Details

analyze200.0ms (5.8%)

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
37.6%	34.3%	56.9%	0.1%	8.6%	0%	0%	10
44.8%	40.6%	49.9%	0.1%	9.4%	0%	0%	11
53.4%	48%	41.9%	0.1%	9.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.0s (30.2%)

Results

912.0ms	8254×	body	256	valid
122.0ms	1137×	body	256	infinite
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess167.0ms (4.8%)

Algorithm

2×	egg-herbie

Rules

1773×	`fma-neg_binary64`
1050×	`fma-def_binary64`
360×	`unsub-neg_binary64`
348×	`distribute-rgt-in_binary64`
333×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	30	40
2	82	40
3	226	40
4	705	40
5	1931	40
6	3353	40
7	5221	40
8	5753	40
9	5861	40
10	5861	40
11	5972	40
12	5972	40
13	7115	40
14	7115	40
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(*.f64 (+.f64 y x) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(*.f64 (+.f64 z y) (-.f64 1 x))
(*.f64 (+.f64 y z) (-.f64 1 x))
(*.f64 (+.f64 x z) (-.f64 1 y))

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
459×	`fma-def_binary64`
156×	`cancel-sign-sub-inv_binary64`
136×	`distribute-rgt-in_binary64`
117×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	82	10
4	261	10
5	701	10
6	1215	10
7	1945	10
8	2505	10
9	2838	10
10	2873	10
11	2873	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 10 to 7 computations (30% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms	x	@	inf	(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms	x	@	0	(*.f64 (+.f64 x y) (-.f64 1 z))
0.0ms	z	@	inf	(*.f64 (+.f64 x y) (-.f64 1 z))
0.0ms	y	@	inf	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite56.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`pow1_binary64`
905×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	2363	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

623×	`distribute-rgt-in_binary64`
622×	`associate-l_binary64`
617×	`distribute-lft-in_binary64`
582×	`associate-r_binary64`
378×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1012
1	369	1012
2	1262	958
3	7415	958

Stop Event

1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval39.0ms (1.1%)

Compiler: Compiled 1055 to 499 computations (52.7% saved)

prune41.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Error

Counts

73 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.9b	(/.f64 (+.f64 y x) (/.f64 (+.f64 1 z) (-.f64 1 (*.f64 z z))))
▶	33.4b	(-.f64 x (*.f64 z x))
▶	26.0b	(+.f64 y x)
▶	33.4b	(*.f64 (-.f64 1 z) x)
	38.1b	(*.f64 (+.f64 y x) (neg.f64 z))
▶	29.2b	(*.f64 y (-.f64 1 z))

Compiler

Compiled 110 to 76 computations (30.9% saved)

localize36.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 z z))
✓	0.1b	(/.f64 (+.f64 y x) (/.f64 (+.f64 1 z) (-.f64 1 (*.f64 z z))))
✓	6.4b	(/.f64 (+.f64 1 z) (-.f64 1 (*.f64 z z)))

Compiler

Compiled 43 to 21 computations (51.2% saved)

series10.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

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

rewrite69.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`prod-diff_binary64`
666×	`log-prod_binary64`
373×	`fma-def_binary64`
233×	`log-div_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	255	24
2	3968	24

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs
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Outputs

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

simplify114.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

730×	`unswap-sqr_binary64`
330×	`associate-/r/_binary64`
258×	`associate-/l/_binary64`
179×	`associate-r_binary64`
161×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	3475
1	959	3179
2	3435	2989

