Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.1s (53.1%)

Results

1.1s	8256×	body	128	valid
1.0ms	8×	body	128	invalid

preprocess43.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 20 to 15 computations (25% saved)

simplify25.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune6.0ms (0.3%)

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

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

Compiler

Compiled 113 to 86 computations (23.9% saved)

localize21.0ms (1%)

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 -1/4 (fma.f64 v v -1))))
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))

series12.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
3.0ms	v	@	0	(.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))
2.0ms	v	@	inf	(.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))
2.0ms	v	@	0	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
1.0ms	v	@	-inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

rewrite61.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	294	36
2	3188	36

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

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

Outputs

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

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

simplify45.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-def_binary64`
569×	`distribute-rgt-out_binary64`
462×	`associate-l_binary64`
437×	`associate-r_binary64`
232×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	801
1	270	761
2	957	654
3	4162	624

Stop Event

1×	node limit

Counts

64 → 67

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 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 -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 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 -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 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/4 (*.f64 v v)) 1/4))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (sqrt.f64 2)))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (.f64 1/4 (sqrt.f64 2)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 v (.f64 v (.f64 (sqrt.f64 2) 5/2)))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (.f64 (+.f64 (.f64 -3/2 (sqrt.f64 2)) (.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4)))))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (.f64 (sqrt.f64 2) -3/8) (pow.f64 v 4)))))
(fma.f64 -1/4 (.f64 v (.f64 v (.f64 (sqrt.f64 2) 5/2))) (fma.f64 1/4 (sqrt.f64 2) (.f64 -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 1/4 (.f64 (.f64 v v) -5/8))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 27/16 (sqrt.f64 2)) (.f64 -9/8 (sqrt.f64 2))))) (.f64 -1/4 (.f64 (+.f64 (.f64 -3/2 (sqrt.f64 2)) (.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4))))))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) 9/16)) (.f64 (.f64 (sqrt.f64 2) -3/8) (pow.f64 v 4))))))
(fma.f64 -1/4 (.f64 v (.f64 v (.f64 (sqrt.f64 2) 5/2))) (fma.f64 1/4 (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 1/4 (.f64 (.f64 v v) -5/8))))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 4) (+.f64 -3/8 (.f64 9/16 (.f64 v v))))) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))
(.f64 -1/4 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(.f64 -1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3)))) (.f64 (.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 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -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))))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3)))) (.f64 -1/4 (+.f64 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))))
(.f64 -1/4 (+.f64 (+.f64 (.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 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 (.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 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (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 (.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 -1/4 (+.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)) (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (.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))))))
(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 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) -1/64) (.f64 1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)))
(fma.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 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) -1/64) (*.f64 1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))
(.f64 1/4 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3)))) (.f64 (.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 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -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))))))
(fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 1/2 (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 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))))
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 1/4 (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (.f64 1/8 (sqrt.f64 2)) (pow.f64 (sqrt.f64 -3) 3))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (.f64 -1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v) (.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 1/2 (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))))
(.f64 1/4 (+.f64 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.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))))
(.f64 1/4 (+.f64 (fma.f64 v (.f64 (sqrt.f64 2) (-.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.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))))

prune81.0ms (4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	67	2	69

Error

Counts

69 → 2

Alt Table

Status	Error	Program
▶	1.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

Status

Error

Program

▶

1.0b

(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))) 1))

✓

0.0b

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

Compiler

Compiled 1779 to 1508 computations (15.2% saved)

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1))
	0.0b	(.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))
✓	1.0b	(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1)

series16.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1))
3.0ms	v	@	inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1)
2.0ms	v	@	0	(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1)
2.0ms	v	@	-inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1))
1.0ms	v	@	-inf	(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1)

rewrite91.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`prod-diff_binary64`
269×	`log1p-udef_binary64`
161×	`add-sqr-sqrt_binary64`
152×	`pow1_binary64`
151×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	361	53
2	3842	53

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1)
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1))
(log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

Inputs

(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))) 1)

(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))) 1))

(log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))

Outputs
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Outputs

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

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

simplify83.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

301×	`fma-def_binary64`
209×	`times-frac_binary64`
200×	`associate-r_binary64`
191×	`associate-+r+_binary64`
191×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	3422
1	933	2637
2	4238	2136

