Details

analyze477.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample2.7s (16.2%)

Results

2.2s	8256×	body	256	valid
469.0ms	2438×	body	256	invalid

preprocess96.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1038×	`fma-def_binary64`
796×	`div-sub_binary64`
750×	`fma-neg_binary64`
598×	`times-frac_binary64`
365×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	175
1	112	161
2	245	161
3	542	147
4	1274	147
5	2537	147
6	5503	140
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 y x) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 z y) (/.f64 (+.f64 2 (.f64 (.f64 x 2) (-.f64 1 t))) (*.f64 t x)))
(+.f64 (/.f64 t y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 x))) (*.f64 x z)))
(+.f64 (/.f64 x z) (/.f64 (+.f64 2 (.f64 (.f64 y 2) (-.f64 1 t))) (*.f64 t y)))
(+.f64 (/.f64 x t) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 y))) (*.f64 y z)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 t 2) (-.f64 1 z))) (*.f64 z t)))

Outputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 z (.f64 2 (-.f64 1 t)))) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (+.f64 2 (.f64 -2 t)) 2) (.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (fma.f64 -2 t 2) 2) (*.f64 z t)))
(fma.f64 (/.f64 (fma.f64 z (-.f64 1 t) 1) z) (/.f64 2 t) (/.f64 x y))
(fma.f64 (/.f64 2 z) (/.f64 (fma.f64 z (-.f64 1 t) 1) t) (/.f64 x y))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (+.f64 z 1) (*.f64 z t)) -2))
(+.f64 (/.f64 y x) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 (+.f64 2 (.f64 z (.f64 2 (-.f64 1 t)))) (*.f64 z t)) (/.f64 y x))
(+.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) (/.f64 y x))
(+.f64 (/.f64 (fma.f64 z (+.f64 2 (.f64 -2 t)) 2) (.f64 z t)) (/.f64 y x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 -2 t 2) 2) (*.f64 z t)) (/.f64 y x))
(fma.f64 (/.f64 (fma.f64 z (-.f64 1 t) 1) z) (/.f64 2 t) (/.f64 y x))
(fma.f64 (/.f64 2 z) (/.f64 (fma.f64 z (-.f64 1 t) 1) t) (/.f64 y x))
(fma.f64 (-.f64 (/.f64 (+.f64 z 1) (*.f64 z t)) 1) 2 (/.f64 y x))
(+.f64 (/.f64 z y) (/.f64 (+.f64 2 (.f64 (.f64 x 2) (-.f64 1 t))) (*.f64 t x)))
(+.f64 (/.f64 z y) (/.f64 (+.f64 2 (.f64 x (.f64 2 (-.f64 1 t)))) (*.f64 x t)))
(+.f64 (/.f64 z y) (/.f64 (fma.f64 x (.f64 2 (-.f64 1 t)) 2) (.f64 x t)))
(+.f64 (/.f64 z y) (/.f64 (fma.f64 x (+.f64 2 (.f64 -2 t)) 2) (.f64 x t)))
(+.f64 (/.f64 z y) (/.f64 (fma.f64 x (fma.f64 -2 t 2) 2) (*.f64 x t)))
(fma.f64 (/.f64 (fma.f64 x (-.f64 1 t) 1) x) (/.f64 2 t) (/.f64 z y))
(fma.f64 (/.f64 2 x) (/.f64 (fma.f64 x (-.f64 1 t) 1) t) (/.f64 z y))
(+.f64 (/.f64 z y) (+.f64 (/.f64 (fma.f64 x 2 2) (*.f64 x t)) -2))
(+.f64 (/.f64 t y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 x))) (*.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (+.f64 2 (.f64 z (.f64 2 (-.f64 1 x)))) (*.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (fma.f64 (.f64 2 z) (-.f64 1 x) 2) (.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (fma.f64 z (fma.f64 -2 x 2) 2) (*.f64 x z)))
(+.f64 (/.f64 t y) (/.f64 (fma.f64 z (fma.f64 x -2 2) 2) (*.f64 x z)))
(fma.f64 (/.f64 (fma.f64 z (-.f64 1 x) 1) z) (/.f64 2 x) (/.f64 t y))
(+.f64 (/.f64 t y) (+.f64 (/.f64 (fma.f64 2 z 2) (*.f64 x z)) -2))
(+.f64 (/.f64 x z) (/.f64 (+.f64 2 (.f64 (.f64 y 2) (-.f64 1 t))) (*.f64 t y)))
(+.f64 (/.f64 x z) (/.f64 (+.f64 2 (.f64 y (.f64 2 (-.f64 1 t)))) (*.f64 y t)))
(+.f64 (/.f64 x z) (/.f64 (fma.f64 y (.f64 2 (-.f64 1 t)) 2) (.f64 y t)))
(+.f64 (/.f64 x z) (/.f64 (fma.f64 y (+.f64 2 (.f64 -2 t)) 2) (.f64 y t)))
(+.f64 (/.f64 x z) (/.f64 (fma.f64 y (fma.f64 -2 t 2) 2) (*.f64 y t)))
(fma.f64 (/.f64 (fma.f64 y (-.f64 1 t) 1) y) (/.f64 2 t) (/.f64 x z))
(fma.f64 (/.f64 2 t) (/.f64 (fma.f64 y (-.f64 1 t) 1) y) (/.f64 x z))
(+.f64 (/.f64 x z) (+.f64 (/.f64 (fma.f64 y 2 2) (*.f64 y t)) -2))
(+.f64 (/.f64 x t) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 y))) (*.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (+.f64 2 (.f64 z (.f64 2 (-.f64 1 y)))) (*.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 y)) 2) (.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (fma.f64 2 (.f64 z (-.f64 1 y)) 2) (.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (fma.f64 z (fma.f64 -2 y 2) 2) (*.f64 y z)))
(+.f64 (/.f64 x t) (/.f64 (fma.f64 z (fma.f64 y -2 2) 2) (*.f64 y z)))
(+.f64 (/.f64 x t) (+.f64 (/.f64 (fma.f64 2 z 2) (*.f64 y z)) -2))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 t 2) (-.f64 1 z))) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 2 t) (-.f64 1 z))) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 (.f64 2 t) (-.f64 1 z) 2) (.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 t (+.f64 2 (.f64 -2 z)) 2) (.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 t (fma.f64 -2 z 2) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 t (fma.f64 z -2 2) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (fma.f64 (+.f64 1 t) (/.f64 2 (*.f64 z t)) -2))

