Details

analyze208.0ms (3.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
34.3%	56.9%	8.7%	10
40.6%	49.9%	9.5%	11
48%	41.9%	10.1%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.2s (22.7%)

Results

1.0s	8255×	body	256	valid
167.0ms	1109×	body	256	invalid
0.0ms	1×	body	512	valid

preprocess211.0ms (4%)

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)

simplify83.0ms (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))

eval1.0ms (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)

localize14.0ms (0.3%)

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)

series9.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (1.2%)

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))))))))

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
687×	`fma-neg_binary64`
137×	`associate--r+_binary64`
135×	`sub-neg_binary64`
130×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	442
1	40	334
2	95	334
3	266	334
4	484	334
5	1109	334
6	2033	334
7	2761	334
8	3101	334
9	3105	334

Stop Event

1×

saturated

Counts

72 → 48

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))

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

eval22.0ms (0.4%)

Compiler: Compiled 624 to 311 computations (50.2% saved)

prune25.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Error

0.0b

Counts

49 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.1b	(-.f64 x (*.f64 z x))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
▶	22.5b	(+.f64 y x)
▶	40.1b	(*.f64 z (-.f64 (neg.f64 y) x))
▶	32.5b	(-.f64 y (*.f64 y z))
	11.3b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 x y)) (+.f64 1 z))
▶	0.0b	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))

Compiler

Compiled 132 to 89 computations (32.6% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series10.0ms (0.2%)

Counts

3 → 72

Calls

21 calls:

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

rewrite85.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
425×	`fma-def_binary64`
360×	`pow-prod-down_binary64`
357×	`exp-prod_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	194	24
2	2686	24

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 z) (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 z) y))) (pow.f64 (exp.f64 x) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (-.f64 1 z)) y) (+.f64 1 (expm1.f64 (.f64 (-.f64 1 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 z) y))) (+.f64 1 (expm1.f64 (.f64 (-.f64 1 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 z) x))) (pow.f64 (exp.f64 (-.f64 1 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)) (+.f64 1 (expm1.f64 (.f64 (-.f64 1 z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 z) x))) (+.f64 1 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Outputs

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

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

simplify108.0ms (2%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-def_binary64`
745×	`fma-neg_binary64`
112×	`sub-neg_binary64`
107×	`distribute-rgt-in_binary64`
99×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	678
1	73	651
2	133	570
3	264	570
4	717	570
5	1540	570
6	2584	570
7	2872	570
8	2895	570
9	2895	570

Stop Event

1×

saturated

Counts

235 → 184

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

136×	`fma-def_binary64`
71×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
18×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	29	160
2	47	160
3	76	160
4	124	160
5	211	160
6	359	160
7	439	160
8	509	160
9	515	160

Stop Event

1×

saturated

Counts

62 → 45

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 z (-.f64 (neg.f64 y) x))
1.0ms	z	@	0	(*.f64 z (-.f64 (neg.f64 y) x))
1.0ms	z	@	inf	(*.f64 z (-.f64 (neg.f64 y) x))
0.0ms	x	@	inf	(*.f64 z (-.f64 (neg.f64 y) x))
0.0ms	y	@	inf	(*.f64 z (-.f64 (neg.f64 y) x))

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`pow1_binary64`
699×	`add-log-exp_binary64`
698×	`log1p-expm1-u_binary64`
698×	`expm1-log1p-u_binary64`
684×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	152	7
2	2152	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

99×	`fma-neg_binary64`
90×	`fma-def_binary64`
38×	`cancel-sign-sub-inv_binary64`
31×	`sub-neg_binary64`
26×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	306
1	33	306
2	81	306
3	121	306
4	200	306
5	362	306
6	549	306
7	598	306
8	602	306

Stop Event

1×

saturated

Counts

55 → 26

Calls

Call 1

Inputs
(.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 -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)))

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

eval67.0ms (1.3%)

Compiler: Compiled 3616 to 2048 computations (43.4% saved)

prune46.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	248	7	255
Fresh	1	0	1
Picked	0	1	1
Done	1	4	5
Total	250	12	262

