Details

analyze342.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
14.1%	14%	85.8%	0.2%	0%	0%	0%	11
21.1%	21.1%	78.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.1s (4.2%)

Results

919.0ms	8256×	body	256	valid
135.0ms	1224×	body	256	infinite

Bogosity

preprocess3.9s (15.4%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) y) (/.f64 (.f64 x z) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) z) (/.f64 (.f64 y x) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) t) (/.f64 (.f64 y z) 2)) x)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 z y) 2)) t)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 t z) 2)) y)
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y t) 2)) z)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(fma.f64 1/8 x (-.f64 t (.f64 (.f64 y z) 1/2)))
(+.f64 (-.f64 (.f64 (/.f64 1 8) y) (/.f64 (.f64 x z) 2)) t)
(fma.f64 1/8 y (-.f64 t (.f64 (.f64 x z) 1/2)))
(+.f64 (-.f64 (.f64 (/.f64 1 8) z) (/.f64 (.f64 y x) 2)) t)
(fma.f64 1/8 z (-.f64 t (.f64 (.f64 y x) 1/2)))
(+.f64 (-.f64 (.f64 (/.f64 1 8) t) (/.f64 (.f64 y z) 2)) x)
(fma.f64 1/8 t (-.f64 x (.f64 (.f64 y z) 1/2)))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 z y) 2)) t)
(fma.f64 1/8 x (-.f64 t (.f64 (.f64 y z) 1/2)))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 t z) 2)) y)
(fma.f64 1/8 x (-.f64 y (.f64 (.f64 t z) 1/2)))
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y t) 2)) z)
(fma.f64 1/8 x (-.f64 z (.f64 (.f64 y t) 1/2)))

Compiler

Compiled 21 to 17 computations (19% saved)

simplify1.9s (7.3%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)
(fma.f64 1/8 x (-.f64 t (.f64 (.f64 y z) 1/2)))

eval1.0ms (0%)

Compiler: Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2)) t)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
✓	0.0b	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 51 to 32 computations (37.3% saved)

series23.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (*.f64 y z) 2)
1.0ms	y	@	0	(/.f64 (*.f64 y z) 2)
1.0ms	x	@	-inf	(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))
1.0ms	y	@	inf	(/.f64 (*.f64 y z) 2)
1.0ms	z	@	inf	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 2025 to 1035 computations (48.9% saved)

rewrite2.5s (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

112×	`egg-rr`
91×	`egg-rr`

Counts

2 → 203

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) 2)
(-.f64 (.f64 (/.f64 1 8) x) (/.f64 (.f64 y z) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z y)) (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (/.f64 (.f64 z y) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (sqrt.f64 1/2)) (.f64 z (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (sqrt.f64 1/2)) (.f64 y (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 z y) (sqrt.f64 8))) (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/2) (/.f64 (.f64 z y) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (cbrt.f64 1/2)) (.f64 z (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (cbrt.f64 1/2)) (.f64 y (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z y) (cbrt.f64 2)) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z y) (sqrt.f64 2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (cbrt.f64 1/4)) (.f64 z (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z y) (cbrt.f64 4)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (cbrt.f64 1/4)) (.f64 y (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (.f64 z y) (sqrt.f64 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 1/2 (.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (neg.f64 y)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 -1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/2 (.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (+.f64 0 (.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) 0))) (-.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (.f64 0 (cbrt.f64 (.f64 -1/2 (.f64 z y)))))) (cbrt.f64 (.f64 1/2 (.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) 0)) (+.f64 0 (cbrt.f64 (.f64 1/2 (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (.f64 z y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 z (neg.f64 y))) (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2))) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 z y)) (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z (cbrt.f64 1/4))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 z y) (cbrt.f64 4)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (.f64 y (cbrt.f64 1/4))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 z (neg.f64 y)))) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 z y))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 z y) (cbrt.f64 2))) (cbrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 z y) (cbrt.f64 2)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 1/2) (.f64 z y)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z (cbrt.f64 1/2)) y) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (cbrt.f64 1/2)) z) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 z y) (sqrt.f64 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (neg.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 z y) (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (.f64 y (sqrt.f64 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z (sqrt.f64 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 1/2) (.f64 z y)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (.f64 z y)) (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (sqrt.f64 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (sqrt.f64 1/2)) z) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z (sqrt.f64 1/2)) y) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z y) (sqrt.f64 8))) (cbrt.f64 (pow.f64 (.f64 z y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z (neg.f64 y)) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/2 (.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/2 (.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 -1/2 (.f64 z y)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 z 0) (/.f64 y (/.f64 2 z)) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 y 0) (/.f64 z (/.f64 2 y)) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) 0) (/.f64 (cbrt.f64 (.f64 z y)) (/.f64 2 (cbrt.f64 (pow.f64 (.f64 z y) 2)))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 z y) 0) (pow.f64 (/.f64 2 (.f64 z y)) -1) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (.f64 z y)) 0) (pow.f64 (/.f64 2 (.f64 z y)) -1) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (.f64 1/2 (.f64 z y)) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (.f64 z y)) 0) (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) 0) (.f64 1/2 (.f64 z y))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 -1/2 (.f64 z y)) 0) (/.f64 (.f64 (pow.f64 (.f64 z y) 2) -1/4) (.f64 -1/2 (.f64 z y))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 z y)) 3) 0) (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 0 (.f64 (.f64 1/2 (.f64 z y)) 0)))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 -1/2 (.f64 z y)) 0) (/.f64 (pow.f64 (.f64 1/2 (.f64 z y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (.f64 0 (.f64 -1/2 (.f64 z y)))))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 0 (.f64 (.f64 1/2 (.f64 z y)) 0))) 0) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 z y)) 3) 0) (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 0 (.f64 (.f64 1/2 (.f64 z y)) 0)))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (.f64 0 (.f64 -1/2 (.f64 z y))))) 0) (/.f64 (pow.f64 (.f64 1/2 (.f64 z y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (.f64 0 (.f64 -1/2 (.f64 z y)))))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (.f64 z y)) 0) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 z y)) 3) 0) (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 0 (.f64 (.f64 1/2 (.f64 z y)) 0)))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 1/2 (.f64 z y)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (.f64 0 (.f64 -1/2 (.f64 z y)))))) (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 z y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 1/2 (.f64 z y)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 1/2 (.f64 z y)) 9) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 1/2 (.f64 z y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 1/2 (.f64 z y)) 6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 1/2 (.f64 z y)) 3/2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 1/2 (.f64 z y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 1/2 (.f64 z y)) 1/3) 1/3)))) 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x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (*.f64 -8 (*.f64 z y)) -16)) (/.f64 (*.f64 -2 x) -16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (*.f64 8 (*.f64 z y)) 16)) (/.f64 (+.f64 x x) 16))))))