Compiler

Compiled 25 to 19 computations (24% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-neg_binary64`
614×	`times-frac_binary64`
398×	`div-sub_binary64`
345×	`distribute-rgt-in_binary64`
329×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	28	23
2	56	23
3	121	21
4	285	21
5	541	21
6	1175	20
7	3598	19
8	6824	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))

Outputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 (.f64 2 z) (-.f64 1 t) 2) (.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 2 (.f64 z (-.f64 1 t)) 2) (.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (fma.f64 -2 t 2) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 z (fma.f64 t -2 2) 2) (*.f64 z t)))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (fma.f64 2 z 2) (*.f64 z t))))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))

eval1.0ms (0%)

Compiler: Compiled 34 to 23 computations (32.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
▶	6.6b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
✓	0.0b	(+.f64 2 (/.f64 2 z))
✓	0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
✓	0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

Compiler

Compiled 50 to 33 computations (34% saved)

series46.0ms (0.3%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Expression
30.0ms	t	@	(/.f64 (+.f64 2 (/.f64 2 z)) t)
2.0ms	x	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
1.0ms	t	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
1.0ms	z	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
1.0ms	z	@	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite151.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`log-prod_binary64`
517×	`fma-def_binary64`
295×	`fma-neg_binary64`
289×	`log-div_binary64`
287×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	308	49
2	4598	49

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(+.f64 2 (/.f64 2 z))
(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 2 (/.f64 2 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 2 (/.f64 2 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) (.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -2 (neg.f64 (/.f64 2 z))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (+.f64 2 (/.f64 2 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (+.f64 2 (/.f64 2 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (/.f64 2 z)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1))))))
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simplify396.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1133×	`fma-neg_binary64`
468×	`fma-def_binary64`
174×	`sub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`
123×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	1593
1	79	1593
2	130	1593
3	183	1593
4	280	1353
5	534	1353
6	1050	1353
7	2232	1353
8	3181	1353
9	3667	1353
10	3878	1353
11	3923	1353
12	3933	1353
13	3939	1353
14	4366	1353
15	4366	1353

Stop Event

1×

saturated

Counts

323 → 240

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
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(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
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(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
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(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
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(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(/.f64 2 z)
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
2
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
2
(+.f64 2 (*.f64 2 (/.f64 1 z)))
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(/.f64 2 (*.f64 t z))
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(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
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(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
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(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)

Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
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(/.f64 2 t)
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(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
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(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
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(/.f64 x y)
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(/.f64 x y)
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(/.f64 x y)
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(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 2 z)
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
2
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
2
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(+.f64 2 (*.f64 2 (/.f64 1 z)))
(+.f64 2 (/.f64 2 z))
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))
✓	0.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
✓	0.0b	(.f64 (.f64 z 2) (-.f64 1 t))
✓	6.6b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

Compiler

Compiled 68 to 41 computations (39.7% saved)

series45.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
28.0ms	t	@	0	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
2.0ms	z	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
1.0ms	z	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
1.0ms	t	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
1.0ms	t	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

rewrite288.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`fma-def_binary64`
330×	`fma-neg_binary64`
317×	`expm1-udef_binary64`
316×	`log1p-udef_binary64`
313×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	342	61
2	5267	61

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
(.f64 (.f64 z 2) (-.f64 1 t))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))

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

simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

603×	`fma-def_binary64`
599×	`fma-neg_binary64`
550×	`div-sub_binary64`
496×	`unsub-neg_binary64`
310×	`associate-/l/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	48	1803
1	116	1763
2	241	1616
3	397	1616
4	725	1445
5	1601	1445
6	3385	1443
7	6585	1443