Stop Event

1×	node limit

Counts

205 → 245

Calls

Call 1

Inputs
1
(+.f64 1 z)
(+.f64 (pow.f64 z 2) (+.f64 1 z))
(+.f64 (pow.f64 z 2) (+.f64 1 (+.f64 (pow.f64 z 3) z)))
(/.f64 -1 z)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (+.f64 (/.f64 1 (pow.f64 z 4)) (/.f64 1 z)))))
(/.f64 -1 z)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (+.f64 (/.f64 1 (pow.f64 z 4)) (/.f64 1 z)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (pow.f64 z 2) (+.f64 1 z))) y) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (pow.f64 z 2) (+.f64 1 z))) y) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (pow.f64 z 2) (+.f64 1 z))) y) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z))
(+.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)) (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)) (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)) (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z))
(+.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)) (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)) (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)) (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (pow.f64 z 2) (+.f64 1 z))) x))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (pow.f64 z 2) (+.f64 1 z))) x))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (pow.f64 z 2) (+.f64 1 z))) x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(+.f64 (/.f64 (.f64 y (-.f64 1 (pow.f64 z 2))) (+.f64 1 z)) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(+.f64 y x)
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
1
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 0 (/.f64 1 (-.f64 1 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 z)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 z)))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 z)))
(.f64 (+.f64 1 z) (/.f64 1 (-.f64 1 (.f64 z z))))
(*.f64 (/.f64 1 (-.f64 1 z)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 z))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) (.f64 (cbrt.f64 (+.f64 1 z)) (/.f64 1 (-.f64 1 (*.f64 z z)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 z))) (/.f64 1 (sqrt.f64 (-.f64 1 z))))
(.f64 (sqrt.f64 (+.f64 1 z)) (.f64 (sqrt.f64 (+.f64 1 z)) (/.f64 1 (-.f64 1 (*.f64 z z)))))
(.f64 (fma.f64 -1 z -1) (/.f64 1 (neg.f64 (-.f64 1 (.f64 z z)))))
(.f64 (/.f64 1 (-.f64 1 (.f64 z z))) (+.f64 1 z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 z)) (-.f64 1 (.f64 z z))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 z)) 1) (/.f64 (sqrt.f64 (+.f64 1 z)) (-.f64 1 (.f64 z z))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 z z))) 2)) (/.f64 (+.f64 1 z) (cbrt.f64 (-.f64 1 (*.f64 z z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 z z))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 z))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1 z)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 z z))) 2)) (/.f64 (sqrt.f64 (+.f64 1 z)) (cbrt.f64 (-.f64 1 (*.f64 z z)))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 z z)))) (/.f64 (+.f64 1 z) (sqrt.f64 (-.f64 1 (*.f64 z z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2) (sqrt.f64 (-.f64 1 (.f64 z z)))) (/.f64 (cbrt.f64 (+.f64 1 z)) (sqrt.f64 (-.f64 1 (*.f64 z z)))))
(*.f64 (/.f64 (+.f64 1 z) (-.f64 1 (pow.f64 z 6))) (+.f64 1 (fma.f64 z z (pow.f64 z 4))))
(*.f64 (/.f64 (+.f64 1 z) (-.f64 1 (pow.f64 z 4))) (fma.f64 z z 1))
(pow.f64 (/.f64 1 (-.f64 1 z)) 1)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 z)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 z))) 2)
(pow.f64 (-.f64 1 z) -1)
(neg.f64 (/.f64 (+.f64 1 z) (neg.f64 (-.f64 1 (*.f64 z z)))))
(sqrt.f64 (pow.f64 (/.f64 1 (-.f64 1 z)) 2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 z)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 z) 3) (pow.f64 (-.f64 1 (*.f64 z z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 z))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 z))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 z))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 z))) 1))
(+.f64 0 (*.f64 (+.f64 y x) (-.f64 1 z)))
(+.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(+.f64 (.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) 1) (.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) (*.f64 z (neg.f64 z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 1 z))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 1 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 1 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 1 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 1 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (-.f64 1 z)))) 1)
(.f64 1 (.f64 (+.f64 y x) (-.f64 1 z)))
(.f64 (-.f64 1 (.f64 z z)) (/.f64 (+.f64 y x) (+.f64 1 z)))
(*.f64 (+.f64 y x) (-.f64 1 z))
(.f64 (.f64 (+.f64 y x) (-.f64 1 z)) 1)
(.f64 (cbrt.f64 (.f64 (+.f64 y x) (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (-.f64 1 z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 y x) (-.f64 1 z))) 2) (cbrt.f64 (*.f64 (+.f64 y x) (-.f64 1 z))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (.f64 (cbrt.f64 (+.f64 y x)) (-.f64 1 z)))
(.f64 (sqrt.f64 (.f64 (+.f64 y x) (-.f64 1 z))) (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 1 z))))
(.f64 (sqrt.f64 (+.f64 y x)) (.f64 (sqrt.f64 (+.f64 y x)) (-.f64 1 z)))
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (/.f64 -1 (-.f64 1 z))))
(*.f64 (-.f64 1 z) (+.f64 y x))
(.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) (-.f64 1 (.f64 z z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 (-.f64 1 z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 (-.f64 1 z))))
