Details

analyze160.0ms (8.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
46.5%	43.7%	50.3%	0.1%	5.9%	0%	0%	11
55.2%	51.9%	42.1%	0.1%	5.9%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample967.0ms (50.9%)

Results

906.0ms	8256×	body	256	valid
49.0ms	597×	body	256	infinite

Bogosity

preprocess27.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

372×	`fma-def`
162×	`associate-+r+`
126×	`associate-+l+`
108×	`associate-+l-`
92×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	33	52
2	62	52
3	102	52
4	151	52
5	363	52
6	662	52
7	770	52
8	906	52
9	921	52
10	924	52
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

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

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

Symmetry

(sort y z)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify22.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

144×	`fma-def`
70×	`+-commutative`
68×	`associate--r+`
66×	`associate-+l-`
50×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	14	13
2	26	13
3	45	13
4	62	13
5	106	13
6	182	13
7	231	13
8	318	13
9	475	13
10	521	13
11	527	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

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

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`add-sqr-sqrt`
1672×	`*-un-lft-identity`
1558×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	13
2	2070	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify60.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1036×	`associate-+l+`
816×	`fma-def`
802×	`associate-/l/`
678×	`associate-/r/`
554×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1217
1	298	1167
2	1311	1167
3	4993	1167

Stop Event

1×	node limit

Counts

75 → 49

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 (.f64 -1 (.f64 y z)) x)
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (.f64 (.f64 y (neg.f64 z)) 1))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 z) y (.f64 y z)))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 y) z (.f64 y z)))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(.f64 (-.f64 x (.f64 y z)) 1)
(.f64 1 (-.f64 x (.f64 y z)))
(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (/.f64 1 (+.f64 x (.f64 y z))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (*.f64 y z))))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(/.f64 1 (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y z) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (.f64 y z)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (neg.f64 z)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z))) (.f64 x (*.f64 y (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (-.f64 x (.f64 y z))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y (neg.f64 z)))

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) x)
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (.f64 (.f64 y (neg.f64 z)) 1))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 z) y (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 y) z (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 y (neg.f64 z)) x)
(-.f64 x (*.f64 y z))
(.f64 (-.f64 x (.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(.f64 1 (-.f64 x (.f64 y z)))
(-.f64 x (*.f64 y z))
(.f64 (sqrt.f64 (-.f64 x (.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(-.f64 x (*.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (/.f64 1 (+.f64 x (.f64 y z))))
(-.f64 x (*.f64 y z))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (*.f64 y z))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (+.f64 x (.f64 y z)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y z) 2))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (.f64 y z)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 y z))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (neg.f64 z)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z))) (.f64 x (*.f64 y (neg.f64 z))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (+.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (*.f64 y z) (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(-.f64 x (*.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(-.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(-.f64 x (*.f64 y z))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(-.f64 x (*.f64 y z))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))
(-.f64 x (*.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(-.f64 x (*.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (.f64 (log.f64 (-.f64 x (.f64 y z))) 1))
(-.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y (neg.f64 z)))
(-.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)) (*.f64 y z))

eval47.0ms (2.5%)

Compiler: Compiled 611 to 187 computations (69.4% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

0.0b

Counts

50 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
▶	26.6b	(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
▶	35.4b	(*.f64 z (neg.f64 y))
	27.3b	x

Compiler

Compiled 41 to 22 computations (46.3% saved)

localize6.0ms (0.3%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize12.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (*.f64 y z))
✓	9.6b	(sqrt.f64 (*.f64 y z))
✓	25.9b	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))

Compiler

Compiled 55 to 9 computations (83.6% saved)

series7.0ms (0.4%)

Counts

2 → 6

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))
1.0ms	z	@	0	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))
1.0ms	z	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))
1.0ms	y	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))
1.0ms	z	@	-inf	(sqrt.f64 (*.f64 y z))

rewrite61.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1686×	`add-sqr-sqrt`
1670×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1524×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	199	30
2	2435	30

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y z))
(sqrt.f64 (*.f64 y z))

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

Outputs

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

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

simplify53.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

170×	`associate-r`
154×	`associate-l`
88×	`unswap-sqr`
80×	`sqr-pow`
76×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	535
1	298	535
2	1516	535