Stop Event

1×	node limit

Counts

353 → 266

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(*.f64 2 (/.f64 (-.f64 1 t) t))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(*.f64 2 (/.f64 (-.f64 1 t) t))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 2 t)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 2 t)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 2 t)) 2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 (-.f64 1 t) z))
(*.f64 2 z)
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(.f64 -2 (.f64 t z))
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(.f64 -2 (.f64 t z))
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(+.f64 (.f64 2 z) (.f64 -2 (*.f64 t z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 (-.f64 1 t) t)) (.f64 2 (/.f64 1 (*.f64 t z)))))
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
2
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(.f64 2 (.f64 (-.f64 1 t) z))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(.f64 2 (.f64 (-.f64 1 t) z))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 (*.f64 2 z) 2)
(+.f64 (.f64 2 z) (+.f64 (.f64 -2 (*.f64 t z)) 2))
(+.f64 (.f64 2 z) (+.f64 (.f64 -2 (*.f64 t z)) 2))
(+.f64 (.f64 2 z) (+.f64 (.f64 -2 (*.f64 t z)) 2))
(.f64 -2 (.f64 t z))
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(.f64 -2 (.f64 t z))
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))

Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(*.f64 2 (/.f64 (-.f64 1 t) t))
(*.f64 2 (+.f64 (/.f64 1 t) -1))
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z)))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 2 (*.f64 t z)))
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(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (/.f64 x y))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(+.f64 (-.f64 -2 (/.f64 -2 t)) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t)))
(+.f64 (*.f64 2 (/.f64 (-.f64 1 t) t)) (/.f64 x y))
(fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(+.f64 (-.f64 -2 (/.f64 -2 t)) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 (-.f64 1 t) t))))
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (fma.f64 2 z 2) (*.f64 t z))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(+.f64 -2 (/.f64 x y))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(+.f64 -2 (/.f64 x y))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (fma.f64 2 (/.f64 (-.f64 1 t) t) (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 2 (*.f64 t z)) (fma.f64 2 (+.f64 (/.f64 1 t) -1) (/.f64 x y)))
(+.f64 (+.f64 (/.f64 2 t) -2) (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))
2
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 z (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(.f64 2 (.f64 (-.f64 1 t) z))
(.f64 2 (.f64 z (-.f64 1 t)))
(*.f64 z (fma.f64 t -2 2))
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 2 (.f64 2 (.f64 (-.f64 1 t) z)))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 (*.f64 2 z) 2)
(fma.f64 2 z 2)
(+.f64 (.f64 2 z) (+.f64 (.f64 -2 (*.f64 t z)) 2))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 (.f64 2 z) (+.f64 (.f64 -2 (*.f64 t z)) 2))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 (.f64 2 z) (+.f64 (.f64 -2 (*.f64 t z)) 2))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(.f64 -2 (.f64 t z))
(.f64 (.f64 t z) -2)
(.f64 z (.f64 t -2))
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(.f64 -2 (.f64 t z))
(.f64 (.f64 t z) -2)
(.f64 z (.f64 t -2))
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)
(+.f64 (.f64 2 z) (+.f64 2 (.f64 -2 (*.f64 t z))))
(+.f64 2 (.f64 2 (.f64 z (-.f64 1 t))))
(fma.f64 2 (*.f64 z (-.f64 1 t)) 2)
(fma.f64 z (fma.f64 t -2 2) 2)

eval304.0ms (1.8%)

Compiler: Compiled 11350 to 7024 computations (38.1% saved)

prune209.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	493	13	506
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	495	13	508

Error

Counts

508 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
	20.8b	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
	13.7b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
	30.1b	(-.f64 (/.f64 x y) 2)
▶	31.5b	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))
	15.8b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
	12.6b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 1 (/.f64 (-.f64 2 (/.f64 2 z)) (-.f64 4 (/.f64 4 (*.f64 z z))))) t)))
	28.3b	(+.f64 (/.f64 x y) (.f64 (/.f64 (sqrt.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2)) (.f64 z t))))
▶	28.0b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
▶	14.9b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
	33.8b	(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))) 3)
▶	42.7b	(/.f64 x y)

Compiler

Compiled 450 to 338 computations (24.9% saved)

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 2 (/.f64 2 z))
✓	0.0b	(+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z))))
✓	0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
✓	0.2b	(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))

Compiler

Compiled 60 to 42 computations (30% saved)

series12.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
1.0ms	x	@	0	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
1.0ms	y	@	-inf	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
1.0ms	y	@	inf	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
0.0ms	t	@	-inf	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))

rewrite186.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`fma-def_binary64`
327×	`fma-neg_binary64`
307×	`expm1-udef_binary64`
307×	`log1p-udef_binary64`
306×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	348	42
2	5133	42

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

Inputs
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
(+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z))))

Outputs

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

simplify316.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1130×	`fma-neg_binary64`
462×	`fma-def_binary64`
174×	`sub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`
123×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	1455
1	79	1455
2	130	1455
3	183	1455
4	279	1284
5	533	1284
6	1051	1284
7	2232	1284
8	3179	1284
9	3661	1284
10	3877	1284
11	3922	1284
12	3932	1284
13	3938	1284
14	4365	1284
15	4365	1284

Stop Event

1×

saturated

Counts

326 → 251

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 t)))) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)

Outputs
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
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(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t)))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(/.f64 (/.f64 2 z) t)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (/.f64 2 t) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (/.f64 2 t) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
✓	0.4b	(/.f64 2 (*.f64 t z))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(/.f64 2 (*.f64 t z))
1.0ms	t	@	0	(/.f64 2 (*.f64 t z))
0.0ms	z	@	inf	(/.f64 2 (*.f64 t z))
0.0ms	z	@	0	(/.f64 2 (*.f64 t z))
0.0ms	t	@	-inf	(/.f64 2 (*.f64 t z))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
458×	`pow-prod-down_binary64`
381×	`fma-def_binary64`
316×	`pow2_binary64`
224×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	228	20
2	3449	20

