Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.5s (47.3%)

Results

1.5s	8256×	body	256	valid
1.0ms	12×	body	256	invalid

preprocess84.0ms (2.6%)

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)

simplify71.0ms (2.2%)

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 (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

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 (0.9%)

Local error

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

Compiler

Compiled 61 to 45 computations (26.2% saved)

series11.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))
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	@	0	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))
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)))

rewrite67.0ms (2.1%)

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	38
1	294	36
2	3194	36

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-def_binary64`
569×	`distribute-rgt-out_binary64`
509×	`distribute-lft-out_binary64`
462×	`associate-l_binary64`
435×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	801
1	270	761
2	954	654
3	4195	618

Stop Event

1×	node limit

Counts

66 → 69

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)))))))

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 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 -1/4 (.f64 v (*.f64 (sqrt.f64 2) v)))
(+.f64 (.f64 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 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 -1/4 (.f64 v (*.f64 (sqrt.f64 2) v)))
(+.f64 (.f64 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 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 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 (.f64 v v) (.f64 (sqrt.f64 2) 5/2))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (*.f64 v v) -5/8) 1/4))
(+.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 -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 (.f64 v v) (.f64 (sqrt.f64 2) 5/2)) (fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (.f64 (sqrt.f64 2) -3/8) (pow.f64 v 4)))))
(fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 v v) -5/8) 1/4)))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 (.f64 v v) -5/8) 1/4) (.f64 -3/8 (*.f64 -1/4 (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))))))
(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 (.f64 v v) (.f64 (sqrt.f64 2) 5/2)) (fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (fma.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 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 v 4) -3/8) (.f64 (pow.f64 v 6) 9/16))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 v v) -5/8) 1/4)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 v v) 5/2) (+.f64 (.f64 (pow.f64 v 4) -3/8) (.f64 (pow.f64 v 6) 9/16))))))
(.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 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) -1/4))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 -1/4 (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 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 2) (*.f64 (pow.f64 v 3) (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 -1/4 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (.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 (.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 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) 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 2) (.f64 (pow.f64 v 3) (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))))
(fma.f64 -1/4 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 2) (sqrt.f64 -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 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) 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 (.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 2) (sqrt.f64 -3))) (.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 (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.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))) (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 v -11/24)))))
(.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 1/4 (sqrt.f64 2)) (pow.f64 v 3)) (sqrt.f64 -3))
(.f64 1/4 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 1/4 (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 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 2) (*.f64 (pow.f64 v 3) (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 1/4 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (.f64 (pow.f64 v 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 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 2) (.f64 (pow.f64 v 3) (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 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 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 v -11/24)))))
(+.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 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 2) (.f64 (pow.f64 v 3) (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))))
(fma.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 (.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) 1/64)) (pow.f64 v 3)))
(.f64 1/4 (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.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))) (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 v -11/24)))))

localize25.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	277	22
2	3193	20

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

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

Outputs

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

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

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

691×	`unswap-sqr_binary64`
545×	`associate-/l*_binary64`
482×	`distribute-lft-out_binary64`
346×	`associate-*l/_binary64`
343×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	496
1	183	496
2	570	474
3	2309	438
4	5122	438
5	6849	438
6	7332	438
7	7722	438

Stop Event

1×	node limit

Counts

69 → 70

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)))))))

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

eval68.0ms (2.1%)

Compiler: Compiled 3344 to 2680 computations (19.9% saved)

prune18.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	138	3	141

Error

Counts

141 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (sqrt.f64 2) (+.f64 (.f64 (*.f64 v v) -5/8) 1/4))
▶	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
▶	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))

Status

Error

Program

▶

0.2b

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

▶

0.2b

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

▶

0.0b

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

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`log-prod_binary64`
401×	`prod-diff_binary64`
396×	`prod-exp_binary64`
340×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	221	20
2	2668	20

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 v 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 (*.f64 v v) -5/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 v 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 (*.f64 v 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 (*.f64 v v) -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 v v) -5/8))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 v v) -5/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 v v) -5/8)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 v 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 (*.f64 v 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 (*.f64 v v) -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 v v) -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 v v) -5/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 v v) -5/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 v 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 (*.f64 v v) -5/8)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 v 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 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 1) (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 v (*.f64 v -5/8) 1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 v (*.f64 v -5/8) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 v (*.f64 v -5/8) 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 v (*.f64 v -5/8) 1/4)))))))) (#(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 (*.f64 (pow.f64 2 3/2) (*.f64 (pow.f64 v 6) -125/512)) (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 2) (-.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2) (*.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 (pow.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 2) (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 2)) (-.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 (fma.f64 (pow.f64 v 6) -125/512 1/64) (sqrt.f64 2)) (-.f64 (fma.f64 (pow.f64 v 4) 25/64 1/16) (*.f64 (*.f64 v v) -5/32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 v 4) 25/64 -1/16) (sqrt.f64 2)) (fma.f64 (*.f64 v v) -5/8 -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 6) -125/512 1/64)) (-.f64 (fma.f64 (pow.f64 v 4) 25/64 1/16) (*.f64 (*.f64 v v) -5/32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 4) 25/64 -1/16)) (fma.f64 (*.f64 v v) -5/8 -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (fma.f64 v (*.f64 v -5/8) 1/4) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -5/8) 1/4))))))) (#(struct:change #<rule 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(#(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 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(sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.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 1 (*.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 (cbrt.f64 (*.f64 (pow.f64 v 4) 25/64)) (*.f64 (cbrt.f64 (*.f64 (*.f64 v v) -5/8)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) 1/4) (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (*.f64 (*.f64 v v) -5/8)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 -5/8)) (*.f64 (*.f64 v (sqrt.f64 -5/8)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 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 (*.f64 v v) -5/8)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v v) (*.f64 -5/8 (sqrt.f64 2))) 1 (*.f64 (*.f64 (sqrt.f64 2) 1/4) 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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))))))

