Details

analyze173.0ms (2.1%)

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
6.2%	68.6%	25.1%	7
9.4%	65.5%	25.1%	8
14%	60.8%	25.1%	9
21.1%	41.3%	37.6%	10
24.6%	37.8%	37.6%	11
28.7%	33.7%	37.6%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample2.1s (25%)

Results

1.6s	8256×	body	256	valid
503.0ms	2709×	body	256	invalid

preprocess23.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

40×	`fma-def_binary64`
18×	`*-commutative_binary64`
12×	`associate-r_binary64`
12×	`associate-l_binary64`
8×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	48
1	59	40
2	113	40
3	149	40
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 (/.f64 1 2) (+.f64 y (.f64 x (sqrt.f64 z))))
(.f64 (/.f64 1 2) (+.f64 z (.f64 y (sqrt.f64 x))))
(.f64 (/.f64 1 2) (+.f64 x (.f64 z (sqrt.f64 y))))

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
2×	`associate-r_binary64`
2×	`associate-l_binary64`
2×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	23	10
2	38	10
3	48	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))

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

eval1.0ms (0%)

Compiler: Compiled 20 to 13 computations (35% 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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
✓	0.2b	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series32.0ms (0.4%)

Counts

2 → 25

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	y	@	-inf	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	z	@	0	(*.f64 y (sqrt.f64 z))
1.0ms	z	@	-inf	(*.f64 y (sqrt.f64 z))
1.0ms	y	@	0	(*.f64 y (sqrt.f64 z))
1.0ms	y	@	inf	(*.f64 y (sqrt.f64 z))

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`pow1_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
729×	`expm1-log1p-u_binary64`
711×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	148	13
2	1996	13

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))

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

Outputs

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	148
1	10	148
2	11	148

Stop Event

1×

saturated

Counts

71 → 49

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x

Outputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x

eval17.0ms (0.2%)

Compiler: Compiled 758 to 360 computations (52.5% saved)

prune20.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	8	50

Error

0.0b

Counts

50 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	33.0b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (*.f64 y y))))))
▶	22.2b	(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 z (*.f64 y y)))))
✓	0.1b	(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	37.6b	(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))
▶	32.9b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
	29.9b	(.f64 (/.f64 1 2) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) 2)))
▶	0.5b	(.f64 (/.f64 1 2) (+.f64 x (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) 3)))
▶	25.0b	(*.f64 (/.f64 1 2) x)

Compiler

Compiled 241 to 180 computations (25.3% saved)

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3))
	0.2b	(*.f64 y (sqrt.f64 z))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)
✓	5.9b	(cbrt.f64 (*.f64 y (sqrt.f64 z)))

Compiler

Compiled 52 to 24 computations (53.8% saved)

series133.0ms (1.6%)

Counts

3 → 51

Calls

21 calls:

Time	Variable		Point	Expression
58.0ms	z	@	0	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
25.0ms	x	@	0	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3))
15.0ms	z	@	inf	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
4.0ms	y	@	0	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
4.0ms	z	@	-inf	(cbrt.f64 (*.f64 y (sqrt.f64 z)))

rewrite100.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`pow1_binary64`
896×	`add-log-exp_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	217	21
2	2515	21

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 y (sqrt.f64 z)))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)
(+.f64 x (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3))

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

Outputs

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

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

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

simplify193.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

756×	`sqr-pow_binary64`
712×	`fma-neg_binary64`
705×	`fma-def_binary64`
508×	`unswap-sqr_binary64`
380×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	488
1	83	390
2	174	382
3	389	382
4	1295	382
5	2322	382
6	2460	382
7	2719	382
8	3030	382
9	3393	382
10	4378	382
11	5227	382
12	6274	382
13	7478	382

Stop Event

1×	node limit

Counts

142 → 102

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
x
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
x
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
x
x
x
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))) x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))) x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))) x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))) x)

Outputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (pow.f64 z 1/6)))
(*.f64 (cbrt.f64 y) (pow.f64 z 1/6))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (.f64 y (sqrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (.f64 y (sqrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (.f64 y (sqrt.f64 -1))))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 y)) 1/3))
(.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (.f64 y (sqrt.f64 -1))))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 y (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1 (sqrt.f64 z)))
(.f64 y (.f64 -1 (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 y (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1 (sqrt.f64 z)))
(.f64 y (.f64 -1 (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 y (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1 (sqrt.f64 z)))
(.f64 y (.f64 -1 (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z)))
(.f64 (.f64 y (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1 (sqrt.f64 z)))
(.f64 y (.f64 -1 (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
x
x
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (pow.f64 1 1/6) (.f64 y (sqrt.f64 z))) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))) x)
(fma.f64 (.f64 y (pow.f64 (sqrt.f64 -1) 2)) (.f64 1 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) (*.f64 y -1) x)
(fma.f64 y (neg.f64 (sqrt.f64 z)) x)
(-.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) (neg.f64 y) x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))) x)
(fma.f64 (.f64 y (pow.f64 (sqrt.f64 -1) 2)) (.f64 1 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) (*.f64 y -1) x)
(fma.f64 y (neg.f64 (sqrt.f64 z)) x)
(-.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) (neg.f64 y) x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))) x)
(fma.f64 (.f64 y (pow.f64 (sqrt.f64 -1) 2)) (.f64 1 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) (*.f64 y -1) x)
(fma.f64 y (neg.f64 (sqrt.f64 z)) x)
(-.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) (neg.f64 y) x)
(+.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (*.f64 (pow.f64 1 1/6) (sqrt.f64 z))) x)
(fma.f64 (.f64 y (pow.f64 (sqrt.f64 -1) 2)) (.f64 1 (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 z) (*.f64 y -1) x)
(fma.f64 y (neg.f64 (sqrt.f64 z)) x)
(-.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) (neg.f64 y) x)

localize14.0ms (0.2%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))
	0.2b	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 24 to 14 computations (41.7% saved)

series8.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))
1.0ms	z	@	0	(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))
1.0ms	y	@	0	(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))
1.0ms	z	@	inf	(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))
1.0ms	y	@	inf	(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
642×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	175	9
2	1828	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	108
1	11	108
2	18	108
3	20	108

Stop Event

1×

saturated

Counts

23 → 12

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))

Outputs
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.4b	(.f64 z (.f64 y y))
✓	24.8b	(sqrt.f64 (.f64 z (.f64 y y)))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`pow1_binary64`
511×	`add-sqr-sqrt_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	121	13
2	1448	13