Error

Counts

262 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.5b	(+.f64 y x)
	21.5b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 1 z) y)) 2) (.f64 (-.f64 1 z) x))
▶	0.0b	(fma.f64 (-.f64 1 z) x (*.f64 (-.f64 1 z) y))
▶	11.3b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 y x)) (+.f64 1 z))
	42.5b	y
✓	40.1b	(*.f64 z (-.f64 (neg.f64 y) x))
✓	31.1b	(-.f64 x (*.f64 z x))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	32.5b	(-.f64 y (*.f64 y z))
▶	50.3b	(*.f64 x (neg.f64 z))
▶	52.3b	(*.f64 y (neg.f64 z))
▶	20.3b	(+.f64 (.f64 (-.f64 1 z) y) (.f64 x (neg.f64 z)))

Compiler

Compiled 191 to 134 computations (29.8% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`pow1_binary64`
763×	`add-log-exp_binary64`
763×	`log1p-expm1-u_binary64`
763×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	162	10
2	2006	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-neg_binary64`
471×	`fma-def_binary64`
148×	`cancel-sign-sub-inv_binary64`
130×	`distribute-rgt-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	442
1	54	415
2	113	334
3	318	334
4	632	334
5	1192	334
6	2210	334
7	2800	334
8	2883	334
9	2883	334

Stop Event

1×

saturated

Counts

58 → 34

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize45.0ms (0.9%)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 15 computations (51.6% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`log-prod_binary64`
350×	`exp-prod_binary64`
346×	`pow-prod-down_binary64`
277×	`fma-def_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	215	11
2	3060	11

Stop Event

1×	node limit

Counts

1 → 138

Calls

Call 1

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

Outputs

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

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

343×	`fma-def_binary64`
255×	`fma-neg_binary64`
47×	`sub-neg_binary64`
45×	`cancel-sign-sub-inv_binary64`
44×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	382
1	48	328
2	100	328
3	209	328
4	384	328
5	677	328
6	1058	328
7	1251	328
8	1277	328
9	1286	328

Stop Event

1×

saturated

Counts

174 → 150

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.4b	(.f64 (-.f64 1 (.f64 z z)) (+.f64 y x))
✓	8.2b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 y x)) (+.f64 1 z))

Compiler

Compiled 43 to 19 computations (55.8% saved)

series14.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(.f64 (-.f64 1 (.f64 z z)) (+.f64 y x))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 y x)) (+.f64 1 z))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 y x)) (+.f64 1 z))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 y x)) (+.f64 1 z))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 y x)) (+.f64 1 z))

rewrite75.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
443×	`fma-def_binary64`
344×	`pow2_binary64`
238×	`pow1/3_binary64`
227×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	255	23
2	4013	23

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

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

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-neg_binary64`
391×	`cancel-sign-sub-inv_binary64`
365×	`unsub-neg_binary64`
281×	`sub-neg_binary64`
259×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	1475
1	82	1439
2	207	1241
3	697	998
4	2068	989
5	5813	989

Stop Event

1×	node limit

Counts

212 → 164

Calls

Call 1

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

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

eval168.0ms (3.2%)

Compiler: Compiled 7706 to 3605 computations (53.2% saved)

prune117.0ms (2.2%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	438	2	440
Fresh	0	2	2
Picked	0	1	1
Done	2	7	9
Total	440	12	452

Error

Counts

452 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(fma.f64 (-.f64 1 z) x (*.f64 y (neg.f64 z)))
✓	52.3b	(*.f64 y (neg.f64 z))
✓	22.5b	(+.f64 y x)
▶	21.5b	(+.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 1 z) y)) 2) (.f64 (-.f64 1 z) x))
✓	11.3b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 y x)) (+.f64 1 z))
	42.5b	y
✓	40.1b	(*.f64 z (-.f64 (neg.f64 y) x))
✓	31.1b	(-.f64 x (*.f64 z x))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	32.5b	(-.f64 y (*.f64 y z))
✓	50.3b	(*.f64 x (neg.f64 z))
▶	40.1b	(+.f64 (.f64 y (neg.f64 z)) (.f64 x (neg.f64 z)))

Compiler

Compiled 116 to 79 computations (31.9% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 7 computations (72% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`pow1_binary64`
770×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
753×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	178	7
2	2648	7

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
94×	`fma-neg_binary64`
38×	`cancel-sign-sub-inv_binary64`
33×	`sub-neg_binary64`
24×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	426
1	44	306
2	85	306
3	116	306
4	219	306
5	376	306
6	577	306
7	624	306
8	628	306

