Details

analyze172.0ms (7.7%)

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
36.7%	34.3%	59.3%	0.1%	6.2%	0%	0%	10
44.2%	40.6%	51.3%	0.1%	8%	0%	0%	11
52.6%	48%	43.2%	0.1%	8.7%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample906.0ms (40.5%)

Results

767.0ms	8256×	body	256	valid
127.0ms	1226×	body	256	infinite

Bogosity

preprocess85.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

865×	`fma-neg_binary64`
384×	`fma-def_binary64`
156×	`unsub-neg_binary64`
141×	`distribute-rgt-in_binary64`
108×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	31	32
2	73	32
3	176	32
4	317	32
5	652	32
6	1270	32
7	2023	32
8	2752	32
9	2915	32
10	2943	32
11	2943	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify27.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

272×	`fma-def_binary64`
251×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
54×	`distribute-rgt-in_binary64`
41×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	52	8
4	100	8
5	171	8
6	283	8
7	482	8
8	873	8
9	1114	8
10	1214	8
11	1221	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.4%)

Counts

1 → 24

Calls

9 calls:

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

Compiler

Compiled 390 to 270 computations (30.8% saved)

rewrite42.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify47.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

646×	`log-prod_binary64`
617×	`fma-def_binary64`
369×	`associate-l_binary64`
335×	`associate-r_binary64`
244×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	327
1	162	327
2	512	327
3	3101	327
4	6438	327

Stop Event

1×	node limit

Counts

43 → 30

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 337 to 144 computations (57.3% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Error

0.0b

Counts

31 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (+.f64 (.f64 z y) (.f64 z (neg.f64 x))))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
▶	21.1b	(+.f64 x (*.f64 z (neg.f64 x)))
▶	15.0b	(+.f64 x (*.f64 z y))

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize5.0ms (0.2%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series6.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 254 to 198 computations (22% saved)

rewrite44.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
575×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	134	5
2	2006	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify43.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-neg_binary64`
558×	`div-sub_binary64`
551×	`associate-/l*_binary64`
389×	`associate-/r*_binary64`
213×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	760
1	245	639
2	929	555
3	5250	555

Stop Event

1×	node limit

Counts

62 → 59

Calls

Call 1

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

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

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 33 to 8 computations (75.8% saved)

series8.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 422 to 302 computations (28.4% saved)

rewrite46.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
772×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2564	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify53.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-neg_binary64`
307×	`fma-def_binary64`
250×	`log-prod_binary64`
220×	`div-sub_binary64`
194×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1077
1	337	893
2	1297	789
3	5213	789

Stop Event

1×	node limit

Counts

80 → 65

Calls

Call 1

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

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

eval24.0ms (1.1%)

Compiler: Compiled 1688 to 626 computations (62.9% saved)

prune20.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	122	6	128

Error

0.0b

Counts

128 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.1b	(-.f64 x (*.f64 z x))
▶	0.0b	(+.f64 x (-.f64 (.f64 z y) (.f64 z x)))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
✓	15.0b	(+.f64 x (*.f64 z y))
▶	48.1b	(*.f64 (neg.f64 z) x)
	35.4b	x

Compiler

Compiled 49 to 31 computations (36.7% saved)

localize4.0ms (0.2%)

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 7 computations (75% saved)

series6.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 414 to 294 computations (29% saved)

rewrite49.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
819×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2300	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify46.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-def_binary64`
668×	`times-frac_binary64`
379×	`associate-/l*_binary64`
307×	`cancel-sign-sub-inv_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1017
1	420	955
2	1672	896

Stop Event

1×	node limit

Counts

89 → 72

Calls

Call 1

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

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

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 238 to 182 computations (23.5% saved)

rewrite40.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1654	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify48.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-neg_binary64`
526×	`fma-def_binary64`
320×	`times-frac_binary64`
215×	`associate-/l*_binary64`
181×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	580
1	305	550
2	1160	550
3	5706	550

Stop Event

1×	node limit

Counts

64 → 51

Calls

Call 1

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

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

eval24.0ms (1.1%)

Compiler: Compiled 1939 to 601 computations (69% saved)

prune20.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	122	7	129

Error

Counts

129 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.1b	(-.f64 x (*.f64 z x))
▶	0.1b	(+.f64 x (fma.f64 z (-.f64 y x) (fma.f64 (neg.f64 x) z (*.f64 z x))))
✓	0.0b	(+.f64 x (-.f64 (.f64 z y) (.f64 z x)))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
✓	15.0b	(+.f64 x (*.f64 z y))
✓	48.1b	(*.f64 (neg.f64 z) x)
	35.4b	x

Compiler

Compiled 66 to 40 computations (39.4% saved)

localize13.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (-.f64 y x) (fma.f64 (neg.f64 x) z (*.f64 z x)))
✓	51.3b	(fma.f64 (neg.f64 x) z (*.f64 z x))

Compiler

Compiled 47 to 9 computations (80.9% saved)

series14.0ms (0.6%)

Counts

2 → 60

Calls

15 calls:

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

Compiler

Compiled 804 to 563 computations (30% saved)

rewrite54.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
846×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	193	21
2	2685	21

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify23.0ms (1%)

Algorithm

1×	egg-herbie

Rules

131×	`fma-def_binary64`
109×	`associate-r_binary64`
90×	`associate-l_binary64`
50×	`distribute-rgt-in_binary64`
49×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	827
1	360	827
2	2223	827

Stop Event

1×

unsound

Counts

102 → 59

Calls

Call 1

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

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

eval13.0ms (0.6%)

