Details

analyze373.0ms (6.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
37.6%	34.3%	56.9%	0.1%	8.6%	0%	0%	10
44.8%	40.6%	49.9%	0.1%	9.4%	0%	0%	11
53.4%	48%	41.9%	0.1%	9.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.9s (34.3%)

Results

1.5s	8255×	body	256	valid
406.0ms	1158×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess226.0ms (4.1%)

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)

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.1%)

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)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (1.1%)

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))))))))

simplify72.0ms (1.3%)

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))

eval13.0ms (0.2%)

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

prune24.0ms (0.4%)

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

Counts

49 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
▶	34.1b	(-.f64 y (*.f64 y z))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
	48.0b	(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (+.f64 x y) 3)))
▶	40.4b	(*.f64 z (-.f64 (neg.f64 y) x))
▶	23.3b	(+.f64 y x)
▶	28.9b	(*.f64 (-.f64 1 z) x)

Compiler

Compiled 130 to 93 computations (28.5% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series15.0ms (0.3%)

Counts

3 → 72

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f64 (-.f64 1 z) x)
1.0ms	z	@	0	(*.f64 (-.f64 1 z) x)
1.0ms	y	@	inf	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
1.0ms	x	@	0	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
1.0ms	x	@	inf	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))

rewrite199.0ms (3.6%)

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

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

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

simplify148.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-def_binary64`
729×	`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	714
1	73	651
2	133	570
3	264	570
4	718	570
5	1539	570
6	2569	570
7	2857	570
8	2880	570
9	2880	570

Stop Event

1×

saturated

Counts

235 → 184

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize10.0ms (0.2%)

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)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (1.1%)

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)))))))

simplify61.0ms (1.1%)

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)

localize13.0ms (0.2%)

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)

series10.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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))
1.0ms	y	@	inf	(*.f64 z (-.f64 (neg.f64 y) x))
1.0ms	x	@	inf	(*.f64 z (-.f64 (neg.f64 y) x))

rewrite75.0ms (1.4%)

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))))))))

simplify46.0ms (0.8%)

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))

eval271.0ms (5%)

Compiler: Compiled 4058 to 2302 computations (43.3% saved)

prune137.0ms (2.5%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	295	6	301
Fresh	1	0	1
Picked	0	1	1
Done	1	4	5
Total	297	11	308

Error

Counts

308 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.1b	(-.f64 y (*.f64 y z))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
▶	52.1b	(*.f64 y (neg.f64 z))
	44.9b	y
▶	22.5b	(+.f64 (.f64 (-.f64 1 z) y) (.f64 x (neg.f64 z)))
▶	0.0b	(fma.f64 (-.f64 1 z) x (*.f64 (-.f64 1 z) y))
▶	50.8b	(*.f64 x (neg.f64 z))
	41.1b	x
✓	40.4b	(*.f64 z (-.f64 (neg.f64 y) x))
✓	23.3b	(+.f64 y x)
✓	28.9b	(*.f64 (-.f64 1 z) x)

Compiler

Compiled 89 to 62 computations (30.3% saved)

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 15 computations (51.6% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

eval51.0ms (0.9%)

Compiler: Compiled 1355 to 719 computations (46.9% saved)

prune18.0ms (0.3%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	2	2
Picked	1	0	1
Done	1	7	8
Total	96	11	107

Error

Counts

107 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.1b	(-.f64 y (*.f64 y z))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	52.1b	(*.f64 y (neg.f64 z))
	44.9b	y
✓	50.8b	(*.f64 x (neg.f64 z))
	41.1b	x
✓	40.4b	(*.f64 z (-.f64 (neg.f64 y) x))
✓	23.3b	(+.f64 y x)
✓	28.9b	(*.f64 (-.f64 1 z) x)
▶	11.1b	(fma.f64 (-.f64 1 z) x y)
▶	40.4b	(+.f64 (.f64 z (neg.f64 y)) (.f64 x (neg.f64 z)))

