Details

analyze620.0ms (16.5%)

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
25%	71.8%	3.3%	9
34.3%	60.1%	5.6%	10
41.3%	51.5%	7.2%	11
46.8%	44.1%	9.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.6s (41.5%)

Results

1.3s	8256×	body	256	valid
217.0ms	1234×	body	256	invalid

preprocess95.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

768×	`fma-neg_binary64`
441×	`fma-def_binary64`
180×	`cancel-sign-sub-inv_binary64`
127×	`distribute-rgt-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	44	44
2	88	44
3	152	44
4	338	36
5	681	32
6	1139	32
7	1866	32
8	2487	32
9	2785	32
10	2860	32
11	2861	32
12	2861	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	961	8
9	1141	8
10	1201	8
11	1211	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify26.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	202
1	21	160
2	41	160
3	63	160
4	112	160
5	199	160
6	348	160
7	427	160
8	495	160
9	501	160

Stop Event

1×

saturated

Counts

41 → 23

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
686×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1797	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

422×	`fma-def_binary64`
271×	`fma-neg_binary64`
63×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`
40×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	270
1	60	264
2	116	264
3	230	264
4	403	264
5	771	264
6	1141	264
7	1370	264
8	1380	264

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

eval11.0ms (0.3%)

Compiler: Compiled 592 to 233 computations (60.6% saved)

prune13.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	51	7	58

Error

Counts

58 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.3b	(+.f64 y (*.f64 x z))
▶	39.1b	(*.f64 z x)
▶	23.6b	(-.f64 y (*.f64 y x))
▶	31.0b	(*.f64 (-.f64 z y) x)
▶	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
	32.5b	y
	31.0b	(+.f64 (.f64 x (neg.f64 y)) (.f64 x z))

Compiler

Compiled 106 to 67 computations (36.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	5
2	1779	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	159
1	9	159
2	10	159

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

eval15.0ms (0.4%)

Compiler: Compiled 890 to 299 computations (66.4% saved)

prune17.0ms (0.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	1	2
Picked	0	1	1
Done	0	4	4
Total	87	8	95

Error

Counts

95 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.3b	(+.f64 y (*.f64 x z))
✓	39.1b	(*.f64 z x)
✓	23.6b	(-.f64 y (*.f64 y x))
▶	31.0b	(+.f64 (.f64 z x) (.f64 (neg.f64 y) x))
✓	31.0b	(*.f64 (-.f64 z y) x)
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
	32.5b	y
▶	54.2b	(*.f64 y (neg.f64 x))

Compiler

Compiled 62 to 40 computations (35.5% saved)

localize5.0ms (0.1%)

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

localize8.0ms (0.2%)

Compiler: Compiled 23 to 7 computations (69.6% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.3b	(+.f64 y (*.f64 x z))
✓	39.1b	(*.f64 z x)
✓	23.6b	(-.f64 y (*.f64 y x))
✓	31.0b	(+.f64 (.f64 z x) (.f64 (neg.f64 y) x))
✓	31.0b	(*.f64 (-.f64 z y) x)
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
	32.5b	y
✓	54.2b	(*.f64 y (neg.f64 x))

Compiler

Compiled 62 to 40 computations (35.5% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.3b	(+.f64 y (*.f64 x z))
✓	39.1b	(*.f64 z x)
✓	23.6b	(-.f64 y (*.f64 y x))
✓	31.0b	(+.f64 (.f64 z x) (.f64 (neg.f64 y) x))
✓	31.0b	(*.f64 (-.f64 z y) x)
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
	32.5b	y
✓	54.2b	(*.f64 y (neg.f64 x))

Compiler

Compiled 62 to 40 computations (35.5% saved)

regimes31.0ms (0.8%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 88 to 40 computations (54.5% saved)

regimes42.0ms (1.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
13.0ms	x
13.0ms	y

Results

Error	Segments	Branch
1.6b	3	`x`
8.2b	3	`y`
4.8b	3	`z`

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch37.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.319254274332656e-5	48.04864713860373
18.0ms	-7.452802723478858	-3.8984196462695966

