Details

analyze273.0ms (4.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
21.1%	74.5%	4.4%	10
25.4%	69.8%	4.8%	11
30.6%	64.2%	5.2%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (18.1%)

Results

883.0ms	8256×	body	256	valid
167.0ms	1608×	body	256	invalid

preprocess67.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

738×	`fma-def_binary64`
512×	`times-frac_binary64`
390×	`distribute-frac-neg_binary64`
340×	`distribute-rgt-neg-in_binary64`
276×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	64
1	69	64
2	178	56
3	581	56
4	1729	56
5	5936	44
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (-.f64 (-.f64 y x) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (-.f64 (-.f64 z y) (.f64 x 1/2))) x)
(/.f64 (.f64 4 (-.f64 (-.f64 x z) (.f64 y 1/2))) y)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(/.f64 (-.f64 x (+.f64 y (*.f64 z 1/2))) (/.f64 z 4))
(/.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 z 4))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(/.f64 (.f64 4 (-.f64 (-.f64 y x) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 (-.f64 y x) (*.f64 z 1/2))))
(.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (.f64 z -1/2)))
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 y (fma.f64 z 1/2 x)) z))
(fma.f64 (-.f64 y x) (/.f64 4 z) -2)
(/.f64 (.f64 4 (-.f64 (-.f64 z y) (.f64 x 1/2))) x)
(/.f64 4 (/.f64 x (-.f64 z (+.f64 y (*.f64 x 1/2)))))
(.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (.f64 x -1/2)))
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x))
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x))
(fma.f64 (-.f64 z y) (/.f64 4 x) -2)
(/.f64 (.f64 4 (-.f64 (-.f64 x z) (.f64 y 1/2))) y)
(.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (.f64 y -1/2)))
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y))
(*.f64 4 (/.f64 (fma.f64 y -1/2 (-.f64 x z)) y))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/2 z)) y))
(fma.f64 (-.f64 x z) (/.f64 4 y) -2)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-neg_binary64`
796×	`fma-def_binary64`
768×	`times-frac_binary64`
456×	`cancel-sign-sub-inv_binary64`
435×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	59	14
3	184	14
4	516	14
5	1668	11
6	6056	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(*.f64 4 (/.f64 (-.f64 (fma.f64 z -1/2 x) y) z))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

eval1.0ms (0%)

Compiler: Compiled 22 to 14 computations (36.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
▶	0.2b	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

Compiler

Compiled 25 to 18 computations (28% saved)

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
1.0ms	z	@	0	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
1.0ms	x	@	0	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
1.0ms	x	@	-inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
1.0ms	x	@	inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
434×	`fma-def_binary64`
342×	`pow2_binary64`
250×	`fma-neg_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	255	16
2	3702	14

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

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

Outputs

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

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary64`
598×	`fma-neg_binary64`
520×	`div-sub_binary64`
349×	`times-frac_binary64`
305×	`sub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	606
1	79	550
2	161	545
3	278	545
4	498	356
5	865	353
6	1865	353
7	3003	353
8	5255	353
9	7107	353

Stop Event

1×	node limit

Counts

85 → 66

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(.f64 4 (/.f64 (-.f64 x (.f64 1/2 z)) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)

Outputs
(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(*.f64 -4 (/.f64 (fma.f64 1/2 z y) z))
(*.f64 (fma.f64 1/2 z y) (/.f64 -4 z))
(fma.f64 -4 (/.f64 y z) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(.f64 4 (/.f64 (-.f64 x (.f64 1/2 z)) z))
(.f64 4 (/.f64 (+.f64 x (.f64 -1/2 z)) z))
(fma.f64 4 (/.f64 x z) -2)
(fma.f64 (/.f64 4 z) x -2)
(fma.f64 x (/.f64 4 z) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 (fma.f64 1/2 z y) z) (*.f64 4 (/.f64 x z)))
(fma.f64 (/.f64 -4 z) (fma.f64 1/2 z y) (*.f64 x (/.f64 4 z)))
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 -4 (/.f64 (-.f64 y x) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