(.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (+.f64 y x) (/.f64 1 (-.f64 1 (.f64 z z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (+.f64 1 z)) (/.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 (-.f64 1 (.f64 z z)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (+.f64 1 z)) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 (-.f64 1 (.f64 z z)))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) 2)) (/.f64 (+.f64 y x) (/.f64 1 (cbrt.f64 (-.f64 1 z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) 2)) (cbrt.f64 (.f64 (+.f64 y x) (-.f64 1 z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 (cbrt.f64 (-.f64 1 z)))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 1 z)))) (/.f64 (+.f64 y x) (/.f64 1 (sqrt.f64 (-.f64 1 z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (/.f64 1 (sqrt.f64 (-.f64 1 z)))) (/.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 (sqrt.f64 (-.f64 1 z)))))
(.f64 (.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) 1) (-.f64 1 (*.f64 z z)))
(*.f64 (/.f64 (+.f64 y x) 1) (-.f64 1 z))
(.f64 (/.f64 (+.f64 y x) (fma.f64 -1 z -1)) (neg.f64 (-.f64 1 (.f64 z z))))
(.f64 (.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 z z))) 2)) (cbrt.f64 (-.f64 1 (.f64 z z))))
(.f64 (.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) (sqrt.f64 (-.f64 1 (.f64 z z)))) (sqrt.f64 (-.f64 1 (.f64 z z))))
(pow.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (-.f64 1 z))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 1 z))) 2)
(pow.f64 (/.f64 1 (*.f64 (+.f64 y x) (-.f64 1 z))) -1)
(neg.f64 (/.f64 (+.f64 y x) (/.f64 -1 (-.f64 1 z))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (-.f64 1 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y x) (-.f64 1 z)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 1 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (/.f64 1 (-.f64 1 z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (-.f64 1 z))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (-.f64 1 z))))
(exp.f64 (log.f64 (*.f64 (+.f64 y x) (-.f64 1 z))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 y x) (-.f64 1 z))) 1))
(fma.f64 1 (/.f64 (+.f64 y x) (+.f64 1 z)) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (+.f64 y x) (/.f64 1 (+.f64 1 z)) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) 1 (.f64 (/.f64 (+.f64 y x) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 y x) (+.f64 1 z))) (cbrt.f64 (/.f64 (+.f64 y x) (+.f64 1 z)))) (cbrt.f64 (/.f64 (+.f64 y x) (+.f64 1 z))) (.f64 (*.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) (+.f64 1 z))) (sqrt.f64 (/.f64 (+.f64 y x) (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) (+.f64 1 z)) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) (+.f64 1 z)) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (+.f64 y x) (cbrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 z))) (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 (+.f64 1 z))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 1 z))) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 z z))) (-.f64 1 z) (.f64 (*.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (+.f64 y x) (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(+.f64 1 (*.f64 z (neg.f64 z)))
(+.f64 1 (.f64 (.f64 z (neg.f64 z)) 1))
(+.f64 0 (-.f64 1 (*.f64 z z)))
(+.f64 (*.f64 z (neg.f64 z)) 1)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 z z)))) (cbrt.f64 (exp.f64 (-.f64 1 (.f64 z z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 z z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 z z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 z z))))))
(.f64 1 (-.f64 1 (.f64 z z)))
(.f64 (-.f64 1 (.f64 z z)) 1)
(.f64 (cbrt.f64 (-.f64 1 (.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 z z))) 2) (cbrt.f64 (-.f64 1 (*.f64 z z))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 z z))) (sqrt.f64 (-.f64 1 (*.f64 z z))))
(*.f64 (-.f64 1 (pow.f64 z 6)) (/.f64 1 (+.f64 1 (fma.f64 z z (pow.f64 z 4)))))
(*.f64 (-.f64 1 (pow.f64 z 4)) (/.f64 1 (fma.f64 z z 1)))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 z z (pow.f64 z 4))) (-.f64 1 (pow.f64 z 6))))
(/.f64 1 (/.f64 (fma.f64 z z 1) (-.f64 1 (pow.f64 z 4))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 1 (fma.f64 z z (pow.f64 z 4))))
(/.f64 (-.f64 1 (pow.f64 z 4)) (fma.f64 z z 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 z 6))) (neg.f64 (+.f64 1 (fma.f64 z z (pow.f64 z 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 z 4))) (neg.f64 (fma.f64 z z 1)))
(/.f64 (+.f64 1 (pow.f64 (.f64 z (neg.f64 z)) 3)) (+.f64 1 (-.f64 (.f64 (.f64 z (neg.f64 z)) (.f64 z (neg.f64 z))) (*.f64 z (neg.f64 z)))))
(/.f64 (-.f64 1 (.f64 (.f64 z (neg.f64 z)) (.f64 z (neg.f64 z)))) (-.f64 1 (.f64 z (neg.f64 z))))
(pow.f64 (-.f64 1 (*.f64 z z)) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 z z)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 z z)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 z z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 z z)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 z z)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 z z))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 z z))))
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 z))))
(exp.f64 (.f64 (log1p.f64 (.f64 z (neg.f64 z))) 1))
(fma.f64 1 (*.f64 z (neg.f64 z)) 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 (cbrt.f64 (pow.f64 z 4)) (neg.f64 (pow.f64 (cbrt.f64 z) 2)) 1)
(fma.f64 (neg.f64 z) z 1)
(fma.f64 (.f64 (cbrt.f64 (.f64 z (neg.f64 z))) (cbrt.f64 (.f64 z (neg.f64 z)))) (cbrt.f64 (.f64 z (neg.f64 z))) 1)
(fma.f64 (sqrt.f64 (.f64 z (neg.f64 z))) (sqrt.f64 (.f64 z (neg.f64 z))) 1)
(fma.f64 -1 (*.f64 z z) 1)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2) 1)
(fma.f64 (*.f64 (neg.f64 z) 1) z 1)
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) 1)
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) 1)