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(sqrt.f64 (.f64 z (.f64 y y)))
(.f64 z (.f64 y y))

Outputs

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

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

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-def_binary64`
404×	`distribute-rgt-neg-out_binary64`
365×	`fma-neg_binary64`
337×	`distribute-rgt-neg-in_binary64`
318×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	248
1	21	248
2	44	248
3	86	248
4	204	248
5	634	248
6	988	248
7	1635	248
8	2039	248
9	2929	248
10	3766	248
11	4633	248
12	5763	248

Stop Event

1×	node limit

Counts

72 → 40

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)

Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y (sqrt.f64 z))
✓	3.1b	(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
	6.4b	(.f64 z (.f64 y y))
✓	28.6b	(/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x))

Compiler

Compiled 79 to 20 computations (74.7% saved)

series23.0ms (0.3%)

Counts

2 → 61

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x))
4.0ms	z	@	-inf	(/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x))
3.0ms	z	@	inf	(/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x))
2.0ms	z	@	0	(/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (.f64 y (sqrt.f64 z)) x))

rewrite139.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`fma-def_binary64`
737×	`log-prod_binary64`
402×	`fma-neg_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	277	20
2	4251	20

Stop Event

1×	node limit

Counts

2 → 306

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (neg.f64 (/.f64 x (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (/.f64 x (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) x)))))) (#(struct:change #<rule 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1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (*.f64 y y)) (/.f64 1 (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (neg.f64 (/.f64 x (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 z (*.f64 y y)) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) (neg.f64 (/.f64 x (/.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x 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x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 y y)) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 z (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 z z) (pow.f64 y 4)))) (+.f64 (fma.f64 x (neg.f64 x) (*.f64 x x)) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)) (pow.f64 x 4)) (/.f64 1 (fma.f64 z (*.f64 y y) (*.f64 x x))) (fma.f64 x (neg.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)) (pow.f64 x 4)) (/.f64 1 (fma.f64 z (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)) (pow.f64 x 4)) (/.f64 1 (fma.f64 z (*.f64 y y) (*.f64 x x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)) (pow.f64 x 4)) (/.f64 1 (fma.f64 z (*.f64 y y) (*.f64 x x))) (*.f64 (fma.f64 x (neg.f64 x) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)) (pow.f64 x 4)) (/.f64 1 (fma.f64 z (*.f64 y y) (*.f64 x x))) (+.f64 (fma.f64 x (neg.f64 x) (*.f64 x x)) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) y (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) y (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) y (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) y (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule 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y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x) (hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x) (-.f64 (*.f64 z (*.f64 y y)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) 1) y (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) 1) y (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) 1) y (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) 1) y (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 z y) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (*.f64 z (*.f64 y y)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))))

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-def_binary64`
571×	`fma-neg_binary64`
484×	`unswap-sqr_binary64`
440×	`distribute-rgt-neg-in_binary64`
334×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	585
1	30	558
2	56	558
3	116	558
4	303	558
5	1028	558
6	2125	558
7	4222	558
8	5510	558
9	6554	558
10	7249	558
11	7925	558

Stop Event

1×	node limit

Counts

367 → 314

Calls

Call 1

Inputs
x
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) z)
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) z)
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) z)
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) z)
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) z)
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))

Outputs
x
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 y 2) z))
(fma.f64 -1 (.f64 x x) (.f64 z (*.f64 y y)))
(-.f64 (.f64 y (.f64 y z)) (*.f64 x x))
(-.f64 (.f64 z (.f64 y y)) (*.f64 x x))
(neg.f64 (fma.f64 z (.f64 y y) (.f64 x x)))

eval139.0ms (1.7%)

Compiler: Compiled 12192 to 4224 computations (65.4% saved)

prune93.0ms (1.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	506	9	515
Fresh	1	1	2
Picked	0	1	1
Done	3	2	5
Total	510	13	523

Error

Counts

523 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.6b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
▶	0.2b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))))
▶	33.0b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (*.f64 y y))))))
✓	0.1b	(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
	0.4b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))
▶	38.1b	(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z)))) 3)
✓	32.9b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
▶	19.2b	(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 y (*.f64 y z)))))
	49.0b	(.f64 (/.f64 1 2) (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
	34.9b	(.f64 (/.f64 1 2) (+.f64 x (.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))))
	56.2b	(sqrt.f64 (.f64 (.f64 z (*.f64 y y)) 1/4))
✓	25.0b	(*.f64 (/.f64 1 2) x)
	38.0b	(.f64 (/.f64 1 2) (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) 3))

Compiler

Compiled 356 to 266 computations (25.3% saved)

localize41.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y)))
✓	0.3b	(*.f64 (pow.f64 z 1/4) y)
✓	0.3b	(.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y))

Compiler

Compiled 55 to 38 computations (30.9% saved)

series79.0ms (0.9%)

Counts

3 → 61

Calls

21 calls:

Time	Variable		Point	Expression
43.0ms	y	@	0	(*.f64 (pow.f64 z 1/4) y)
13.0ms	z	@	-inf	(*.f64 (pow.f64 z 1/4) y)
10.0ms	z	@	0	(*.f64 (pow.f64 z 1/4) y)
5.0ms	z	@	inf	(*.f64 (pow.f64 z 1/4) y)
1.0ms	z	@	0	(.f64 (pow.f64 z 1/4) (.f64 (pow.f64 z 1/4) y))

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`prod-diff_binary64`
471×	`log-prod_binary64`
328×	`pow-prod-down_binary64`
255×	`fma-def_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	197	20
2	2565	20

