Details

analyze198.0ms (5.5%)

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample954.0ms (26.4%)

Results

805.0ms	8256×	body	256	valid
136.0ms	1213×	body	256	invalid

preprocess91.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1773×	`fma-neg_binary64`
1050×	`fma-def_binary64`
372×	`distribute-rgt-in_binary64`
360×	`unsub-neg_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	3351	40
7	5193	40
8	5712	40
9	5820	40
10	5820	40
11	5941	40
12	5941	40
13	7084	40
14	7084	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 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 13 to 10 computations (23.1% saved)

simplify30.0ms (0.8%)

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 10 to 7 computations (30% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (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	2358	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 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))))))) (#(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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))))))

simplify39.0ms (1.1%)

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

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))
(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))

eval10.0ms (0.3%)

Compiler: Compiled 624 to 310 computations (50.3% saved)

prune12.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	8	49

Error

Counts

49 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	35.2b	(*.f64 z (-.f64 (neg.f64 y) x))
▶	0.0b	(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
▶	30.1b	(-.f64 x (*.f64 z x))
	1.4b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z))) 3)
▶	30.1b	(*.f64 (-.f64 1 z) x)
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
▶	33.1b	(*.f64 y (-.f64 1 z))
▶	28.0b	(+.f64 y x)

Compiler

Compiled 142 to 101 computations (28.9% saved)

localize11.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series8.0ms (0.2%)

Counts

3 → 51

Calls

21 calls:

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

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
411×	`prod-exp_binary64`
407×	`fma-def_binary64`
352×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	192	24
2	2634	24

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

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

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

simplify46.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-def_binary64`
737×	`fma-neg_binary64`
115×	`sub-neg_binary64`
107×	`distribute-rgt-in_binary64`
93×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	492
1	72	450
2	133	396
3	264	396
4	720	396
5	1523	396
6	2560	396
7	2840	396
8	2863	396
9	2863	396

Stop Event

1×

saturated

Counts

222 → 192

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

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

localize33.0ms (0.9%)

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

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize18.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite35.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1648	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
18×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Stop Event

1×

saturated

Counts

64 → 47

Calls

Call 1

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

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

eval172.0ms (4.7%)

Compiler: Compiled 4511 to 2578 computations (42.9% saved)

prune70.0ms (1.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	337	7	344
Fresh	2	0	2
Picked	0	1	1
Done	1	4	5
Total	340	12	352

Error

Counts

352 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 (-.f64 1 z) x (*.f64 y (-.f64 1 z)))
▶	20.2b	(+.f64 (.f64 z (neg.f64 x)) (.f64 y (-.f64 1 z)))
✓	30.1b	(-.f64 x (*.f64 z x))
	42.9b	x
▶	35.2b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	30.1b	(*.f64 (-.f64 1 z) x)
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
▶	48.0b	(*.f64 y (neg.f64 z))
✓	33.1b	(*.f64 y (-.f64 1 z))
✓	28.0b	(+.f64 y x)
▶	49.5b	(*.f64 x (neg.f64 z))
	48.0b	y

Compiler

Compiled 146 to 102 computations (30.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	162	10
2	2005	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-neg_binary64`
471×	`fma-def_binary64`
139×	`cancel-sign-sub-inv_binary64`
132×	`distribute-rgt-in_binary64`
116×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	442
1	54	415
2	113	334
3	311	334
4	625	334
5	1191	334
6	2211	334
7	2793	334
8	2876	334
9	2876	334

Stop Event

1×

saturated

Counts

58 → 35

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize4.0ms (0.1%)

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

localize24.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite36.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
694×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
679×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	153	7
2	2171	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify25.0ms (0.7%)

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: 1 (0.0ms)

Iter	Nodes	Cost
0	13	426
1	33	306
2	81	306
3	121	306
4	200	306
5	362	306
6	547	306
7	596	306
8	600	306

Stop Event

1×

saturated

Counts

59 → 30

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 15 computations (51.6% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
367×	`exp-prod_binary64`
362×	`fma-def_binary64`
344×	`pow-prod-down_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	216	11
2	3009	11

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	382
1	48	328
2	100	328
3	209	328
4	384	328
5	671	328
6	1049	328
7	1242	328
8	1268	328
9	1277	328

Stop Event

1×

saturated

Counts

118 → 93

Calls

Call 1

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

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

eval108.0ms (3%)

Compiler: Compiled 3524 to 1840 computations (47.8% saved)

prune55.0ms (1.5%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	261	3	264
Fresh	1	1	2
Picked	1	0	1
Done	1	8	9
Total	264	12	276