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes47.0ms (1.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
12.0ms	y
12.0ms	z

Results

Error	Segments	Branch
6.6b	5	`x`
8.2b	3	`y`
4.8b	3	`z`

Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch36.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.895946965129719e-147	3.427012091617987e-147
18.0ms	-2.7251465681942692e-235	-1.572816779410406e-238

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes56.0ms (1.5%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
6.6b	5	`x`
9.3b	1	`y`
9.3b	1	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch187.0ms (5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	4.525852594382682e+267	1.0228818835444816e+270
75.0ms	6.405061451287858e+65	5.99494060156986e+67
55.0ms	-5.914652800863627e+134	-2.899715305310858e+131
42.0ms	-1.4107019374640826e+167	-3.1965128649526155e+165

Compiler

Compiled 497 to 354 computations (28.8% saved)

regimes61.0ms (1.6%)

Counts

3 → 9

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	x
19.0ms	z
13.0ms	y

Results

Error	Segments	Branch
16.5b	9	`x`
20.9b	3	`y`
23.7b	5	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch229.0ms (6.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
15.0ms	4.525852594382682e+267	1.0228818835444816e+270
56.0ms	6.405061451287858e+65	5.99494060156986e+67
18.0ms	2.651360217175154e-28	1.2494908106235227e-25
18.0ms	4.268102414692296e-135	1.1299951090979965e-128
18.0ms	6.861536268463632e-155	2.106107471649781e-152
26.0ms	-6.507492726819882e-27	-7.721427871944005e-32
50.0ms	-5.914652800863627e+134	-2.899715305310858e+131
27.0ms	-1.4107019374640826e+167	-3.1965128649526155e+165

Compiler

Compiled 453 to 332 computations (26.7% saved)

regimes38.0ms (1%)

Accuracy

Total -42.7b remaining (-222.4%)

Threshold costs -42.7b (-222.4%)

Counts

2 → 5

Calls

Call 1

Inputs
y
(*.f64 z x)

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

Calls

3 calls:

14.0ms	x
12.0ms	y
11.0ms	z

Results

Error	Segments	Branch
19.2b	5	`x`
20.9b	3	`y`
24.7b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch72.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	2.651360217175154e-28	1.2494908106235227e-25
18.0ms	4.268102414692296e-135	1.1299951090979965e-128
19.0ms	6.861536268463632e-155	2.106107471649781e-152
18.0ms	-6.507492726819882e-27	-7.721427871944005e-32

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	251
1	75	251
2	84	251
3	89	251
4	91	251

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -8391109892081301/1125899906842624) (.f64 (-.f64 z y) x) (if (<=.f64 x 3924916890464005/73786976294838206464) (+.f64 y (.f64 x z)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 z -7804521073027745/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 y (.f64 x z)) (if (<=.f64 z 166766281596001248/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (-.f64 y (.f64 y x)) (+.f64 y (*.f64 x z))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (+.f64 y (.f64 x z)) (if (<=.f64 x -580000000000000023050593554773565439779142005093243188608185766115369708888819040053524577190185751032641010359120651361266041125601280) (.f64 y (neg.f64 x)) (if (<=.f64 x 58000000000000004685728166649285905554169161743969893300912164700160) (+.f64 y (.f64 x z)) (if (<=.f64 x 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760) (.f64 y (neg.f64 x)) (*.f64 z x)))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (.f64 z x) (if (<=.f64 x -580000000000000023050593554773565439779142005093243188608185766115369708888819040053524577190185751032641010359120651361266041125601280) (.f64 y (neg.f64 x)) (if (<=.f64 x -2267530268470335/348449143727040986586495598010130648530944) (.f64 z x) (if (<=.f64 x 16970665200013776896/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) y (if (<=.f64 x 6985583178896303/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 z x) (if (<=.f64 x 5912730863274393/22300745198530623141535718272648361505980416) y (if (<=.f64 x 58000000000000004685728166649285905554169161743969893300912164700160) (.f64 z x) (if (<=.f64 x 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760) (.f64 y (neg.f64 x)) (*.f64 z x)))))))))
(if (<=.f64 x -2267530268470335/348449143727040986586495598010130648530944) (.f64 z x) (if (<=.f64 x 16970665200013776896/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) y (if (<=.f64 x 6985583178896303/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 z x) (if (<=.f64 x 5912730863274393/22300745198530623141535718272648361505980416) y (*.f64 z x)))))
y