Stop Event

1×

unsound

Counts

69 → 65

Calls

Call 1

Inputs
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y z) (.f64 y z)))) 1)
(.f64 (sqrt.f64 (.f64 y z)) (+.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z))))
(.f64 (+.f64 (.f64 y z) (*.f64 y z)) 1)
(.f64 1 (+.f64 (.f64 y z) (*.f64 y z)))
(.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 y z))) (sqrt.f64 (+.f64 (.f64 y z) (*.f64 y z))))
(.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (*.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 y z))) 2) (cbrt.f64 (+.f64 (.f64 y z) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 y z) (.f64 y z)))
(pow.f64 (+.f64 (.f64 y z) (.f64 y z)) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 y z))) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 y z))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 y z)) 2))
(log.f64 (exp.f64 (+.f64 (.f64 y z) (.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 y z) (.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 y z)) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 y z) (.f64 y z))))
(exp.f64 (log.f64 (+.f64 (.f64 y z) (.f64 y z))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 y z) (*.f64 y z))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 y z) (.f64 y z))))
(+.f64 0 (sqrt.f64 (*.f64 y z)))
(-.f64 0 (sqrt.f64 (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y z)))) 1)
(.f64 (sqrt.f64 (.f64 y z)) 1)
(.f64 (sqrt.f64 (.f64 y z)) -1)
(.f64 1 (sqrt.f64 (.f64 y z)))
(.f64 (pow.f64 (.f64 y z) 1/4) (pow.f64 (*.f64 y z) 1/4))
(.f64 (pow.f64 (.f64 y z) 1/4) (neg.f64 (pow.f64 (*.f64 y z) 1/4)))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y z))) (cbrt.f64 (*.f64 y z)))
(.f64 (cbrt.f64 (.f64 y z)) (cbrt.f64 (sqrt.f64 (*.f64 y z))))
(.f64 (cbrt.f64 (.f64 y z)) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z)))))
(.f64 -1 (sqrt.f64 (.f64 y z)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y z))))
(.f64 (.f64 -1 (pow.f64 (.f64 y z) 1/4)) (pow.f64 (.f64 y z) 1/4))
(.f64 (.f64 -1 (sqrt.f64 y)) (sqrt.f64 z))
(.f64 (.f64 -1 (cbrt.f64 (.f64 y z))) (cbrt.f64 (sqrt.f64 (.f64 y z))))
(.f64 (neg.f64 (pow.f64 (.f64 y z) 1/4)) (pow.f64 (*.f64 y z) 1/4))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 z))
(.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (cbrt.f64 (sqrt.f64 (*.f64 y z))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y z)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y z)) 1/2))
(/.f64 (-.f64 0 (.f64 y z)) (sqrt.f64 (.f64 y z)))
(/.f64 (-.f64 0 (pow.f64 (.f64 y z) 3/2)) (+.f64 0 (+.f64 (.f64 y z) (.f64 0 (sqrt.f64 (.f64 y z))))))
(pow.f64 (*.f64 y z) 1/2)
(pow.f64 (sqrt.f64 (*.f64 y z)) 1)
(pow.f64 (pow.f64 (*.f64 y z) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) 3)
(pow.f64 (pow.f64 (*.f64 y z) 3/2) 1/3)
(neg.f64 (sqrt.f64 (*.f64 y z)))
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 y z)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y z))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))