simplify6.3s (24.8%)

Algorithm

1×

egglog

Counts

263 → 268

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 1/2 (.f64 y z))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 (.f64 z y)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 -1/2 (*.f64 z y)) 2)))
(.f64 z (.f64 1/2 y))
(.f64 y (.f64 1/2 z))
(.f64 (cbrt.f64 (.f64 z y)) (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 z y) 2))))
(.f64 (.f64 1/2 y) z)
(.f64 (.f64 1/2 z) y)
(.f64 (sqrt.f64 1/2) (/.f64 (.f64 z y) (sqrt.f64 2)))
(.f64 (.f64 y (sqrt.f64 1/2)) (*.f64 z (sqrt.f64 1/2)))
(.f64 (.f64 z (sqrt.f64 1/2)) (*.f64 y (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (/.f64 (.f64 z y) (sqrt.f64 8))) (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (/.f64 (.f64 z y) (cbrt.f64 4)))
(.f64 (.f64 y (cbrt.f64 1/2)) (*.f64 z (cbrt.f64 1/4)))
(.f64 (.f64 z (cbrt.f64 1/2)) (*.f64 y (cbrt.f64 1/4)))
(.f64 (/.f64 (.f64 z y) (cbrt.f64 2)) (cbrt.f64 1/4))
(.f64 (/.f64 (.f64 z y) (sqrt.f64 2)) (sqrt.f64 1/2))
(.f64 (.f64 y (cbrt.f64 1/4)) (*.f64 z (cbrt.f64 1/2)))
(.f64 (/.f64 (.f64 z y) (cbrt.f64 4)) (cbrt.f64 1/2))
(.f64 (.f64 z (cbrt.f64 1/4)) (*.f64 y (cbrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (.f64 z y) (sqrt.f64 8))))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 1/2 (*.f64 z y))))
(.f64 1/2 (.f64 z y))
(.f64 -1/2 (.f64 z (neg.f64 y)))
(.f64 (.f64 z y) 1/2)
(.f64 (.f64 z (neg.f64 y)) -1/2)
(.f64 -1 (.f64 -1/2 (*.f64 z y)))
(.f64 (.f64 -1/2 (*.f64 z y)) -1)
(.f64 1 (.f64 1/2 (*.f64 z y)))
(.f64 (.f64 1/2 (*.f64 z y)) 1)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (+.f64 0 (.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) 0))) (-.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) 0))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (.f64 0 (cbrt.f64 (.f64 -1/2 (.f64 z y)))))) (cbrt.f64 (.f64 1/2 (.f64 z y))))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) 0)) (+.f64 0 (cbrt.f64 (.f64 1/2 (*.f64 z y)))))
(-.f64 (.f64 1/2 (.f64 z y)) 0)
(-.f64 0 (.f64 -1/2 (.f64 z y)))
(/.f64 (.f64 (cbrt.f64 (.f64 z (neg.f64 y))) (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2))) (cbrt.f64 -2))
(/.f64 (.f64 (cbrt.f64 (.f64 z y)) (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2))) (cbrt.f64 2))
(/.f64 (.f64 y (.f64 z (cbrt.f64 1/4))) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (.f64 z (.f64 y (cbrt.f64 1/4))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 z (neg.f64 y)))) (cbrt.f64 -2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 z y))) (cbrt.f64 2))
(/.f64 (neg.f64 (/.f64 (*.f64 z y) (cbrt.f64 2))) (cbrt.f64 -4))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (.f64 (cbrt.f64 1/2) (.f64 z y)) (cbrt.f64 4))
(/.f64 (.f64 (.f64 z (cbrt.f64 1/2)) y) (cbrt.f64 4))
(/.f64 (.f64 (.f64 y (cbrt.f64 1/2)) z) (cbrt.f64 4))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 4))
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(if (!=.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 -2 x) -16) 3) (pow.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) 3)) (+.f64 (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -2 x) -16)) (+.f64 (.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) (/.f64 (.f64 -8 (.f64 z y)) -16)) (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -8 (.f64 z y)) -16))))) (fma.f64 1/8 x (.f64 -1/2 (*.f64 z y))))
(if (!=.f64 (.f64 -1/8 x) 0) (/.f64 (fma.f64 1/512 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (.f64 z y)) 3)) (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 (.f64 1/64 (pow.f64 x 2)) (.f64 (.f64 -1/2 (.f64 z y)) (.f64 -1/8 x))))) (fma.f64 1/8 x (.f64 -1/2 (.f64 z y))))
(if (!=.f64 (+.f64 (.f64 (/.f64 (+.f64 x x) 16) (/.f64 (+.f64 x x) 16)) (+.f64 (.f64 (/.f64 (.f64 8 (.f64 z y)) 16) (/.f64 (.f64 8 (.f64 z y)) 16)) (.f64 (/.f64 (+.f64 x x) 16) (/.f64 (.f64 8 (.f64 z y)) 16)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x x) 16) 3) (pow.f64 (/.f64 (.f64 8 (.f64 z y)) 16) 3)) (+.f64 (.f64 (/.f64 (+.f64 x x) 16) (/.f64 (+.f64 x x) 16)) (+.f64 (.f64 (/.f64 (.f64 8 (.f64 z y)) 16) (/.f64 (.f64 8 (.f64 z y)) 16)) (.f64 (/.f64 (+.f64 x x) 16) (/.f64 (.f64 8 (.f64 z y)) 16))))) (fma.f64 1/8 x (.f64 -1/2 (.f64 z y))))
(if (!=.f64 (+.f64 (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -2 x) -16)) (+.f64 (.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) (/.f64 (.f64 -8 (.f64 z y)) -16)) (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -8 (.f64 z y)) -16)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 -2 x) -16) 3) (pow.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) 3)) (+.f64 (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -2 x) -16)) (+.f64 (.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) (/.f64 (.f64 -8 (.f64 z y)) -16)) (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -8 (.f64 z y)) -16))))) (fma.f64 1/8 x (.f64 -1/2 (*.f64 z y))))
(if (!=.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 (.f64 1/64 (pow.f64 x 2)) (.f64 (.f64 -1/2 (.f64 z y)) (.f64 -1/8 x)))) 0) (/.f64 (fma.f64 1/512 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (.f64 z y)) 3)) (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 (.f64 1/64 (pow.f64 x 2)) (.f64 (.f64 -1/2 (.f64 z y)) (.f64 -1/8 x))))) (fma.f64 1/8 x (.f64 -1/2 (.f64 z y))))
(if (!=.f64 (/.f64 (+.f64 x x) 16) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x x) 16) 3) (pow.f64 (/.f64 (.f64 8 (.f64 z y)) 16) 3)) (+.f64 (.f64 (/.f64 (+.f64 x x) 16) (/.f64 (+.f64 x x) 16)) (+.f64 (.f64 (/.f64 (.f64 8 (.f64 z y)) 16) (/.f64 (.f64 8 (.f64 z y)) 16)) (.f64 (/.f64 (+.f64 x x) 16) (/.f64 (.f64 8 (.f64 z y)) 16))))) (fma.f64 1/8 x (.f64 -1/2 (*.f64 z y))))
(if (!=.f64 (/.f64 (.f64 -2 x) -16) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 -2 x) -16) 3) (pow.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) 3)) (+.f64 (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -2 x) -16)) (+.f64 (.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) (/.f64 (.f64 -8 (.f64 z y)) -16)) (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -8 (.f64 z y)) -16))))) (fma.f64 1/8 x (.f64 -1/2 (.f64 z y))))
(if (!=.f64 (.f64 -1/2 (.f64 z y)) 0) (/.f64 (fma.f64 1/512 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (.f64 z y)) 3)) (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 (.f64 1/64 (pow.f64 x 2)) (.f64 (.f64 -1/2 (.f64 z y)) (.f64 -1/8 x))))) (fma.f64 1/8 x (.f64 -1/2 (*.f64 z y))))
(+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x))
(+.f64 (.f64 1/8 x) (.f64 -1/2 (*.f64 z y)))
(+.f64 0 (fma.f64 1/8 x (.f64 -1/2 (.f64 z y))))
(+.f64 (/.f64 (+.f64 x x) 16) (neg.f64 (/.f64 (.f64 8 (.f64 z y)) 16)))
(+.f64 (/.f64 (.f64 -2 x) -16) (neg.f64 (/.f64 (.f64 -8 (*.f64 z y)) -16)))
(+.f64 (+.f64 0 (.f64 1/8 x)) (.f64 -1/2 (*.f64 z y)))
(+.f64 (-.f64 (.f64 -1/2 (.f64 z y)) 0) (*.f64 1/8 x))
(+.f64 (-.f64 0 (/.f64 (.f64 -8 (.f64 z y)) -16)) (/.f64 (*.f64 -2 x) -16))
(+.f64 (-.f64 0 (/.f64 (.f64 8 (.f64 z y)) 16)) (/.f64 (+.f64 x x) 16))

