Details

analyze358.0ms (4.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
38.3%	35.9%	57.7%	0.1%	6.2%	0%	0%	10
45.8%	42.9%	50.7%	0.1%	6.2%	0%	0%	11
53.4%	48.8%	42.5%	0.1%	8.6%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.9s (22.6%)

Results

1.7s	8256×	body	256	valid
208.0ms	839×	body	256	infinite

Bogosity

preprocess96.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

754×	`fma-def_binary64`
220×	`fma-neg_binary64`
83×	`distribute-rgt-in_binary64`
81×	`unsub-neg_binary64`
57×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	44	40
2	88	40
3	179	40
4	367	40
5	544	40
6	726	40
7	966	40
8	1710	40
9	1752	40
10	1829	40
11	1829	40
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

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

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

Symmetry

(sort y z)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

419×	`fma-def_binary64`
121×	`fma-neg_binary64`
46×	`associate-r_binary64`
45×	`distribute-rgt-in_binary64`
43×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	34	10
3	80	10
4	231	10
5	310	10
6	422	10
7	555	10
8	887	10
9	1016	10
10	1095	10
11	1115	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (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

3.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(.f64 x (-.f64 1 (.f64 y z)))

Compiler

Compiled 10 to 7 computations (30% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 y z))
✓	3.4b	(.f64 x (-.f64 1 (.f64 y z)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series13.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite104.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
760×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	164	17
2	2055	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

Outputs

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

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

440×	`fma-def_binary64`
125×	`fma-neg_binary64`
48×	`associate-l_binary64`
48×	`cancel-sign-sub-inv_binary64`
47×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	490
1	36	490
2	85	490
3	175	490
4	273	490
5	422	490
6	729	490
7	863	490
8	1081	490
9	1171	490

Stop Event

1×

saturated

Counts

107 → 58

Calls

Call 1

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

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

eval32.0ms (0.4%)

Compiler: Compiled 682 to 363 computations (46.8% saved)

prune26.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Error

0.0b

Counts

59 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.7b	(.f64 z (.f64 x (neg.f64 y)))
✓	3.6b	(.f64 x (-.f64 1 (.f64 y z)))
	24.7b	x
▶	5.2b	(-.f64 x (.f64 y (.f64 z x)))
▶	3.6b	(+.f64 x (.f64 (.f64 y (neg.f64 z)) x))
▶	41.6b	(.f64 x (.f64 z (neg.f64 y)))

Compiler

Compiled 53 to 35 computations (34% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(.f64 x (.f64 z (neg.f64 y)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series14.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 x (.f64 z (neg.f64 y)))
3.0ms	x	@	0	(.f64 x (.f64 z (neg.f64 y)))
2.0ms	y	@	0	(.f64 x (.f64 z (neg.f64 y)))
2.0ms	z	@	inf	(.f64 x (.f64 z (neg.f64 y)))
2.0ms	z	@	0	(.f64 x (.f64 z (neg.f64 y)))

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
565×	`add-log-exp_binary64`
564×	`log1p-expm1-u_binary64`
564×	`expm1-log1p-u_binary64`
552×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	7
2	1867	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

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

Outputs

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

244×	`fma-def_binary64`
22×	`associate-l_binary64`
21×	`sub-neg_binary64`
20×	`distribute-rgt-in_binary64`
18×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Stop Event

1×

saturated

Counts

48 → 14

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(.f64 z (.f64 x (neg.f64 y)))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
565×	`add-log-exp_binary64`
564×	`log1p-expm1-u_binary64`
564×	`expm1-log1p-u_binary64`
552×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	7
2	1867	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

244×	`fma-def_binary64`
22×	`associate-l_binary64`
21×	`sub-neg_binary64`
20×	`distribute-rgt-in_binary64`
18×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Stop Event

1×

saturated

Counts

48 → 14

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 y (neg.f64 z)) x))
✓	5.4b	(.f64 (.f64 y (neg.f64 z)) x)