Outputs
1
(+.f64 1 z)
(+.f64 (pow.f64 z 2) (+.f64 1 z))
(+.f64 (fma.f64 z z 1) z)
(+.f64 z (fma.f64 z z 1))
(+.f64 (pow.f64 z 2) (+.f64 1 (+.f64 (pow.f64 z 3) z)))
(+.f64 (fma.f64 z z 1) (+.f64 z (pow.f64 z 3)))
(+.f64 (+.f64 z (fma.f64 z z 1)) (pow.f64 z 3))
(/.f64 -1 z)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z)))
(neg.f64 (+.f64 (/.f64 1 (*.f64 z z)) (/.f64 1 z)))
(+.f64 (/.f64 -1 (*.f64 z z)) (/.f64 -1 z))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 (*.f64 z z))) (/.f64 1 z)))
(-.f64 (/.f64 -1 (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 1 z) z) (/.f64 1 z)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (+.f64 (/.f64 1 (pow.f64 z 4)) (/.f64 1 z)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 (*.f64 z z))) (+.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 4)))))
(-.f64 (/.f64 -1 (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 4)))))
(-.f64 (/.f64 -1 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 (/.f64 1 z) z) (/.f64 1 z)) (/.f64 1 (pow.f64 z 4))))
(/.f64 -1 z)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z)))
(neg.f64 (+.f64 (/.f64 1 (*.f64 z z)) (/.f64 1 z)))
(+.f64 (/.f64 -1 (*.f64 z z)) (/.f64 -1 z))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (/.f64 1 z))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 (*.f64 z z))) (/.f64 1 z)))
(-.f64 (/.f64 -1 (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 1 z) z) (/.f64 1 z)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 (/.f64 1 (pow.f64 z 2)) (+.f64 (/.f64 1 (pow.f64 z 4)) (/.f64 1 z)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 z 3)) (/.f64 1 (*.f64 z z))) (+.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 4)))))
(-.f64 (/.f64 -1 (pow.f64 z 3)) (+.f64 (/.f64 (/.f64 1 z) z) (+.f64 (/.f64 1 z) (/.f64 1 (pow.f64 z 4)))))
(-.f64 (/.f64 -1 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 (/.f64 1 z) z) (/.f64 1 z)) (/.f64 1 (pow.f64 z 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 x (fma.f64 z (neg.f64 z) 1)) (+.f64 1 z))
(*.f64 (/.f64 (fma.f64 z (neg.f64 z) 1) (+.f64 1 z)) x)
(*.f64 x (/.f64 (fma.f64 z (neg.f64 z) 1) (+.f64 1 z)))
(+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (pow.f64 z 2) (+.f64 1 z))) y) (/.f64 (.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z)))
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 (.f64 z z) (+.f64 1 z))) y (/.f64 (.f64 x (fma.f64 z (neg.f64 z) 1)) (+.f64 1 z)))
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 z)) (/.f64 z (/.f64 (+.f64 1 z) z))) y (*.f64 (/.f64 (fma.f64 z (neg.f64 z) 1) (+.f64 1 z)) x))
(fma.f64 x (/.f64 (fma.f64 z (neg.f64 z) 1) (+.f64 1 z)) (*.f64 (/.f64 (fma.f64 z (neg.f64 z) 1) (+.f64 1 z)) y))
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(*.f64 (fma.f64 z (neg.f64 z) 1) (/.f64 (+.f64 x y) (+.f64 1 z)))
(/.f64 (+.f64 x y) (/.f64 (+.f64 1 z) (fma.f64 z (neg.f64 z) 1)))
(/.f64 (fma.f64 z (neg.f64 z) 1) (/.f64 (+.f64 1 z) (+.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) (+.f64 1 z))) (sqrt.f64 (/.f64 (+.f64 y x) (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(*.f64 (fma.f64 z (neg.f64 z) 1) (/.f64 (+.f64 x y) (+.f64 1 z)))
(/.f64 (+.f64 x y) (/.f64 (+.f64 1 z) (fma.f64 z (neg.f64 z) 1)))
(/.f64 (fma.f64 z (neg.f64 z) 1) (/.f64 (+.f64 1 z) (+.f64 x y)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) (+.f64 1 z)) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(*.f64 (fma.f64 z (neg.f64 z) 1) (/.f64 (+.f64 x y) (+.f64 1 z)))
(/.f64 (+.f64 x y) (/.f64 (+.f64 1 z) (fma.f64 z (neg.f64 z) 1)))
(/.f64 (fma.f64 z (neg.f64 z) 1) (/.f64 (+.f64 1 z) (+.f64 x y)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) (+.f64 1 z)) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(*.f64 (fma.f64 z (neg.f64 z) 1) (/.f64 (+.f64 x y) (+.f64 1 z)))
(/.f64 (+.f64 x y) (/.f64 (+.f64 1 z) (fma.f64 z (neg.f64 z) 1)))
(/.f64 (fma.f64 z (neg.f64 z) 1) (/.f64 (+.f64 1 z) (+.f64 x y)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (+.f64 y x) (cbrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 1 z))) (.f64 (/.f64 (+.f64 x y) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 1 z))) (.f64 z (.f64 (neg.f64 z) (/.f64 (+.f64 x y) (+.f64 1 z)))))
(-.f64 (/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 1 z))) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (.f64 (.f64 z z) (/.f64 (+.f64 x y) (+.f64 1 z))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 z))) (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 z))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 1 z))) (.f64 (/.f64 (+.f64 x y) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 z))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 1 z))) (.f64 z (.f64 (neg.f64 z) (/.f64 (+.f64 x y) (+.f64 1 z)))))
(-.f64 (/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 1 z))) (sqrt.f64 (+.f64 1 z))) (.f64 (.f64 z z) (/.f64 (+.f64 x y) (+.f64 1 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 1 z))) (.f64 (/.f64 (+.f64 x y) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 1 z))) (.f64 z (.f64 (neg.f64 z) (/.f64 (+.f64 x y) (+.f64 1 z)))))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 1 z))) 3) (.f64 (.f64 z z) (/.f64 (+.f64 x y) (+.f64 1 z))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 1 z))) (.f64 (/.f64 (+.f64 x y) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 1 z))) (.f64 z (.f64 (neg.f64 z) (/.f64 (+.f64 x y) (+.f64 1 z)))))
(-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 1 z)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 1 z)))) (.f64 (*.f64 z z) (/.f64 (+.f64 x y) (+.f64 1 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 (+.f64 1 z))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (+.f64 1 z))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z))) (.f64 (/.f64 (+.f64 x y) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (+.f64 1 z))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z))) (.f64 z (.f64 (neg.f64 z) (/.f64 (+.f64 x y) (+.f64 1 z)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (+.f64 1 z))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z))) (/.f64 (.f64 z (.f64 z (-.f64 (neg.f64 y) x))) (+.f64 1 z)))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 1 z))) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 1 z))) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z))) (.f64 (/.f64 (+.f64 x y) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z))) (.f64 z (.f64 (neg.f64 z) (/.f64 (+.f64 x y) (+.f64 1 z)))))
(-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z))) (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 1 z)))) (.f64 (*.f64 z z) (/.f64 (+.f64 x y) (+.f64 1 z))))