Outputs
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 y z))
(.f64 z (.f64 1/2 y))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(*.f64 1/8 x)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(.f64 -1/2 (.f64 y z))
(.f64 (.f64 -1/2 y) z)
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 -1/2 (.f64 y z)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 (.f64 z y)))
(.f64 1/2 (cbrt.f64 (pow.f64 (.f64 z y) 3)))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 -1/2 (*.f64 z y)) 2)))
(.f64 z (.f64 1/2 y))
(.f64 z (.f64 1/2 y))
(.f64 y (.f64 1/2 z))
(.f64 z (.f64 1/2 y))
(.f64 (cbrt.f64 (.f64 z y)) (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 z y) 2))))
(.f64 1/2 (cbrt.f64 (pow.f64 (.f64 z y) 3)))
(.f64 (.f64 1/2 y) z)
(.f64 z (.f64 1/2 y))
(.f64 (.f64 1/2 z) y)
(.f64 z (.f64 1/2 y))
(.f64 (sqrt.f64 1/2) (/.f64 (.f64 z y) (sqrt.f64 2)))
(.f64 z (.f64 1/2 y))
(.f64 (.f64 y (sqrt.f64 1/2)) (*.f64 z (sqrt.f64 1/2)))
(.f64 z (.f64 1/2 y))
(.f64 (.f64 z (sqrt.f64 1/2)) (*.f64 y (sqrt.f64 1/2)))
(.f64 z (.f64 1/2 y))
(.f64 (cbrt.f64 (/.f64 (.f64 z y) (sqrt.f64 8))) (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (sqrt.f64 1/2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 3)) (sqrt.f64 1/2)) (cbrt.f64 (sqrt.f64 8)))
(.f64 (cbrt.f64 1/2) (/.f64 (.f64 z y) (cbrt.f64 4)))
(/.f64 (.f64 (.f64 y (cbrt.f64 1/2)) z) (cbrt.f64 4))
(.f64 (.f64 y (cbrt.f64 1/2)) (*.f64 z (cbrt.f64 1/4)))
(.f64 (.f64 z (cbrt.f64 1/2)) (*.f64 y (cbrt.f64 1/4)))
(.f64 (.f64 y (cbrt.f64 1/2)) (*.f64 z (cbrt.f64 1/4)))
(.f64 (/.f64 (.f64 z y) (cbrt.f64 2)) (cbrt.f64 1/4))
(/.f64 (.f64 z (.f64 y (cbrt.f64 1/4))) (cbrt.f64 2))
(.f64 (/.f64 (.f64 z y) (sqrt.f64 2)) (sqrt.f64 1/2))
(.f64 z (.f64 1/2 y))
(.f64 (.f64 y (cbrt.f64 1/4)) (*.f64 z (cbrt.f64 1/2)))
(.f64 (.f64 y (cbrt.f64 1/2)) (*.f64 z (cbrt.f64 1/4)))
(.f64 (/.f64 (.f64 z y) (cbrt.f64 4)) (cbrt.f64 1/2))
(/.f64 (.f64 (.f64 y (cbrt.f64 1/2)) z) (cbrt.f64 4))
(.f64 (.f64 z (cbrt.f64 1/4)) (*.f64 y (cbrt.f64 1/2)))
(.f64 (.f64 y (cbrt.f64 1/2)) (*.f64 z (cbrt.f64 1/4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (.f64 z y) (sqrt.f64 8))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 3)) (sqrt.f64 1/2)) (cbrt.f64 (sqrt.f64 8)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 1/2 (*.f64 z y))))
(.f64 z (.f64 1/2 y))
(.f64 1/2 (.f64 z y))
(.f64 z (.f64 1/2 y))
(.f64 -1/2 (.f64 z (neg.f64 y)))
(.f64 z (.f64 1/2 y))
(.f64 (.f64 z y) 1/2)
(.f64 z (.f64 1/2 y))
(.f64 (.f64 z (neg.f64 y)) -1/2)
(.f64 z (.f64 1/2 y))
(.f64 -1 (.f64 -1/2 (*.f64 z y)))
(.f64 z (.f64 1/2 y))
(.f64 (.f64 -1/2 (*.f64 z y)) -1)
(.f64 z (.f64 1/2 y))
(.f64 1 (.f64 1/2 (*.f64 z y)))
(.f64 z (.f64 1/2 y))
(.f64 (.f64 1/2 (*.f64 z y)) 1)
(.f64 z (.f64 1/2 y))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (+.f64 0 (.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) 0))) (-.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) 0))
(.f64 z (.f64 1/2 y))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (.f64 0 (cbrt.f64 (.f64 -1/2 (.f64 z y)))))) (cbrt.f64 (.f64 1/2 (.f64 z y))))
(.f64 z (.f64 1/2 y))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) 0)) (+.f64 0 (cbrt.f64 (.f64 1/2 (*.f64 z y)))))
(.f64 z (.f64 1/2 y))
(-.f64 (.f64 1/2 (.f64 z y)) 0)
(.f64 z (.f64 1/2 y))
(-.f64 0 (.f64 -1/2 (.f64 z y)))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 (cbrt.f64 (.f64 z (neg.f64 y))) (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2))) (cbrt.f64 -2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 (cbrt.f64 (.f64 z y)) (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2))) (cbrt.f64 2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 y (.f64 z (cbrt.f64 1/4))) (cbrt.f64 2))
(/.f64 (.f64 z (.f64 y (cbrt.f64 1/4))) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (*.f64 z y) (cbrt.f64 8))
(/.f64 (.f64 z (.f64 y (cbrt.f64 1/4))) (cbrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 z (neg.f64 y)))) (cbrt.f64 -2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2)) (cbrt.f64 (.f64 z y))) (cbrt.f64 2))
(.f64 z (.f64 1/2 y))