Stop Event

1×	node limit

Counts

130 → 161

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 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (pow.f64 v 4) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))) (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (pow.f64 v 6) (+.f64 (.f64 1/128 (/.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3))) (+.f64 (.f64 -1/192 (/.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3))) (.f64 -1/384 (/.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3))))))) (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (pow.f64 v 4) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))) (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (*.f64 1/4 (sqrt.f64 2)) 1) 2)))))))))
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (.f64 -4 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) 1)) (.f64 (sqrt.f64 2) (pow.f64 v 2))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (+.f64 (.f64 -4 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) 1)) (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -8 (/.f64 (pow.f64 (+.f64 (*.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 v 4)))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (+.f64 (.f64 -4 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) 1)) (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (+.f64 (.f64 -64/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 32 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3) (pow.f64 (sqrt.f64 2) 3))) (.f64 -32/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3) (pow.f64 (sqrt.f64 2) 3)))))) (pow.f64 v 6)) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 v 4))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) (.f64 -4 (/.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (.f64 (sqrt.f64 2) (pow.f64 v 2))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2)))) (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 4)) (.f64 -4 (/.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -64/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 32 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3) (pow.f64 (sqrt.f64 2) 3))) (.f64 -32/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3) (pow.f64 (sqrt.f64 2) 3))))) (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 6)) (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2)))) (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 v 4)) (.f64 -4 (/.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (.f64 (sqrt.f64 2) (pow.f64 v 2))))))) 1)
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/8 (sqrt.f64 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))) (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))))) (+.f64 (.f64 3/8 (sqrt.f64 2)) (.f64 -9/32 (sqrt.f64 2))))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 -3/8 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))) (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))))) (+.f64 (.f64 3/8 (sqrt.f64 2)) (.f64 -9/32 (sqrt.f64 2))))) (+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/8 (sqrt.f64 2)))) (.f64 (+.f64 (.f64 -27/64 (sqrt.f64 2)) (+.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (+.f64 (.f64 1/128 (/.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3))) (+.f64 (.f64 -1/192 (/.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3))) (.f64 -1/384 (/.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3)))))) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (+.f64 (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))) (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2)))))) (*.f64 9/32 (sqrt.f64 2))))) (pow.f64 v 6)))))
(.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) 1) (.f64 v (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) 1) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -4 (/.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) v))) (.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) 1) (*.f64 v (sqrt.f64 -3)))))
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(.f64 -1 (.f64 v (.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (*.f64 -2 (log.f64 (/.f64 -1 v))))) 1) (sqrt.f64 -3))))
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(+.f64 (.f64 -1 (.f64 v (.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) 1) (sqrt.f64 -3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) 1) (sqrt.f64 -3))) (.f64 -4 (/.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) (sqrt.f64 -3))) (sqrt.f64 2)))) v)) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) 1) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 (+.f64 (.f64 8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2))) (.f64 -8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (pow.f64 (sqrt.f64 2) 2)))) (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))) (sqrt.f64 -3))) (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (pow.f64 v 3)))))
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(log.f64 (+.f64 (*.f64 1/4 (sqrt.f64 2)) 1))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 v 2)) (+.f64 (.f64 1/4 (sqrt.f64 2)) 1))) (log.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 v 2)) (+.f64 (.f64 1/4 (sqrt.f64 2)) 1))) (+.f64 (.f64 -1/32 (/.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 v 4)) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))) (log.f64 (+.f64 (*.f64 1/4 (sqrt.f64 2)) 1))))
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(+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))
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(+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (*.f64 -2 (log.f64 (/.f64 -1 v)))))
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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 (sqrt.f64 2) -1/4) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -1/4)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (pow.f64 v 4) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))) (.f64 1/32 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2))))))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (.f64 (.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (pow.f64 v 4)) (*.f64 (/.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2)) 0))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (pow.f64 v 4)) 0 (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))))
(+.f64 0 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -1/4))))
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(+.f64 (fma.f64 (pow.f64 v 6) 0 0) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -1/4))))
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 v))))) 1)
(expm1.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (.f64 -2 (neg.f64 (log.f64 v)))))
(fma.f64 (*.f64 (sqrt.f64 2) -1/4) (pow.f64 (/.f64 1 v) -2) -1)
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(+.f64 (exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (.f64 -2 (neg.f64 (log.f64 v))))) (-.f64 (.f64 -4 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (.f64 -2 (neg.f64 (log.f64 v))))) (/.f64 (.f64 (sqrt.f64 2) (*.f64 v v)) (fma.f64 1/4 (sqrt.f64 2) 1)))) 1))
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(+.f64 (.f64 2 (log.f64 v)) (fma.f64 -4 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 v (.f64 (sqrt.f64 2) v))) (log.f64 (.f64 (sqrt.f64 2) -1/4))))
(+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 -8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 v 4)))))))
(fma.f64 -2 (neg.f64 (log.f64 v)) (+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (fma.f64 -4 (/.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (sqrt.f64 2)) (.f64 v v)) (.f64 -8 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 2)))))))
(+.f64 (fma.f64 -4 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 (sqrt.f64 2) (.f64 v v))) (.f64 -4 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (pow.f64 v 4)))) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 (.f64 (sqrt.f64 2) -1/4))))
(+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (+.f64 (.f64 2 (log.f64 v)) (.f64 -4 (+.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 v (*.f64 (sqrt.f64 2) v))) (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (pow.f64 v 4))))))
(+.f64 (.f64 -64/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 v 6)))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (.f64 -8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 v 4))))))))
(fma.f64 -64/3 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 3) (.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 3))) (fma.f64 -2 (neg.f64 (log.f64 v)) (+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (fma.f64 -4 (/.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (sqrt.f64 2)) (.f64 v v)) (.f64 -8 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (*.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 2))))))))
(+.f64 (+.f64 (fma.f64 -4 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 (sqrt.f64 2) (.f64 v v))) (.f64 -4 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (pow.f64 v 4)))) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 (.f64 (sqrt.f64 2) -1/4)))) (/.f64 (*.f64 -32/3 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 3) (sqrt.f64 2))) (pow.f64 v 6)))
(+.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (.f64 -4 (+.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 v (.f64 (sqrt.f64 2) v))) (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (pow.f64 v 4))))) (fma.f64 -64/3 (/.f64 (pow.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (sqrt.f64 2)) 3) (pow.f64 v 6)) (*.f64 2 (log.f64 v))))
(+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))
(+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (.f64 -2 (log.f64 (/.f64 -1 v))))
(fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 (*.f64 (sqrt.f64 2) -1/4)))
(+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (*.f64 -2 (log.f64 (/.f64 -1 v)))))
(+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (fma.f64 -4 (/.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (sqrt.f64 2)) (.f64 v v)) (*.f64 -2 (log.f64 (/.f64 -1 v)))))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (fma.f64 -4 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 (sqrt.f64 2) (.f64 v v))) (log.f64 (.f64 (sqrt.f64 2) -1/4))))
(+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (.f64 -4 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 v (.f64 (sqrt.f64 2) v))))))
(+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 v 4)))) (.f64 -2 (log.f64 (/.f64 -1 v))))))
(+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (fma.f64 -4 (/.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (sqrt.f64 2)) (.f64 v v)) (fma.f64 -8 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 2))) (.f64 -2 (log.f64 (/.f64 -1 v))))))
(+.f64 (fma.f64 -4 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 (sqrt.f64 2) (.f64 v v))) (.f64 -4 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (pow.f64 v 4)))) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 (.f64 (sqrt.f64 2) -1/4))))
(+.f64 (.f64 -4 (+.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 v (.f64 (sqrt.f64 2) v))) (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (pow.f64 v 4)))) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 (.f64 (sqrt.f64 2) -1/4))))
(+.f64 (.f64 -64/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 v 6)))) (+.f64 (log.f64 (.f64 -1/4 (sqrt.f64 2))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) (.f64 (sqrt.f64 2) (pow.f64 v 2)))) (+.f64 (.f64 -8 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (sqrt.f64 2)) 1) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 v 4)))) (*.f64 -2 (log.f64 (/.f64 -1 v)))))))
(fma.f64 -64/3 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 3) (.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (log.f64 (.f64 (sqrt.f64 2) -1/4)) (fma.f64 -4 (/.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (sqrt.f64 2)) (.f64 v v)) (fma.f64 -8 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -2 (log.f64 (/.f64 -1 v)))))))
(+.f64 (/.f64 (.f64 -32/3 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 3) (sqrt.f64 2))) (pow.f64 v 6)) (+.f64 (fma.f64 -4 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 (sqrt.f64 2) (.f64 v v))) (.f64 -4 (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (pow.f64 v 4)))) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 (*.f64 (sqrt.f64 2) -1/4)))))
(fma.f64 -64/3 (/.f64 (pow.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (sqrt.f64 2)) 3) (pow.f64 v 6)) (+.f64 (.f64 -4 (+.f64 (/.f64 (fma.f64 1/4 (sqrt.f64 2) 1) (.f64 v (.f64 (sqrt.f64 2) v))) (/.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) 1) 2) (pow.f64 v 4)))) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 (.f64 (sqrt.f64 2) -1/4)))))