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 z 1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z 1/4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 1/4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y (sqrt.f64 z))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 y) (pow.f64 z 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 z 1/4) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 z 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 z 1/4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 z 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 z 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 z 1/4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z 1/4) y)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (*.f64 y y)) (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (/.f64 1 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 z (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (*.f64 y y) (neg.f64 (*.f64 x x))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 z 3/2) (pow.f64 y 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z 1/4) y) (pow.f64 z 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 y (sqrt.f64 z)))) (*.f64 (*.f64 (cbrt.f64 y) (pow.f64 z 1/12)) (pow.f64 z 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (cbrt.f64 (*.f64 z (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (*.f64 y y))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (pow.f64 z 1/12) (*.f64 (pow.f64 z 1/4) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (pow.f64 z 1/4) y)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 z 1/4) y)) (pow.f64 z 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z 1/8) (*.f64 (pow.f64 z 1/8) (*.f64 (pow.f64 z 1/4) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) 1) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z 1/4) (cbrt.f64 (*.f64 y (*.f64 y (sqrt.f64 z))))) (*.f64 (cbrt.f64 y) (pow.f64 z 1/12)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 z 1/4) (sqrt.f64 (*.f64 (pow.f64 z 1/4) y))) (sqrt.f64 (*.f64 (pow.f64 z 1/4) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 z 1/4) y) (cbrt.f64 (sqrt.f64 z))) (pow.f64 z 1/12) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 z 1/4) y) (pow.f64 z 1/8)) (pow.f64 z 1/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 z y) 1/2) (sqrt.f64 y) x)))))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-def_binary64`
634×	`div-sub_binary64`
610×	`fma-neg_binary64`
362×	`times-frac_binary64`
232×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	388
1	49	388
2	99	388
3	213	388
4	593	388
5	1744	388
6	5484	388

Stop Event

1×	node limit

Counts

159 → 104

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
x
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)

Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (pow.f64 z 1/4))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (pow.f64 z 1/4))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (pow.f64 z 1/4))
(.f64 y (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(.f64 (pow.f64 (.f64 1 z) 1/4) y)
(*.f64 y (pow.f64 z 1/4))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
x
x
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
	0.2b	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
558×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	9
2	1587	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y (sqrt.f64 z)))

Outputs

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

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 y z))
✓	24.8b	(sqrt.f64 (.f64 y (.f64 y z)))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`
494×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	120	13
2	1429	13

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(sqrt.f64 (.f64 y (.f64 y z)))
(.f64 y (.f64 y z))

Outputs

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

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

simplify92.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-def_binary64`
404×	`distribute-rgt-neg-out_binary64`
365×	`fma-neg_binary64`
337×	`distribute-rgt-neg-in_binary64`
318×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	248
1	21	248
2	44	248
3	86	248
4	204	248
5	634	248
6	988	248
7	1635	248
8	2039	248
9	2929	248
10	3766	248
11	4633	248
12	5763	248

Stop Event

1×	node limit

Counts

72 → 40

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)

Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))
(*.f64 (pow.f64 y 2) z)
(.f64 z (.f64 y y))
(.f64 y (.f64 y z))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y (sqrt.f64 z))
✓	3.2b	(-.f64 (.f64 x x) (.f64 z (*.f64 y y)))
	6.4b	(.f64 z (.f64 y y))
✓	28.6b	(/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (.f64 y y))))

Compiler

Compiled 99 to 24 computations (75.8% saved)

series12.0ms (0.1%)

Counts

2 → 61

Calls

18 calls:

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

rewrite136.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`log-prod_binary64`
653×	`fma-def_binary64`
288×	`fma-neg_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	284	25
2	4382	23

Stop Event

1×	node limit

Counts

2 → 215

Calls

Call 1

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

Outputs

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

837×	`fma-neg_binary64`
628×	`cancel-sign-sub-inv_binary64`
519×	`associate-/l/_binary64`
414×	`associate-/r/_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1223
1	155	1133
2	526	1112
3	2684	1088
4	7683	1088

Stop Event

1×	node limit

Counts

276 → 235

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))))
(+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (pow.f64 z 2)))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (.f64 -1 (.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z)))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))) (.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3)))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (.f64 -1 (.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z)))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))) (.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3)))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (.f64 -1 (.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (.f64 -1 (*.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z)))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (.f64 (/.f64 y (pow.f64 x 2)) (sqrt.f64 z))) (.f64 -1 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 3)))))))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))))
(+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (pow.f64 z 2)))))))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z)))))
(+.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (+.f64 (.f64 -1 (/.f64 x (.f64 (pow.f64 y 2) z))) (.f64 -1 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (pow.f64 z 2)))))))
(/.f64 1 x)
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))

Outputs
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(+.f64 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
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(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.f64 z (.f64 y (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.f64 z (.f64 y (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.f64 z (.f64 y (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(.f64 -1 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 z (.f64 y y)))
(.f64 z (neg.f64 (.f64 y y)))
(.f64 z (.f64 y (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) z)) (pow.f64 x 2))
(fma.f64 -1 (.f64 z (.f64 y y)) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 y (*.f64 y z)))
(fma.f64 z (.f64 y (neg.f64 y)) (.f64 x x))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
	0.2b	(*.f64 y (sqrt.f64 z))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z)))) 3)
✓	6.0b	(cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z))))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series18.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z)))) 3)
3.0ms	y	@	0	(cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z))))
2.0ms	z	@	0	(cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z))))
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z)))) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z)))) 3)

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`pow1_binary64`
745×	`add-log-exp_binary64`
744×	`log1p-expm1-u_binary64`
744×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	209	20
2	2112	20

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z))))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z)))) 3)

Outputs

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

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

simplify172.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

763×	`unswap-sqr_binary64`
750×	`cube-prod_binary64`
746×	`sqr-pow_binary64`
585×	`fabs-mul_binary64`
448×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	348
1	92	304
2	225	304
3	588	304
4	758	304
5	986	304
6	1532	304
7	2526	304
8	2685	304
9	2884	304
10	3397	304
11	3864	304
12	4352	304
13	4993	304
14	5810	304
15	6872	304
16	7698	304

Stop Event

1×	node limit

Counts

82 → 66

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3) (cbrt.f64 1/2)))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))

Outputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 1/2) (pow.f64 z 1/6)))
(.f64 (pow.f64 z 1/6) (.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 1/2) (pow.f64 z 1/6)))
(.f64 (pow.f64 z 1/6) (.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 1/2) (pow.f64 z 1/6)))
(.f64 (pow.f64 z 1/6) (.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 1/2) (pow.f64 z 1/6)))
(.f64 (pow.f64 z 1/6) (.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 1/2) (pow.f64 z 1/6)))
(.f64 (pow.f64 z 1/6) (.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 1/2) (pow.f64 z 1/6)))
(.f64 (pow.f64 z 1/6) (.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 1/2) (pow.f64 z 1/6)))
(.f64 (pow.f64 z 1/6) (.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 y 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 z 1/6))))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 1/2) (pow.f64 z 1/6)))
(.f64 (pow.f64 z 1/6) (.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3) (cbrt.f64 1/2)))
(.f64 (pow.f64 (neg.f64 z) 1/6) (.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 -1))) (*.f64 (cbrt.f64 1/2) (pow.f64 (neg.f64 z) 1/6)))
(.f64 (cbrt.f64 1/2) (.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3) (cbrt.f64 1/2)))
(.f64 (pow.f64 (neg.f64 z) 1/6) (.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 -1))) (*.f64 (cbrt.f64 1/2) (pow.f64 (neg.f64 z) 1/6)))
(.f64 (cbrt.f64 1/2) (.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3) (cbrt.f64 1/2)))
(.f64 (pow.f64 (neg.f64 z) 1/6) (.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 -1))) (*.f64 (cbrt.f64 1/2) (pow.f64 (neg.f64 z) 1/6)))
(.f64 (cbrt.f64 1/2) (.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))))
(.f64 (pow.f64 (.f64 -1 z) 1/6) (.f64 (pow.f64 (.f64 (sqrt.f64 -1) (*.f64 1 y)) 1/3) (cbrt.f64 1/2)))
(.f64 (pow.f64 (neg.f64 z) 1/6) (.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 -1))) (*.f64 (cbrt.f64 1/2) (pow.f64 (neg.f64 z) 1/6)))
(.f64 (cbrt.f64 1/2) (.f64 (pow.f64 (neg.f64 z) 1/6) (cbrt.f64 (*.f64 y (sqrt.f64 -1)))))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (pow.f64 1 1/6) (*.f64 y (sqrt.f64 z))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 1 (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (.f64 -1/2 y))
(.f64 (sqrt.f64 z) (.f64 y -1/2))
(.f64 y (.f64 (sqrt.f64 z) -1/2))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 1 (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (.f64 -1/2 y))
(.f64 (sqrt.f64 z) (.f64 y -1/2))
(.f64 y (.f64 (sqrt.f64 z) -1/2))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 1 (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (.f64 -1/2 y))
(.f64 (sqrt.f64 z) (.f64 y -1/2))
(.f64 y (.f64 (sqrt.f64 z) -1/2))
(.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 1 1/6) (sqrt.f64 z))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 1 (sqrt.f64 z)))))
(.f64 (sqrt.f64 z) (.f64 -1/2 y))
(.f64 (sqrt.f64 z) (.f64 y -1/2))
(.f64 y (.f64 (sqrt.f64 z) -1/2))

eval538.0ms (6.5%)

Compiler: Compiled 12277 to 5086 computations (58.6% saved)

prune183.0ms (2.2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	508	6	514
Fresh	4	1	5
Picked	1	0	1
Done	2	5	7
Total	515	12	527

Error

Counts

527 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.6b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
	37.7b	(.f64 (.f64 (*.f64 1/2 y) (pow.f64 z 1/4)) (pow.f64 z 1/4))
▶	25.1b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
✓	32.9b	(.f64 (/.f64 1 2) (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
▶	37.7b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
▶	56.2b	(.f64 1/2 (sqrt.f64 (.f64 z (*.f64 y y))))
	51.7b	(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 z (.f64 y (neg.f64 y))))))
▶	37.7b	(.f64 (/.f64 1 2) (/.f64 1 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))))
✓	19.2b	(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 y (*.f64 y z)))))
▶	49.0b	(.f64 (/.f64 1 2) (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
✓	0.1b	(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	25.0b	(*.f64 (/.f64 1 2) x)

Compiler

Compiled 288 to 224 computations (22.2% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 26 to 22 computations (15.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 x))

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`pow1_binary64`
336×	`add-sqr-sqrt_binary64`
328×	`*-un-lft-identity_binary64`
323×	`add-log-exp_binary64`
323×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	105	1
2	997	1

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))))

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (sqrt.f64 (.f64 z (*.f64 y y))))
	6.4b	(.f64 z (.f64 y y))
	24.8b	(sqrt.f64 (.f64 z (.f64 y y)))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`pow1_binary64`
645×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	161	9
2	1853	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 1/2 (sqrt.f64 (.f64 z (*.f64 y y))))

Outputs

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	108
1	16	108
2	30	108
3	34	108

Stop Event

1×

saturated

Counts

23 → 15

Calls

Call 1

Inputs
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 -1/2 (.f64 y (sqrt.f64 z)))
(.f64 -1/2 (.f64 y (sqrt.f64 z)))
(.f64 -1/2 (.f64 y (sqrt.f64 z)))
(.f64 -1/2 (.f64 y (sqrt.f64 z)))

Outputs
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 y (.f64 1/2 (sqrt.f64 z)))
(.f64 -1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 -1/2 y) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 y -1/2))
(.f64 -1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 -1/2 y) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 y -1/2))
(.f64 -1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 -1/2 y) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 y -1/2))
(.f64 -1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 -1/2 y) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 y -1/2))

localize63.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
✓	0.2b	(sqrt.f64 (/.f64 1 z))
✓	0.3b	(/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y))
✓	0.3b	(/.f64 (sqrt.f64 (/.f64 1 z)) y)

Compiler

Compiled 43 to 33 computations (23.3% saved)

series22.0ms (0.3%)

Counts

4 → 36

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/.f64 (sqrt.f64 (/.f64 1 z)) y)
2.0ms	y	@	-inf	(/.f64 (sqrt.f64 (/.f64 1 z)) y)
2.0ms	y	@	0	(/.f64 (sqrt.f64 (/.f64 1 z)) y)
1.0ms	z	@	-inf	(/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y))
1.0ms	z	@	-inf	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))

rewrite196.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
382×	`exp-prod_binary64`
340×	`prod-exp_binary64`
262×	`pow-prod-down_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	234	26
2	2796	26