(/.f64 (neg.f64 (/.f64 (*.f64 z y) (cbrt.f64 2))) (cbrt.f64 -4))
(/.f64 (neg.f64 (.f64 z y)) (.f64 (cbrt.f64 -4) (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 z y) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (*.f64 z y) (cbrt.f64 8))
(/.f64 (.f64 (cbrt.f64 1/2) (.f64 z y)) (cbrt.f64 4))
(/.f64 (.f64 (.f64 y (cbrt.f64 1/2)) z) (cbrt.f64 4))
(/.f64 (.f64 (.f64 z (cbrt.f64 1/2)) y) (cbrt.f64 4))
(/.f64 (.f64 (.f64 y (cbrt.f64 1/2)) z) (cbrt.f64 4))
(/.f64 (.f64 (.f64 y (cbrt.f64 1/2)) z) (cbrt.f64 4))
(/.f64 (.f64 (cbrt.f64 (.f64 1/2 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 4))
(cbrt.f64 (/.f64 (.f64 (.f64 z (.f64 1/2 y)) (pow.f64 (.f64 z y) 2)) 4))
(/.f64 (.f64 1/2 (.f64 z y)) 1)
(.f64 z (.f64 1/2 y))
(/.f64 (neg.f64 (/.f64 (*.f64 z y) (sqrt.f64 2))) (neg.f64 (sqrt.f64 2)))
(.f64 z (.f64 1/2 y))
(/.f64 (*.f64 z (neg.f64 y)) -2)
(.f64 z (.f64 1/2 y))
(/.f64 (/.f64 (*.f64 z y) (sqrt.f64 2)) (sqrt.f64 2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 z (.f64 y (sqrt.f64 1/2))) (sqrt.f64 2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 y (.f64 z (sqrt.f64 1/2))) (sqrt.f64 2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 z y)) (sqrt.f64 2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 (cbrt.f64 (.f64 z y)) (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (sqrt.f64 1/2))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 3)) (sqrt.f64 1/2)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 y (sqrt.f64 1/2)) z) (sqrt.f64 2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 (.f64 z (sqrt.f64 1/2)) y) (sqrt.f64 2))
(.f64 z (.f64 1/2 y))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z y) (sqrt.f64 8))) (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 z y) 3)) (sqrt.f64 1/2)) (cbrt.f64 (sqrt.f64 8)))
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(if (!=.f64 (/.f64 (.f64 -2 x) -16) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 -2 x) -16) 3) (pow.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) 3)) (+.f64 (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -2 x) -16)) (+.f64 (.f64 (/.f64 (.f64 -8 (.f64 z y)) -16) (/.f64 (.f64 -8 (.f64 z y)) -16)) (.f64 (/.f64 (.f64 -2 x) -16) (/.f64 (.f64 -8 (.f64 z y)) -16))))) (fma.f64 1/8 x (.f64 -1/2 (.f64 z y))))
(if (!=.f64 (.f64 (.f64 -2 x) -1/16) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 -2 x) 3) (pow.f64 (.f64 (.f64 -8 z) y) 3)) -4096) (+.f64 (/.f64 (.f64 4 (pow.f64 x 2)) 256) (/.f64 (.f64 (.f64 (.f64 -8 z) y) (-.f64 (.f64 (.f64 -8 z) y) (.f64 x 2))) 256))) (fma.f64 -1/2 (.f64 z y) (.f64 1/8 x)))
(if (!=.f64 (.f64 -1/2 (.f64 z y)) 0) (/.f64 (fma.f64 1/512 (pow.f64 x 3) (pow.f64 (.f64 -1/2 (.f64 z y)) 3)) (+.f64 (pow.f64 (.f64 -1/2 (.f64 z y)) 2) (+.f64 (.f64 1/64 (pow.f64 x 2)) (.f64 (.f64 -1/2 (.f64 z y)) (.f64 -1/8 x))))) (fma.f64 1/8 x (.f64 -1/2 (*.f64 z y))))
(if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (/.f64 (fma.f64 1/512 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/2 y) z) 3)) (+.f64 (pow.f64 (.f64 z (.f64 1/2 y)) 2) (.f64 (.f64 x -1/8) (fma.f64 -1/2 (.f64 z y) (.f64 x -1/8))))) (fma.f64 -1/2 (.f64 z y) (.f64 1/8 x)))
(+.f64 (.f64 -1/2 (.f64 z y)) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (.f64 1/8 x) (.f64 -1/2 (*.f64 z y)))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 0 (fma.f64 1/8 x (.f64 -1/2 (.f64 z y))))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (/.f64 (+.f64 x x) 16) (neg.f64 (/.f64 (.f64 8 (.f64 z y)) 16)))
(.f64 (fma.f64 8 (.f64 z y) (*.f64 -2 x)) -1/16)
(+.f64 (/.f64 (.f64 -2 x) -16) (neg.f64 (/.f64 (.f64 -8 (*.f64 z y)) -16)))
(.f64 (fma.f64 8 (.f64 z y) (*.f64 -2 x)) -1/16)
(+.f64 (+.f64 0 (.f64 1/8 x)) (.f64 -1/2 (*.f64 z y)))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (-.f64 (.f64 -1/2 (.f64 z y)) 0) (*.f64 1/8 x))
(fma.f64 -1/2 (.f64 z y) (.f64 1/8 x))
(+.f64 (-.f64 0 (/.f64 (.f64 -8 (.f64 z y)) -16)) (/.f64 (*.f64 -2 x) -16))
(.f64 (fma.f64 8 (.f64 z y) (*.f64 -2 x)) -1/16)
(+.f64 (-.f64 0 (/.f64 (.f64 8 (.f64 z y)) 16)) (/.f64 (+.f64 x x) 16))
(.f64 (fma.f64 8 (.f64 z y) (*.f64 -2 x)) -1/16)