Stop Event

1×

saturated

Counts

84 → 56

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

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

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1 z) y)
✓	0.0b	(sqrt.f64 (*.f64 (-.f64 1 z) y))
	0.0b	(*.f64 (-.f64 1 z) x)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) y)) 2)

Compiler

Compiled 49 to 33 computations (32.7% saved)

series11.0ms (0.2%)

Counts

2 → 8

Calls

12 calls:

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

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
705×	`add-log-exp_binary64`
704×	`log1p-expm1-u_binary64`
704×	`expm1-log1p-u_binary64`
690×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	188	16
2	1955	16

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

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

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

660×	`cancel-sign-sub-inv_binary64`
593×	`associate-+l-_binary64`
588×	`fma-neg_binary64`
529×	`associate-l_binary64`
462×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	100
1	107	97
2	309	95
3	1508	86
4	4550	84

Stop Event

1×	node limit

Counts

66 → 70

Calls

Call 1

Inputs
y
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 (.f64 (+.f64 (.f64 1/4 y) (.f64 -1/4 y)) (pow.f64 z 2)) (+.f64 (.f64 -1 (*.f64 y z)) y))
(+.f64 (.f64 (+.f64 (.f64 -1/8 y) (.f64 1/8 y)) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 y) (.f64 -1/4 y)) (pow.f64 z 2)) (+.f64 (.f64 -1 (.f64 y z)) y)))
(sqrt.f64 y)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) z)) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 y) (pow.f64 z 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) z)) (sqrt.f64 y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 y) (pow.f64 z 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 y) (pow.f64 z 3))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) z)) (sqrt.f64 y))))

Outputs
y
(+.f64 (.f64 -1 (.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 (.f64 (+.f64 (.f64 1/4 y) (.f64 -1/4 y)) (pow.f64 z 2)) (+.f64 (.f64 -1 (*.f64 y z)) y))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 (.f64 (+.f64 (.f64 -1/8 y) (.f64 1/8 y)) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 y) (.f64 -1/4 y)) (pow.f64 z 2)) (+.f64 (.f64 -1 (.f64 y z)) y)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(sqrt.f64 y)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) z)) (sqrt.f64 y))
(fma.f64 -1/2 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (+.f64 (.f64 z -1/2) 1) (sqrt.f64 y))
(fma.f64 (sqrt.f64 y) (*.f64 z -1/2) (sqrt.f64 y))
(fma.f64 z (*.f64 (sqrt.f64 y) -1/2) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 y) (pow.f64 z 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) z)) (sqrt.f64 y)))
(fma.f64 -1/8 (.f64 (.f64 z z) (sqrt.f64 y)) (fma.f64 -1/2 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)))
(fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 y))) (fma.f64 -1/2 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 (.f64 z -1/2) (.f64 z (.f64 z -1/8)))))
(+.f64 (sqrt.f64 y) (.f64 z (.f64 (sqrt.f64 y) (+.f64 -1/2 (*.f64 z -1/8)))))
(.f64 (+.f64 (.f64 z (+.f64 -1/2 (*.f64 z -1/8))) 1) (sqrt.f64 y))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 y) (pow.f64 z 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 y) (pow.f64 z 3))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 y) z)) (sqrt.f64 y))))
(fma.f64 -1/8 (.f64 (.f64 z z) (sqrt.f64 y)) (fma.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 y)) (fma.f64 -1/2 (.f64 z (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 y))) (fma.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 y)) (fma.f64 -1/2 (.f64 z (sqrt.f64 y)) (sqrt.f64 y))))
(+.f64 (.f64 (+.f64 (.f64 z -1/2) 1) (sqrt.f64 y)) (.f64 (sqrt.f64 y) (+.f64 (.f64 z (.f64 z -1/8)) (.f64 (pow.f64 z 3) -1/16))))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 (.f64 z -1/2) (.f64 (.f64 z z) (+.f64 (*.f64 z -1/16) -1/8)))))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
742×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	185	11
2	2378	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

348×	`fma-def_binary64`
253×	`fma-neg_binary64`
47×	`sub-neg_binary64`
46×	`distribute-rgt-in_binary64`
45×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	355
1	49	328
2	99	328
3	219	328
4	395	328
5	689	328
6	1066	328
7	1259	328
8	1285	328
9	1294	328

Stop Event

1×

saturated

Counts

58 → 34

Calls

Call 1

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

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

eval104.0ms (2%)