Compiler

Compiled 26 to 7 computations (73.1% saved)

series26.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	z	@	-inf	(+.f64 x (.f64 (.f64 y (neg.f64 z)) x))
0.0ms	x	@	inf	(+.f64 x (.f64 (.f64 y (neg.f64 z)) x))
0.0ms	y	@	0	(.f64 (.f64 y (neg.f64 z)) x)
0.0ms	x	@	-inf	(+.f64 x (.f64 (.f64 y (neg.f64 z)) x))
0.0ms	y	@	inf	(.f64 (.f64 y (neg.f64 z)) x)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`pow1_binary64`
798×	`add-log-exp_binary64`
796×	`log1p-expm1-u_binary64`
796×	`expm1-log1p-u_binary64`
780×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	177	15
2	2625	15

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
109×	`fma-neg_binary64`
76×	`associate-l_binary64`
56×	`associate-r_binary64`
54×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	722
1	42	662
2	107	662
3	234	662
4	375	662
5	594	662
6	1093	662
7	1134	662

Stop Event

1×

saturated

Counts

129 → 63

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 y (.f64 z x)))
✓	7.1b	(.f64 y (.f64 z x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
808×	`add-log-exp_binary64`
808×	`log1p-expm1-u_binary64`
808×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	2205	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

440×	`fma-def_binary64`
125×	`fma-neg_binary64`
49×	`associate-l_binary64`
47×	`associate-r_binary64`
47×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	338
1	38	338
2	87	338
3	178	338
4	276	338
5	425	338
6	731	338
7	865	338
8	1081	338
9	1171	338

Stop Event

1×

saturated

Counts

86 → 57

Calls

Call 1

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

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

eval56.0ms (0.7%)

Compiler: Compiled 1789 to 619 computations (65.4% saved)

prune22.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	144	4	148
Fresh	1	0	1
Picked	1	0	1
Done	2	2	4
Total	148	6	154

Error

0.0b

Counts

154 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.7b	(.f64 z (.f64 x (neg.f64 y)))
▶	28.5b	(-.f64 x (pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2))
▶	41.7b	(.f64 y (neg.f64 (.f64 z x)))
	24.7b	x
▶	3.6b	(-.f64 x (.f64 (.f64 y z) x))
✓	41.6b	(.f64 x (.f64 z (neg.f64 y)))

Compiler

Compiled 54 to 36 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(.f64 y (neg.f64 (.f64 z x)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`pow1_binary64`
579×	`add-log-exp_binary64`
578×	`log1p-expm1-u_binary64`
578×	`expm1-log1p-u_binary64`
567×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	7
2	1904	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

244×	`fma-def_binary64`
22×	`associate-l_binary64`
21×	`sub-neg_binary64`
20×	`distribute-rgt-in_binary64`
18×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Stop Event

1×

saturated

Counts

49 → 15

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y z) x))
✓	5.4b	(.f64 (.f64 y z) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series15.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	2208	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

440×	`fma-def_binary64`
125×	`fma-neg_binary64`
48×	`associate-l_binary64`
48×	`cancel-sign-sub-inv_binary64`
47×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	590
1	38	590
2	87	590
3	178	590
4	276	590
5	425	590
6	731	590
7	864	590
8	1082	590
9	1172	590

Stop Event

1×

saturated

Counts

124 → 60

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)
	7.1b	(.f64 y (.f64 z x))
✓	8.1b	(sqrt.f64 (.f64 y (.f64 z x)))

Compiler

Compiled 39 to 12 computations (69.2% saved)

series18.0ms (0.2%)

Counts

2 → 0

Calls

18 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	185	16
2	1903	16

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(sqrt.f64 (.f64 y (.f64 z x)))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2)

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

61 → 61

Calls

Call 1

Inputs

Outputs

eval26.0ms (0.3%)