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y))
(sqrt.f64 (/.f64 1 z))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 z -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z -1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 z -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z -1/2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 z -1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 z -1/2) y)) (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -2)) (cbrt.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 z)) (.f64 (pow.f64 z -1/6) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z -1/4) (.f64 (pow.f64 z -1/4) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y)) (/.f64 (pow.f64 z -1/4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (/.f64 1 z)) 1) (/.f64 (pow.f64 z -1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 z -1/4) 1) (/.f64 (pow.f64 z -1/4) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (pow.f64 z -1/2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (/.f64 1 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 z -1/4) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 z -1/4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -1/2) (/.f64 (pow.f64 z -1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (/.f64 1 z)) (sqrt.f64 y)) (/.f64 (pow.f64 z -1/6) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (sqrt.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 z -1/2) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -3/2) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 y (sqrt.f64 z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 z -1/2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 z -1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z -3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 z -1/2) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 z)) 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (.f64 -1/2 (log.f64 z)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 -1/2 (log.f64 z)) (.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 z)) 1/2) (.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (.f64 -1/2 (log.f64 z)) 1) (.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 z)) 1/2) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 -1/2 (log.f64 z)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (.f64 (neg.f64 (log.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (.f64 (*.f64 -1/2 (log.f64 z)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2) (.f64 (.f64 y (sqrt.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) (cbrt.f64 (.f64 z (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (.f64 y y))) (cbrt.f64 (.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) (sqrt.f64 (.f64 y 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 z -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (sqrt.f64 z)))) 2)) (cbrt.f64 (log.f64 (.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (sqrt.f64 z))))) (sqrt.f64 (log.f64 (.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 z (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 z -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (sqrt.f64 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 -1/2 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (.f64 (neg.f64 (log.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (neg.f64 (log.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (.f64 (.f64 -1/2 (log.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (.f64 -1/2 (log.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 z)) (.f64 (log.f64 y) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 z -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 z -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z -1/6) (cbrt.f64 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 z)) (pow.f64 z -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z -1/4) (pow.f64 z -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 z) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (.f64 -1/2 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (neg.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 z)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 z) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (log.f64 z))) 2)) (cbrt.f64 (.f64 -1/2 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 -1/2 (log.f64 z)))) (sqrt.f64 (.f64 -1/2 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 z -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -1/2 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -1/2 (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 z -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 z -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 z -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 z) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 z) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log.f64 z)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log.f64 z)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 -1/2 (log.f64 z)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 y (sqrt.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (pow.f64 z -1/2) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (pow.f64 z -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 z -1/2)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (.f64 y (sqrt.f64 z)) -2))) (cbrt.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y))) (/.f64 (pow.f64 z -1/4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 z (.f64 y y)) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 z -1/2) y) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)))) (sqrt.f64 (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 z (.f64 y y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 y (sqrt.f64 z)) 1/2)) 1) 1))))))

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

20×	`associate-/l*_binary64`
16×	`associate-/l/_binary64`
10×	`associate-/r*_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	324
1	21	288
2	33	288
3	46	288
4	46	288
5	49	288
6	65	288
7	114	288
8	127	288

Stop Event

1×

saturated

Counts

246 → 214

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))

Outputs
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 (sqrt.f64 (/.f64 1 z)) y)
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 2) (/.f64 1 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))))
	0.2b	(sqrt.f64 (/.f64 1 z))
✓	0.3b	(/.f64 1 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))))
✓	0.4b	(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

18 calls:

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

rewrite95.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
402×	`exp-prod_binary64`
308×	`pow-prod-down_binary64`
281×	`pow2_binary64`
200×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	253	22
2	2974	22

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))
(/.f64 1 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z))))
(.f64 (/.f64 1 2) (/.f64 1 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 z -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z -1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 z -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 z -1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) -1)) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 z)) (/.f64 y (pow.f64 z -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y)) (sqrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 z -1/4) (/.f64 y (pow.f64 z -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (sqrt.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 z -1/2)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 z -1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 z -1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 z -1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 z -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 z -1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 z -1/2) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z -3/2) (pow.f64 y -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -1/6) (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -3/2) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 z -1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z -3/2) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z -3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z -3/2) (pow.f64 y -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z -1/6) (cbrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2) (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 2) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (pow.f64 z -1/2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 z -1/6) (cbrt.f64 y)) -2) (cbrt.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -1/2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 y y)) -1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z -3/2) (pow.f64 y -3)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -1/6) (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (/.f64 (pow.f64 z -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 z -1/2)) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 z))))) (sqrt.f64 (log.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (sqrt.f64 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z -1/2) y)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (pow.f64 z -1/2) y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (pow.f64 z -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 (neg.f64 (pow.f64 z -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 z -1/2)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 1 y)) (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 z (*.f64 y y)) -1))) (/.f64 (pow.f64 z -1/6) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (pow.f64 z -1/4) (sqrt.f64 y))) (/.f64 (pow.f64 z -1/4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/2) (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 y) (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 y (sqrt.f64 z)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 z -1/2) y) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 y (sqrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 1/2)) 1) 1))))))

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	180
1	11	180
2	18	180
3	20	180

Stop Event

1×

saturated

Counts

148 → 126

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))

Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(.f64 (.f64 y (sqrt.f64 z)) 1/2)
(.f64 y (.f64 (sqrt.f64 z) 1/2))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 1 2) (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
	0.1b	(.f64 y (.f64 y z))
	0.2b	(*.f64 y (sqrt.f64 z))
✓	14.6b	(/.f64 (.f64 y (.f64 y z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))

Compiler

Compiled 59 to 18 computations (69.5% saved)

series19.0ms (0.2%)

Counts

2 → 50

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/.f64 (.f64 y (.f64 y z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
3.0ms	z	@	-inf	(.f64 (/.f64 1 2) (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
2.0ms	z	@	-inf	(/.f64 (.f64 y (.f64 y z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
2.0ms	z	@	inf	(.f64 (/.f64 1 2) (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
1.0ms	z	@	0	(/.f64 (.f64 y (.f64 y z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))

rewrite93.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`prod-diff_binary64`
758×	`log-prod_binary64`
385×	`fma-def_binary64`
247×	`fma-neg_binary64`
247×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	296	39
2	3933	39

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

726×	`associate-/r/_binary64`
582×	`associate-/l/_binary64`
401×	`fma-def_binary64`
342×	`times-frac_binary64`
245×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1549
1	236	1477
2	806	1381
3	3843	1303
4	7651	1303

Stop Event

1×	node limit

Counts

129 → 110

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (*.f64 y (sqrt.f64 z))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z)))) (.f64 1/2 (*.f64 y (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z)))) (.f64 1/2 (*.f64 y (sqrt.f64 z))))))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (*.f64 y (sqrt.f64 z))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z)))) (.f64 1/2 (*.f64 y (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z)))) (.f64 1/2 (*.f64 y (sqrt.f64 z))))))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 1/2 (*.f64 y (sqrt.f64 z))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z)))) (.f64 1/2 (*.f64 y (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z)))) (.f64 1/2 (*.f64 y (sqrt.f64 z))))))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))))))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))))))