Compiler

Compiled 22 to 12 computations (45.5% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
1.0ms	x	@	0	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
1.0ms	z	@	0	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
1.0ms	y	@	0	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
1.0ms	z	@	inf	(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`unpow-prod-down_binary64`
418×	`log-prod_binary64`
368×	`prod-diff_binary64`
257×	`pow2_binary64`
245×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	199	11
2	2550	11

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (/.f64 4 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (-.f64 x y) (/.f64 4 z)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (-.f64 x y) (/.f64 4 z)) 3) -8) (+.f64 (pow.f64 (.f64 (-.f64 x y) (/.f64 4 z)) 2) (-.f64 4 (.f64 (.f64 (-.f64 x y) (/.f64 4 z)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (-.f64 x y) (/.f64 4 z)) 2) 4) (fma.f64 (-.f64 x y) (/.f64 4 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2)) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 3) -8) (+.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) (-.f64 4 (*.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2) 4) (fma.f64 (-.f64 x y) (/.f64 4 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2)) 1) 1))))))

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

854×	`fma-def_binary64`
667×	`fma-neg_binary64`
238×	`cancel-sign-sub-inv_binary64`
136×	`distribute-rgt-in_binary64`
84×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	515
1	43	461
2	81	461
3	124	353
4	230	353
5	440	353
6	911	353
7	1818	353
8	2829	353
9	3186	353
10	3276	353
11	3441	353
12	3441	353

Stop Event

1×

saturated

Counts

73 → 50

Calls

Call 1

Inputs
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(*.f64 -4 (/.f64 y z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)

Outputs
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(fma.f64 -4 (/.f64 y z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 x z))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(fma.f64 4 (/.f64 x z) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z))) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (*.f64 4 (-.f64 x y)) z)
(/.f64 -4 (/.f64 z (-.f64 y x)))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 -4 (/.f64 y z)) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 -4 (/.f64 y z) (fma.f64 4 (/.f64 x z) -2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (/.f64 -4 z) (-.f64 y x) -2)

eval37.0ms (0.6%)

Compiler: Compiled 1593 to 1025 computations (35.7% saved)

prune47.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	110	8	118

Error

Counts

118 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.2b	(*.f64 x (/.f64 4 z))
	18.7b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
	35.4b	-2
	28.2b	(*.f64 4 (/.f64 (-.f64 x y) z))
▶	45.9b	(/.f64 -4 (/.f64 z y))
▶	45.9b	(*.f64 -4 (/.f64 y z))
▶	17.4b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
▶	45.1b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 128 to 98 computations (23.4% saved)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series8.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(*.f64 4 (/.f64 x z))
1.0ms	x	@	0	(*.f64 4 (/.f64 x z))
1.0ms	x	@	inf	(*.f64 4 (/.f64 x z))
1.0ms	z	@	0	(*.f64 4 (/.f64 x z))
1.0ms	z	@	inf	(*.f64 4 (/.f64 x z))

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
605×	`add-log-exp_binary64`
605×	`log1p-expm1-u_binary64`
605×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x z))

Outputs

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

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -4 (/.f64 y z))

Compiler

Compiled 14 to 7 computations (50% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(*.f64 -4 (/.f64 y z))
1.0ms	z	@	0	(*.f64 -4 (/.f64 y z))
1.0ms	y	@	0	(*.f64 -4 (/.f64 y z))
1.0ms	z	@	inf	(*.f64 -4 (/.f64 y z))
1.0ms	y	@	-inf	(*.f64 -4 (/.f64 y z))

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
608×	`add-log-exp_binary64`
608×	`log1p-expm1-u_binary64`
608×	`expm1-log1p-u_binary64`
596×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1612	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 y z))

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 14 to 7 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (/.f64 4 z))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x (/.f64 4 z))
0.0ms	x	@	inf	(*.f64 x (/.f64 4 z))
0.0ms	x	@	-inf	(*.f64 x (/.f64 4 z))
0.0ms	z	@	inf	(*.f64 x (/.f64 4 z))
0.0ms	z	@	-inf	(*.f64 x (/.f64 4 z))

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1559	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 x (/.f64 4 z))

Outputs

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))

Outputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 -4 (/.f64 z y))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 -4 (/.f64 z y))
0.0ms	z	@	inf	(/.f64 -4 (/.f64 z y))
0.0ms	y	@	inf	(/.f64 -4 (/.f64 z y))
0.0ms	y	@	-inf	(/.f64 -4 (/.f64 z y))
0.0ms	z	@	-inf	(/.f64 -4 (/.f64 z y))

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1772	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 -4 (/.f64 z y))

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))

Outputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))

eval23.0ms (0.4%)

Compiler: Compiled 857 to 538 computations (37.2% saved)

prune19.0ms (0.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	3	3
Picked	0	1	1
Done	1	3	4
Total	106	9	115

Error

Counts

115 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.7b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
▶	45.9b	(*.f64 (/.f64 -4 z) y)
▶	45.2b	(/.f64 4 (/.f64 z x))
	35.4b	-2
▶	28.2b	(*.f64 4 (/.f64 (-.f64 x y) z))
✓	45.9b	(/.f64 -4 (/.f64 z y))
✓	45.9b	(*.f64 -4 (/.f64 y z))
✓	17.4b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	45.1b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 74 to 57 computations (23% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 (-.f64 x y) z))
✓	0.0b	(/.f64 (-.f64 x y) z)

Compiler

Compiled 22 to 8 computations (63.6% saved)

series20.0ms (0.3%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(*.f64 4 (/.f64 (-.f64 x y) z))
1.0ms	x	@	0	(/.f64 (-.f64 x y) z)
1.0ms	z	@	-inf	(/.f64 (-.f64 x y) z)
1.0ms	x	@	-inf	(/.f64 (-.f64 x y) z)
1.0ms	z	@	inf	(/.f64 (-.f64 x y) z)

rewrite149.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
472×	`log-prod_binary64`
366×	`exp-prod_binary64`
271×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	182	17
2	2623	17

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) z)
(*.f64 4 (/.f64 (-.f64 x y) z))

Outputs

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

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-def_binary64`
455×	`fma-neg_binary64`
146×	`cancel-sign-sub-inv_binary64`
127×	`distribute-rgt-in_binary64`
102×	`associate-l_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	14	522
1	28	504
2	47	504
3	65	504
4	82	504
5	112	504
6	170	504
7	243	486
8	392	486
9	713	432
10	1382	378
11	2304	378
12	2646	378
13	2901	378
14	2905	378
15	2905	378

Stop Event

1×

saturated

Counts

265 → 228

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))

Outputs
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 -4 (/.f64 z y))
(*.f64 y (/.f64 -4 z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(*.f64 x (/.f64 4 z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(*.f64 x (/.f64 4 z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(*.f64 x (/.f64 4 z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 -4 (/.f64 z y))
(*.f64 y (/.f64 -4 z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(/.f64 -4 (/.f64 z y))
(*.f64 y (/.f64 -4 z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 (/.f64 x z) 4))
(fma.f64 (/.f64 y z) -4 (*.f64 (/.f64 x z) 4))
(fma.f64 y (/.f64 -4 z) (*.f64 (/.f64 x z) 4))
(*.f64 -4 (-.f64 (/.f64 y z) (/.f64 x z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 -4 (/.f64 (-.f64 y x) z))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 -4 z) y)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(*.f64 (/.f64 -4 z) y)
0.0ms	z	@	-inf	(*.f64 (/.f64 -4 z) y)
0.0ms	z	@	inf	(*.f64 (/.f64 -4 z) y)
0.0ms	y	@	0	(*.f64 (/.f64 -4 z) y)
0.0ms	y	@	-inf	(*.f64 (/.f64 -4 z) y)

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
574×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1562	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (/.f64 -4 z) y)

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

45 → 22

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))

Outputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -4 (/.f64 y z))

Compiler

Compiled 22 to 12 computations (45.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 4 (/.f64 z x))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 4 (/.f64 z x))
0.0ms	z	@	0	(/.f64 4 (/.f64 z x))
0.0ms	x	@	-inf	(/.f64 4 (/.f64 z x))
0.0ms	z	@	-inf	(/.f64 4 (/.f64 z x))
0.0ms	z	@	inf	(/.f64 4 (/.f64 z x))

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`pow1_binary64`
652×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
639×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	7
2	1772	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 4 (/.f64 z x))

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))

Outputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))

eval99.0ms (1.7%)