Compiler

Compiled 84 to 58 computations (31% saved)

localize40.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary64`
767×	`add-log-exp_binary64`
766×	`log1p-expm1-u_binary64`
766×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	197	8
2	2894	8

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.6%)

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: 0 (0.0ms)

Iter	Nodes	Cost
0	17	306
1	44	306
2	85	306
3	116	306
4	219	306
5	376	306
6	578	306
7	625	306
8	629	306

Stop Event

1×

saturated

Counts

78 → 50

Calls

Call 1

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

localize33.0ms (0.6%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

eval10.0ms (0.2%)

Compiler: Compiled 632 to 193 computations (69.5% saved)

prune51.0ms (0.9%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	50	11	61

Error

Counts

61 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.1b	(-.f64 y (*.f64 y z))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	52.1b	(*.f64 y (neg.f64 z))
	44.9b	y
✓	50.8b	(*.f64 x (neg.f64 z))
	41.1b	x
✓	40.4b	(*.f64 z (-.f64 (neg.f64 y) x))
✓	23.3b	(+.f64 y x)
✓	28.9b	(*.f64 (-.f64 1 z) x)
✓	11.1b	(fma.f64 (-.f64 1 z) x y)
✓	40.4b	(+.f64 (.f64 z (neg.f64 y)) (.f64 x (neg.f64 z)))

Compiler

Compiled 84 to 58 computations (31% saved)

regimes105.0ms (1.9%)

Counts

15 → 1

Calls

Call 1

Inputs
y
x
(+.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 x (neg.f64 z))
(-.f64 y (*.f64 y z))
(*.f64 (-.f64 1 z) x)
(*.f64 z (-.f64 (neg.f64 y) x))
(*.f64 (+.f64 x y) (-.f64 1 z))
(+.f64 (.f64 z (neg.f64 y)) (.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))
(fma.f64 (-.f64 1 z) x y)
(fma.f64 (-.f64 1 z) x (*.f64 (-.f64 1 z) y))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (+.f64 x y) 3)))

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

Calls

7 calls:

46.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
10.0ms	z
10.0ms	x
9.0ms	(+.f64 x y)
9.0ms	(+.f64 x y)

Results

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

Compiler

Compiled 137 to 78 computations (43.1% saved)

regimes57.0ms (1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	z
9.0ms	y
8.0ms	(+.f64 x y)
8.0ms	x
8.0ms	(*.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 109 to 60 computations (45% saved)

regimes83.0ms (1.5%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

42.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
10.0ms	y
8.0ms	(+.f64 x y)
8.0ms	x
7.0ms	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 92 to 50 computations (45.7% saved)

regimes129.0ms (2.4%)

Counts

8 → 3

Calls

Call 1

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

5 calls:

43.0ms	(-.f64 1 z)
34.0ms	x
21.0ms	y
18.0ms	z
10.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
7.3b	6	`x`
7.5b	4	`y`
1.8b	3	`z`
1.8b	3	`(-.f64 1 z)`
1.8b	3	`(-.f64 1 z)`

Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0003197068072385	16.303115969212687
0.0ms	-20942.138695808382	0.9999984169868054

Compiler

Compiled 16 to 12 computations (25% saved)

regimes175.0ms (3.2%)

Counts

7 → 6

Calls

Call 1

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

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

Calls

5 calls:

57.0ms	(-.f64 1 z)
44.0ms	z
30.0ms	x
23.0ms	(-.f64 1 z)
19.0ms	y

Results

Error	Segments	Branch
7.3b	6	`x`
7.5b	4	`y`
9.3b	5	`z`
8.5b	7	`(-.f64 1 z)`
8.5b	7	`(-.f64 1 z)`

