.0ms (3%)

simplify33.0ms (1.9%)

prune240.0ms (13.8%)

localize10.0ms (0.6%)

series4.0ms (0.2%)

rewrite46.0ms (2.6%)

simplify61.0ms (3.5%)

prune139.0ms (8%)

regimes26.0ms (1.5%)

simplify2.0ms (0.1%)

end30.0ms (1.7%)

Profiling