Compiler: Compiled 7228 to 3125 computations (56.8% saved)

prune46.0ms (0.8%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	296	0	296
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	296	9	305

Error

Counts

305 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.7b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	45.9b	(*.f64 (/.f64 -4 z) y)
✓	45.2b	(/.f64 4 (/.f64 z x))
	35.4b	-2
✓	28.2b	(*.f64 4 (/.f64 (-.f64 x y) z))
✓	45.9b	(/.f64 -4 (/.f64 z y))
✓	45.9b	(*.f64 -4 (/.f64 y z))
✓	17.4b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	45.1b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 74 to 57 computations (23% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	8	8
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.7b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	45.9b	(*.f64 (/.f64 -4 z) y)
✓	45.2b	(/.f64 4 (/.f64 z x))
	35.4b	-2
✓	28.2b	(*.f64 4 (/.f64 (-.f64 x y) z))
✓	45.9b	(/.f64 -4 (/.f64 z y))
✓	45.9b	(*.f64 -4 (/.f64 y z))
✓	17.4b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	45.1b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 74 to 57 computations (23% saved)

regimes47.0ms (0.8%)

Counts

12 → 1

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

Outputs
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

Calls

6 calls:

8.0ms	z
8.0ms	(-.f64 x y)
8.0ms	x
7.0ms	y
7.0ms	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)`
0.2b	1	`(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)`
0.2b	1	`(-.f64 x y)`

Compiler

Compiled 120 to 77 computations (35.8% saved)

regimes38.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Calls

5 calls:

8.0ms	(-.f64 x y)
7.0ms	x
7.0ms	z
7.0ms	y
5.0ms	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)`
0.3b	1	`(-.f64 x y)`

Compiler

Compiled 98 to 63 computations (35.7% saved)

regimes140.0ms (2.4%)

Counts

10 → 3

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 x z)) 2)

Outputs
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(-.f64 (*.f64 -4 (/.f64 y z)) 2)

Calls

5 calls:

36.0ms	(-.f64 x y)
35.0ms	(-.f64 x y)
30.0ms	z
18.0ms	x
18.0ms	y

Results

Error	Segments	Branch
7.5b	3	`x`
5.9b	3	`y`
8.0b	4	`z`
10.6b	5	`(-.f64 x y)`
10.6b	5	`(-.f64 x y)`

Compiler

Compiled 79 to 51 computations (35.4% saved)

bsearch39.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.1780601419567107e+60	4.9481393774008044e+67
20.0ms	-4.0069046279066546e+45	-2.616065464861657e+31

Compiler

Compiled 20 to 15 computations (25% saved)

regimes114.0ms (1.9%)

Counts

9 → 3

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))

Outputs
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)

Calls

5 calls:

26.0ms	(-.f64 x y)
25.0ms	(-.f64 x y)
24.0ms	x
21.0ms	y
17.0ms	z

Results

Error	Segments	Branch
12.7b	3	`x`
16.5b	3	`y`
9.0b	3	`z`
13.6b	5	`(-.f64 x y)`
13.6b	5	`(-.f64 x y)`

Compiler

Compiled 72 to 47 computations (34.7% saved)

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.3483886699686101e+107	2.1608054538718934e+116
19.0ms	-7.855688326229753e-7	-3.740723263907219e-8

Compiler

Compiled 20 to 15 computations (25% saved)

regimes67.0ms (1.1%)

Counts

8 → 5

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)

Outputs
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 x z))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(*.f64 4 (/.f64 x z))

Calls

3 calls:

25.0ms	x
25.0ms	z
15.0ms	y

Results

Error	Segments	Branch
13.5b	5	`x`
16.5b	3	`y`
14.5b	5	`z`

Compiler

Compiled 53 to 35 computations (34% saved)

bsearch186.0ms (3.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
70.0ms	4.6491863559327915e+190	1.571668529579565e+199
19.0ms	6.315436614856788e+45	2.5698477362318683e+46
20.0ms	6.722002239345792e-16	9.620386510955022e-12
77.0ms	-1.2194719199968307e+148	-1.9027637603458589e+146

Compiler

Compiled 340 to 271 computations (20.3% saved)

regimes148.0ms (2.5%)