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))

Outputs

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

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

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`associate-*l/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/l*_binary64`
9×	`*-commutative_binary64`
9×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	531
1	24	531
2	34	531
3	42	531
4	51	531
5	68	531
6	96	531
7	107	531
8	112	531
9	112	531

Stop Event

1×

saturated

Counts

168 → 125

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))

Outputs
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 x y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
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(/.f64 x y)
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(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
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(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 z) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 x y)
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(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(/.f64 x y)
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(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 x y))
(+.f64 (/.f64 (/.f64 2 z) t) (/.f64 x y))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
✓	0.0b	(+.f64 -2 (/.f64 2 (*.f64 t z)))
	0.4b	(/.f64 2 (*.f64 t z))

Compiler

Compiled 39 to 19 computations (51.3% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 -2 (/.f64 2 (*.f64 t z)))
0.0ms	x	@	0	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
0.0ms	t	@	inf	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
0.0ms	y	@	inf	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
0.0ms	x	@	-inf	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`log-prod_binary64`
423×	`fma-def_binary64`
366×	`pow2_binary64`
253×	`pow1/3_binary64`
251×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	274	26
2	3929	26

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

Inputs
(+.f64 -2 (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 -2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 (*.f64 t z)))) (/.f64 (pow.f64 (+.f64 -2 (/.f64 2 (*.f64 t z))) 2) (-.f64 (-.f64 (/.f64 x y) -2) (/.f64 2 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 -2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 -2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 -2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 -2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 -2 (/.f64 x y)))) 2) (cbrt.f64 (+.f64 (/.f64 2 (*.f64 t z)) (+.f64 -2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

493×	`fma-neg_binary64`
242×	`cancel-sign-sub-inv_binary64`
242×	`fma-def_binary64`
85×	`associate-/r/_binary64`
84×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	858
1	37	858
2	55	858
3	67	858
4	91	858
5	166	858
6	362	858
7	728	858
8	1156	858
9	1549	858
10	2284	858
11	2513	858
12	2523	858
13	2537	858
14	2542	858

Stop Event

1×

saturated

Counts

203 → 142

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
-2
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
-2
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
-2
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
-2
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (.f64 2 (/.f64 1 (.f64 t z))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(-.f64 (+.f64 (/.f64 x y) (.f64 2 (/.f64 1 (.f64 t z)))) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)

Outputs
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(-.f64 (/.f64 x y) (+.f64 2 (/.f64 -2 (*.f64 t z))))
(+.f64 (-.f64 -2 (/.f64 (/.f64 -2 z) t)) (/.f64 x y))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2))
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 (*.f64 t z)) -2) (/.f64 x y))
(-.f64 (/.f64 x y) (+.f64 2 (/.f64 -2 (*.f64 t z))))
(+.f64 (-.f64 -2 (/.f64 (/.f64 -2 z) t)) (/.f64 x y))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2))
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 (*.f64 t z)) -2) (/.f64 x y))
(-.f64 (/.f64 x y) (+.f64 2 (/.f64 -2 (*.f64 t z))))
(+.f64 (-.f64 -2 (/.f64 (/.f64 -2 z) t)) (/.f64 x y))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2))
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 (*.f64 t z)) -2) (/.f64 x y))
(-.f64 (/.f64 x y) (+.f64 2 (/.f64 -2 (*.f64 t z))))
(+.f64 (-.f64 -2 (/.f64 (/.f64 -2 z) t)) (/.f64 x y))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2))
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 (*.f64 t z)) -2) (/.f64 x y))
(-.f64 (/.f64 x y) (+.f64 2 (/.f64 -2 (*.f64 t z))))
(+.f64 (-.f64 -2 (/.f64 (/.f64 -2 z) t)) (/.f64 x y))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 x y)) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 x y) -2))
(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 (*.f64 t z)) -2) (/.f64 x y))
(-.f64 (/.f64 x y) (+.f64 2 (/.f64 -2 (*.f64 t z))))
(+.f64 (-.f64 -2 (/.f64 (/.f64 -2 z) t)) (/.f64 x y))

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.5b	(*.f64 (/.f64 y x) z)
✓	4.2b	(.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))
✓	6.2b	(/.f64 (fma.f64 z (*.f64 2 (-.f64 1 t)) 2) t)
✓	22.9b	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))

Compiler

Compiled 96 to 54 computations (43.8% saved)

series88.0ms (0.5%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(*.f64 (/.f64 y x) z)
13.0ms	z	@	0	(*.f64 (/.f64 y x) z)
8.0ms	z	@	0	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))
3.0ms	z	@	inf	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))
3.0ms	x	@	inf	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))

rewrite136.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

365×	`fma-def_binary64`
344×	`log-div_binary64`
331×	`expm1-udef_binary64`
330×	`log1p-udef_binary64`
269×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	360	71
2	5458	71

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))
(/.f64 (fma.f64 z (*.f64 2 (-.f64 1 t)) 2) t)
(.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))
(*.f64 (/.f64 y x) z)