Outputs
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 x z)))
(neg.f64 (.f64 (/.f64 (.f64 y y) x) z))
(*.f64 (/.f64 y (/.f64 x y)) (neg.f64 z))
(.f64 (/.f64 (.f64 y y) x) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 x z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.f64 (/.f64 (*.f64 y y) x) z)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 z (/.f64 y (/.f64 x y)))))
(.f64 (/.f64 (.f64 y y) x) (-.f64 (*.f64 (neg.f64 (pow.f64 z 3/2)) (/.f64 y x)) z))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (.f64 -1 (+.f64 (/.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3)) (/.f64 (.f64 y y) (/.f64 x z)))))
(-.f64 (-.f64 (neg.f64 (.f64 (/.f64 (.f64 y y) x) z)) (/.f64 (.f64 z (.f64 z (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) (.f64 x x)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 y (/.f64 x y)) z (.f64 (*.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(-.f64 (.f64 (/.f64 (.f64 y y) x) (-.f64 (.f64 (neg.f64 (pow.f64 z 3/2)) (/.f64 y x)) z)) (.f64 (*.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3)) (.f64 -1 (+.f64 (/.f64 (.f64 y y) (/.f64 x z)) (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(-.f64 (-.f64 (-.f64 (neg.f64 (.f64 (/.f64 (.f64 y y) x) z)) (/.f64 (.f64 z (.f64 z (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 (.f64 (pow.f64 y 5) (sqrt.f64 (pow.f64 z 5))) (pow.f64 x 4))) (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) (*.f64 x x)))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (pow.f64 z 5/2) (.f64 z (/.f64 y (/.f64 x y))))) (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 (.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x) (.f64 z (.f64 z (pow.f64 y 4))))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (*.f64 (pow.f64 z 3/2) (/.f64 y x)))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 (/.f64 x y) x) (sqrt.f64 (/.f64 1 z)) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(fma.f64 y (sqrt.f64 z) (+.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x) (/.f64 (pow.f64 x 3) (.f64 (*.f64 y y) z))))
(+.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 1 z)) x)) (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (.f64 (/.f64 x y) x) (sqrt.f64 (/.f64 1 z)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) z)))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 (/.f64 x y) x) (+.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (*.f64 y z)))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 (/.f64 x y) x) (sqrt.f64 (/.f64 1 z)) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(fma.f64 y (sqrt.f64 z) (+.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x) (/.f64 (pow.f64 x 3) (.f64 (*.f64 y y) z))))
(+.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 1 z)) x)) (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (.f64 (/.f64 x y) x) (sqrt.f64 (/.f64 1 z)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) z)))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 (/.f64 x y) x) (+.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (*.f64 y z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 x z)))
(neg.f64 (.f64 (/.f64 (.f64 y y) x) z))
(*.f64 (/.f64 y (/.f64 x y)) (neg.f64 z))
(.f64 (/.f64 (.f64 y y) x) (neg.f64 z))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(fma.f64 y (sqrt.f64 z) x)
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 1 z)) x))
(fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 (/.f64 x y) x) (sqrt.f64 (/.f64 1 z)) x))
(+.f64 (.f64 y (sqrt.f64 z)) (+.f64 (.f64 (/.f64 (pow.f64 x 2) y) (sqrt.f64 (/.f64 1 z))) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 2) z)))))
(fma.f64 y (sqrt.f64 z) (+.f64 (fma.f64 (/.f64 (.f64 x x) y) (sqrt.f64 (/.f64 1 z)) x) (/.f64 (pow.f64 x 3) (.f64 (*.f64 y y) z))))
(+.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 1 z)) x)) (/.f64 (pow.f64 x 3) (.f64 y (.f64 y z))))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 (.f64 (/.f64 x y) x) (sqrt.f64 (/.f64 1 z)) (/.f64 (/.f64 (pow.f64 x 3) (.f64 y y)) z)))
(+.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 (/.f64 x y) x) (+.f64 (sqrt.f64 (/.f64 1 z)) (/.f64 x (*.f64 y z)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 x z)))
(neg.f64 (.f64 (/.f64 (.f64 y y) x) z))
(*.f64 (/.f64 y (/.f64 x y)) (neg.f64 z))
(.f64 (/.f64 (.f64 y y) x) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 x z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.f64 (/.f64 (*.f64 y y) x) z)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 z (/.f64 y (/.f64 x y)))))
(.f64 (/.f64 (.f64 y y) x) (-.f64 (*.f64 (neg.f64 (pow.f64 z 3/2)) (/.f64 y x)) z))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (.f64 -1 (+.f64 (/.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3)) (/.f64 (.f64 y y) (/.f64 x z)))))
(-.f64 (-.f64 (neg.f64 (.f64 (/.f64 (.f64 y y) x) z)) (/.f64 (.f64 z (.f64 z (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) (.f64 x x)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 y (/.f64 x y)) z (.f64 (*.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(-.f64 (.f64 (/.f64 (.f64 y y) x) (-.f64 (.f64 (neg.f64 (pow.f64 z 3/2)) (/.f64 y x)) z)) (.f64 (*.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1 (/.f64 (.f64 (pow.f64 y 4) (.f64 z z)) (pow.f64 x 3)) (.f64 -1 (+.f64 (/.f64 (.f64 y y) (/.f64 x z)) (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))))))
(-.f64 (-.f64 (-.f64 (neg.f64 (.f64 (/.f64 (.f64 y y) x) z)) (/.f64 (.f64 z (.f64 z (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 (.f64 (pow.f64 y 5) (sqrt.f64 (pow.f64 z 5))) (pow.f64 x 4))) (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) (*.f64 x x)))
(-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (pow.f64 z 5/2) (.f64 z (/.f64 y (/.f64 x y))))) (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 (.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(-.f64 (.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x) (.f64 z (.f64 z (pow.f64 y 4))))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (*.f64 (pow.f64 z 3/2) (/.f64 y x)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x))
(neg.f64 (/.f64 (*.f64 y y) (/.f64 x z)))
(neg.f64 (.f64 (/.f64 (.f64 y y) x) z))
(*.f64 (/.f64 y (/.f64 x y)) (neg.f64 z))
(.f64 (/.f64 (.f64 y y) x) (neg.f64 z))
(+.f64 (.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) z) x)))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (neg.f64 (/.f64 (*.f64 y y) (/.f64 x z))))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3)) (.f64 (/.f64 (*.f64 y y) x) z)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (.f64 z (/.f64 y (/.f64 x y)))))
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(.f64 -1/2 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 z 3/2) (fma.f64 (/.f64 y (/.f64 x y)) z (.f64 (.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(.f64 -1/2 (+.f64 (.f64 (.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (.f64 (/.f64 (.f64 y y) x) (+.f64 z (.f64 (pow.f64 z 3/2) (/.f64 y x))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (sqrt.f64 (pow.f64 z 3)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 2) z) x)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 y 4) (pow.f64 z 2)) (pow.f64 x 3))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) (sqrt.f64 (pow.f64 z 3))) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (sqrt.f64 (pow.f64 z 5))) (.f64 -1/2 (+.f64 (/.f64 (.f64 y y) (/.f64 x z)) (/.f64 (.f64 (pow.f64 y 4) (*.f64 z z)) (pow.f64 x 3))))))
(fma.f64 (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 z 3))) (.f64 x x)) -1/2 (.f64 -1/2 (+.f64 (+.f64 (.f64 (/.f64 (.f64 y y) x) z) (/.f64 (.f64 z (.f64 z (pow.f64 y 4))) (pow.f64 x 3))) (/.f64 (.f64 (pow.f64 y 5) (sqrt.f64 (pow.f64 z 5))) (pow.f64 x 4)))))
(.f64 -1/2 (+.f64 (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (pow.f64 z 5/2) (fma.f64 (/.f64 y (/.f64 x y)) z (.f64 (.f64 z z) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))) (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) (pow.f64 z 3/2)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 y y) x) (+.f64 z (.f64 (pow.f64 z 3/2) (/.f64 y x))))) (.f64 (/.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 z (.f64 z (pow.f64 y 4))) (/.f64 (.f64 (pow.f64 y 5) (pow.f64 z 5/2)) x))))