Error

Counts

276 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.0b	(+.f64 y x)
▶	35.2b	(+.f64 (.f64 z (neg.f64 x)) (.f64 y (neg.f64 z)))
✓	30.1b	(-.f64 x (*.f64 z x))
	42.9b	x
✓	35.2b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	30.1b	(*.f64 (-.f64 1 z) x)
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	48.0b	(*.f64 y (neg.f64 z))
	48.0b	y
▶	15.7b	(fma.f64 (-.f64 1 z) x (*.f64 y (neg.f64 z)))
✓	33.1b	(*.f64 y (-.f64 1 z))
✓	49.5b	(*.f64 x (neg.f64 z))

Compiler

Compiled 95 to 66 computations (30.5% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	185	11
2	2367	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	355
1	49	328
2	99	328
3	219	328
4	395	328
5	681	328
6	1058	328
7	1251	328
8	1277	328
9	1286	328

Stop Event

1×

saturated

Counts

58 → 34

Calls

Call 1

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

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

localize26.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite39.0ms (1.1%)

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	2890	8

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
94×	`fma-neg_binary64`
40×	`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	366	306
6	567	306
7	614	306
8	618	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 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)))

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

eval22.0ms (0.6%)

Compiler: Compiled 1016 to 389 computations (61.7% saved)

prune17.0ms (0.5%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	1	2
Picked	0	1	1
Done	1	8	9
Total	84	12	96

Error

Counts

96 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.0b	(+.f64 y x)
✓	35.2b	(+.f64 (.f64 z (neg.f64 x)) (.f64 y (neg.f64 z)))
✓	30.1b	(-.f64 x (*.f64 z x))
✓	35.2b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	30.1b	(*.f64 (-.f64 1 z) x)
	35.2b	(neg.f64 (fma.f64 z x (*.f64 z y)))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	48.0b	(*.f64 y (neg.f64 z))
	48.0b	y
	42.9b	x
✓	33.1b	(*.f64 y (-.f64 1 z))
✓	49.5b	(*.f64 x (neg.f64 z))

Compiler

Compiled 93 to 64 computations (31.2% saved)

regimes55.0ms (1.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	z
8.0ms	x
8.0ms	(+.f64 x y)
7.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
7.0ms	y

Results

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

Compiler

Compiled 94 to 51 computations (45.7% saved)

regimes98.0ms (2.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	x
22.0ms	(-.f64 1 z)
19.0ms	y
19.0ms	z
10.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
11.1b	4	`x`
10.7b	2	`y`
1.4b	3	`z`
1.4b	3	`(-.f64 1 z)`
1.4b	3	`(-.f64 1 z)`

Compiler

Compiled 61 to 35 computations (42.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000001311824	91.52824959493338
0.0ms	-1795.159896133148	0.9507372636801922

Compiler

Compiled 16 to 12 computations (25% saved)

regimes127.0ms (3.5%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

5 calls:

46.0ms	x
28.0ms	z
19.0ms	(-.f64 1 z)
18.0ms	(-.f64 1 z)
14.0ms	y

Results

Error	Segments	Branch
11.1b	4	`x`
10.7b	2	`y`
9.6b	5	`z`
9.6b	5	`(-.f64 1 z)`
9.6b	5	`(-.f64 1 z)`

Compiler

Compiled 55 to 34 computations (38.2% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.555689565014485e+230	6.65631511319346e+241
0.0ms	1.0	1.0000000001311824
0.0ms	0.9999999999987544	1.0
1.0ms	-3.886112951683335e+63	-2.1780076914169268e+61

Compiler

Compiled 16 to 12 computations (25% saved)

regimes152.0ms (4.2%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

74.0ms	y
53.0ms	x
24.0ms	z

Results

Error	Segments	Branch
21.4b	7	`x`
24.8b	5	`y`
10.5b	5	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch198.0ms (5.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
103.0ms	2.1780076914169268e+61	3.886112951683335e+63
34.0ms	0.04926273631980786	1796.159896133148
15.0ms	-90.52824959493338	-1.311824313778083e-10
45.0ms	-6.65631511319346e+241	-1.555689565014485e+230

Compiler

Compiled 288 to 216 computations (25% saved)

regimes65.0ms (1.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	y
11.0ms	z
11.0ms	x

Results

Error	Segments	Branch
26.0b	3	`x`
24.8b	5	`y`
15.7b	3	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch56.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.04926273631980786	1796.159896133148
17.0ms	-399338645.6769561	-11255.688243853718