Counts

7 → 6

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))

Outputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
-2

Calls

3 calls:

91.0ms	x
32.0ms	z
22.0ms	y

Results

Error	Segments	Branch
26.7b	7	`x`
23.9b	5	`y`
23.4b	6	`z`

Compiler

Compiled 46 to 31 computations (32.6% saved)

bsearch273.0ms (4.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
53.0ms	2.1608054538718934e+116	5.267560374695199e+117
27.0ms	1.5181320951687677e-147	2.2651841491859506e-136
16.0ms	1.129572197333676e-199	1.1046753915555016e-197
159.0ms	-1.4374047446578344e-46	-1.4949167955134297e-47
19.0ms	-2.871659831047258e+76	-6.788798284403714e+74

Compiler

Compiled 434 to 337 computations (22.4% saved)

regimes93.0ms (1.6%)

Counts

6 → 6

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))
(*.f64 -4 (/.f64 y z))

Outputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 x (/.f64 4 z))
(*.f64 -4 (/.f64 y z))
(*.f64 x (/.f64 4 z))
-2

Calls

3 calls:

35.0ms	z
32.0ms	x
24.0ms	y

Results

Error	Segments	Branch
26.8b	7	`x`
23.9b	5	`y`
23.5b	6	`z`

Compiler

Compiled 41 to 28 computations (31.7% saved)

bsearch204.0ms (3.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
21.0ms	2.1608054538718934e+116	5.267560374695199e+117
60.0ms	1.5181320951687677e-147	2.2651841491859506e-136
17.0ms	1.129572197333676e-199	1.1046753915555016e-197
86.0ms	-1.4374047446578344e-46	-1.4949167955134297e-47
19.0ms	-2.871659831047258e+76	-6.788798284403714e+74

Compiler

Compiled 434 to 337 computations (22.4% saved)

regimes152.0ms (2.6%)

Counts

5 → 6

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))

Outputs
-2
(/.f64 -4 (/.f64 z y))
(*.f64 x (/.f64 4 z))
(/.f64 -4 (/.f64 z y))
(*.f64 x (/.f64 4 z))
-2

Calls

3 calls:

66.0ms	x
53.0ms	y
30.0ms	z

Results

Error	Segments	Branch
26.8b	7	`x`
23.9b	5	`y`
23.5b	6	`z`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch284.0ms (4.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
20.0ms	2.1608054538718934e+116	5.267560374695199e+117
25.0ms	1.5181320951687677e-147	2.2651841491859506e-136
17.0ms	1.129572197333676e-199	1.1046753915555016e-197
202.0ms	-1.4374047446578344e-46	-1.4949167955134297e-47
20.0ms	-2.871659831047258e+76	-6.788798284403714e+74

Compiler

Compiled 434 to 337 computations (22.4% saved)

regimes110.0ms (1.9%)

Counts

4 → 6

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 x (/.f64 4 z))

Outputs
-2
(*.f64 (/.f64 -4 z) y)
(*.f64 x (/.f64 4 z))
(*.f64 (/.f64 -4 z) y)
(*.f64 x (/.f64 4 z))
-2

Calls

3 calls:

57.0ms	z
32.0ms	x
20.0ms	y

Results

Error	Segments	Branch
26.8b	7	`x`
23.9b	5	`y`
23.5b	6	`z`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch181.0ms (3.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
25.0ms	2.1608054538718934e+116	5.267560374695199e+117
27.0ms	1.5181320951687677e-147	2.2651841491859506e-136
17.0ms	1.129572197333676e-199	1.1046753915555016e-197
92.0ms	-1.4374047446578344e-46	-1.4949167955134297e-47
20.0ms	-2.871659831047258e+76	-6.788798284403714e+74

Compiler

Compiled 434 to 337 computations (22.4% saved)

regimes69.0ms (1.2%)

Counts

3 → 6

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))

Outputs
-2
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
(*.f64 (/.f64 -4 z) y)
(/.f64 4 (/.f64 z x))
-2

Calls

3 calls:

25.0ms	z
24.0ms	x
19.0ms	y

Results

Error	Segments	Branch
26.8b	7	`x`
23.9b	5	`y`
23.5b	6	`z`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch206.0ms (3.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	2.1608054538718934e+116	5.267560374695199e+117
26.0ms	1.5181320951687677e-147	2.2651841491859506e-136
18.0ms	1.129572197333676e-199	1.1046753915555016e-197
123.0ms	-1.4374047446578344e-46	-1.4949167955134297e-47
20.0ms	-2.871659831047258e+76	-6.788798284403714e+74

Compiler

Compiled 434 to 337 computations (22.4% saved)

regimes72.0ms (1.2%)

Accuracy

Total -36.1b remaining (-138.6%)

Threshold costs -36.1b (-138.6%)

Counts

2 → 3

Calls

Call 1

Inputs
-2
(*.f64 (/.f64 -4 z) y)

Outputs
(*.f64 (/.f64 -4 z) y)
-2
(*.f64 (/.f64 -4 z) y)

Calls

3 calls:

48.0ms	z
11.0ms	x
11.0ms	y

Results

Error	Segments	Branch
33.7b	3	`x`
26.1b	3	`y`
28.3b	3	`z`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch109.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	5.215058793366821e+119	1.3638264008450432e+120
24.0ms	-4.4108964075520585e+27	-4.5090126869196884e+26

Compiler

Compiled 90 to 75 computations (16.7% saved)

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	504
1	112	504
2	130	504
3	136	504
4	139	504

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 y 1178060141956710733479850691318100342788963352725833490890752) (-.f64 (.f64 4 (/.f64 x z)) 2) (-.f64 (*.f64 -4 (/.f64 y z)) 2)))
(if (<=.f64 z -3709743925165773/4722366482869645213696) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z 134838866996861011874355365775080496788163766050587887465288000805442130925808509271684648600775690675027968) (.f64 4 (/.f64 (-.f64 x y) z)) (-.f64 (*.f64 -4 (/.f64 y z)) 2)))
(if (<=.f64 x -11999999999999999735956588867891922092377886673613612969267038939631167270749289909123112593079126167637219220986444929626061187680773756744366030848) (.f64 4 (/.f64 x z)) (if (<=.f64 x 1704230034688439/2535301200456458802993406410752) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 x 6315436614856787651033569584962509076690894848) (.f64 4 (/.f64 x z)) (if (<=.f64 x 15499999999999999275917157741862398350852461624367925092272774888328438371777695371606723719520392524746263337165894652201352885428762677752746599289022706153439066807390518247694171061467159837278208) (-.f64 (.f64 -4 (/.f64 y z)) 2) (*.f64 4 (/.f64 x z))))))
(if (<=.f64 z -28716598310472580815994242370560248013324795686168095599714112530920853471232) -2 (if (<=.f64 z -6170642089954523/411376139330301510538742295639337626245683966408394965837152256) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 3703135674690055/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (.f64 4 (/.f64 x z)) (if (<=.f64 z 5892103094213055/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 216080545387189339426102487406620953336994237943939168874804472662961755847797078720641328086311219579750520136400896) (.f64 4 (/.f64 x z)) -2)))))
(if (<=.f64 z -28716598310472580815994242370560248013324795686168095599714112530920853471232) -2 (if (<=.f64 z -6170642089954523/411376139330301510538742295639337626245683966408394965837152256) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 3703135674690055/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (.f64 x (/.f64 4 z)) (if (<=.f64 z 5892103094213055/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 216080545387189339426102487406620953336994237943939168874804472662961755847797078720641328086311219579750520136400896) (.f64 x (/.f64 4 z)) -2)))))
(if (<=.f64 z -28716598310472580815994242370560248013324795686168095599714112530920853471232) -2 (if (<=.f64 z -6170642089954523/411376139330301510538742295639337626245683966408394965837152256) (/.f64 -4 (/.f64 z y)) (if (<=.f64 z 3703135674690055/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (.f64 x (/.f64 4 z)) (if (<=.f64 z 5892103094213055/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (/.f64 -4 (/.f64 z y)) (if (<=.f64 z 216080545387189339426102487406620953336994237943939168874804472662961755847797078720641328086311219579750520136400896) (.f64 x (/.f64 4 z)) -2)))))
(if (<=.f64 z -28716598310472580815994242370560248013324795686168095599714112530920853471232) -2 (if (<=.f64 z -6170642089954523/411376139330301510538742295639337626245683966408394965837152256) (.f64 (/.f64 -4 z) y) (if (<=.f64 z 3703135674690055/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (.f64 x (/.f64 4 z)) (if (<=.f64 z 5892103094213055/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 (/.f64 -4 z) y) (if (<=.f64 z 216080545387189339426102487406620953336994237943939168874804472662961755847797078720641328086311219579750520136400896) (.f64 x (/.f64 4 z)) -2)))))
(if (<=.f64 z -28716598310472580815994242370560248013324795686168095599714112530920853471232) -2 (if (<=.f64 z -6170642089954523/411376139330301510538742295639337626245683966408394965837152256) (.f64 (/.f64 -4 z) y) (if (<=.f64 z 3703135674690055/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (/.f64 4 (/.f64 z x)) (if (<=.f64 z 5892103094213055/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 (/.f64 -4 z) y) (if (<=.f64 z 216080545387189339426102487406620953336994237943939168874804472662961755847797078720641328086311219579750520136400896) (/.f64 4 (/.f64 z x)) -2)))))
(if (<=.f64 y -4410896407552058527150243840) (.f64 (/.f64 -4 z) y) (if (<=.f64 y 1349999999999999987339048618920118542820517606049004879533206403273299783106959025545733712708519844106563658432739540992) -2 (.f64 (/.f64 -4 z) y)))
-2