(fma.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 z z))) (-.f64 1 z) (.f64 (*.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 z (neg.f64 z) 1)) (-.f64 1 z) (.f64 (/.f64 (+.f64 x y) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 z (neg.f64 z) 1)) (-.f64 1 z) (.f64 z (.f64 (neg.f64 z) (/.f64 (+.f64 x y) (+.f64 1 z)))))
(-.f64 (.f64 (-.f64 1 z) (/.f64 (+.f64 x y) (fma.f64 z (neg.f64 z) 1))) (.f64 (*.f64 z z) (/.f64 (+.f64 x y) (+.f64 1 z))))
(fma.f64 (/.f64 (+.f64 y x) (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z) (.f64 (.f64 z (neg.f64 z)) (/.f64 (+.f64 y x) (+.f64 1 z))))
(fma.f64 (/.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z) (.f64 (/.f64 (+.f64 x y) (+.f64 1 z)) (.f64 z (neg.f64 z))))
(fma.f64 (/.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z) (.f64 z (.f64 (neg.f64 z) (/.f64 (+.f64 x y) (+.f64 1 z)))))
(-.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z)) (.f64 (*.f64 z z) (/.f64 (+.f64 x y) (+.f64 1 z))))
(+.f64 1 (*.f64 z (neg.f64 z)))
(fma.f64 z (neg.f64 z) 1)
(+.f64 1 (.f64 (.f64 z (neg.f64 z)) 1))
(fma.f64 z (neg.f64 z) 1)
(+.f64 0 (-.f64 1 (*.f64 z z)))
(fma.f64 z (neg.f64 z) 1)
(+.f64 (*.f64 z (neg.f64 z)) 1)
(fma.f64 z (neg.f64 z) 1)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 z z)))) (cbrt.f64 (exp.f64 (-.f64 1 (.f64 z z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 z z))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 z (neg.f64 z) 1))) (cbrt.f64 (exp.f64 (fma.f64 z (neg.f64 z) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (neg.f64 z) 1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (neg.f64 z) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (neg.f64 z) 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (neg.f64 z) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 z z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 z z))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (neg.f64 z) 1)))))
(.f64 1 (-.f64 1 (.f64 z z)))
(fma.f64 z (neg.f64 z) 1)
(.f64 (-.f64 1 (.f64 z z)) 1)
(fma.f64 z (neg.f64 z) 1)
(.f64 (cbrt.f64 (-.f64 1 (.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) 2))
(fma.f64 z (neg.f64 z) 1)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 z z))) 2) (cbrt.f64 (-.f64 1 (*.f64 z z))))
(fma.f64 z (neg.f64 z) 1)
(.f64 (sqrt.f64 (-.f64 1 (.f64 z z))) (sqrt.f64 (-.f64 1 (*.f64 z z))))
(fma.f64 z (neg.f64 z) 1)
(*.f64 (-.f64 1 (pow.f64 z 6)) (/.f64 1 (+.f64 1 (fma.f64 z z (pow.f64 z 4)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 z z (pow.f64 z 4))) (-.f64 1 (pow.f64 z 6))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 1 (fma.f64 z z (pow.f64 z 4))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 (fma.f64 z z 1) (pow.f64 z 4)))
(*.f64 (-.f64 1 (pow.f64 z 4)) (/.f64 1 (fma.f64 z z 1)))
(/.f64 (-.f64 1 (pow.f64 z 4)) (fma.f64 z z 1))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 z z (pow.f64 z 4))) (-.f64 1 (pow.f64 z 6))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 1 (fma.f64 z z (pow.f64 z 4))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 (fma.f64 z z 1) (pow.f64 z 4)))
(/.f64 1 (/.f64 (fma.f64 z z 1) (-.f64 1 (pow.f64 z 4))))
(*.f64 (-.f64 1 (pow.f64 z 4)) (/.f64 1 (fma.f64 z z 1)))
(/.f64 (-.f64 1 (pow.f64 z 4)) (fma.f64 z z 1))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 1 (fma.f64 z z (pow.f64 z 4))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 z z (pow.f64 z 4))) (-.f64 1 (pow.f64 z 6))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 (fma.f64 z z 1) (pow.f64 z 4)))
(/.f64 (-.f64 1 (pow.f64 z 4)) (fma.f64 z z 1))
(*.f64 (-.f64 1 (pow.f64 z 4)) (/.f64 1 (fma.f64 z z 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 z 6))) (neg.f64 (+.f64 1 (fma.f64 z z (pow.f64 z 4)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 z z (pow.f64 z 4))) (-.f64 1 (pow.f64 z 6))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 1 (fma.f64 z z (pow.f64 z 4))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 (fma.f64 z z 1) (pow.f64 z 4)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 z 4))) (neg.f64 (fma.f64 z z 1)))
(*.f64 (-.f64 1 (pow.f64 z 4)) (/.f64 1 (fma.f64 z z 1)))
(/.f64 (-.f64 1 (pow.f64 z 4)) (fma.f64 z z 1))
(/.f64 (+.f64 1 (pow.f64 (.f64 z (neg.f64 z)) 3)) (+.f64 1 (-.f64 (.f64 (.f64 z (neg.f64 z)) (.f64 z (neg.f64 z))) (*.f64 z (neg.f64 z)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 z z (pow.f64 z 4))) (-.f64 1 (pow.f64 z 6))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 1 (fma.f64 z z (pow.f64 z 4))))
(/.f64 (-.f64 1 (pow.f64 z 6)) (+.f64 (fma.f64 z z 1) (pow.f64 z 4)))
(/.f64 (-.f64 1 (.f64 (.f64 z (neg.f64 z)) (.f64 z (neg.f64 z)))) (-.f64 1 (.f64 z (neg.f64 z))))
(*.f64 (-.f64 1 (pow.f64 z 4)) (/.f64 1 (fma.f64 z z 1)))
(/.f64 (-.f64 1 (pow.f64 z 4)) (fma.f64 z z 1))
(pow.f64 (-.f64 1 (*.f64 z z)) 1)
(fma.f64 z (neg.f64 z) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 z z)) 3) 1/3)
(fma.f64 z (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 z z))) 3)
(fma.f64 z (neg.f64 z) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 z z))) 2)
(fma.f64 z (neg.f64 z) 1)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 z z)) 2))
(fma.f64 z (neg.f64 z) 1)
(log.f64 (exp.f64 (-.f64 1 (*.f64 z z))))
(fma.f64 z (neg.f64 z) 1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 z z)))))
(fma.f64 z (neg.f64 z) 1)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 z z)) 3))
(fma.f64 z (neg.f64 z) 1)
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 z z))))
(fma.f64 z (neg.f64 z) 1)
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 z z))))
(fma.f64 z (neg.f64 z) 1)
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 z))))
(exp.f64 (.f64 (log1p.f64 (.f64 z (neg.f64 z))) 1))
(exp.f64 (log1p.f64 (*.f64 z (neg.f64 z))))
(fma.f64 1 (*.f64 z (neg.f64 z)) 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 (cbrt.f64 (pow.f64 z 4)) (neg.f64 (pow.f64 (cbrt.f64 z) 2)) 1)
(fma.f64 (neg.f64 z) z 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 (.f64 (cbrt.f64 (.f64 z (neg.f64 z))) (cbrt.f64 (.f64 z (neg.f64 z)))) (cbrt.f64 (.f64 z (neg.f64 z))) 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 (sqrt.f64 (.f64 z (neg.f64 z))) (sqrt.f64 (.f64 z (neg.f64 z))) 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 -1 (*.f64 z z) 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2) 1)
(fma.f64 (cbrt.f64 (pow.f64 z 4)) (neg.f64 (pow.f64 (cbrt.f64 z) 2)) 1)
(fma.f64 (*.f64 (neg.f64 z) 1) z 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) 1)
(fma.f64 z (neg.f64 z) 1)
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) 1)
(fma.f64 z (neg.f64 z) 1)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 1 z))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite47.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 y (-.f64 1 z))