Compiler

Compiled 16 to 12 computations (25% saved)

regimes12.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

4.0ms	y
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
28.0b	1	`x`
28.0b	1	`y`
28.0b	1	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes40.0ms (1.1%)

Accuracy

Total -29.3b remaining (-89.1%)

Threshold costs -29.3b (-89.1%)

Counts

2 → 6

Calls

Call 1

Inputs
x
y

Outputs
x
y
x
y
x
y

Calls

3 calls:

18.0ms	x
13.0ms	z
8.0ms	y

Results

Error	Segments	Branch
32.9b	6	`x`
33.8b	2	`y`
40.4b	4	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch122.0ms (3.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
32.0ms	-5.0140733100900255e-203	-2.4749888059516782e-203
16.0ms	-7.212198100029341e-160	-5.637777336557376e-162
16.0ms	-1.853948378153427e-77	-1.4017736639506651e-77
39.0ms	-4.309502224425701e-31	-5.22447272108831e-33
18.0ms	-2.133560027286674e-9	-2.383422174859475e-12

Compiler

Compiled 16 to 12 computations (25% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	237
1	80	237
2	101	237
3	119	237
4	130	237
5	133	237

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 (-.f64 1 z) -1000) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 (-.f64 1 z) -2000000000000000115715919885453939654786757378350080876345294848) (.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 1) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 200000000000000019913288865201023437231763100507414480577789765776579364195499071025654713918229215546984886906708190909602092302883776676472069827821800205232568508296854048530351310393361885061141818578734690631767233383163232256) (.f64 y (-.f64 1 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -64999999999999994428887139341234122666332882808844283681484572260454768794898472400883953020806700929539319948948547893223568785442519368136043940165673528929220191295918962553512288941785990915023547511462490138437115621802334774553204490240) (.f64 x (neg.f64 z)) (if (<=.f64 z -3185179618298791/35184372088832) (.f64 y (neg.f64 z)) (if (<=.f64 z 3549754254930203/72057594037927936) (+.f64 y x) (if (<=.f64 z 22000000000000000313764669241588296131486159691790157990592512) (.f64 y (neg.f64 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -6699790715669759/16777216) (.f64 x (neg.f64 z)) (if (<=.f64 z 3549754254930203/72057594037927936) (+.f64 y x) (.f64 x (neg.f64 z))))
(+.f64 y x)
(if (<=.f64 x -2579315804684553/1208925819614629174706176) x (if (<=.f64 x -4920581685218227/11417981541647679048466287755595961091061972992) y (if (<=.f64 x -1208499054260961/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) x (if (<=.f64 x -1427036681267055/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) y (if (<=.f64 x -8849883136050343/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) x y)))))
x

Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 x y))
(if (<=.f64 (-.f64 1 z) -1000) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 (-.f64 1 z) -1000) (.f64 (+.f64 x y) (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (.f64 (+.f64 x y) (neg.f64 z))))
(if (<=.f64 (-.f64 1 z) -1000) (.f64 z (neg.f64 (+.f64 x y))) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (.f64 z (neg.f64 (+.f64 x y)))))
(if (<=.f64 (-.f64 1 z) -1000) (.f64 z (-.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 x y) (.f64 z (-.f64 (neg.f64 x) y))))
(if (<=.f64 (-.f64 1 z) -2000000000000000115715919885453939654786757378350080876345294848) (.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 1) (+.f64 y x) (if (<=.f64 (-.f64 1 z) 200000000000000019913288865201023437231763100507414480577789765776579364195499071025654713918229215546984886906708190909602092302883776676472069827821800205232568508296854048530351310393361885061141818578734690631767233383163232256) (.f64 y (-.f64 1 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 (-.f64 1 z) -2000000000000000115715919885453939654786757378350080876345294848) (.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) 1) (.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 1) (+.f64 x y) (if (<=.f64 (-.f64 1 z) 200000000000000019913288865201023437231763100507414480577789765776579364195499071025654713918229215546984886906708190909602092302883776676472069827821800205232568508296854048530351310393361885061141818578734690631767233383163232256) (.f64 y (-.f64 1 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -64999999999999994428887139341234122666332882808844283681484572260454768794898472400883953020806700929539319948948547893223568785442519368136043940165673528929220191295918962553512288941785990915023547511462490138437115621802334774553204490240) (.f64 x (neg.f64 z)) (if (<=.f64 z -3185179618298791/35184372088832) (.f64 y (neg.f64 z)) (if (<=.f64 z 3549754254930203/72057594037927936) (+.f64 y x) (if (<=.f64 z 22000000000000000313764669241588296131486159691790157990592512) (.f64 y (neg.f64 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -64999999999999994428887139341234122666332882808844283681484572260454768794898472400883953020806700929539319948948547893223568785442519368136043940165673528929220191295918962553512288941785990915023547511462490138437115621802334774553204490240) (.f64 x (neg.f64 z)) (if (<=.f64 z -3185179618298791/35184372088832) (.f64 y (neg.f64 z)) (if (<=.f64 z 3549754254930203/72057594037927936) (+.f64 x y) (if (<=.f64 z 22000000000000000313764669241588296131486159691790157990592512) (.f64 y (neg.f64 z)) (.f64 x (neg.f64 z))))))
(if (<=.f64 z -6699790715669759/16777216) (.f64 x (neg.f64 z)) (if (<=.f64 z 3549754254930203/72057594037927936) (+.f64 y x) (.f64 x (neg.f64 z))))
(if (<=.f64 z -6699790715669759/16777216) (.f64 x (neg.f64 z)) (if (<=.f64 z 3549754254930203/72057594037927936) (+.f64 x y) (.f64 x (neg.f64 z))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 x -2579315804684553/1208925819614629174706176) x (if (<=.f64 x -4920581685218227/11417981541647679048466287755595961091061972992) y (if (<=.f64 x -1208499054260961/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) x (if (<=.f64 x -1427036681267055/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) y (if (<=.f64 x -8849883136050343/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) x y)))))
x