Compiler

Compiled 50 to 31 computations (38% saved)

bsearch94.0ms (1.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
18.0ms	-6.195344930664293e-192	-2.5601807878589416e-194
20.0ms	-9.126119923670348e-187	-2.5821964274785404e-188
20.0ms	-9.468226781781555e-165	-4.635255571802751e-166
18.0ms	-1.2704406597286932e-127	-7.158383172982673e-128
18.0ms	-7.833032822298084e-109	-4.438529379861785e-110

Compiler

Compiled 16 to 12 computations (25% saved)

regimes84.0ms (1.5%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	z
32.0ms	y
19.0ms	x

Results

Error	Segments	Branch
14.4b	4	`x`
14.9b	6	`y`
9.1b	6	`z`

Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch127.0ms (2.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
26.0ms	1.425713496316878e+149	7.439277030266898e+160
28.0ms	1.4698149742790986e+89	1.5943976639714983e+91
38.0ms	1.8706134188324622e+52	5.657662964317182e+52
17.0ms	1.583013194625646e-6	20943.138695808382
17.0ms	-15.303115969212687	-0.00031970680723839056

Compiler

Compiled 373 to 276 computations (26% saved)

regimes97.0ms (1.8%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	x
28.0ms	y
25.0ms	z

Results

Error	Segments	Branch
19.6b	7	`x`
18.4b	7	`y`
10.2b	5	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch89.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	1.425713496316878e+149	7.439277030266898e+160
28.0ms	1.4698149742790986e+89	1.5943976639714983e+91
17.0ms	1.583013194625646e-6	20943.138695808382
17.0ms	-15.303115969212687	-0.00031970680723839056

Compiler

Compiled 288 to 216 computations (25% saved)

regimes52.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
19.0ms	x
11.0ms	z

Results

Error	Segments	Branch
20.8b	5	`x`
19.9b	5	`y`
13.3b	3	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.583013194625646e-6	20943.138695808382
18.0ms	-619957.0844106287	-1178.426419236396

Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
y
x
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

5.0ms	z
5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
23.3b	1	`x`
23.3b	1	`y`
23.3b	1	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes38.0ms (0.7%)

Accuracy

Total -33.5b remaining (-117.3%)

Threshold costs -33.5b (-117.3%)

Counts

2 → 2

Calls

Call 1

Inputs
y
x

Outputs
x
y

Calls

3 calls:

24.0ms	z
7.0ms	y
6.0ms	x

Results

Error	Segments	Branch
28.6b	2	`x`
28.9b	2	`y`
34.9b	7	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-2.0455290131678964e-163	-9.468226781781555e-165

Compiler

Compiled 16 to 12 computations (25% saved)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-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	67	307
1	94	307
2	112	307
3	128	307
4	139	307
5	142	307
6	143	307

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 1 z) x (*.f64 (-.f64 1 z) y))
(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -20000) (.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 x -1035614620182015/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 (-.f64 1 z) x) (if (<=.f64 x -3098434599820735/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (-.f64 y (.f64 y z)) (if (<=.f64 x -2455534652543659/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (.f64 (-.f64 1 z) x) (if (<=.f64 x -4470779658512613/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424) (+.f64 y x) (if (<=.f64 x -7956141672915763/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 (-.f64 1 z) x) (-.f64 y (*.f64 y z)))))))
(if (<=.f64 z -4307444211034609/281474976710656) (.f64 x (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 y x) (if (<=.f64 z 54999999999999999627152177089889538705393964306923520) (-.f64 y (.f64 y z)) (if (<=.f64 z 150000000000000006280438121901244716806881918647697326742848129600338295293886572875743232) (.f64 x (neg.f64 z)) (if (<=.f64 z 74000000000000003292675868419441773450016658715608051850259778035325822929243804117411062511706674173316427036527874854277988879865182730538943771372700057993216) (.f64 y (neg.f64 z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -4307444211034609/281474976710656) (.f64 x (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 y x) (if (<=.f64 z 150000000000000006280438121901244716806881918647697326742848129600338295293886572875743232) (.f64 x (neg.f64 z)) (if (<=.f64 z 74000000000000003292675868419441773450016658715608051850259778035325822929243804117411062511706674173316427036527874854277988879865182730538943771372700057993216) (.f64 y (neg.f64 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -5325390804934323/8589934592) (.f64 y (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 y x) (.f64 y (neg.f64 z))))
(+.f64 y x)
(if (<=.f64 x -6631214442764031/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) x y)
y