Outputs
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 y z))
(*.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y z) (.f64 y z)))) 1)
(*.f64 y z)
(.f64 (sqrt.f64 (.f64 y z)) (+.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z))))
(*.f64 y z)
(.f64 (+.f64 (.f64 y z) (*.f64 y z)) 1)
(*.f64 y z)
(.f64 1 (+.f64 (.f64 y z) (*.f64 y z)))
(*.f64 y z)
(.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 y z))) (sqrt.f64 (+.f64 (.f64 y z) (*.f64 y z))))
(*.f64 y z)
(.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (*.f64 y z))) 2))
(*.f64 y z)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 y z))) 2) (cbrt.f64 (+.f64 (.f64 y z) (*.f64 y z))))
(*.f64 y z)
(/.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (*.f64 y z) 2))))
(*.f64 y z)
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (pow.f64 (.f64 y z) 2)) (-.f64 (.f64 y z) (.f64 y z)))
(*.f64 y z)
(pow.f64 (+.f64 (.f64 y z) (.f64 y z)) 1)
(*.f64 y z)
(pow.f64 (sqrt.f64 (+.f64 (.f64 y z) (.f64 y z))) 2)
(*.f64 y z)
(pow.f64 (cbrt.f64 (+.f64 (.f64 y z) (.f64 y z))) 3)
(*.f64 y z)
(pow.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 y z)) 3) 1/3)
(*.f64 y z)
(sqrt.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 y z)) 2))
(*.f64 y z)
(log.f64 (exp.f64 (+.f64 (.f64 y z) (.f64 y z))))
(*.f64 y z)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 y z) (.f64 y z)))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (+.f64 (.f64 y z) (.f64 y z)) 3))
(*.f64 y z)
(expm1.f64 (log1p.f64 (+.f64 (.f64 y z) (.f64 y z))))
(*.f64 y z)
(exp.f64 (log.f64 (+.f64 (.f64 y z) (.f64 y z))))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 y z) (*.f64 y z))) 1))
(*.f64 y z)
(log1p.f64 (expm1.f64 (+.f64 (.f64 y z) (.f64 y z))))
(*.f64 y z)
(+.f64 0 (sqrt.f64 (*.f64 y z)))
(*.f64 y z)
(-.f64 0 (sqrt.f64 (*.f64 y z)))
(*.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y z)))) 1)
(*.f64 y z)
(.f64 (sqrt.f64 (.f64 y z)) 1)
(*.f64 y z)
(.f64 (sqrt.f64 (.f64 y z)) -1)
(*.f64 y z)
(.f64 1 (sqrt.f64 (.f64 y z)))
(*.f64 y z)
(.f64 (pow.f64 (.f64 y z) 1/4) (pow.f64 (*.f64 y z) 1/4))
(*.f64 y z)
(.f64 (pow.f64 (.f64 y z) 1/4) (neg.f64 (pow.f64 (*.f64 y z) 1/4)))
(*.f64 y z)
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y z))) (cbrt.f64 (*.f64 y z)))
(*.f64 y z)
(.f64 (cbrt.f64 (.f64 y z)) (cbrt.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 y z)
(.f64 (cbrt.f64 (.f64 y z)) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z)))))
(*.f64 y z)
(.f64 -1 (sqrt.f64 (.f64 y z)))
(*.f64 y z)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 y z)
(.f64 (.f64 -1 (pow.f64 (.f64 y z) 1/4)) (pow.f64 (.f64 y z) 1/4))
(*.f64 y z)
(.f64 (.f64 -1 (sqrt.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 y)))
(.f64 (.f64 -1 (cbrt.f64 (.f64 y z))) (cbrt.f64 (sqrt.f64 (.f64 y z))))
(*.f64 y z)
(.f64 (neg.f64 (pow.f64 (.f64 y z) 1/4)) (pow.f64 (*.f64 y z) 1/4))
(*.f64 y z)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 y)))
(.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (cbrt.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 y z)
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y z)))
(*.f64 y z)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y z)) 1/2))
(*.f64 y z)
(/.f64 (-.f64 0 (.f64 y z)) (sqrt.f64 (.f64 y z)))
(*.f64 y z)
(/.f64 (-.f64 0 (pow.f64 (.f64 y z) 3/2)) (+.f64 0 (+.f64 (.f64 y z) (.f64 0 (sqrt.f64 (.f64 y z))))))
(*.f64 y z)
(pow.f64 (*.f64 y z) 1/2)
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) 1)
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) 1/4) 2)
(*.f64 y z)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y z))) 3)
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) 3/2) 1/3)
(*.f64 y z)
(neg.f64 (sqrt.f64 (*.f64 y z)))
(*.f64 y z)
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(*.f64 y z)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 y z)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y z)))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) 3/2))
(*.f64 y z)
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 y z)
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (.f64 y z)) 1/2))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y z))) 1))
(*.f64 y z)
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))
(*.f64 y z)

eval26.0ms (1.4%)

Compiler: Compiled 3653 to 761 computations (79.2% saved)

prune25.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	156	4	160

Error

0.0b

Counts

160 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
✓	26.6b	(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
✓	35.4b	(*.f64 z (neg.f64 y))
	27.3b	x

Compiler

Compiled 41 to 22 computations (46.3% saved)

eval0.0ms (0%)

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

prune5.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
✓	26.6b	(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
✓	35.4b	(*.f64 z (neg.f64 y))
	27.3b	x

Compiler

Compiled 41 to 22 computations (46.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y z))
✓	26.6b	(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
✓	35.4b	(*.f64 z (neg.f64 y))
	27.3b	x

Compiler

Compiled 41 to 22 computations (46.3% saved)

regimes21.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))

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

Calls

5 calls:

5.0ms	z
4.0ms	(-.f64 x (*.f64 y z))
4.0ms	x
4.0ms	y
3.0ms	(*.f64 y z)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 x (*.f64 y z))`
0.0b	1	`(*.f64 y z)`

Compiler

Compiled 58 to 29 computations (50% saved)

regimes213.0ms (11.2%)