Outputs
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(/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) (/.f64 1 (.f64 (/.f64 y x) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x y) (/.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 x y) z) (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 x y)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) 2) z) (/.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) z) (/.f64 (sqrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) (/.f64 y x)) (/.f64 (sqrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) 2) (/.f64 y x)) (/.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) (/.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 y x) 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (/.f64 z (/.f64 x y)))) (/.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (sqrt.f64 (/.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) 2) (sqrt.f64 (/.f64 z (/.f64 x y)))) (/.f64 (cbrt.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)) (sqrt.f64 (/.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 (/.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 (/.f64 x y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 (/.f64 x y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 (/.f64 x y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (.f64 (/.f64 y x) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 (/.f64 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z) (/.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 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simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

550×	`associate-*r/_binary64`
541×	`fma-def_binary64`
454×	`associate-/r*_binary64`
413×	`distribute-rgt-in_binary64`
407×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	2936
1	279	2812
2	759	2704
3	2227	2544
4	6975	2544

Stop Event

1×	node limit

Counts

307 → 203

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 y (-.f64 1 t)) (.f64 t x)))) x) y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 y (-.f64 1 t)) (.f64 t x)))) x) y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 y (-.f64 1 t)) (.f64 t x)))) x) y))
(/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 y (-.f64 1 t)) (.f64 t x)))) x) y)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 y (-.f64 1 t)) (.f64 t x)))) x) y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 y (-.f64 1 t)) (.f64 t x)))) x) y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (/.f64 (.f64 (+.f64 1 (.f64 2 (/.f64 (.f64 y (-.f64 1 t)) (.f64 t x)))) x) y))
(.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 (.f64 y (-.f64 1 t)) (*.f64 t x))) 1) x) y))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 (.f64 y (-.f64 1 t)) (*.f64 t x))) 1) x) y)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 (.f64 y (-.f64 1 t)) (*.f64 t x))) 1) x) y)))
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(/.f64 x y)
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eval683.0ms (4.1%)

Compiler: Compiled 16684 to 9694 computations (41.9% saved)

prune217.0ms (1.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	780	10	790
Fresh	7	1	8
Picked	1	0	1
Done	0	4	4
Total	788	15	803

Error

Counts

803 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.6b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))))
	34.7b	(/.f64 (+.f64 z (/.f64 (.f64 y (+.f64 (.f64 2 z) 2)) (.f64 t x))) (.f64 (/.f64 y x) z))
	47.7b	(/.f64 2 (*.f64 t z))
✓	14.9b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
	38.5b	(/.f64 (+.f64 z (.f64 2 (/.f64 y (.f64 t x)))) (*.f64 (/.f64 y x) z))
✓	42.7b	(/.f64 x y)
▶	47.7b	(/.f64 (/.f64 2 t) z)
✓	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
▶	30.1b	(-.f64 (/.f64 x y) 2)
	47.7b	(/.f64 (/.f64 2 z) t)
▶	33.8b	(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
	20.8b	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
▶	15.8b	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
	33.9b	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
✓	28.0b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))

Compiler

Compiled 364 to 272 computations (25.3% saved)

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))))
✓	0.1b	(*.f64 t (-.f64 2 (/.f64 2 z)))
✓	0.5b	(/.f64 4 (*.f64 z z))
✓	15.0b	(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))

Compiler

Compiled 97 to 61 computations (37.1% saved)

series39.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Expression
4.0ms	z	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))))
4.0ms	x	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))))
3.0ms	t	@	(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
3.0ms	t	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))))
2.0ms	z	@	(/.f64 4 (*.f64 z z))

rewrite146.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

384×	`expm1-udef_binary64`
384×	`log1p-udef_binary64`
375×	`fma-neg_binary64`
225×	`add-sqr-sqrt_binary64`
219×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	432	46
2	6570	46

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

Inputs
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 4 (*.f64 z z))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 1 z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1 z) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 z) (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 4 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 16 (pow.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (.f64 (cbrt.f64 (/.f64 2 z)) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 16 (pow.f64 z 4))) (pow.f64 (cbrt.f64 (/.f64 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 2 z)) (.f64 (sqrt.f64 (/.f64 2 z)) (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 z) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 2 z) (sqrt.f64 (/.f64 2 z))) (sqrt.f64 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 2 z) (pow.f64 (cbrt.f64 (/.f64 2 z)) 2)) (cbrt.f64 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64 (pow.f64 (.f64 z z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 z z) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 64 (pow.f64 (.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 z z))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 t) (.f64 (/.f64 -2 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 t 2) (.f64 t (/.f64 -2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t (+.f64 2 (/.f64 -2 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8 (/.f64 8 (pow.f64 z 3))) t) (+.f64 4 (+.f64 (/.f64 4 (.f64 z z)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) t) (+.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t (-.f64 8 (/.f64 8 (pow.f64 z 3)))) (+.f64 4 (+.f64 (/.f64 4 (.f64 z z)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t (+.f64 4 (/.f64 -4 (.f64 z z)))) (+.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t (+.f64 2 (/.f64 -2 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t (+.f64 2 (/.f64 -2 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t (+.f64 2 (/.f64 -2 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 t (+.f64 2 (/.f64 -2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 t (+.f64 2 (/.f64 -2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (+.f64 2 (/.f64 -2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 t (+.f64 2 (/.f64 -2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t (+.f64 2 (/.f64 -2 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 t 3) (pow.f64 (+.f64 2 (/.f64 -2 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 2 (/.f64 -2 z)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t (+.f64 2 (/.f64 -2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t (+.f64 2 (/.f64 -2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t (+.f64 2 (/.f64 -2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 t (+.f64 2 (/.f64 -2 z)))) 1))))))
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simplify355.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
639×	`div-sub_binary64`
447×	`distribute-neg-frac_binary64`
258×	`associate-/r*_binary64`
255×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	2256
1	166	1896
2	374	1896
3	1018	1896
4	4020	1878
5	7676	1878