Compiler: Compiled 1875 to 583 computations (68.9% saved)

prune27.0ms (0.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	145	8	153

Error

0.0b

Counts

153 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(-.f64 x (pow.f64 (pow.f64 (pow.f64 (.f64 y (.f64 z x)) 1/4) 2) 2))
	24.7b	x
▶	50.0b	(-.f64 x (.f64 (.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)))
✓	3.6b	(-.f64 x (.f64 (.f64 y z) x))
✓	40.7b	(.f64 z (.f64 x (neg.f64 y)))
✓	28.5b	(-.f64 x (pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2))
✓	41.7b	(.f64 y (neg.f64 (.f64 z x)))
✓	41.6b	(.f64 x (.f64 z (neg.f64 y)))

Compiler

Compiled 84 to 56 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)))
✓	0.3b	(.f64 (.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
✓	1.2b	(.f64 (.f64 z x) (sqrt.f64 y))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series16.0ms (0.2%)

Counts

3 → 96

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(.f64 (.f64 z x) (sqrt.f64 y))
2.0ms	y	@	-inf	(.f64 (.f64 z x) (sqrt.f64 y))
1.0ms	y	@	-inf	(.f64 (.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
1.0ms	y	@	0	(.f64 (.f64 z x) (sqrt.f64 y))
1.0ms	z	@	0	(.f64 (.f64 z x) (sqrt.f64 y))

rewrite122.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
563×	`log-prod_binary64`
420×	`pow-prod-down_binary64`
259×	`pow2_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	195	26
2	2699	26

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (neg.f64 y) x)) (sqrt.f64 (fma.f64 (*.f64 z x) (neg.f64 y) x)) (fma.f64 (*.f64 (*.f64 z x) (neg.f64 y)) 1 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (neg.f64 y) x)) (sqrt.f64 (fma.f64 (*.f64 z x) (neg.f64 y) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2) (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (*.f64 z x) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (*.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (*.f64 x y)) (fma.f64 z (*.f64 x y) x) (*.f64 x x))) (fma.f64 (neg.f64 y) (*.f64 z x) (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 x y)) 2)) (/.f64 1 (fma.f64 z (*.f64 x y) x)) (+.f64 (*.f64 (*.f64 z x) (neg.f64 y)) (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 x y)) 2)) (/.f64 1 (fma.f64 z (*.f64 x y) x)) (fma.f64 (*.f64 (*.f64 z x) (neg.f64 y)) 1 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 x y)) 2)) (/.f64 1 (fma.f64 z (*.f64 x y) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2) (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (*.f64 x (sqrt.f64 y))) (sqrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z x) (neg.f64 y))) 2) (cbrt.f64 (*.f64 (*.f64 z x) (neg.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 z x) (neg.f64 y))) (sqrt.f64 (*.f64 (*.f64 z x) (neg.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 z (*.f64 x (sqrt.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) (sqrt.f64 (*.f64 z (*.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (*.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (*.f64 x y)))) (fma.f64 (neg.f64 y) (*.f64 z x) (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (*.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (*.f64 x y)))) (+.f64 (*.f64 (*.f64 z x) (neg.f64 y)) (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (*.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (*.f64 x y)))) (fma.f64 (*.f64 (*.f64 z x) (neg.f64 y)) 1 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (*.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (*.f64 x y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2) (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 z x)) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2)) (cbrt.f64 (*.f64 z (*.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (neg.f64 z) (*.f64 x (sqrt.f64 y))) 1) (sqrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (neg.f64 z) (*.f64 x (sqrt.f64 y))) (cbrt.f64 y)) (pow.f64 y 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (neg.f64 z) (*.f64 x (sqrt.f64 y))) (pow.f64 y 1/4)) (pow.f64 y 1/4) x)))))