Accuracy

Total -48.0b remaining (-348.9%)

Threshold costs -48.0b (-348.9%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

168.0ms	y
27.0ms	x
17.0ms	z

Results

Error	Segments	Branch
13.8b	5	`x`
16.1b	5	`y`
17.9b	5	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch86.0ms (4.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	2.141269866986613e-38	1.065931017328694e-31
45.0ms	9.229099429077301e-73	6.121639225543731e-70
12.0ms	6.208062719121127e-115	1.0521739025530437e-113
15.0ms	-8.393483685902501e-14	-1.74084014614674e-19

Results

81.0ms

528×

body

256

valid

Compiler

Compiled 443 to 340 computations (23.3% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
8×	`not-or`
8×	`+-commutative`
6×	`neg-mul-1`
6×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	75
1	38	75
2	49	75
3	60	73
4	67	73
5	72	73
6	73	73
7	74	73

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -215500602038799/2535301200456458802993406410752) x (if (<=.f64 x 7278257947067139/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (*.f64 z (neg.f64 y)) (if (<=.f64 x 7559313193428757/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) x (if (<=.f64 x 5297943435324523/365375409332725729550921208179070754913983135744) (*.f64 z (neg.f64 y)) x))))

Outputs
(-.f64 x (*.f64 y z))
(if (<=.f64 x -215500602038799/2535301200456458802993406410752) x (if (<=.f64 x 7278257947067139/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 z (neg.f64 y)) (if (<=.f64 x 7559313193428757/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) x (if (<=.f64 x 5297943435324523/365375409332725729550921208179070754913983135744) (.f64 z (neg.f64 y)) x))))
(if (<=.f64 x -215500602038799/2535301200456458802993406410752) x (if (<=.f64 x 7278257947067139/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 y (neg.f64 z)) (if (<=.f64 x 7559313193428757/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) x (if (<=.f64 x 5297943435324523/365375409332725729550921208179070754913983135744) (.f64 y (neg.f64 z)) x))))
(if (<=.f64 x -215500602038799/2535301200456458802993406410752) x (if (or (<=.f64 x 7278257947067139/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (and (not (<=.f64 x 7559313193428757/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896)) (<=.f64 x 5297943435324523/365375409332725729550921208179070754913983135744))) (*.f64 y (neg.f64 z)) x))
x

Compiler

Compiled 38 to 26 computations (31.6% saved)

soundness0.0ms (0%)

end26.0ms (1.4%)

Remove: (sort y z)
Compiler: Compiled 48 to 30 computations (37.5% saved)

Iter	Nodes	Cost
0	13	52
1	33	52
2	62	52
3	102	52
4	151	52
5	363	52
6	662	52
7	770	52
8	906	52
9	921	52
10	924	52
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	13
1	14	13
2	26	13
3	45	13
4	62	13
5	106	13
6	182	13
7	231	13
8	318	13
9	475	13
10	521	13
11	527	13

Iter	Nodes	Cost
0	13	52
1	33	52
2	62	52
3	102	52
4	151	52
5	363	52
6	662	52
7	770	52
8	906	52
9	921	52
10	924	52
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	13
1	14	13
2	26	13
3	45	13
4	62	13
5	106	13
6	182	13
7	231	13
8	318	13
9	475	13
10	521	13
11	527	13

Details

analyze160.0ms (8.4%)

sample967.0ms (50.9%)

preprocess27.0ms (1.4%)

simplify22.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series3.0ms (0.2%)

rewrite53.0ms (2.8%)

simplify60.0ms (3.1%)

eval47.0ms (2.5%)

prune7.0ms (0.4%)

localize6.0ms (0.3%)

localize12.0ms (0.6%)

series7.0ms (0.4%)

rewrite61.0ms (3.2%)

simplify53.0ms (2.8%)

eval26.0ms (1.4%)

prune25.0ms (1.3%)

eval0.0ms (0%)

prune5.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes21.0ms (1.1%)

regimes213.0ms (11.2%)

bsearch86.0ms (4.5%)

simplify7.0ms (0.4%)

soundness0.0ms (0%)

end26.0ms (1.4%)

Profiling

Iter	Nodes	Cost
0	13	52
1	33	52
2	62	52
3	102	52
4	151	52
5	363	52
6	662	52
7	770	52
8	906	52
9	921	52
10	924	52
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	13
1	14	13
2	26	13
3	45	13
4	62	13
5	106	13
6	182	13
7	231	13
8	318	13
9	475	13
10	521	13
11	527	13