Stop Event

1×	node limit

Counts

256 → 175

Calls

Call 1

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

Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 (-.f64 4 (.f64 4 (/.f64 1 (pow.f64 z 2)))) (.f64 t (-.f64 2 (*.f64 2 (/.f64 1 z)))))
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(/.f64 4 (pow.f64 z 2))
(/.f64 4 (*.f64 z z))
(/.f64 (/.f64 4 z) z)
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(*.f64 -2 (/.f64 t z))
(/.f64 (*.f64 t -2) z)
(+.f64 (.f64 2 t) (.f64 -2 (/.f64 t z)))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(+.f64 (.f64 2 t) (.f64 -2 (/.f64 t z)))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(+.f64 (.f64 2 t) (.f64 -2 (/.f64 t z)))
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(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(*.f64 2 t)
(+.f64 (.f64 2 t) (.f64 -2 (/.f64 t z)))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(+.f64 (.f64 2 t) (.f64 -2 (/.f64 t z)))
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(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(+.f64 (.f64 2 t) (.f64 -2 (/.f64 t z)))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
(*.f64 2 t)
(+.f64 (.f64 2 t) (.f64 -2 (/.f64 t z)))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 t (+.f64 2 (/.f64 -2 z)))
(*.f64 2 (-.f64 t (/.f64 t z)))
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(/.f64 (-.f64 (.f64 4 (/.f64 1 (-.f64 2 (.f64 2 (/.f64 1 z))))) (.f64 4 (/.f64 1 (.f64 (pow.f64 z 2) (-.f64 2 (*.f64 2 (/.f64 1 z))))))) t)
(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z))))
(/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 2 (-.f64 t (/.f64 t z))))
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(-.f64 (/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z)))) (-.f64 2 (/.f64 x y)))
(-.f64 (/.f64 x y) (+.f64 2 (/.f64 (+.f64 (/.f64 (/.f64 4 z) z) -4) (*.f64 t (+.f64 2 (/.f64 -2 z))))))
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(-.f64 (/.f64 x y) 2)
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(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 (.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))))) (+.f64 2 (/.f64 4 (.f64 t (.f64 (pow.f64 z 2) (-.f64 2 (.f64 2 (/.f64 1 z))))))))
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(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 (.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))))) (+.f64 2 (/.f64 4 (.f64 t (.f64 (pow.f64 z 2) (-.f64 2 (.f64 2 (/.f64 1 z))))))))
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(-.f64 (/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z)))) (-.f64 2 (/.f64 x y)))
(-.f64 (/.f64 x y) (+.f64 2 (/.f64 (+.f64 (/.f64 (/.f64 4 z) z) -4) (*.f64 t (+.f64 2 (/.f64 -2 z))))))
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(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 (.f64 t (-.f64 2 (.f64 2 (/.f64 1 z))))))) (+.f64 2 (/.f64 4 (.f64 t (.f64 (pow.f64 z 2) (-.f64 2 (.f64 2 (/.f64 1 z))))))))
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(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 4 (/.f64 -4 (.f64 z z))) (.f64 t (+.f64 2 (/.f64 -2 z))))))
(-.f64 (/.f64 (-.f64 4 (/.f64 (/.f64 4 z) z)) (*.f64 t (+.f64 2 (/.f64 -2 z)))) (-.f64 2 (/.f64 x y)))
(-.f64 (/.f64 x y) (+.f64 2 (/.f64 (+.f64 (/.f64 (/.f64 4 z) z) -4) (*.f64 t (+.f64 2 (/.f64 -2 z))))))
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localize6.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 2 t) z)

Compiler

Compiled 15 to 10 computations (33.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(/.f64 (/.f64 2 t) z)
0.0ms	t	@	0	(/.f64 (/.f64 2 t) z)
0.0ms	t	@	inf	(/.f64 (/.f64 2 t) z)
0.0ms	z	@	0	(/.f64 (/.f64 2 t) z)
0.0ms	z	@	inf	(/.f64 (/.f64 2 t) z)

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1805	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(/.f64 (/.f64 2 t) z)

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	11	168

Stop Event

1×

saturated

Counts

60 → 37

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))

Outputs
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 2 t) 2)
✓	0.0b	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))

Compiler

Compiled 28 to 17 computations (39.3% saved)

series54.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	x	@	inf	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
0.0ms	x	@	-inf	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
0.0ms	x	@	0	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
0.0ms	t	@	inf	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
0.0ms	t	@	-inf	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
411×	`fma-def_binary64`
383×	`pow-prod-down_binary64`
295×	`pow2_binary64`
241×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	214	20
2	3242	20