Outputs
(fma.f64 (-.f64 1 z) x (*.f64 (-.f64 1 z) y))
(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(if (<=.f64 (-.f64 1 z) -20000) (.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 (-.f64 1 z) -20000) (.f64 z (-.f64 (neg.f64 y) x)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (.f64 z (-.f64 (neg.f64 y) x))))
(if (<=.f64 x -1035614620182015/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 (-.f64 1 z) x) (if (<=.f64 x -3098434599820735/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (-.f64 y (.f64 y z)) (if (<=.f64 x -2455534652543659/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (.f64 (-.f64 1 z) x) (if (<=.f64 x -4470779658512613/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424) (+.f64 y x) (if (<=.f64 x -7956141672915763/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 (-.f64 1 z) x) (-.f64 y (*.f64 y z)))))))
(if (<=.f64 x -1035614620182015/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 (-.f64 1 z) x) (if (<=.f64 x -3098434599820735/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (-.f64 y (.f64 z y)) (if (<=.f64 x -2455534652543659/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (.f64 (-.f64 1 z) x) (if (<=.f64 x -4470779658512613/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424) (+.f64 x y) (if (<=.f64 x -7956141672915763/1284212866588958375791257295625031412487875928423626430541572486100764686107685747586344369208395617975337638880902885183842634826705030240021439152991181848133599529084092919480386659639727225896311829037056) (.f64 (-.f64 1 z) x) (-.f64 y (*.f64 z y)))))))
(if (<=.f64 z -4307444211034609/281474976710656) (.f64 x (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 y x) (if (<=.f64 z 54999999999999999627152177089889538705393964306923520) (-.f64 y (.f64 y z)) (if (<=.f64 z 150000000000000006280438121901244716806881918647697326742848129600338295293886572875743232) (.f64 x (neg.f64 z)) (if (<=.f64 z 74000000000000003292675868419441773450016658715608051850259778035325822929243804117411062511706674173316427036527874854277988879865182730538943771372700057993216) (.f64 y (neg.f64 z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -4307444211034609/281474976710656) (.f64 x (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x y) (if (<=.f64 z 54999999999999999627152177089889538705393964306923520) (-.f64 y (.f64 z y)) (if (<=.f64 z 150000000000000006280438121901244716806881918647697326742848129600338295293886572875743232) (.f64 x (neg.f64 z)) (if (<=.f64 z 74000000000000003292675868419441773450016658715608051850259778035325822929243804117411062511706674173316427036527874854277988879865182730538943771372700057993216) (.f64 y (neg.f64 z)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -4307444211034609/281474976710656) (.f64 x (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x y) (if (<=.f64 z 54999999999999999627152177089889538705393964306923520) (-.f64 y (.f64 z y)) (if (<=.f64 z 150000000000000006280438121901244716806881918647697326742848129600338295293886572875743232) (.f64 x (neg.f64 z)) (if (<=.f64 z 74000000000000003292675868419441773450016658715608051850259778035325822929243804117411062511706674173316427036527874854277988879865182730538943771372700057993216) (.f64 z (neg.f64 y)) (*.f64 x (neg.f64 z)))))))
(if (<=.f64 z -4307444211034609/281474976710656) (.f64 x (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 y x) (if (<=.f64 z 150000000000000006280438121901244716806881918647697326742848129600338295293886572875743232) (.f64 x (neg.f64 z)) (if (<=.f64 z 74000000000000003292675868419441773450016658715608051850259778035325822929243804117411062511706674173316427036527874854277988879865182730538943771372700057993216) (.f64 y (neg.f64 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -4307444211034609/281474976710656) (.f64 x (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x y) (if (<=.f64 z 150000000000000006280438121901244716806881918647697326742848129600338295293886572875743232) (.f64 x (neg.f64 z)) (if (<=.f64 z 74000000000000003292675868419441773450016658715608051850259778035325822929243804117411062511706674173316427036527874854277988879865182730538943771372700057993216) (.f64 y (neg.f64 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -4307444211034609/281474976710656) (.f64 x (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x y) (if (<=.f64 z 150000000000000006280438121901244716806881918647697326742848129600338295293886572875743232) (.f64 x (neg.f64 z)) (if (<=.f64 z 74000000000000003292675868419441773450016658715608051850259778035325822929243804117411062511706674173316427036527874854277988879865182730538943771372700057993216) (.f64 z (neg.f64 y)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -5325390804934323/8589934592) (.f64 y (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 y x) (.f64 y (neg.f64 z))))
(if (<=.f64 z -5325390804934323/8589934592) (.f64 y (neg.f64 z)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x y) (.f64 y (neg.f64 z))))
(if (<=.f64 z -5325390804934323/8589934592) (.f64 z (neg.f64 y)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x y) (.f64 z (neg.f64 y))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 x -6631214442764031/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) x y)
y