eval124.0ms (0.5%)

Compiler: Compiled 6624 to 4385 computations (33.8% saved)

prune47.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	265	3	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	266	3	269

Error

0.0b

Counts

269 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 (-.f64 (.f64 (.f64 z y) 4) x) -8) t)
▶	25.7b	(+.f64 (.f64 (.f64 -1/2 y) z) t)
▶	16.9b	(+.f64 (*.f64 1/8 x) t)

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize6.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 -1/2 y) z) t)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series8.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (.f64 (.f64 -1/2 y) z) t)
0.0ms	t	@	0	(+.f64 (.f64 (.f64 -1/2 y) z) t)
0.0ms	z	@	0	(+.f64 (.f64 (.f64 -1/2 y) z) t)
0.0ms	t	@	inf	(+.f64 (.f64 (.f64 -1/2 y) z) t)
0.0ms	y	@	inf	(+.f64 (.f64 (.f64 -1/2 y) z) t)

Compiler

Compiled 1115 to 485 computations (56.5% saved)

rewrite1.6s (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

45× egg-rr

Counts

1 → 45

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 -1/2 y) z) t)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 -1/2 y) z t)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 y) z t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 y) z t) 2)) (cbrt.f64 (fma.f64 (.f64 -1/2 y) z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) (.f64 (cbrt.f64 t) (-.f64 (cbrt.f64 t) (cbrt.f64 (.f64 (.f64 -1/2 y) z))))) (+.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 t 2)) (.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (-.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))) (+.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 -1/2 y) z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 -1/2 y) z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 -1/2 y) z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 y) z t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (.f64 -1/2 y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 -1/2 z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (pow.f64 z 2)) (.f64 -1/2 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 z) y t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 1/4) (.f64 y z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -1/2 y)) (.f64 (cbrt.f64 (.f64 1/4 (pow.f64 y 2))) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -1/2 y) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 2)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y z) -1/2 t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (cbrt.f64 (.f64 -1/2 y))) (cbrt.f64 (.f64 1/4 (pow.f64 y 2))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 -1/2 y) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (.f64 (.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -1/2 y) z) 1 t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 1 (.f64 (.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 t 2)) (.f64 (.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) (cbrt.f64 (.f64 (.f64 -1/2 y) z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t 2)) (cbrt.f64 t) (.f64 (.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 -1/2 y) z t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 -1/2 y) z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 y) z t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 y) z t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 1/2 (.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (.f64 (fma.f64 t (/.f64 (/.f64 -2 y) z) 1) (.f64 (.f64 -1/2 y) z)) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t))) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 t 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 (.f64 -1/2 y) z) t) 0) (/.f64 (fma.f64 t t (.f64 -1/4 (pow.f64 (.f64 y z) 2))) (-.f64 t (.f64 (.f64 -1/2 y) z))) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 t (.f64 (.f64 -1/2 y) z)) 0) (/.f64 (fma.f64 t t (.f64 -1/4 (pow.f64 (.f64 y z) 2))) (-.f64 t (.f64 (.f64 -1/2 y) z))) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 t 0) (.f64 (/.f64 (fma.f64 (.f64 -1/2 y) z t) t) t) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 t) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -1/2 y) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 t (.f64 (.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (*.f64 -1/2 y) z) 0) t)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 2)) (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 y) z) 2)) (*.f64 (cbrt.f64 t) (-.f64 (cbrt.f64 t) (cbrt.f64 (*.f64 (*.f64 -1/2 y) z))))) (+.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 y) z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 t 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 y) z)) (-.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 y) z)) (cbrt.f64 t)))) (+.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 y) z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 -1/2 y) z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) z t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 -1/2 y) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 -1/2 z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (pow.f64 z 2)) (*.f64 -1/2 y)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 z) y t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 1/4) (*.f64 y z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/2 y)) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 y 2))) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/2 y) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 2)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) -1/2 t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 -1/2 y))) (cbrt.f64 (*.f64 1/4 (pow.f64 y 2))) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 -1/2 y) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 t (*.f64 (*.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/2 y) z) 1 t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 1 (*.f64 (*.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 -1/2 y) z)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 y) z) 2)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 t 2)) (*.f64 (*.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/2 y) z) 2)) (cbrt.f64 (*.f64 (*.f64 -1/2 y) z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t 2)) (cbrt.f64 t) (*.f64 (*.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 1/2 (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 -1/2 y) z) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (*.f64 (*.f64 (*.f64 -1/2 y) z) (-.f64 (*.f64 (*.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 -1/2 y) z) 0) (*.f64 (fma.f64 t (/.f64 (/.f64 -2 y) z) 1) (*.f64 (*.f64 -1/2 y) z)) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 t t (*.f64 (*.f64 (*.f64 -1/2 y) z) (-.f64 (*.f64 (*.f64 -1/2 y) z) t))) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (*.f64 (*.f64 (*.f64 -1/2 y) z) (-.f64 (*.f64 (*.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 t 0) (/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (*.f64 (*.f64 (*.f64 -1/2 y) z) (-.f64 (*.f64 (*.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (*.f64 -1/2 y) z) t) 0) (/.f64 (fma.f64 t t (*.f64 -1/4 (pow.f64 (*.f64 y z) 2))) (-.f64 t (*.f64 (*.f64 -1/2 y) z))) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 t (*.f64 (*.f64 -1/2 y) z)) 0) (/.f64 (fma.f64 t t (*.f64 -1/4 (pow.f64 (*.f64 y z) 2))) (-.f64 t (*.f64 (*.f64 -1/2 y) z))) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 t 0) (*.f64 (/.f64 (fma.f64 (*.f64 -1/2 y) z t) t) t) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 t) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (*.f64 (*.f64 (*.f64 -1/2 y) z) (-.f64 (*.f64 (*.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 -1/2 y) z) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (*.f64 (*.f64 (*.f64 -1/2 y) z) (-.f64 (*.f64 (*.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 t t (*.f64 (*.f64 (*.f64 -1/2 y) z) (-.f64 (*.f64 (*.f64 -1/2 y) z) t))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (*.f64 (*.f64 (*.f64 -1/2 y) z) (-.f64 (*.f64 (*.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 y) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 t (*.f64 (*.f64 -1/2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 -1/2 y) z) 0) t)))))

simplify3.2s (12.5%)