Outputs
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))) z)
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 y 1178060141956710733479850691318100342788963352725833490890752) (-.f64 (.f64 4 (/.f64 x z)) 2) (-.f64 (*.f64 -4 (/.f64 y z)) 2)))
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (+.f64 (.f64 -4 (/.f64 y z)) -2) (if (<=.f64 y 1178060141956710733479850691318100342788963352725833490890752) (+.f64 (.f64 4 (/.f64 x z)) -2) (+.f64 (*.f64 -4 (/.f64 y z)) -2)))
(if (<=.f64 y -4006904627906654562978678490667036922955694080) (+.f64 -2 (.f64 -4 (/.f64 y z))) (if (<=.f64 y 1178060141956710733479850691318100342788963352725833490890752) (+.f64 -2 (.f64 4 (/.f64 x z))) (+.f64 -2 (*.f64 -4 (/.f64 y z)))))
(if (<=.f64 z -3709743925165773/4722366482869645213696) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 z 134838866996861011874355365775080496788163766050587887465288000805442130925808509271684648600775690675027968) (.f64 4 (/.f64 (-.f64 x y) z)) (-.f64 (*.f64 -4 (/.f64 y z)) 2)))
(if (<=.f64 z -3709743925165773/4722366482869645213696) (+.f64 (.f64 -4 (/.f64 y z)) -2) (if (<=.f64 z 134838866996861011874355365775080496788163766050587887465288000805442130925808509271684648600775690675027968) (.f64 4 (/.f64 (-.f64 x y) z)) (+.f64 (*.f64 -4 (/.f64 y z)) -2)))
(if (<=.f64 z -3709743925165773/4722366482869645213696) (+.f64 -2 (.f64 -4 (/.f64 y z))) (if (<=.f64 z 134838866996861011874355365775080496788163766050587887465288000805442130925808509271684648600775690675027968) (.f64 4 (/.f64 (-.f64 x y) z)) (+.f64 -2 (*.f64 -4 (/.f64 y z)))))
(if (<=.f64 x -11999999999999999735956588867891922092377886673613612969267038939631167270749289909123112593079126167637219220986444929626061187680773756744366030848) (.f64 4 (/.f64 x z)) (if (<=.f64 x 1704230034688439/2535301200456458802993406410752) (-.f64 (.f64 -4 (/.f64 y z)) 2) (if (<=.f64 x 6315436614856787651033569584962509076690894848) (.f64 4 (/.f64 x z)) (if (<=.f64 x 15499999999999999275917157741862398350852461624367925092272774888328438371777695371606723719520392524746263337165894652201352885428762677752746599289022706153439066807390518247694171061467159837278208) (-.f64 (.f64 -4 (/.f64 y z)) 2) (*.f64 4 (/.f64 x z))))))
(if (<=.f64 x -11999999999999999735956588867891922092377886673613612969267038939631167270749289909123112593079126167637219220986444929626061187680773756744366030848) (.f64 4 (/.f64 x z)) (if (<=.f64 x 1704230034688439/2535301200456458802993406410752) (+.f64 (.f64 -4 (/.f64 y z)) -2) (if (<=.f64 x 6315436614856787651033569584962509076690894848) (.f64 4 (/.f64 x z)) (if (<=.f64 x 15499999999999999275917157741862398350852461624367925092272774888328438371777695371606723719520392524746263337165894652201352885428762677752746599289022706153439066807390518247694171061467159837278208) (+.f64 (.f64 -4 (/.f64 y z)) -2) (*.f64 4 (/.f64 x z))))))
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(if (<=.f64 y -4410896407552058527150243840) (.f64 (/.f64 -4 z) y) (if (<=.f64 y 1349999999999999987339048618920118542820517606049004879533206403273299783106959025545733712708519844106563658432739540992) -2 (.f64 (/.f64 -4 z) y)))
(if (<=.f64 y -4410896407552058527150243840) (.f64 y (/.f64 -4 z)) (if (<=.f64 y 1349999999999999987339048618920118542820517606049004879533206403273299783106959025545733712708519844106563658432739540992) -2 (.f64 y (/.f64 -4 z))))
-2