Compiler: Compiled 3944 to 2403 computations (39.1% saved)

prune42.0ms (0.8%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	249	2	251
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	250	13	263

Error

Counts

263 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.8b	(fma.f64 (-.f64 1 z) x (*.f64 y (neg.f64 z)))
✓	52.3b	(*.f64 y (neg.f64 z))
✓	11.3b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) (+.f64 y x)) (+.f64 1 z))
	42.5b	y
✓	40.1b	(*.f64 z (-.f64 (neg.f64 y) x))
✓	31.1b	(-.f64 x (*.f64 z x))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	32.5b	(-.f64 y (*.f64 y z))
✓	50.3b	(*.f64 x (neg.f64 z))
✓	22.5b	(+.f64 y x)
	28.3b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1 z) y)) 2) x)
	43.3b	x
✓	40.1b	(+.f64 (.f64 y (neg.f64 z)) (.f64 x (neg.f64 z)))

Compiler

Compiled 116 to 79 computations (31.9% saved)

regimes84.0ms (1.6%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	z
11.0ms	(+.f64 x y)
11.0ms	y
11.0ms	(+.f64 x y)
9.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))

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 x y)`
0.0b	1	`(-.f64 1 z)`

Compiler

Compiled 178 to 98 computations (44.9% saved)

regimes56.0ms (1.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	z
10.0ms	(+.f64 x y)
9.0ms	y
9.0ms	x
9.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))

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 138 to 71 computations (48.6% saved)

regimes138.0ms (2.6%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	x
50.0ms	y
17.0ms	z

Results

Error	Segments	Branch
8.2b	6	`x`
9.5b	2	`y`
0.9b	3	`z`

Compiler

Compiled 44 to 23 computations (47.7% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.5838275979479375e-7	177753334286075140.0
18.0ms	-535.2718147454776	-7.559811477330059e-7

Compiler

Compiled 16 to 12 computations (25% saved)

regimes99.0ms (1.9%)

Counts

7 → 6

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	y
36.0ms	z
24.0ms	x

Results

Error	Segments	Branch
9.7b	4	`x`
9.5b	2	`y`
6.6b	6	`z`

Compiler

Compiled 38 to 20 computations (47.4% saved)

bsearch245.0ms (4.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
33.0ms	1.0053481862851716e+128	1.970640855665353e+133
18.0ms	7.266665387251684e-17	7.620482737871498e-9
69.0ms	-535.2718147454776	-7.559811477330059e-7
97.0ms	-3.809917125319522e+48	-3.3211009229689693e+40
26.0ms	-1.6136553767504768e+156	-3.970679893367901e+137

Compiler

Compiled 482 to 348 computations (27.8% saved)

regimes136.0ms (2.6%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	x
47.0ms	z
32.0ms	y

Results

Error	Segments	Branch
17.4b	7	`x`
18.3b	7	`y`
7.0b	6	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch187.0ms (3.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
27.0ms	1.0053481862851716e+128	1.970640855665353e+133
19.0ms	1.5838275979479375e-7	177753334286075140.0
29.0ms	-535.2718147454776	-7.559811477330059e-7
70.0ms	-3.809917125319522e+48	-3.3211009229689693e+40
43.0ms	-1.6136553767504768e+156	-3.970679893367901e+137

Compiler

Compiled 464 to 348 computations (25% saved)

regimes93.0ms (1.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	y
20.0ms	x
13.0ms	z

Results

Error	Segments	Branch
19.2b	5	`x`
19.5b	5	`y`
10.9b	3	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch108.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.5838275979479375e-7	177753334286075140.0
73.0ms	-535.2718147454776	-7.559811477330059e-7

Compiler

Compiled 16 to 12 computations (25% saved)

regimes29.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

9.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
22.5b	1	`x`
22.5b	1	`y`
22.5b	1	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes116.0ms (2.2%)

Accuracy

Total -34.0b remaining (-120.4%)

Threshold costs -34.0b (-120.4%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

79.0ms	z
21.0ms	x
15.0ms	y

Results

Error	Segments	Branch
28.3b	2	`x`
28.2b	2	`y`
35.7b	6	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch58.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
58.0ms	6.624819284044066e+29	3.9681519230364654e+35

Compiler

Compiled 16 to 12 computations (25% saved)

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	229
1	74	229
2	94	229
3	110	229
4	121	229
5	124	229
6	125	229