Algorithm

1×

egglog

Counts

81 → 61

Calls

Call 1

Inputs
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 -1/2 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 y) z t)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 y) z t) 2)) (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) (.f64 (cbrt.f64 t) (-.f64 (cbrt.f64 t) (cbrt.f64 (.f64 (.f64 -1/2 y) z))))) (+.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 t 2)) (.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (-.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))) (+.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))
(.f64 1 (fma.f64 (.f64 -1/2 y) z t))
(.f64 (fma.f64 (.f64 -1/2 y) z t) 1)
(-.f64 (.f64 (.f64 -1/2 y) z) (neg.f64 t))
(/.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 z (*.f64 -1/2 y) t)
(fma.f64 -1/2 (*.f64 y z) t)
(fma.f64 y (*.f64 -1/2 z) t)
(fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (pow.f64 z 2)) (.f64 -1/2 y)) t)
(fma.f64 (*.f64 -1/2 z) y t)
(fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 1/4) (.f64 y z)) t)
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 y 2))) z) t)
(fma.f64 (.f64 (.f64 -1/2 y) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 2)) t)
(fma.f64 (*.f64 y z) -1/2 t)
(fma.f64 (.f64 z (cbrt.f64 (.f64 -1/2 y))) (cbrt.f64 (*.f64 1/4 (pow.f64 y 2))) t)
(fma.f64 1 (.f64 (.f64 -1/2 y) z) t)
(fma.f64 1 t (.f64 (.f64 -1/2 y) z))
(fma.f64 (.f64 (.f64 -1/2 y) z) 1 t)
(fma.f64 t 1 (.f64 (.f64 -1/2 y) z))
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) t)
(fma.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 t 2)) (.f64 (.f64 -1/2 y) z))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) (cbrt.f64 (.f64 (.f64 -1/2 y) z)) t)
(fma.f64 (cbrt.f64 (pow.f64 t 2)) (cbrt.f64 t) (.f64 (.f64 -1/2 y) z))
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 3) 1/3)
(pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) 3)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 3))
(neg.f64 (-.f64 (.f64 1/2 (.f64 y z)) t))
(if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (.f64 (fma.f64 t (/.f64 (/.f64 -2 y) z) 1) (.f64 (.f64 -1/2 y) z)) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t))) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 t 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (-.f64 (.f64 (.f64 -1/2 y) z) t) 0) (/.f64 (fma.f64 t t (.f64 -1/4 (pow.f64 (.f64 y z) 2))) (-.f64 t (.f64 (.f64 -1/2 y) z))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (-.f64 t (.f64 (.f64 -1/2 y) z)) 0) (/.f64 (fma.f64 t t (.f64 -1/4 (pow.f64 (.f64 y z) 2))) (-.f64 t (.f64 (.f64 -1/2 y) z))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 t 0) (.f64 (/.f64 (fma.f64 (.f64 -1/2 y) z t) t) t) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (neg.f64 t) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(+.f64 (.f64 (.f64 -1/2 y) z) t)
(+.f64 t (.f64 (.f64 -1/2 y) z))
(+.f64 (-.f64 (.f64 (.f64 -1/2 y) z) 0) t)

Outputs
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 -1/2 (.f64 y z))
(.f64 z (.f64 -1/2 y))
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
t
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (.f64 -1/2 (.f64 y z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 y) z t)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 2)))
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/2 y) z t) 2)) (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)))
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) (.f64 (cbrt.f64 t) (-.f64 (cbrt.f64 t) (cbrt.f64 (.f64 (.f64 -1/2 y) z))))) (+.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 (+.f64 (cbrt.f64 (pow.f64 t 2)) (.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (-.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))) (+.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 t)))
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 1 (fma.f64 (.f64 -1/2 y) z t))
(fma.f64 (*.f64 -1/2 y) z t)
(.f64 (fma.f64 (.f64 -1/2 y) z t) 1)
(fma.f64 (*.f64 -1/2 y) z t)
(-.f64 (.f64 (.f64 -1/2 y) z) (neg.f64 t))
(fma.f64 (*.f64 -1/2 y) z t)
(/.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 z (*.f64 -1/2 y) t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 -1/2 (*.f64 y z) t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 y (*.f64 -1/2 z) t)
(fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (pow.f64 z 2)) (.f64 -1/2 y)) t)
(fma.f64 (cbrt.f64 z) (.f64 y (cbrt.f64 (.f64 (*.f64 z z) -1/8))) t)
(fma.f64 (*.f64 -1/2 z) y t)
(fma.f64 y (*.f64 -1/2 z) t)
(fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 1/4) (.f64 y z)) t)
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 y 2))) z) t)