Outputs

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

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

540×	`log-prod_binary64`
467×	`fma-def_binary64`
372×	`distribute-rgt-neg-out_binary64`
360×	`distribute-lft-neg-out_binary64`
255×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	261
1	132	239
2	394	239
3	1967	239
4	4812	239

Stop Event

1×	node limit

Counts

29 → 32

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 z) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite62.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 (-.f64 1 z) x)

Outputs

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

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

540×	`log-prod_binary64`
470×	`fma-def_binary64`
372×	`distribute-rgt-neg-out_binary64`
351×	`distribute-lft-neg-out_binary64`
255×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	261
1	130	239
2	394	239
3	1969	239
4	4820	239

Stop Event

1×	node limit

Counts

29 → 35

Calls

Call 1

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

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

localize5.0ms (0.1%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (1.9%)

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)))))))

simplify52.0ms (1.5%)

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))

eval131.0ms (3.8%)

Compiler: Compiled 5705 to 3031 computations (46.9% saved)

prune104.0ms (3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	358	5	363
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	359	10	369

Error

Counts

369 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.2b	(/.f64 (+.f64 y x) (/.f64 -1 z))
✓	33.4b	(-.f64 x (*.f64 z x))
✓	26.0b	(+.f64 y x)
✓	33.4b	(*.f64 (-.f64 1 z) x)
▶	38.1b	(*.f64 (+.f64 y x) (neg.f64 z))
▶	50.3b	(*.f64 z (neg.f64 x))
✓	29.2b	(*.f64 y (-.f64 1 z))
▶	50.3b	(*.f64 y (neg.f64 z))
	42.0b	y
	46.3b	x

Compiler

Compiled 71 to 50 computations (29.6% saved)

localize4.0ms (0.1%)

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

localize7.0ms (0.2%)

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

localize6.0ms (0.2%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 y x) (/.f64 -1 z))

Compiler

Compiled 20 to 10 computations (50% saved)

series28.0ms (0.8%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	y	@	0	(/.f64 (+.f64 y x) (/.f64 -1 z))
1.0ms	z	@	inf	(/.f64 (+.f64 y x) (/.f64 -1 z))
1.0ms	z	@	0	(/.f64 (+.f64 y x) (/.f64 -1 z))
0.0ms	y	@	inf	(/.f64 (+.f64 y x) (/.f64 -1 z))
0.0ms	x	@	inf	(/.f64 (+.f64 y x) (/.f64 -1 z))

rewrite45.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

989×	`pow1_binary64`
918×	`add-log-exp_binary64`
918×	`log1p-expm1-u_binary64`
918×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	177	9
2	2551	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

664×	`log-prod_binary64`
636×	`log-div_binary64`
471×	`associate-*l/_binary64`
370×	`associate-*r/_binary64`
347×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	1025
1	305	749
2	1131	749
3	6876	749