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 1 z) x (*.f64 (-.f64 1 z) y))
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 z -4708300674667309/8796093022208) (.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 y x) (.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 z -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (.f64 x (neg.f64 z)) (if (<=.f64 z -3800000000000000004354926742076186556031370788864) (.f64 y (neg.f64 z)) (if (<=.f64 z -4708300674667309/8796093022208) (-.f64 x (.f64 z x)) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (+.f64 y x) (if (<=.f64 z 102000000000000007667797665484857280002085764563945637775256728440492124374726350875783192311971319613683127413962957685321105408) (-.f64 x (.f64 z x)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (.f64 x (neg.f64 z)) (if (<=.f64 z -3800000000000000004354926742076186556031370788864) (.f64 y (neg.f64 z)) (if (<=.f64 z -4708300674667309/8796093022208) (.f64 x (neg.f64 z)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 y x) (if (<=.f64 z 102000000000000007667797665484857280002085764563945637775256728440492124374726350875783192311971319613683127413962957685321105408) (.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -4708300674667309/8796093022208) (.f64 x (neg.f64 z)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 y x) (.f64 x (neg.f64 z))))
(+.f64 y x)
(if (<=.f64 y 662481928404406616139069652992) x y)
x

Outputs
(fma.f64 (-.f64 1 z) x (*.f64 (-.f64 1 z) y))
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(if (<=.f64 z -4708300674667309/8796093022208) (.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 y x) (.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 z -4708300674667309/8796093022208) (.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 x y) (.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 z -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (.f64 x (neg.f64 z)) (if (<=.f64 z -3800000000000000004354926742076186556031370788864) (.f64 y (neg.f64 z)) (if (<=.f64 z -4708300674667309/8796093022208) (-.f64 x (.f64 z x)) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (+.f64 y x) (if (<=.f64 z 102000000000000007667797665484857280002085764563945637775256728440492124374726350875783192311971319613683127413962957685321105408) (-.f64 x (.f64 z x)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (.f64 x (neg.f64 z)) (if (<=.f64 z -3800000000000000004354926742076186556031370788864) (.f64 y (neg.f64 z)) (if (<=.f64 z -4708300674667309/8796093022208) (-.f64 x (.f64 z x)) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (+.f64 x y) (if (<=.f64 z 102000000000000007667797665484857280002085764563945637775256728440492124374726350875783192311971319613683127413962957685321105408) (-.f64 x (.f64 z x)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (.f64 x (neg.f64 z)) (if (<=.f64 z -3800000000000000004354926742076186556031370788864) (.f64 z (neg.f64 y)) (if (<=.f64 z -4708300674667309/8796093022208) (-.f64 x (.f64 z x)) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (+.f64 x y) (if (<=.f64 z 102000000000000007667797665484857280002085764563945637775256728440492124374726350875783192311971319613683127413962957685321105408) (-.f64 x (.f64 z x)) (*.f64 z (neg.f64 y)))))))
(if (<=.f64 z -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (.f64 x (neg.f64 z)) (if (<=.f64 z -3800000000000000004354926742076186556031370788864) (.f64 y (neg.f64 z)) (if (<=.f64 z -4708300674667309/8796093022208) (.f64 x (neg.f64 z)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 y x) (if (<=.f64 z 102000000000000007667797665484857280002085764563945637775256728440492124374726350875783192311971319613683127413962957685321105408) (.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (.f64 x (neg.f64 z)) (if (<=.f64 z -3800000000000000004354926742076186556031370788864) (.f64 y (neg.f64 z)) (if (<=.f64 z -4708300674667309/8796093022208) (.f64 x (neg.f64 z)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 x y) (if (<=.f64 z 102000000000000007667797665484857280002085764563945637775256728440492124374726350875783192311971319613683127413962957685321105408) (.f64 x (neg.f64 z)) (*.f64 y (neg.f64 z)))))))
(if (<=.f64 z -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736) (.f64 x (neg.f64 z)) (if (<=.f64 z -3800000000000000004354926742076186556031370788864) (.f64 z (neg.f64 y)) (if (<=.f64 z -4708300674667309/8796093022208) (.f64 x (neg.f64 z)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 x y) (if (<=.f64 z 102000000000000007667797665484857280002085764563945637775256728440492124374726350875783192311971319613683127413962957685321105408) (.f64 x (neg.f64 z)) (*.f64 z (neg.f64 y)))))))
(if (<=.f64 z -4708300674667309/8796093022208) (.f64 x (neg.f64 z)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 y x) (.f64 x (neg.f64 z))))
(if (<=.f64 z -4708300674667309/8796093022208) (.f64 x (neg.f64 z)) (if (<=.f64 z 23373169884979/147573952589676412928) (+.f64 x y) (.f64 x (neg.f64 z))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 y 662481928404406616139069652992) x y)
x

