Details

analyze554.0ms (18.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
34.3%	56.9%	8.7%	10
40.6%	49.9%	9.5%	11
48%	41.9%	10.1%	12
53.2%	32.1%	14.7%	13
57.4%	27.4%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample997.0ms (33.3%)

Results

920.0ms	8253×	body	128	valid
64.0ms	654×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

preprocess35.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1050×	`fma-def_binary64`
630×	`fma-neg_binary64`
372×	`distribute-rgt-in_binary64`
231×	`unsub-neg_binary64`
222×	`distribute-lft-in_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	3351	40
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

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 y x) (-.f64 1 z))
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.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 10 to 7 computations (30% saved)

simplify36.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
467×	`fma-def_binary64`
145×	`distribute-rgt-in_binary64`
132×	`cancel-sign-sub-inv_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	703	10
6	1218	10
7	1946	10
8	2497	10
9	2820	10
10	2855	10
11	2855	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 20 to 14 computations (30% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
88×	`*-un-lft-identity_binary64`
88×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	2358	10

Stop Event

1×	node limit

Counts

1 → 37

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

simplify44.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
683×	`fma-neg_binary64`
136×	`sub-neg_binary64`
128×	`distribute-rgt-in_binary64`
122×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	442
1	40	334
2	95	334
3	264	334
4	483	334
5	1108	334
6	1940	334
7	2645	334
8	2985	334
9	2989	334

Stop Event

1×

saturated

Counts

73 → 49

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

eval26.0ms (0.9%)

Compiler: Compiled 635 to 317 computations (50.1% saved)

prune38.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	3	50

Error

Counts

50 → 3

Alt Table

Click to see full alt table

Status	Error	Program
	30.6b	(fma.f64 z (neg.f64 y) y)
▶	0.0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
	0.0b	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))

Compiler

Compiled 70 to 44 computations (37.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

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

rewrite50.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`log1p-expm1-u_binary64`
934×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`
98×	`*-un-lft-identity_binary64`
98×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	185	17
2	2912	17

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

Outputs

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

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

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1052×	`fma-def_binary64`
885×	`fma-neg_binary64`
154×	`distribute-rgt-in_binary64`
143×	`sub-neg_binary64`
135×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	936
1	102	748
2	259	640
3	611	640
4	1381	640
5	2658	640
6	3437	640
7	3561	640
8	3565	640
9	3565	640

Stop Event

1×

saturated

Counts

145 → 96

Calls

Call 1

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

eval22.0ms (0.7%)

Compiler: Compiled 1319 to 533 computations (59.6% saved)

prune149.0ms (5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Error

Counts

99 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
▶	0.0b	(+.f64 y (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (-.f64 z 1) x))))
	10.5b	(+.f64 (+.f64 x y) (*.f64 z (neg.f64 y)))

Compiler

Compiled 71 to 47 computations (33.8% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.3%)

Counts

2 → 30

Calls

15 calls:

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

rewrite68.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

292×	`fma-def_binary64`
281×	`fma-neg_binary64`
182×	`egg-rr`
182×	`expm1-udef_binary64`
182×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	256	18
2	3657	18

Stop Event

1×	node limit

Counts

2 → 208

Calls

Call 1

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

Outputs

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log1p.f64 (expm1.f64 (fma.f64 z y (*.f64 (+.f64 z -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z y (*.f64 (+.f64 z -1) x))))))))

simplify34.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

396×	`fma-def_binary64`
284×	`fma-neg_binary64`
74×	`cancel-sign-sub-inv_binary64`
46×	`sub-neg_binary64`
42×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	237
1	56	228
2	121	222
3	233	222
4	516	222
5	933	222
6	1319	222
7	1396	222
8	1400	222

Stop Event

1×

saturated

Counts

238 → 224

Calls

Call 1

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

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

eval120.0ms (4%)

Compiler: Compiled 4177 to 2348 computations (43.8% saved)

prune502.0ms (16.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	225	2	227

Error

Counts

227 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 41 to 25 computations (39% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite36.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
597×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
64×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1559	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

125×	`fma-def_binary64`
76×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
15×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	158
1	20	158
2	27	158
3	32	158
4	47	158
5	74	158
6	155	158
7	296	158
8	436	158
9	470	158
10	472	158

Stop Event

1×

saturated

Counts

46 → 28

Calls

Call 1

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

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

eval8.0ms (0.3%)

Compiler: Compiled 386 to 228 computations (40.9% saved)

prune22.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 27 to 16 computations (40.7% saved)

regimes43.0ms (1.4%)

Accuracy

Total -30.6b remaining (-261457.7%)

Threshold costs -30.6b (-261457.7%)

Counts

7 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
5.0ms	0.0b	1	`x`
6.0ms	0.0b	1	`y`
5.0ms	0.0b	1	`z`
5.0ms	0.0b	1	`(*.f64 (+.f64 x y) (-.f64 1 z))`
6.0ms	0.0b	1	`(+.f64 x y)`
5.0ms	0.0b	1	`(+.f64 x y)`
4.0ms	0.0b	1	`(-.f64 1 z)`
5.0ms	0.0b	1	`(-.f64 1 z)`

Compiler

Compiled 116 to 71 computations (38.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`unsub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	19	14
3	20	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end29.0ms (1%)

Stop Event

1×

done

Compiler

Compiled 52 to 32 computations (38.5% saved)

Iter	Nodes	Cost
0	10	158
1	20	158
2	27	158
3	32	158
4	47	158
5	74	158
6	155	158
7	296	158
8	436	158
9	470	158
10	472	158

Iter	Nodes	Cost
0	10	158
1	20	158
2	27	158
3	32	158
4	47	158
5	74	158
6	155	158
7	296	158
8	436	158
9	470	158
10	472	158

Details

analyze554.0ms (18.5%)

sample997.0ms (33.3%)

preprocess35.0ms (1.2%)

simplify36.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series5.0ms (0.2%)

rewrite42.0ms (1.4%)

simplify44.0ms (1.5%)

eval26.0ms (0.9%)

prune38.0ms (1.3%)

localize5.0ms (0.2%)

series10.0ms (0.3%)

rewrite50.0ms (1.7%)

simplify66.0ms (2.2%)

eval22.0ms (0.7%)

prune149.0ms (5%)

localize10.0ms (0.3%)

series9.0ms (0.3%)

rewrite68.0ms (2.3%)

simplify34.0ms (1.1%)

eval120.0ms (4%)

prune502.0ms (16.7%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite36.0ms (1.2%)

simplify20.0ms (0.7%)

eval8.0ms (0.3%)

prune22.0ms (0.7%)

regimes43.0ms (1.4%)

simplify2.0ms (0.1%)

end29.0ms (1%)

Profiling

Iter	Nodes	Cost
0	10	158
1	20	158
2	27	158
3	32	158
4	47	158
5	74	158
6	155	158
7	296	158
8	436	158
9	470	158
10	472	158