Stop Event

1×	node limit

Counts

77 → 61

Calls

Call 1

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

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

eval11.0ms (0.3%)

Compiler: Compiled 673 to 300 computations (55.4% saved)

prune32.0ms (0.9%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	61	10	71

Error

Counts

71 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.2b	(/.f64 (+.f64 y x) (/.f64 -1 z))
✓	33.4b	(-.f64 x (*.f64 z x))
✓	26.0b	(+.f64 y x)
✓	33.4b	(*.f64 (-.f64 1 z) x)
✓	38.1b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	50.3b	(*.f64 z (neg.f64 x))
✓	29.2b	(*.f64 y (-.f64 1 z))
✓	50.3b	(*.f64 y (neg.f64 z))
	42.0b	y
	46.3b	x

Compiler

Compiled 71 to 50 computations (29.6% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	8	8
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.2b	(/.f64 (+.f64 y x) (/.f64 -1 z))
✓	33.4b	(-.f64 x (*.f64 z x))
✓	26.0b	(+.f64 y x)
✓	33.4b	(*.f64 (-.f64 1 z) x)
✓	38.1b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	50.3b	(*.f64 z (neg.f64 x))
✓	29.2b	(*.f64 y (-.f64 1 z))
✓	50.3b	(*.f64 y (neg.f64 z))
	42.0b	y
	46.3b	x

Compiler

Compiled 71 to 50 computations (29.6% saved)

regimes78.0ms (2.2%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))

Calls

6 calls:

40.0ms	z
8.0ms	(+.f64 x y)
8.0ms	x
7.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
7.0ms	y

Results

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

Compiler

Compiled 98 to 56 computations (42.9% saved)

regimes85.0ms (2.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	y
23.0ms	x
16.0ms	z
11.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
7.2b	4	`x`
9.6b	4	`y`
2.3b	3	`z`
2.3b	3	`(-.f64 1 z)`

Compiler

Compiled 55 to 31 computations (43.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0748895532665357	3.5996567709747502
0.0ms	-0.09370949377589022	0.7548067580963029

Compiler

Compiled 16 to 12 computations (25% saved)

regimes174.0ms (5%)

Counts

8 → 4

Calls

Call 1

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

Outputs
(*.f64 (-.f64 1 z) x)
(+.f64 y x)
(*.f64 (-.f64 1 z) x)
(*.f64 y (-.f64 1 z))

Calls

4 calls:

58.0ms	(-.f64 1 z)
52.0ms	z
31.0ms	y
30.0ms	x

Results

Error	Segments	Branch
7.5b	4	`x`
9.6b	4	`y`
13.4b	3	`z`
10.6b	7	`(-.f64 1 z)`

Compiler

Compiled 49 to 30 computations (38.8% saved)

bsearch37.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
11.0ms	-2.5113735221629074e-146	-1.8582465980848784e-147
11.0ms	-2.4799423653436827e-111	-7.83029800406819e-113
15.0ms	-1.2053842574373507e-17	-5.436558762686303e-25

Results

33.0ms

352×

body

256

valid

Compiler

Compiled 380 to 288 computations (24.2% saved)

regimes84.0ms (2.4%)

Counts

6 → 4

Calls

Call 1

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

Outputs
(*.f64 y (-.f64 1 z))
(+.f64 y x)
(*.f64 y (-.f64 1 z))
(*.f64 z (neg.f64 x))

Calls

4 calls:

23.0ms	x
23.0ms	z
23.0ms	y
14.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
14.4b	4	`x`
17.7b	4	`y`
12.6b	4	`z`
12.6b	4	`(-.f64 1 z)`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch40.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
16.0ms	1.5732693773363823e+81	4.334941645236861e+83
10.0ms	0.001257990826128162	0.007116367777895803
13.0ms	-2.17540694852123e-5	-1.0588395950428135e-8

Results

31.0ms	352×	body	256	valid
2.0ms	29×	body	256	infinite

Compiler

Compiled 376 to 284 computations (24.5% saved)

regimes68.0ms (2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	y
22.0ms	z
20.0ms	x

Results

Error	Segments	Branch
22.5b	5	`x`
23.3b	5	`y`
13.4b	4	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch42.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
16.0ms	1.5732693773363823e+81	4.334941645236861e+83
9.0ms	0.24519324190369704	1.0937094937758902
15.0ms	-18041.902146498855	-2.5996567709747502

Results

33.0ms	352×	body	256	valid
3.0ms	36×	body	256	infinite

Compiler

Compiled 354 to 262 computations (26% saved)

regimes39.0ms (1.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	y
11.0ms	z
11.0ms	x

Results

Error	Segments	Branch
24.5b	3	`x`
24.3b	3	`y`
14.4b	3	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch24.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.24519324190369704	1.0937094937758902
14.0ms	-2781096988130377700.0	-127949543242195250.0

Results

19.0ms	208×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 211 to 155 computations (26.5% saved)

regimes14.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

4.0ms	x
4.0ms	z
3.0ms	y

Results

Error	Segments	Branch
26.0b	1	`x`
26.0b	1	`y`
26.0b	1	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes32.0ms (0.9%)

Accuracy

Total -31.8b remaining (-104.4%)

Threshold costs -31.8b (-104.4%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

17.0ms	z
8.0ms	y
6.0ms	x

Results

Error	Segments	Branch
30.5b	2	`x`
31.6b	2	`y`
38.8b	5	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch11.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	-2.069383257860463e-62	-2.1292693508083968e-64