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(-.f64 (/.f64 2 t) 2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 t) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (/.f64 2 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 t) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 t) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 t) -2)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 t) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 t) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 t) -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 t) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 t) -2)) 2) (cbrt.f64 (+.f64 (/.f64 2 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 t) -2)) (sqrt.f64 (+.f64 (/.f64 2 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 t -3) -8) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 t -2) 4) (/.f64 4 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 t -2) -4) (/.f64 1 (+.f64 2 (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 t -2) 4) (/.f64 4 t)) (fma.f64 8 (pow.f64 t -3) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 2 t)) (fma.f64 4 (pow.f64 t -2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 t -3) -8) (+.f64 (fma.f64 4 (pow.f64 t -2) 4) (/.f64 4 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 t -3) -8) (fma.f64 4 (pow.f64 t -2) (-.f64 4 (*.f64 (/.f64 2 t) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 t -2) -4) (+.f64 2 (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 t -3) -8)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 t -2) 4) (/.f64 4 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 4 (pow.f64 t -2) -4)) (neg.f64 (+.f64 2 (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 t) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 t) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 t) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 t) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 t) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 t -2) 4) (/.f64 4 t)) (fma.f64 8 (pow.f64 t -3) -8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (/.f64 2 t)) (fma.f64 4 (pow.f64 t -2) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 t) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 t) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 t) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 t) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 t) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 t) 1 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 t) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 t)) (cbrt.f64 (/.f64 (/.f64 4 t) t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (/.f64 4 t) t)) (cbrt.f64 (/.f64 2 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 t)) (sqrt.f64 (/.f64 2 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 2 -2)))))

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

294×	`fma-neg_binary64`
174×	`fma-def_binary64`
108×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
35×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	471
1	26	471
2	35	471
3	40	471
4	48	471
5	69	471
6	126	471
7	272	471
8	500	471
9	721	471
10	960	471
11	1175	471
12	1185	471
13	1200	471
14	1205	471

Stop Event

1×

saturated

Counts

187 → 147

Calls

Call 1

Inputs
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 2 t)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (/.f64 x y) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
-2
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
-2
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)

Outputs
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(/.f64 x y)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(/.f64 2 t)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 x y) -2)
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(-.f64 (+.f64 (/.f64 x y) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2))
(+.f64 (+.f64 (/.f64 2 t) -2) (/.f64 x y))
(/.f64 2 t)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
-2
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
-2
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 2 (/.f64 1 z)))
✓	0.1b	(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)

Compiler

Compiled 32 to 25 computations (21.9% saved)

series3.0ms (0%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
0.0ms	z	@	inf	(+.f64 2 (*.f64 2 (/.f64 1 z)))
0.0ms	z	@	inf	(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
0.0ms	z	@	-inf	(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
0.0ms	t	@	0	(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

444×	`log-prod_binary64`
346×	`exp-prod_binary64`
288×	`prod-exp_binary64`
243×	`pow2_binary64`
240×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	197	17
2	2550	17

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 2 (*.f64 2 (/.f64 1 z)))

Outputs

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

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

27×	`fma-def_binary64`
16×	`associate-/r/_binary64`
14×	`associate-/r*_binary64`
13×	`*-commutative_binary64`
13×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	138
1	27	138
2	41	138
3	50	138
4	67	138
5	97	111
6	145	111
7	170	111
8	175	111

Stop Event

1×

saturated

Counts

118 → 109

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 z)
2
2

Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 z)
2
2

eval261.0ms (1.6%)

Compiler: Compiled 8817 to 6136 computations (30.4% saved)

prune160.0ms (1%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	461	7	468
Fresh	2	4	6
Picked	1	0	1
Done	2	6	8
Total	466	17	483

Error

Counts

483 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (/.f64 (.f64 t -2) z))))
	47.7b	(/.f64 (/.f64 2 z) t)
▶	48.9b	(/.f64 2 t)
	34.7b	(/.f64 (+.f64 z (/.f64 (.f64 y (+.f64 (.f64 2 z) 2)) (.f64 t x))) (.f64 (/.f64 y x) z))
✓	30.1b	(-.f64 (/.f64 x y) 2)
▶	33.8b	(/.f64 (+.f64 2 (/.f64 2 z)) t)
✓	14.9b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
	38.5b	(/.f64 (+.f64 z (.f64 2 (/.f64 y (.f64 t x)))) (*.f64 (/.f64 y x) z))
✓	42.7b	(/.f64 x y)
✓	47.7b	(/.f64 (/.f64 2 t) z)
	36.5b	(+.f64 (/.f64 2 t) -2)
▶	47.7b	(/.f64 2 (*.f64 t z))
▶	20.8b	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
✓	15.8b	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
▶	33.9b	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
✓	28.0b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
	33.8b	(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))

Compiler

Compiled 364 to 275 computations (24.5% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 2 (/.f64 2 z))
✓	0.0b	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
	0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

Compiler

Compiled 32 to 24 computations (25% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
0.0ms	z	@	-inf	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
0.0ms	z	@	inf	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
0.0ms	t	@	0	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
0.0ms	t	@	-inf	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
373×	`exp-prod_binary64`
280×	`pow2_binary64`
268×	`pow-prod-down_binary64`
222×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	212	13
2	2912	13

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)

Outputs

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

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-neg_binary64`
437×	`fma-def_binary64`
269×	`cancel-sign-sub-inv_binary64`
106×	`associate-/r/_binary64`
97×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	321
1	44	321
2	72	321
3	95	321
4	135	267
5	262	267
6	461	267
7	832	267
8	1527	267
9	2557	267
10	3455	267
11	3495	267
12	3495	267