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

465×	`distribute-rgt-neg-in_binary64`
427×	`cube-prod_binary64`
330×	`distribute-lft-neg-in_binary64`
317×	`cancel-sign-sub-inv_binary64`
299×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	798
1	62	798
2	167	798
3	410	798
4	1316	798
5	3292	798
6	4692	798
7	5234	798
8	5717	798
9	7145	798

Stop Event

1×

unsound

Counts

318 → 234

Calls

Call 1

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

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (pow.f64 (pow.f64 (.f64 y (.f64 z x)) 1/4) 2) 2)
✓	0.2b	(pow.f64 (pow.f64 (.f64 y (.f64 z x)) 1/4) 2)
	7.1b	(.f64 y (.f64 z x))
✓	9.4b	(pow.f64 (.f64 y (.f64 z x)) 1/4)

Compiler

Compiled 56 to 26 computations (53.6% saved)

series220.0ms (2.6%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
69.0ms	z	@	-inf	(pow.f64 (.f64 y (.f64 z x)) 1/4)
52.0ms	y	@	0	(pow.f64 (.f64 y (.f64 z x)) 1/4)
18.0ms	y	@	-inf	(pow.f64 (.f64 y (.f64 z x)) 1/4)
14.0ms	x	@	inf	(pow.f64 (.f64 y (.f64 z x)) 1/4)
14.0ms	x	@	-inf	(pow.f64 (.f64 y (.f64 z x)) 1/4)

rewrite104.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
109×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	238	26
2	2706	26

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(pow.f64 (.f64 y (.f64 z x)) 1/4)
(pow.f64 (pow.f64 (.f64 y (.f64 z x)) 1/4) 2)
(pow.f64 (pow.f64 (pow.f64 (.f64 y (.f64 z x)) 1/4) 2) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 z (*.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) (cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/8) (pow.f64 (*.f64 z (*.f64 x y)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/4) (pow.f64 (*.f64 z x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z x) 1/4) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (*.f64 x y)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 z (*.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) 1/4) (pow.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/4) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 z (*.f64 x y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (*.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4) (pow.f64 (*.f64 z (*.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) (cbrt.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4)) (pow.f64 (*.f64 z (*.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/8) (*.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/8) (pow.f64 (*.f64 z (*.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/4) (*.f64 (pow.f64 (*.f64 z x) 1/4) (pow.f64 (*.f64 z (*.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4) (pow.f64 (*.f64 z (*.f64 x y)) 1/8)) (pow.f64 (*.f64 z (*.f64 x y)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y 1/4) (pow.f64 y 1/4)) (*.f64 (pow.f64 (*.f64 z x) 1/4) (pow.f64 (*.f64 z x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 1/4) 2) (pow.f64 (pow.f64 (*.f64 z x) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y))))) (cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4) (pow.f64 y 1/4)) (pow.f64 (*.f64 z x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4) (pow.f64 (*.f64 z (*.f64 x y)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (sqrt.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (*.f64 x y)) 3/4) (pow.f64 (*.f64 z (*.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2) (cbrt.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) (sqrt.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))) 4) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/4)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/8) 4) (pow.f64 (pow.f64 (*.f64 z (*.f64 x y)) 1/8) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 1/4) 4) (pow.f64 (pow.f64 (*.f64 z x) 1/4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 x y))) (cbrt.f64 (*.f64 z (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (cbrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 x y))))))))

simplify107.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-def_binary64`
432×	`unswap-sqr_binary64`
382×	`associate-+r+_binary64`
373×	`associate-+l+_binary64`
272×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	2160
1	257	2124
2	681	1800
3	1922	1224

Stop Event

1×	node limit

Counts

197 → 122

Calls

Call 1

Inputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y x)) (log.f64 z)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y x)) (log.f64 z)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y x)) (log.f64 z)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y x)) (log.f64 z)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 4)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 4)