eval247.0ms (3%)

Compiler: Compiled 9286 to 5659 computations (39.1% saved)

prune112.0ms (1.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	618	9	627
Fresh	2	0	2
Picked	1	0	1
Done	3	6	9
Total	624	15	639

Error

Counts

639 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.6b	(.f64 1/2 (.f64 y (sqrt.f64 z)))
	41.6b	(/.f64 (.f64 y 1/2) (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (*.f64 y z)))
	54.6b	(.f64 1/2 (sqrt.f64 (.f64 y (*.f64 y z))))
	37.7b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (/.f64 1 y) (sqrt.f64 z))))
	37.7b	(/.f64 (/.f64 1/2 (pow.f64 z -1/2)) (/.f64 1 y))
	35.8b	(*.f64 (/.f64 1 2) (-.f64 (+.f64 1 x) 1))
	37.7b	(/.f64 1/2 (/.f64 (pow.f64 z -1/2) y))
✓	0.1b	(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	25.1b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
✓	19.2b	(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 y (*.f64 y z)))))
	62.7b	(*.f64 (/.f64 1 2) (neg.f64 x))
	37.7b	(/.f64 (*.f64 y 1/2) (pow.f64 z -1/2))
✓	37.7b	(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
✓	25.0b	(*.f64 (/.f64 1 2) x)
	62.5b	(.f64 (/.f64 (.f64 y y) x) (*.f64 z -1/2))

Compiler

Compiled 180 to 144 computations (20% saved)

regimes139.0ms (1.7%)

Counts

32 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 1 2) x)
(*.f64 (/.f64 1 2) (neg.f64 x))
(*.f64 (/.f64 1 2) (-.f64 (+.f64 1 x) 1))
(.f64 (/.f64 (.f64 y y) x) (*.f64 z -1/2))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 1 x)))
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(/.f64 1/2 (/.f64 (pow.f64 z -1/2) y))
(/.f64 (*.f64 y 1/2) (pow.f64 z -1/2))
(.f64 1/2 (sqrt.f64 (.f64 y (*.f64 y z))))
(.f64 1/2 (sqrt.f64 (.f64 z (*.f64 y y))))
(sqrt.f64 (.f64 (.f64 z (*.f64 y y)) 1/4))
(.f64 (/.f64 1 2) (.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 1/2 (pow.f64 z -1/2)) (/.f64 1 y))
(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (/.f64 1 y) (sqrt.f64 z))))
(*.f64 (/.f64 1 2) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 1 z)) y)))
(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 y (*.f64 y z)))))
(.f64 (/.f64 1 2) (+.f64 x (sqrt.f64 (.f64 z (*.f64 y y)))))
(/.f64 (.f64 y 1/2) (/.f64 (-.f64 (.f64 y (sqrt.f64 z)) x) (*.f64 y z)))
(.f64 (/.f64 1 2) (/.f64 1 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 z)))))
(.f64 (/.f64 1 2) (/.f64 (.f64 y (.f64 y z)) (-.f64 (.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (.f64 z (.f64 y (neg.f64 y))))))
(.f64 (/.f64 1 2) (/.f64 (-.f64 (.f64 z (.f64 y y)) (.f64 x x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
(.f64 (/.f64 1 2) (/.f64 1 (/.f64 (-.f64 x (.f64 y (sqrt.f64 z))) (-.f64 (.f64 x x) (.f64 z (*.f64 y y))))))
(.f64 (.f64 (*.f64 1/2 y) (pow.f64 z 1/4)) (pow.f64 z 1/4))
(.f64 (/.f64 1 2) (+.f64 x (.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))))
(.f64 (/.f64 1 2) (+.f64 x (.f64 (pow.f64 z 1/4) (*.f64 (pow.f64 z 1/4) y))))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 y (sqrt.f64 z)))) 3)
(.f64 (/.f64 1 2) (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) 3))
(.f64 (/.f64 1 2) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) 2)))
(.f64 (/.f64 1 2) (+.f64 x (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) 3)))
(.f64 (/.f64 1 2) (+.f64 x (.f64 (*.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))

Outputs
(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))

Calls

7 calls:

20.0ms	x
19.0ms	(sqrt.f64 z)
18.0ms	(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
18.0ms	z
18.0ms	(*.f64 y (sqrt.f64 z))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))`
0.1b	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
0.1b	1	`(*.f64 y (sqrt.f64 z))`
0.1b	1	`(sqrt.f64 z)`

Compiler

Compiled 410 to 250 computations (39% saved)

regimes297.0ms (3.6%)

Counts

13 → 9

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 1 2) x)
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 1 2) x)
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 1 2) x)
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 1 2) x)
(/.f64 1/2 (/.f64 (pow.f64 z -1/2) y))

Calls

6 calls:

62.0ms	(*.f64 y (sqrt.f64 z))
59.0ms	(*.f64 y (sqrt.f64 z))
51.0ms	(sqrt.f64 z)
49.0ms	x
48.0ms	z

