Details

analyze488.0ms (26%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
34.3%	56.9%	8.7%	10
40.6%	49.9%	9.5%	11
48%	41.9%	10.1%	12
53.2%	32.1%	14.7%	13
57.4%	27.4%	15.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.0s (53.3%)

Results

937.0ms	8256×	body	128	valid
52.0ms	605×	body	128	invalid

preprocess21.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

12×	`fma-def_binary64`
7×	`*-commutative_binary64`
6×	`distribute-lft-in_binary64`
6×	`distribute-rgt-in_binary64`
5×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	18	28
2	36	28
3	56	28
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`distribute-lft-in_binary64`
2×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	16	7
3	24	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite36.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
663×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1772	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify11.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	264
1	15	234
2	18	234

Stop Event

1×

saturated

Counts

58 → 27

Calls

Call 1

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

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

prune15.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) z)
▶	31.8b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))

Compiler

Compiled 270 to 110 computations (59.3% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (.f64 x x) (.f64 y y))
✓	10.1b	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) z)
✓	20.1b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))

series16.0ms (0.8%)

Counts

3 → 96

Calls

24 calls:

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

rewrite73.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`prod-diff_binary64`
124×	`add-sqr-sqrt_binary64`
123×	`egg-rr`
122×	`*-un-lft-identity_binary64`
122×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	233	30
2	3576	30

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

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

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

simplify41.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-l_binary64`
457×	`times-frac_binary64`
399×	`associate-/l*_binary64`
341×	`fma-def_binary64`
202×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	1164
1	50	1026
2	105	1026
3	272	1026
4	1095	918

Stop Event

1×	node limit

Counts

288 → 211

Calls

Call 1

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

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

prune82.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	211	2	213

Error

Counts

213 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) z)
✓	31.8b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) z) (-.f64 x y))

Compiler

Compiled 4892 to 1468 computations (70% saved)

regimes40.0ms (2.1%)

Accuracy

Total -30.1b remaining (-237103.7%)

Threshold costs -30.1b (-237103.7%)

Counts

8 → 1

Compiler

Compiled 103 to 56 computations (45.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (.f64 y z) (.f64 z x))

end28.0ms (1.5%)

Stop Event

1×

done

Remove

(sort x y)

Compiler

Compiled 58 to 32 computations (44.8% saved)

Details

analyze488.0ms (26%)

sample1.0s (53.3%)

preprocess21.0ms (1.1%)

simplify6.0ms (0.3%)

prune5.0ms (0.3%)

localize3.0ms (0.2%)

series5.0ms (0.2%)

rewrite36.0ms (1.9%)

simplify11.0ms (0.6%)

prune15.0ms (0.8%)

localize7.0ms (0.4%)

series16.0ms (0.8%)

rewrite73.0ms (3.9%)

simplify41.0ms (2.2%)

prune82.0ms (4.4%)

regimes40.0ms (2.1%)

simplify2.0ms (0.1%)

end28.0ms (1.5%)

Profiling