Outputs
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (log.f64 y))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 z x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y)))
(.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4))
(pow.f64 (.f64 z (.f64 y x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z))))))
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y))))
(.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4))
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1/4)
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(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (.f64 -1 (.f64 z x)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 z) (log.f64 (.f64 y x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 y x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -1 (.f64 y x))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (log.f64 x)))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 y z)) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 z x)) (log.f64 y))) 4)
(pow.f64 (.f64 (pow.f64 (.f64 z y) 1/4) (pow.f64 x 1/4)) 4)
(pow.f64 (.f64 z (.f64 y x)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (.f64 y z)))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (*.f64 z x))))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 z (neg.f64 x))) (log.f64 (/.f64 -1 y)))) 4)
(pow.f64 (.f64 (pow.f64 (/.f64 -1 y) -1/4) (pow.f64 (.f64 x (neg.f64 z)) 1/4)) 4)
(pow.f64 (/.f64 (*.f64 (neg.f64 z) x) (/.f64 -1 y)) 1)

eval258.0ms (3.1%)

Compiler: Compiled 8331 to 2700 computations (67.6% saved)

prune72.0ms (0.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	366	1	367
Fresh	1	0	1
Picked	0	1	1
Done	0	6	6
Total	367	8	375

Error

0.0b

Counts

375 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.0b	(-.f64 x (.f64 (.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)))
✓	3.6b	(-.f64 x (.f64 (.f64 y z) x))
✓	40.7b	(.f64 z (.f64 x (neg.f64 y)))
✓	28.5b	(-.f64 x (pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2))
✓	41.7b	(.f64 y (neg.f64 (.f64 z x)))
✓	28.6b	(-.f64 x (pow.f64 (pow.f64 (pow.f64 (.f64 y (.f64 z x)) 1/4) 2) 2))
✓	41.6b	(.f64 x (.f64 z (neg.f64 y)))
	24.7b	x

Compiler

Compiled 84 to 56 computations (33.3% saved)

regimes739.0ms (8.8%)

Counts

13 → 3

Calls

Call 1

Inputs
x
x
x
(.f64 y (neg.f64 (.f64 z x)))
(.f64 z (.f64 x (neg.f64 y)))
(.f64 x (.f64 z (neg.f64 y)))
(-.f64 x (.f64 (.f64 y z) x))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(+.f64 x (.f64 (.f64 y (neg.f64 z)) x))
(-.f64 x (pow.f64 (sqrt.f64 (.f64 y (.f64 z x))) 2))
(-.f64 x (.f64 (.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)))
(-.f64 x (pow.f64 (pow.f64 (pow.f64 (.f64 y (.f64 z x)) 1/4) 2) 2))

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

Calls

8 calls:

286.0ms	y
164.0ms	(-.f64 1 (*.f64 y z))
77.0ms	(-.f64 1 (*.f64 y z))
69.0ms	z
49.0ms	(*.f64 y z)

Results

Error	Segments	Branch
2.1b	3	`x`
2.3b	2	`y`
1.3b	4	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 y z)))`
0.1b	3	`(-.f64 1 (*.f64 y z))`
0.1b	3	`(-.f64 1 (*.f64 y z))`
0.1b	3	`(*.f64 y z)`
0.1b	3	`(*.f64 y z)`

Compiler

Compiled 137 to 74 computations (46% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0985001525284654e+125	1.8645369371365202e+142
0.0ms	-9.964021164383515e+198	-6.348634244046786e+185

Compiler

Compiled 16 to 12 computations (25% saved)

regimes127.0ms (1.5%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

83.0ms	x
26.0ms	y
16.0ms	z

Results

Error	Segments	Branch
17.4b	9	`x`
11.9b	5	`y`
15.2b	3	`z`

Compiler

Compiled 36 to 20 computations (44.4% saved)

bsearch933.0ms (11.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	1.739124318404653e-121	3.807543675793926e-119
341.0ms	-9.259664408594683e+61	-7.671037838700581e+60
164.0ms	-1.773292798963251e+126	-4.546745866192098e+123
377.0ms	-2.23157989886361e+138	-1.347572727639025e+132