Results

Error	Segments	Branch
14.4b	7	`x`
14.9b	3	`y`
18.7b	6	`z`
9.7b	9	`(*.f64 y (sqrt.f64 z))`
9.7b	9	`(*.f64 y (sqrt.f64 z))`
18.7b	6	`(sqrt.f64 z)`

Compiler

Compiled 133 to 93 computations (30.1% saved)

bsearch1.0ms (0%)

Algorithm

8×	left-value

Steps

Time	Left	Right
0.0ms	4.0823259016297506e+58	7.254384442174287e+71
0.0ms	36035193171220.82	61126657373651640.0
0.0ms	5.8554713505866114e-21	1.416846316252883e-19
0.0ms	-1.6903716931155695e-34	-2.1232186337450367e-43
0.0ms	-1.20264389042974e-13	-5.339364157289995e-16
0.0ms	-1.407190693462865e+41	-2.0456881211690315e+33
0.0ms	-3.5193617612849656e+94	-5.733256864290219e+88
0.0ms	-1.0497573852993097e+120	-6.722886328375736e+110

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes477.0ms (5.7%)

Counts

6 → 9

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 1 2) x)
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 1 2) x)
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 1 2) x)
(.f64 1/2 (.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 1 2) x)
(.f64 1/2 (.f64 y (sqrt.f64 z)))

Calls

5 calls:

326.0ms	y
37.0ms	(*.f64 y (sqrt.f64 z))
32.0ms	z
31.0ms	(sqrt.f64 z)
31.0ms	x

Results

Error	Segments	Branch
14.4b	7	`x`
14.9b	3	`y`
18.7b	6	`z`
9.7b	9	`(*.f64 y (sqrt.f64 z))`
18.7b	6	`(sqrt.f64 z)`

Compiler

Compiled 71 to 55 computations (22.5% saved)

bsearch1.0ms (0%)

Algorithm

8×	left-value

Steps

Time	Left	Right
0.0ms	4.0823259016297506e+58	7.254384442174287e+71
0.0ms	36035193171220.82	61126657373651640.0
0.0ms	5.8554713505866114e-21	1.416846316252883e-19
0.0ms	-1.6903716931155695e-34	-2.1232186337450367e-43
0.0ms	-1.20264389042974e-13	-5.339364157289995e-16
0.0ms	-1.407190693462865e+41	-2.0456881211690315e+33
0.0ms	-3.5193617612849656e+94	-5.733256864290219e+88
0.0ms	-1.0497573852993097e+120	-6.722886328375736e+110

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes16.0ms (0.2%)

Accuracy

Total -38.2b remaining (-152.6%)

Threshold costs -38.2b (-152.6%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 1 2) x)

Calls

3 calls:

5.0ms	y
5.0ms	z
4.0ms	x

Results

Error	Segments	Branch
25.0b	1	`x`
25.0b	1	`y`
25.0b	1	`z`

Compiler

Compiled 53 to 42 computations (20.8% saved)

simplify162.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	315
1	58	315

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -100000000000000000620008645040778319495168) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -7922816251426434/79228162514264337593543950336) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -4676805239458889/46768052394588893382517914646921056628989841375232) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 3402823669209384448/340282366920938463463374607431768211456) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) 50000000000000) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 49999999999999998584394024780232100424968164183088578953216) (.f64 (/.f64 1 2) x) (/.f64 1/2 (/.f64 (pow.f64 z -1/2) y))))))))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -100000000000000000620008645040778319495168) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -7922816251426434/79228162514264337593543950336) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -4676805239458889/46768052394588893382517914646921056628989841375232) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 3402823669209384448/340282366920938463463374607431768211456) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) 50000000000000) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 49999999999999998584394024780232100424968164183088578953216) (.f64 (/.f64 1 2) x) (.f64 1/2 (.f64 y (sqrt.f64 z)))))))))))
(*.f64 (/.f64 1 2) x)

Outputs
(.f64 (/.f64 1 2) (+.f64 x (.f64 y (sqrt.f64 z))))
(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -100000000000000000620008645040778319495168) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -7922816251426434/79228162514264337593543950336) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -4676805239458889/46768052394588893382517914646921056628989841375232) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 3402823669209384448/340282366920938463463374607431768211456) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) 50000000000000) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 49999999999999998584394024780232100424968164183088578953216) (.f64 (/.f64 1 2) x) (/.f64 1/2 (/.f64 (pow.f64 z -1/2) y))))))))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656) (.f64 1/2 x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -100000000000000000620008645040778319495168) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -3961408125713217/39614081257132168796771975168) (.f64 1/2 x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -4676805239458889/46768052394588893382517914646921056628989841375232) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 6646139978924579/664613997892457936451903530140172288) (.f64 1/2 x) (if (<=.f64 (.f64 y (sqrt.f64 z)) 50000000000000) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 49999999999999998584394024780232100424968164183088578953216) (.f64 1/2 x) (/.f64 1/2 (/.f64 (pow.f64 z -1/2) y))))))))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -100000000000000000620008645040778319495168) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -7922816251426434/79228162514264337593543950336) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -4676805239458889/46768052394588893382517914646921056628989841375232) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 3402823669209384448/340282366920938463463374607431768211456) (.f64 (/.f64 1 2) x) (if (<=.f64 (.f64 y (sqrt.f64 z)) 50000000000000) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 49999999999999998584394024780232100424968164183088578953216) (.f64 (/.f64 1 2) x) (.f64 1/2 (.f64 y (sqrt.f64 z)))))))))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656) (.f64 1/2 x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -100000000000000000620008645040778319495168) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) -3961408125713217/39614081257132168796771975168) (.f64 1/2 x) (if (<=.f64 (.f64 y (sqrt.f64 z)) -4676805239458889/46768052394588893382517914646921056628989841375232) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 6646139978924579/664613997892457936451903530140172288) (.f64 1/2 x) (if (<=.f64 (.f64 y (sqrt.f64 z)) 50000000000000) (.f64 1/2 (.f64 y (sqrt.f64 z))) (if (<=.f64 (.f64 y (sqrt.f64 z)) 49999999999999998584394024780232100424968164183088578953216) (.f64 1/2 x) (.f64 1/2 (.f64 y (sqrt.f64 z)))))))))))
(*.f64 (/.f64 1 2) x)
(*.f64 1/2 x)

Compiler

Compiled 220 to 110 computations (50% saved)

soundness0.0ms (0%)

end237.0ms (2.8%)

Compiler: Compiled 211 to 97 computations (54% saved)