prune294.0ms (14.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	188	2	190

Error

Counts

190 → 2

Alt Table

Status

Error

Program

✓

1.0b

(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))) 1))

✓

0.0b

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

Compiler

Compiled 7806 to 6856 computations (12.2% saved)

regimes48.0ms (2.4%)

Accuracy

Total -1.0b remaining (-15018.8%)

Threshold costs -1.0b (-15018.8%)

Counts

14 → 1

Compiler

Compiled 267 to 208 computations (22.1% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	21	26

Stop Event

1×

saturated

Calls

Call 1

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

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

end94.0ms (4.7%)

Stop Event

1×

done

Compiler

Compiled 76 to 60 computations (21.1% saved)

Details

analyze6.0ms (0.3%)

sample1.1s (53.1%)

preprocess43.0ms (2.1%)

simplify25.0ms (1.2%)

prune6.0ms (0.3%)

localize21.0ms (1%)

series12.0ms (0.6%)

rewrite61.0ms (3%)

simplify45.0ms (2.2%)

prune81.0ms (4%)

localize16.0ms (0.8%)

series16.0ms (0.8%)

rewrite91.0ms (4.5%)

simplify83.0ms (4.1%)

prune294.0ms (14.6%)

regimes48.0ms (2.4%)

simplify4.0ms (0.2%)

end94.0ms (4.7%)

Profiling