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 86 to 68 computations (20.9% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	216
1	78	216
2	100	216
3	117	216
4	126	216
5	128	216

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -3602879701896397/72057594037927936) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 x -7269215601948759/41538374868278621028243970633760768) (.f64 (-.f64 1 z) x) (if (<=.f64 x -6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (+.f64 y x) (if (<=.f64 x -5623642243178995/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))))
(if (<=.f64 z -5440166188265831/302231454903657293676544) (.f64 y (-.f64 1 z)) (if (<=.f64 z 5810724383218509/4611686018427387904) (+.f64 y x) (if (<=.f64 z 2399999999999999895326345084443627938979629944678387099460072058334642959680536576) (.f64 y (-.f64 1 z)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -420) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) (+.f64 y x) (if (<=.f64 z 58999999999999996830002997204081795545047079265877899721321230830948342317717651456) (.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -130000000000000000) (.f64 y (neg.f64 z)) (if (<=.f64 z 1) (+.f64 y x) (.f64 y (neg.f64 z))))
(+.f64 y x)
(if (<=.f64 x -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968) x y)
x

Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(if (<=.f64 (-.f64 1 z) -3602879701896397/72057594037927936) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 (-.f64 1 z) -3602879701896397/72057594037927936) (.f64 (+.f64 x y) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (.f64 (+.f64 x y) (neg.f64 z))))
(if (<=.f64 (-.f64 1 z) -3602879701896397/72057594037927936) (.f64 z (-.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (.f64 z (-.f64 (neg.f64 x) y))))
(if (<=.f64 x -7269215601948759/41538374868278621028243970633760768) (.f64 (-.f64 1 z) x) (if (<=.f64 x -6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (+.f64 y x) (if (<=.f64 x -5623642243178995/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (.f64 (-.f64 1 z) x) (*.f64 y (-.f64 1 z)))))
(if (<=.f64 x -7269215601948759/41538374868278621028243970633760768) (.f64 x (-.f64 1 z)) (if (<=.f64 x -6931674235302037/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (+.f64 x y) (if (<=.f64 x -5623642243178995/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (.f64 x (-.f64 1 z)) (*.f64 y (-.f64 1 z)))))
(if (<=.f64 z -5440166188265831/302231454903657293676544) (.f64 y (-.f64 1 z)) (if (<=.f64 z 5810724383218509/4611686018427387904) (+.f64 y x) (if (<=.f64 z 2399999999999999895326345084443627938979629944678387099460072058334642959680536576) (.f64 y (-.f64 1 z)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -5440166188265831/302231454903657293676544) (.f64 y (-.f64 1 z)) (if (<=.f64 z 5810724383218509/4611686018427387904) (+.f64 x y) (if (<=.f64 z 2399999999999999895326345084443627938979629944678387099460072058334642959680536576) (.f64 y (-.f64 1 z)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -420) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) (+.f64 y x) (if (<=.f64 z 58999999999999996830002997204081795545047079265877899721321230830948342317717651456) (.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -420) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) (+.f64 x y) (if (<=.f64 z 58999999999999996830002997204081795545047079265877899721321230830948342317717651456) (.f64 y (neg.f64 z)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -130000000000000000) (.f64 y (neg.f64 z)) (if (<=.f64 z 1) (+.f64 y x) (.f64 y (neg.f64 z))))
(if (<=.f64 z -130000000000000000) (.f64 y (neg.f64 z)) (if (<=.f64 z 1) (+.f64 x y) (.f64 y (neg.f64 z))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 x -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968) x y)
x

Compiler

Compiled 176 to 109 computations (38.1% saved)

soundness0.0ms (0%)

end68.0ms (2%)

Remove: (sort x y)
Compiler: Compiled 172 to 88 computations (48.8% saved)

Details

analyze200.0ms (5.8%)

sample1.0s (30.2%)

preprocess167.0ms (4.8%)

simplify55.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite56.0ms (1.6%)

simplify50.0ms (1.4%)

eval39.0ms (1.1%)

prune41.0ms (1.2%)

localize36.0ms (1%)

series10.0ms (0.3%)

rewrite69.0ms (2%)

simplify114.0ms (3.3%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite47.0ms (1.4%)

simplify38.0ms (1.1%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite62.0ms (1.8%)

simplify38.0ms (1.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite68.0ms (1.9%)

simplify52.0ms (1.5%)

eval131.0ms (3.8%)

prune104.0ms (3%)

localize4.0ms (0.1%)

localize7.0ms (0.2%)

localize6.0ms (0.2%)

localize7.0ms (0.2%)

series28.0ms (0.8%)

rewrite45.0ms (1.3%)

simplify53.0ms (1.5%)

eval11.0ms (0.3%)

prune32.0ms (0.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes78.0ms (2.2%)

regimes85.0ms (2.5%)

bsearch0.0ms (0%)

regimes174.0ms (5%)

bsearch37.0ms (1.1%)

regimes84.0ms (2.4%)

bsearch40.0ms (1.1%)

regimes68.0ms (2%)

bsearch42.0ms (1.2%)

regimes39.0ms (1.1%)

bsearch24.0ms (0.7%)

regimes14.0ms (0.4%)

regimes32.0ms (0.9%)

bsearch11.0ms (0.3%)

simplify11.0ms (0.3%)

soundness0.0ms (0%)

end68.0ms (2%)

Profiling