end83.0ms (2.3%)

Stop Event

1×

fuel

Remove

(sort x y)

Compiler

Compiled 373 to 208 computations (44.2% saved)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Iter	Nodes	Cost
0	13	426
1	33	306
2	81	306
3	121	306
4	200	306
5	362	306
6	547	306
7	596	306
8	600	306

Iter	Nodes	Cost
0	17	306
1	44	306
2	85	306
3	116	306
4	219	306
5	366	306
6	567	306
7	614	306
8	618	306

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Iter	Nodes	Cost
0	13	426
1	33	306
2	81	306
3	121	306
4	200	306
5	362	306
6	547	306
7	596	306
8	600	306

Iter	Nodes	Cost
0	17	306
1	44	306
2	85	306
3	116	306
4	219	306
5	366	306
6	567	306
7	614	306
8	618	306

Details

analyze198.0ms (5.5%)

sample954.0ms (26.4%)

preprocess91.0ms (2.5%)

simplify30.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite41.0ms (1.1%)

simplify39.0ms (1.1%)

eval10.0ms (0.3%)

prune12.0ms (0.3%)

localize11.0ms (0.3%)

series8.0ms (0.2%)

rewrite59.0ms (1.6%)

simplify46.0ms (1.3%)

localize33.0ms (0.9%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

simplify5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite0.0ms (0%)

simplify5.0ms (0.1%)

localize18.0ms (0.5%)

series2.0ms (0.1%)

rewrite35.0ms (1%)

simplify16.0ms (0.4%)

eval172.0ms (4.7%)

prune70.0ms (1.9%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite45.0ms (1.2%)

simplify42.0ms (1.2%)

localize5.0ms (0.1%)

localize4.0ms (0.1%)

localize24.0ms (0.7%)

series5.0ms (0.1%)

rewrite36.0ms (1%)

simplify25.0ms (0.7%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite53.0ms (1.5%)

simplify59.0ms (1.6%)

eval108.0ms (3%)

prune55.0ms (1.5%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite59.0ms (1.6%)

simplify30.0ms (0.8%)

localize26.0ms (0.7%)

series3.0ms (0.1%)

rewrite39.0ms (1.1%)

simplify22.0ms (0.6%)

eval22.0ms (0.6%)

prune17.0ms (0.5%)

regimes55.0ms (1.5%)

regimes98.0ms (2.7%)

bsearch0.0ms (0%)

regimes127.0ms (3.5%)

bsearch1.0ms (0%)

regimes152.0ms (4.2%)

bsearch198.0ms (5.5%)

regimes65.0ms (1.8%)

bsearch56.0ms (1.5%)

regimes12.0ms (0.3%)

regimes40.0ms (1.1%)

bsearch122.0ms (3.4%)

simplify8.0ms (0.2%)

end83.0ms (2.3%)

Profiling

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	361	160
7	441	160
8	510	160
9	516	160

Iter	Nodes	Cost
0	13	426
1	33	306
2	81	306
3	121	306
4	200	306
5	362	306
6	547	306
7	596	306
8	600	306

Iter	Nodes	Cost
0	17	306
1	44	306
2	85	306
3	116	306
4	219	306
5	366	306
6	567	306
7	614	306
8	618	306