Compiler: Compiled 993 to 309 computations (68.9% saved)

prune10.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	59	7	66

Error

Counts

66 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.1b	(-.f64 x (*.f64 z x))
✓	0.1b	(+.f64 x (fma.f64 z (-.f64 y x) (fma.f64 (neg.f64 x) z (*.f64 z x))))
✓	0.0b	(+.f64 x (-.f64 (.f64 z y) (.f64 z x)))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
✓	15.0b	(+.f64 x (*.f64 z y))
✓	48.1b	(*.f64 (neg.f64 z) x)
	35.4b	x

Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes27.0ms (1.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
7.0ms	x
5.0ms	y
5.0ms	z

Results

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

Compiler

Compiled 86 to 37 computations (57% saved)

regimes42.0ms (1.9%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
13.0ms	x
13.0ms	y

Results

Error	Segments	Branch
8.6b	3	`x`
7.9b	3	`y`
10.7b	3	`z`

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch25.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.794316329055393e+24	6.656267659888089e+27
13.0ms	-1.149756232658117e+26	-2.8193327722020287e+23

Results

22.0ms	256×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 304 to 203 computations (33.2% saved)

regimes23.0ms (1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
6.0ms	z
3.0ms	y

Results

Error	Segments	Branch
12.6b	3	`x`
15.0b	1	`y`
12.1b	2	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch14.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	2.445416525238844e-6	9134.279672696961

Results

12.0ms

144×

body

256

valid

Compiler

Compiled 169 to 119 computations (29.6% saved)

regimes27.0ms (1.2%)

Accuracy

Total -40.2b remaining (-184.7%)

Threshold costs -40.2b (-184.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
8.0ms	z
8.0ms	x

Results

Error	Segments	Branch
32.5b	3	`x`
34.4b	3	`y`
21.7b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch32.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.0137383709752594e-11	2.445416525238844e-6
18.0ms	-4266169.684303526	-4.783005926315238e-12

Results

29.0ms

304×

body

256

valid

Compiler

Compiled 263 to 201 computations (23.6% saved)

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	88
1	43	88
2	54	88
3	59	88
4	61	88

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 y -284999999999999997902848) (+.f64 x (.f64 z y)) (if (<=.f64 y 3800000000000000150994944) (-.f64 x (.f64 z x)) (+.f64 x (*.f64 z y))))
(if (<=.f64 z 9000) (+.f64 x (.f64 z y)) (.f64 (neg.f64 z) x))
(if (<=.f64 z -1) (.f64 (neg.f64 z) x) (if (<=.f64 z 2833419889721787/1180591620717411303424) x (.f64 (neg.f64 z) x)))
x

Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 y -284999999999999997902848) (+.f64 x (.f64 z y)) (if (<=.f64 y 3800000000000000150994944) (-.f64 x (.f64 z x)) (+.f64 x (*.f64 z y))))
(if (<=.f64 y -284999999999999997902848) (+.f64 x (.f64 y z)) (if (<=.f64 y 3800000000000000150994944) (-.f64 x (.f64 x z)) (+.f64 x (*.f64 y z))))
(if (<=.f64 z 9000) (+.f64 x (.f64 z y)) (.f64 (neg.f64 z) x))
(if (<=.f64 z 9000) (+.f64 x (.f64 y z)) (.f64 x (neg.f64 z)))
(if (<=.f64 z -1) (.f64 (neg.f64 z) x) (if (<=.f64 z 2833419889721787/1180591620717411303424) x (.f64 (neg.f64 z) x)))
(if (<=.f64 z -1) (.f64 x (neg.f64 z)) (if (<=.f64 z 2833419889721787/1180591620717411303424) x (.f64 x (neg.f64 z))))
x

Compiler

Compiled 76 to 43 computations (43.4% saved)

soundness0.0ms (0%)

end59.0ms (2.6%)

Compiler: Compiled 64 to 27 computations (57.8% saved)

Details

analyze172.0ms (7.7%)

sample906.0ms (40.5%)

preprocess85.0ms (3.8%)

simplify27.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.4%)

series8.0ms (0.4%)

rewrite42.0ms (1.9%)

simplify47.0ms (2.1%)

eval5.0ms (0.2%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

localize8.0ms (0.3%)

series6.0ms (0.3%)

rewrite44.0ms (2%)

simplify43.0ms (1.9%)

localize9.0ms (0.4%)

series8.0ms (0.3%)

rewrite46.0ms (2.1%)

simplify53.0ms (2.4%)

eval24.0ms (1.1%)

prune20.0ms (0.9%)

localize4.0ms (0.2%)

localize8.0ms (0.4%)

series6.0ms (0.3%)

rewrite49.0ms (2.2%)

simplify46.0ms (2.1%)

localize7.0ms (0.3%)

series4.0ms (0.2%)

rewrite40.0ms (1.8%)

simplify48.0ms (2.2%)

eval24.0ms (1.1%)

prune20.0ms (0.9%)

localize13.0ms (0.6%)

series14.0ms (0.6%)

rewrite54.0ms (2.4%)

simplify23.0ms (1%)

eval13.0ms (0.6%)

prune10.0ms (0.5%)

regimes27.0ms (1.2%)

regimes42.0ms (1.9%)

bsearch25.0ms (1.1%)

regimes23.0ms (1%)

bsearch14.0ms (0.6%)

regimes27.0ms (1.2%)

bsearch32.0ms (1.4%)

simplify28.0ms (1.2%)

soundness0.0ms (0%)

end59.0ms (2.6%)

Profiling