simplify176.0ms (5.5%)

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))

localize19.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 51 to 30 computations (41.2% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
1.0ms	v	@	inf	(sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	-inf	(sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`pow1_binary64`
647×	`add-log-exp_binary64`
646×	`log1p-expm1-u_binary64`
646×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	176	13
2	1841	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

691×	`unswap-sqr_binary64`
540×	`associate-/l*_binary64`
369×	`distribute-neg-frac_binary64`
346×	`associate-*l/_binary64`
341×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	385
1	176	382
2	556	358
3	2349	323
4	5714	315

Stop Event

1×	node limit

Counts

34 → 45

Calls

Call 1

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

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

localize19.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 54 to 33 computations (38.9% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

Outputs

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

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

simplify177.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

123 → 106

Calls

Call 1

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

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

eval107.0ms (3.3%)

Compiler: Compiled 4886 to 3738 computations (23.5% saved)

prune34.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	255	2	257
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	255	5	260

Error

Counts

260 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
✓	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 (sqrt.f64 2) (+.f64 (.f64 (*.f64 v v) -5/8) 1/4))
▶	0.9b	(*.f64 1/4 (sqrt.f64 2))
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize5.0ms (0.2%)

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

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify80.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

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

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

eval6.0ms (0.2%)

Compiler: Compiled 264 to 193 computations (26.9% saved)

prune6.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	24	5	29

Error

Counts

29 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
✓	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 (sqrt.f64 2) (+.f64 (.f64 (*.f64 v v) -5/8) 1/4))
▶	0.9b	(sqrt.f64 1/8)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))

Compiler

Compiled 56 to 42 computations (25% saved)

localize2.0ms (0.1%)

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
✓	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 (sqrt.f64 2) (+.f64 (.f64 (*.f64 v v) -5/8) 1/4))
✓	0.9b	(sqrt.f64 1/8)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))

Compiler

Compiled 56 to 42 computations (25% saved)

regimes16.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

5.0ms	v
3.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(*.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 138 to 98 computations (29% saved)

regimes10.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	v
2.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes14.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	v
4.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.9b	1	`v`
0.9b	1	`(*.f64 v v)`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes8.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 1/8)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.9b	1	`v`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

7×	`*-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	20	52
1	33	52
2	40	52
3	44	52
4	46	52

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

Compiler

Compiled 39 to 30 computations (23.1% saved)

soundness0.0ms (0%)

end44.0ms (1.4%)

Compiler: Compiled 36 to 25 computations (30.6% saved)

Details

analyze5.0ms (0.2%)

sample1.5s (47.3%)

preprocess84.0ms (2.6%)

simplify71.0ms (2.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize27.0ms (0.9%)

series11.0ms (0.3%)

rewrite67.0ms (2.1%)

simplify58.0ms (1.8%)

localize25.0ms (0.8%)

series4.0ms (0.1%)

rewrite88.0ms (2.8%)

simplify99.0ms (3.1%)

eval68.0ms (2.1%)

prune18.0ms (0.6%)

localize12.0ms (0.4%)

series3.0ms (0.1%)

rewrite69.0ms (2.1%)

simplify176.0ms (5.5%)

localize19.0ms (0.6%)

series3.0ms (0.1%)

rewrite55.0ms (1.7%)

simplify52.0ms (1.6%)

localize19.0ms (0.6%)

series3.0ms (0.1%)

rewrite70.0ms (2.2%)

simplify177.0ms (5.5%)

eval107.0ms (3.3%)

prune34.0ms (1%)

localize5.0ms (0.2%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite53.0ms (1.7%)

simplify80.0ms (2.5%)

eval6.0ms (0.2%)

prune6.0ms (0.2%)

localize2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes16.0ms (0.5%)

regimes10.0ms (0.3%)

regimes14.0ms (0.4%)

regimes8.0ms (0.2%)

simplify9.0ms (0.3%)

soundness0.0ms (0%)

end44.0ms (1.4%)

Profiling