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (.f64 (cbrt.f64 (pow.f64 (*.f64 y 1/2) 2)) z) t)
(fma.f64 (.f64 (.f64 -1/2 y) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z 2)) t)
(fma.f64 (.f64 -1/2 (.f64 y (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2) t)
(fma.f64 (*.f64 y z) -1/2 t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 (.f64 z (cbrt.f64 (.f64 -1/2 y))) (cbrt.f64 (*.f64 1/4 (pow.f64 y 2))) t)
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/2 y)) z) (cbrt.f64 (pow.f64 (*.f64 y 1/2) 2)) t)
(fma.f64 1 (.f64 (.f64 -1/2 y) z) t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 1 t (.f64 (.f64 -1/2 y) z))
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 (.f64 (.f64 -1/2 y) z) 1 t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 t 1 (.f64 (.f64 -1/2 y) z))
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/2 y) z)) (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 (cbrt.f64 t) (cbrt.f64 (pow.f64 t 2)) (.f64 (.f64 -1/2 y) z))
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 2)) (cbrt.f64 (.f64 (.f64 -1/2 y) z)) t)
(fma.f64 (*.f64 -1/2 y) z t)
(fma.f64 (cbrt.f64 (pow.f64 t 2)) (cbrt.f64 t) (.f64 (.f64 -1/2 y) z))
(fma.f64 (*.f64 -1/2 y) z t)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 3) 1/3)
(fma.f64 (*.f64 -1/2 y) z t)
(pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 1)
(fma.f64 (*.f64 -1/2 y) z t)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/2 y) z t)) 3)
(fma.f64 (*.f64 -1/2 y) z t)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/2 y) z t) 3))
(fma.f64 (*.f64 -1/2 y) z t)
(neg.f64 (-.f64 (.f64 1/2 (.f64 y z)) t))
(fma.f64 (*.f64 -1/2 y) z t)
(if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (.f64 z (.f64 -1/2 y)) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (/.f64 (.f64 y z) 2) (fma.f64 1/2 (.f64 y z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (.f64 (fma.f64 t (/.f64 (/.f64 -2 y) z) 1) (.f64 (.f64 -1/2 y) z)) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 (.f64 z (.f64 -1/2 y)) 0) (.f64 (.f64 z (.f64 -1/2 y)) (fma.f64 t (/.f64 -2 (.f64 y z)) 1)) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t))) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 (fma.f64 t t (.f64 (/.f64 (.f64 y z) 2) (fma.f64 1/2 (.f64 y z) t))) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (/.f64 (.f64 y z) 2) (fma.f64 1/2 (.f64 y z) t)))) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 t 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 t 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (/.f64 (.f64 y z) 2) (fma.f64 1/2 (.f64 y z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (-.f64 (.f64 (.f64 -1/2 y) z) t) 0) (/.f64 (fma.f64 t t (.f64 -1/4 (pow.f64 (.f64 y z) 2))) (-.f64 t (.f64 (.f64 -1/2 y) z))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (-.f64 (.f64 z (.f64 -1/2 y)) t) 0) (/.f64 (fma.f64 t t (.f64 -1/4 (pow.f64 (.f64 y z) 2))) (fma.f64 1/2 (.f64 y z) t)) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 (-.f64 t (.f64 (.f64 -1/2 y) z)) 0) (/.f64 (fma.f64 t t (.f64 -1/4 (pow.f64 (.f64 y z) 2))) (-.f64 t (.f64 (.f64 -1/2 y) z))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (fma.f64 1/2 (.f64 y z) t) 0) (/.f64 (fma.f64 t t (.f64 -1/4 (pow.f64 (.f64 y z) 2))) (fma.f64 1/2 (.f64 y z) t)) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 t 0) (.f64 (/.f64 (fma.f64 (.f64 -1/2 y) z t) t) t) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 t 0) (.f64 (fma.f64 (.f64 -1/2 y) z t) (/.f64 t t)) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (neg.f64 t) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 (neg.f64 t) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (/.f64 (.f64 y z) 2) (fma.f64 1/2 (.f64 y z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (.f64 (.f64 -1/2 y) z) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (.f64 -1/2 y) z t))
(if (!=.f64 (.f64 z (.f64 -1/2 y)) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (/.f64 (.f64 y z) 2) (fma.f64 1/2 (.f64 y z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/2 y) z) 3) (neg.f64 (pow.f64 t 3))) (fma.f64 t t (.f64 (.f64 (.f64 -1/2 y) z) (-.f64 (.f64 (.f64 -1/2 y) z) t)))) (fma.f64 (*.f64 -1/2 y) z t))
(if (!=.f64 (fma.f64 t t (.f64 (/.f64 (.f64 y z) 2) (fma.f64 1/2 (.f64 y z) t))) 0) (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 y z) 3) (pow.f64 t 3)) (fma.f64 t t (.f64 (/.f64 (.f64 y z) 2) (fma.f64 1/2 (.f64 y z) t)))) (fma.f64 (.f64 -1/2 y) z t))
(+.f64 (.f64 (.f64 -1/2 y) z) t)
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 t (.f64 (.f64 -1/2 y) z))
(fma.f64 (*.f64 -1/2 y) z t)
(+.f64 (-.f64 (.f64 (.f64 -1/2 y) z) 0) t)
(fma.f64 (*.f64 -1/2 y) z t)