Compiler

Compiled 184 to 102 computations (44.6% saved)

soundness0.0ms (0%)

end122.0ms (2.3%)

Compiler: Compiled 186 to 84 computations (54.8% saved)

Iter	Nodes	Cost
0	14	160
1	29	160
2	47	160
3	76	160
4	124	160
5	211	160
6	359	160
7	439	160
8	509	160
9	515	160

Iter	Nodes	Cost
0	13	306
1	33	306
2	81	306
3	121	306
4	200	306
5	362	306
6	549	306
7	598	306
8	602	306

Iter	Nodes	Cost
0	17	426
1	44	306
2	85	306
3	116	306
4	219	306
5	376	306
6	577	306
7	624	306
8	628	306

Iter	Nodes	Cost
0	14	160
1	29	160
2	47	160
3	76	160
4	124	160
5	211	160
6	359	160
7	439	160
8	509	160
9	515	160

Iter	Nodes	Cost
0	13	306
1	33	306
2	81	306
3	121	306
4	200	306
5	362	306
6	549	306
7	598	306
8	602	306

Iter	Nodes	Cost
0	17	426
1	44	306
2	85	306
3	116	306
4	219	306
5	376	306
6	577	306
7	624	306
8	628	306

Details

analyze208.0ms (3.9%)

sample1.2s (22.7%)

preprocess211.0ms (4%)

simplify83.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.3%)

series9.0ms (0.2%)

rewrite65.0ms (1.2%)

simplify86.0ms (1.6%)

eval22.0ms (0.4%)

prune25.0ms (0.5%)

localize22.0ms (0.4%)

series10.0ms (0.2%)

rewrite85.0ms (1.6%)

simplify108.0ms (2%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite47.0ms (0.9%)

simplify22.0ms (0.4%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite51.0ms (1%)

simplify29.0ms (0.5%)

eval67.0ms (1.3%)

prune46.0ms (0.9%)

localize11.0ms (0.2%)

series3.0ms (0.1%)

rewrite49.0ms (0.9%)

simplify72.0ms (1.4%)

localize5.0ms (0.1%)

localize45.0ms (0.9%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite66.0ms (1.3%)

simplify61.0ms (1.2%)

localize15.0ms (0.3%)

series14.0ms (0.3%)

rewrite75.0ms (1.4%)

simplify77.0ms (1.5%)

eval168.0ms (3.2%)

prune117.0ms (2.2%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite51.0ms (1%)

simplify29.0ms (0.5%)

localize21.0ms (0.4%)

series11.0ms (0.2%)

rewrite55.0ms (1%)

simplify39.0ms (0.7%)

localize10.0ms (0.2%)

series3.0ms (0.1%)

rewrite82.0ms (1.6%)

simplify43.0ms (0.8%)

eval104.0ms (2%)

prune42.0ms (0.8%)

regimes84.0ms (1.6%)

regimes56.0ms (1.1%)

regimes138.0ms (2.6%)

bsearch35.0ms (0.7%)

regimes99.0ms (1.9%)

bsearch245.0ms (4.6%)

regimes136.0ms (2.6%)

bsearch187.0ms (3.5%)

regimes93.0ms (1.8%)

bsearch108.0ms (2%)

regimes29.0ms (0.5%)

regimes116.0ms (2.2%)

bsearch58.0ms (1.1%)

simplify35.0ms (0.7%)

soundness0.0ms (0%)

end122.0ms (2.3%)

Profiling

Iter	Nodes	Cost
0	14	160
1	29	160
2	47	160
3	76	160
4	124	160
5	211	160
6	359	160
7	439	160
8	509	160
9	515	160

Iter	Nodes	Cost
0	13	306
1	33	306
2	81	306
3	121	306
4	200	306
5	362	306
6	549	306
7	598	306
8	602	306

Iter	Nodes	Cost
0	17	426
1	44	306
2	85	306
3	116	306
4	219	306
5	376	306
6	577	306
7	624	306
8	628	306