Compiler

Compiled 361 to 265 computations (26.6% saved)

regimes173.0ms (2.1%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

86.0ms	y
53.0ms	z
30.0ms	x

Results

Error	Segments	Branch
18.7b	7	`x`
11.9b	5	`y`
15.2b	3	`z`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch556.0ms (6.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
33.0ms	1.739124318404653e-121	3.807543675793926e-119
178.0ms	-2.4473044492189314e+86	-1.1544234564815407e+86
206.0ms	-1.773292798963251e+126	-4.546745866192098e+123
138.0ms	-2.23157989886361e+138	-1.347572727639025e+132

Compiler

Compiled 346 to 254 computations (26.6% saved)

regimes149.0ms (1.8%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

71.0ms	x
45.0ms	y
31.0ms	z

Results

Error	Segments	Branch
18.7b	7	`x`
14.4b	5	`y`
15.7b	3	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch536.0ms (6.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	1.739124318404653e-121	3.807543675793926e-119
195.0ms	-1.2829157520485814e+91	-2.4473044492189314e+86
116.0ms	-1.773292798963251e+126	-4.546745866192098e+123
192.0ms	-2.23157989886361e+138	-1.347572727639025e+132

Compiler

Compiled 391 to 287 computations (26.6% saved)

regimes18.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

6.0ms	x
5.0ms	z
5.0ms	y

Results

Error	Segments	Branch
24.7b	1	`x`
24.7b	1	`y`
24.7b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	206
1	73	206
2	108	206
3	130	206
4	138	206
5	139	206

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y z) -5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176) (.f64 y (neg.f64 (.f64 z x))) (if (<=.f64 (.f64 y z) 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808) (-.f64 x (.f64 (.f64 y z) x)) (.f64 z (.f64 x (neg.f64 y)))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -89999999999999999726585254854541341201585959339692315725791232) (.f64 x (.f64 z (neg.f64 y))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (neg.f64 (.f64 z x)))))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -242000000000000011822723861971995818416457437795677067286754577099554586343806936809472) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (neg.f64 (.f64 z x)))))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 y (neg.f64 (.f64 z x))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -12500000000000000542216212182739825916128666561899241397397172366701460161121013886766546944) (.f64 y (neg.f64 (.f64 z x))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (neg.f64 (.f64 z x)))))))
x

Outputs
(if (<=.f64 (.f64 y z) -5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176) (.f64 y (neg.f64 (.f64 z x))) (if (<=.f64 (.f64 y z) 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808) (-.f64 x (.f64 (.f64 y z) x)) (.f64 z (.f64 x (neg.f64 y)))))
(if (<=.f64 (.f64 y z) -5000000000000000486031202442672326724878364240237470927923828819955650261110669617194088753258003880396378339073836923076302170214215142647864457235610681184975154073244321423156615667780219280818176) (.f64 y (.f64 z (neg.f64 x))) (if (<=.f64 (.f64 y z) 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808) (-.f64 x (.f64 (.f64 y z) x)) (.f64 z (.f64 x (neg.f64 y)))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -89999999999999999726585254854541341201585959339692315725791232) (.f64 x (.f64 z (neg.f64 y))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (neg.f64 (.f64 z x)))))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -89999999999999999726585254854541341201585959339692315725791232) (.f64 x (.f64 z (neg.f64 y))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (.f64 z (neg.f64 x)))))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -89999999999999999726585254854541341201585959339692315725791232) (.f64 (.f64 y z) (neg.f64 x)) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (.f64 z (neg.f64 x)))))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -242000000000000011822723861971995818416457437795677067286754577099554586343806936809472) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (neg.f64 (.f64 z x)))))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -242000000000000011822723861971995818416457437795677067286754577099554586343806936809472) (.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (.f64 z (neg.f64 x)))))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 y (neg.f64 (.f64 z x))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -12500000000000000542216212182739825916128666561899241397397172366701460161121013886766546944) (.f64 y (neg.f64 (.f64 z x))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (neg.f64 (.f64 z x)))))))
(if (<=.f64 y -2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048) (.f64 y (.f64 z (neg.f64 x))) (if (<=.f64 y -4599999999999999809395513910440250436411205389336500729415487700185464786569852043500347728873118475861172162097549848608768) x (if (<=.f64 y -12500000000000000542216212182739825916128666561899241397397172366701460161121013886766546944) (.f64 y (.f64 z (neg.f64 x))) (if (<=.f64 y 8090002566276511/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) x (.f64 y (.f64 z (neg.f64 x)))))))
x