Compiler

Compiled 388 to 269 computations (30.7% saved)

soundness197.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-neg_binary64`
796×	`fma-def_binary64`
768×	`times-frac_binary64`
456×	`cancel-sign-sub-inv_binary64`
435×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	24	16
2	59	14
3	184	14
4	516	14
5	1668	11
6	6056	11

Stop Event

1×	node limit

Compiler

Compiled 262 to 187 computations (28.6% saved)

end210.0ms (3.6%)

Compiler: Compiled 355 to 228 computations (35.8% saved)

Details

analyze273.0ms (4.6%)

sample1.1s (18.1%)

preprocess67.0ms (1.1%)

simplify54.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.3%)

series8.0ms (0.1%)

rewrite67.0ms (1.1%)

simplify98.0ms (1.7%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite58.0ms (1%)

simplify91.0ms (1.5%)

eval37.0ms (0.6%)

prune47.0ms (0.8%)

localize16.0ms (0.3%)

series8.0ms (0.1%)

rewrite68.0ms (1.2%)

simplify15.0ms (0.3%)

localize11.0ms (0.2%)

series5.0ms (0.1%)

rewrite50.0ms (0.8%)

simplify14.0ms (0.2%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite49.0ms (0.8%)

simplify13.0ms (0.2%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite52.0ms (0.9%)

simplify11.0ms (0.2%)

eval23.0ms (0.4%)

prune19.0ms (0.3%)

localize7.0ms (0.1%)

series20.0ms (0.3%)

rewrite149.0ms (2.5%)

simplify99.0ms (1.7%)

localize11.0ms (0.2%)

series3.0ms (0%)

rewrite57.0ms (1%)

simplify12.0ms (0.2%)

localize8.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite49.0ms (0.8%)

simplify12.0ms (0.2%)

eval99.0ms (1.7%)

prune46.0ms (0.8%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes47.0ms (0.8%)

regimes38.0ms (0.6%)

regimes140.0ms (2.4%)

bsearch39.0ms (0.7%)

regimes114.0ms (1.9%)

bsearch38.0ms (0.7%)

regimes67.0ms (1.1%)

bsearch186.0ms (3.2%)

regimes148.0ms (2.5%)

bsearch273.0ms (4.7%)

regimes93.0ms (1.6%)

bsearch204.0ms (3.5%)

regimes152.0ms (2.6%)

bsearch284.0ms (4.8%)

regimes110.0ms (1.9%)

bsearch181.0ms (3.1%)

regimes69.0ms (1.2%)

bsearch206.0ms (3.5%)

regimes72.0ms (1.2%)

bsearch109.0ms (1.9%)

simplify37.0ms (0.6%)

soundness197.0ms (3.4%)

end210.0ms (3.6%)

Profiling