localize26.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 45 to 23 computations (48.9% saved)

series23.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

Compiler

Compiled 2025 to 1035 computations (48.9% saved)

rewrite2.3s (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

73×	`egg-rr`
50×	`egg-rr`

Counts

2 → 123

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .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 (cbrt.f64 z) (.f64 (cbrt.f64 (pow.f64 z 2)) (.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 4) (.f64 (cbrt.f64 16) (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z y)) (.f64 4 (cbrt.f64 (pow.f64 (.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 16) (.f64 z y)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 z 2)) (.f64 4 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 4 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 4 (.f64 z y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 16) (.f64 (.f64 z y) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 4 (.f64 z y)) 2)) (cbrt.f64 (.f64 4 (.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 z y) 2)) (cbrt.f64 (.f64 64 (.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 z y) (cbrt.f64 4)) (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 4 (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 4 (.f64 z y)) 2)) (+.f64 0 (.f64 (cbrt.f64 (.f64 4 (.f64 z y))) 0))) (-.f64 (cbrt.f64 (.f64 4 (.f64 z y))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 4 (.f64 z y)) 2)) (-.f64 0 (.f64 (cbrt.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 x (.f64 4 (.f64 z y)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 z y)) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 4 (.f64 z y)) 2)) (.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (.f64 4 (.f64 z y))) (cbrt.f64 x)))) (-.f64 (cbrt.f64 (.f64 4 (.f64 z y))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 4 (.f64 z y)) x)) (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 z y)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 z y)) x) 2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 4 (.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 4 (.f64 z y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 z y)) x) 2)) (.f64 0 (cbrt.f64 (-.f64 x (.f64 4 (.f64 z y))))))) 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Outputs

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simplify2.0s (7.9%)

Algorithm

1×

egglog

Details

analyze342.0ms (1.4%)

sample1.1s (4.2%)

preprocess3.9s (15.4%)

simplify1.9s (7.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize19.0ms (0.1%)

series23.0ms (0.1%)

rewrite2.5s (9.7%)

simplify6.3s (24.8%)

eval124.0ms (0.5%)

prune47.0ms (0.2%)

localize6.0ms (0%)

localize10.0ms (0%)

series8.0ms (0%)

rewrite1.6s (6.2%)

simplify3.2s (12.5%)

localize26.0ms (0.1%)

series23.0ms (0.1%)

rewrite2.3s (9.3%)

simplify2.0s (7.9%)

end0.0ms (0%)

Profiling