Compiler

Compiled 155 to 83 computations (46.5% saved)

soundness335.0ms (4%)

Algorithm

5×	egg-herbie

Rules

440×	`fma-def_binary64`
440×	`fma-def_binary64`
440×	`fma-def_binary64`
440×	`fma-def_binary64`
244×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	490
1	36	490
2	85	490
3	175	490
4	273	490
5	422	490
6	729	490
7	863	490
8	1081	490
9	1171	490
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324
0	15	490
1	36	490
2	85	490
3	175	490
4	273	490
5	422	490
6	729	490
7	863	490
8	1081	490
9	1171	490
0	16	338
1	38	338
2	87	338
3	178	338
4	276	338
5	425	338
6	731	338
7	865	338
8	1081	338
9	1171	338
0	15	490
1	36	490
2	85	490
3	175	490
4	273	490
5	422	490
6	729	490
7	863	490
8	1081	490
9	1171	490

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 222 to 151 computations (32% saved)

end65.0ms (0.8%)

Compiler: Compiled 211 to 91 computations (56.9% saved)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Details

analyze358.0ms (4.3%)

sample1.9s (22.6%)

preprocess96.0ms (1.1%)

simplify39.0ms (0.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize16.0ms (0.2%)

series13.0ms (0.2%)

rewrite104.0ms (1.2%)

simplify79.0ms (0.9%)

eval32.0ms (0.4%)

prune26.0ms (0.3%)

localize15.0ms (0.2%)

series14.0ms (0.2%)

rewrite68.0ms (0.8%)

simplify46.0ms (0.6%)

localize14.0ms (0.2%)

series5.0ms (0.1%)

rewrite64.0ms (0.8%)

simplify42.0ms (0.5%)

localize8.0ms (0.1%)

series26.0ms (0.3%)

rewrite69.0ms (0.8%)

simplify45.0ms (0.5%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite85.0ms (1%)

simplify42.0ms (0.5%)

eval56.0ms (0.7%)

prune22.0ms (0.3%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite50.0ms (0.6%)

simplify27.0ms (0.3%)

localize7.0ms (0.1%)

series15.0ms (0.2%)

rewrite69.0ms (0.8%)

simplify50.0ms (0.6%)

localize13.0ms (0.2%)

series18.0ms (0.2%)

rewrite63.0ms (0.8%)

simplify8.0ms (0.1%)

eval26.0ms (0.3%)

prune27.0ms (0.3%)

localize10.0ms (0.1%)

series16.0ms (0.2%)

rewrite122.0ms (1.5%)

simplify126.0ms (1.5%)

localize21.0ms (0.3%)

series220.0ms (2.6%)

rewrite104.0ms (1.2%)

simplify107.0ms (1.3%)

eval258.0ms (3.1%)

prune72.0ms (0.9%)

regimes739.0ms (8.8%)

bsearch0.0ms (0%)

regimes127.0ms (1.5%)

bsearch933.0ms (11.1%)

regimes173.0ms (2.1%)

bsearch556.0ms (6.6%)

regimes149.0ms (1.8%)

bsearch536.0ms (6.4%)

regimes18.0ms (0.2%)

simplify25.0ms (0.3%)

soundness335.0ms (4%)

end65.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324