Outputs
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 y (*.f64 (-.f64 z y) x))
(if (<=.f64 x -8391109892081301/1125899906842624) (.f64 (-.f64 z y) x) (if (<=.f64 x 3924916890464005/73786976294838206464) (+.f64 y (.f64 x z)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -8391109892081301/1125899906842624) (.f64 (-.f64 z y) x) (if (<=.f64 x 3924916890464005/73786976294838206464) (+.f64 y (.f64 z x)) (*.f64 (-.f64 z y) x)))
(if (<=.f64 z -7804521073027745/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 y (.f64 x z)) (if (<=.f64 z 166766281596001248/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (-.f64 y (.f64 y x)) (+.f64 y (*.f64 x z))))
(if (<=.f64 z -7804521073027745/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 y (.f64 z x)) (if (<=.f64 z 5211446299875039/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (-.f64 y (.f64 y x)) (+.f64 y (*.f64 z x))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (+.f64 y (.f64 x z)) (if (<=.f64 x -580000000000000023050593554773565439779142005093243188608185766115369708888819040053524577190185751032641010359120651361266041125601280) (.f64 y (neg.f64 x)) (if (<=.f64 x 58000000000000004685728166649285905554169161743969893300912164700160) (+.f64 y (.f64 x z)) (if (<=.f64 x 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760) (.f64 y (neg.f64 x)) (*.f64 z x)))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (+.f64 y (.f64 z x)) (if (<=.f64 x -580000000000000023050593554773565439779142005093243188608185766115369708888819040053524577190185751032641010359120651361266041125601280) (.f64 y (neg.f64 x)) (if (<=.f64 x 58000000000000004685728166649285905554169161743969893300912164700160) (+.f64 y (.f64 z x)) (if (<=.f64 x 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760) (.f64 y (neg.f64 x)) (*.f64 z x)))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (+.f64 y (.f64 z x)) (if (<=.f64 x -580000000000000023050593554773565439779142005093243188608185766115369708888819040053524577190185751032641010359120651361266041125601280) (.f64 x (neg.f64 y)) (if (<=.f64 x 58000000000000004685728166649285905554169161743969893300912164700160) (+.f64 y (.f64 z x)) (if (<=.f64 x 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760) (.f64 x (neg.f64 y)) (*.f64 z x)))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (.f64 z x) (if (<=.f64 x -580000000000000023050593554773565439779142005093243188608185766115369708888819040053524577190185751032641010359120651361266041125601280) (.f64 y (neg.f64 x)) (if (<=.f64 x -2267530268470335/348449143727040986586495598010130648530944) (.f64 z x) (if (<=.f64 x 16970665200013776896/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) y (if (<=.f64 x 6985583178896303/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 z x) (if (<=.f64 x 5912730863274393/22300745198530623141535718272648361505980416) y (if (<=.f64 x 58000000000000004685728166649285905554169161743969893300912164700160) (.f64 z x) (if (<=.f64 x 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760) (.f64 y (neg.f64 x)) (*.f64 z x)))))))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (.f64 z x) (if (<=.f64 x -580000000000000023050593554773565439779142005093243188608185766115369708888819040053524577190185751032641010359120651361266041125601280) (.f64 y (neg.f64 x)) (if (<=.f64 x -2267530268470335/348449143727040986586495598010130648530944) (.f64 z x) (if (<=.f64 x 8286457617194227/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) y (if (<=.f64 x 6985583178896303/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 z x) (if (<=.f64 x 5912730863274393/22300745198530623141535718272648361505980416) y (if (<=.f64 x 58000000000000004685728166649285905554169161743969893300912164700160) (.f64 z x) (if (<=.f64 x 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760) (.f64 y (neg.f64 x)) (*.f64 z x)))))))))
(if (<=.f64 x -3200000000000000005706719835481338768466036561929644566742448888644144091129278513985499865577097475196060705159071303540601844673012115950520101864082030316996263936) (.f64 z x) (if (<=.f64 x -580000000000000023050593554773565439779142005093243188608185766115369708888819040053524577190185751032641010359120651361266041125601280) (.f64 x (neg.f64 y)) (if (<=.f64 x -2267530268470335/348449143727040986586495598010130648530944) (.f64 z x) (if (<=.f64 x 8286457617194227/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) y (if (<=.f64 x 6985583178896303/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 z x) (if (<=.f64 x 5912730863274393/22300745198530623141535718272648361505980416) y (if (<=.f64 x 58000000000000004685728166649285905554169161743969893300912164700160) (.f64 z x) (if (<=.f64 x 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760) (.f64 x (neg.f64 y)) (*.f64 z x)))))))))
(if (<=.f64 x -2267530268470335/348449143727040986586495598010130648530944) (.f64 z x) (if (<=.f64 x 16970665200013776896/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) y (if (<=.f64 x 6985583178896303/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 z x) (if (<=.f64 x 5912730863274393/22300745198530623141535718272648361505980416) y (*.f64 z x)))))
(if (<=.f64 x -2267530268470335/348449143727040986586495598010130648530944) (.f64 z x) (if (<=.f64 x 8286457617194227/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) y (if (<=.f64 x 6985583178896303/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 z x) (if (<=.f64 x 5912730863274393/22300745198530623141535718272648361505980416) y (*.f64 z x)))))
y