Compiler

Compiled 244 to 143 computations (41.4% saved)

soundness0.0ms (0%)

end111.0ms (2%)

Compiler: Compiled 240 to 116 computations (51.7% 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	306
1	44	306
2	85	306
3	116	306
4	219	306
5	376	306
6	578	306
7	625	306
8	629	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	306
1	44	306
2	85	306
3	116	306
4	219	306
5	376	306
6	578	306
7	625	306
8	629	306

Details

analyze373.0ms (6.8%)

sample1.9s (34.3%)

preprocess226.0ms (4.1%)

simplify67.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite59.0ms (1.1%)

simplify72.0ms (1.3%)

eval13.0ms (0.2%)

prune24.0ms (0.4%)

localize13.0ms (0.2%)

series15.0ms (0.3%)

rewrite199.0ms (3.6%)

simplify148.0ms (2.7%)

localize7.0ms (0.1%)

localize13.0ms (0.2%)

localize10.0ms (0.2%)

series5.0ms (0.1%)

rewrite62.0ms (1.1%)

simplify61.0ms (1.1%)

localize13.0ms (0.2%)

series10.0ms (0.2%)

rewrite75.0ms (1.4%)

simplify46.0ms (0.8%)

eval271.0ms (5%)

prune137.0ms (2.5%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize13.0ms (0.2%)

localize13.0ms (0.2%)

eval51.0ms (0.9%)

prune18.0ms (0.3%)

localize40.0ms (0.7%)

series5.0ms (0.1%)

rewrite51.0ms (0.9%)

simplify31.0ms (0.6%)

localize33.0ms (0.6%)

eval10.0ms (0.2%)

prune51.0ms (0.9%)

regimes105.0ms (1.9%)

regimes57.0ms (1%)

regimes83.0ms (1.5%)

regimes129.0ms (2.4%)

bsearch1.0ms (0%)

regimes175.0ms (3.2%)

bsearch94.0ms (1.7%)

regimes84.0ms (1.5%)

bsearch127.0ms (2.3%)

regimes97.0ms (1.8%)

bsearch89.0ms (1.6%)

regimes52.0ms (0.9%)

bsearch36.0ms (0.7%)

regimes15.0ms (0.3%)

regimes38.0ms (0.7%)

bsearch18.0ms (0.3%)

simplify26.0ms (0.5%)

soundness0.0ms (0%)

end111.0ms (2%)

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	306
1	44	306
2	85	306
3	116	306
4	219	306
5	376	306
6	578	306
7	625	306
8	629	306