Compiler

Compiled 196 to 100 computations (49% saved)

soundness75.0ms (2%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	961	8
9	1141	8
10	1201	8
11	1211	8

Stop Event

1×

saturated

Compiler

Compiled 197 to 126 computations (36% saved)

end63.0ms (1.7%)

Compiler: Compiled 178 to 72 computations (59.6% saved)

Iter	Nodes	Cost
0	10	202
1	21	160
2	41	160
3	63	160
4	112	160
5	199	160
6	348	160
7	427	160
8	495	160
9	501	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Iter	Nodes	Cost
0	10	202
1	21	160
2	41	160
3	63	160
4	112	160
5	199	160
6	348	160
7	427	160
8	495	160
9	501	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Details

analyze620.0ms (16.5%)

sample1.6s (41.5%)

preprocess95.0ms (2.5%)

simplify40.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite54.0ms (1.4%)

simplify26.0ms (0.7%)

localize6.0ms (0.2%)

series5.0ms (0.1%)

rewrite52.0ms (1.4%)

simplify39.0ms (1%)

eval11.0ms (0.3%)

prune13.0ms (0.3%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite49.0ms (1.3%)

simplify27.0ms (0.7%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite53.0ms (1.4%)

simplify12.0ms (0.3%)

localize5.0ms (0.1%)

eval15.0ms (0.4%)

prune17.0ms (0.4%)

localize5.0ms (0.1%)

localize8.0ms (0.2%)

eval0.0ms (0%)

prune4.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes31.0ms (0.8%)

regimes42.0ms (1.1%)

bsearch37.0ms (1%)

regimes47.0ms (1.3%)

bsearch36.0ms (1%)

regimes56.0ms (1.5%)

bsearch187.0ms (5%)

regimes61.0ms (1.6%)

bsearch229.0ms (6.1%)

regimes38.0ms (1%)

bsearch72.0ms (1.9%)

simplify14.0ms (0.4%)

soundness75.0ms (2%)

end63.0ms (1.7%)

Profiling

Iter	Nodes	Cost
0	10	202
1	21	160
2	41	160
3	63	160
4	112	160
5	199	160
6	348	160
7	427	160
8	495	160
9	501	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156