Stop Event

1×

saturated

Counts

80 → 65

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)

Outputs
(/.f64 2 (*.f64 t z))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.f64 -2 t))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.f64 -2 t))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (-.f64 2 (/.f64 -2 z)) t)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
-2
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)
(-.f64 (+.f64 (/.f64 2 (.f64 t z)) (.f64 2 (/.f64 1 t))) 2)
(+.f64 (/.f64 2 (*.f64 t z)) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 2 t) (+.f64 (/.f64 2 (*.f64 t z)) -2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 (-.f64 2 (/.f64 -2 z)) t) -2)

localize4.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.4b	(/.f64 2 (*.f64 t z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize54.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 2 (/.f64 2 z))
	0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.3b	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))

Compiler

Compiled 27 to 17 computations (37% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
1.0ms	z	@	-inf	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
1.0ms	t	@	inf	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
1.0ms	z	@	inf	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
0.0ms	t	@	-inf	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
362×	`exp-prod_binary64`
331×	`prod-exp_binary64`
281×	`pow-prod-down_binary64`
238×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	179	11
2	2493	11

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))

Outputs

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

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

27×	`fma-def_binary64`
16×	`associate-/r/_binary64`
14×	`associate-/r*_binary64`
13×	`*-commutative_binary64`
13×	`associate-/l*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	132
1	26	132
2	41	132
3	50	132
4	67	132
5	97	105
6	145	105
7	170	105
8	175	105

Stop Event

1×

saturated

Counts

72 → 64

Calls

Call 1

Inputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))

Outputs
(/.f64 2 (*.f64 t z))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 2 t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
(*.f64 (/.f64 1 t) (+.f64 (/.f64 2 z) 2))
(/.f64 (+.f64 2 (/.f64 2 z)) t)

eval224.0ms (1.3%)

Compiler: Compiled 4450 to 3408 computations (23.4% saved)

prune119.0ms (0.7%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	1	5	6
Picked	0	1	1
Done	1	9	10
Total	318	18	336

Error

Counts

336 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (/.f64 (.f64 t -2) z))))
	50.2b	-2
	47.7b	(/.f64 (/.f64 2 z) t)
✓	48.9b	(/.f64 2 t)
	34.7b	(/.f64 (+.f64 z (/.f64 (.f64 y (+.f64 (.f64 2 z) 2)) (.f64 t x))) (.f64 (/.f64 y x) z))
✓	30.1b	(-.f64 (/.f64 x y) 2)
✓	33.8b	(/.f64 (+.f64 2 (/.f64 2 z)) t)
✓	42.7b	(/.f64 x y)
✓	47.7b	(/.f64 (/.f64 2 t) z)
	36.5b	(-.f64 -2 (/.f64 -2 t))
✓	47.7b	(/.f64 2 (*.f64 t z))
	38.5b	(/.f64 (+.f64 z (.f64 2 (/.f64 y (.f64 t x)))) (*.f64 (/.f64 y x) z))
✓	20.8b	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
	35.2b	(+.f64 (/.f64 2 (*.f64 t z)) -2)
✓	15.8b	(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
✓	33.9b	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
✓	28.0b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
	33.8b	(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))

Compiler

Compiled 216 to 165 computations (23.6% saved)

regimes310.0ms (1.9%)

Counts

35 → 1

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(/.f64 (+.f64 z (.f64 2 (/.f64 y (.f64 t x)))) (*.f64 (/.f64 y x) z))
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (/.f64 (.f64 t -2) z))))
(/.f64 (+.f64 z (/.f64 (.f64 y (+.f64 (.f64 2 z) 2)) (.f64 t x))) (.f64 (/.f64 y x) z))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 1 (/.f64 (-.f64 2 (/.f64 2 z)) (-.f64 4 (/.f64 4 (*.f64 z z))))) t)))
(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))) 3)
(+.f64 (/.f64 x y) (.f64 (/.f64 (sqrt.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2)) (.f64 z t))))

Outputs
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))

Calls

9 calls:

48.0ms	x
33.0ms	z
33.0ms	y
32.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
31.0ms	t

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`t`
0.1b	1	`(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))`
0.1b	1	`(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))`
0.1b	1	`(/.f64 x y)`
0.1b	1	`(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))`
0.1b	1	`(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))`

Compiler

Compiled 478 to 301 computations (37% saved)

regimes176.0ms (1.1%)

Counts

26 → 1

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(/.f64 (+.f64 z (.f64 2 (/.f64 y (.f64 t x)))) (*.f64 (/.f64 y x) z))

Outputs
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))

Calls

5 calls:

53.0ms	x
49.0ms	t
24.0ms	z
23.0ms	(/.f64 x y)
14.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`t`
0.1b	1	`(/.f64 x y)`

Compiler

Compiled 221 to 137 computations (38% saved)

regimes339.0ms (2%)

Counts

24 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))

Outputs
(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))

Calls

5 calls:

90.0ms	x
90.0ms	(/.f64 x y)
66.0ms	z
47.0ms	y
35.0ms	t

Results

Error	Segments	Branch
9.7b	3	`x`
5.4b	3	`y`
0.9b	3	`z`
0.8b	3	`t`
0.7b	3	`(/.f64 x y)`

Compiler

Compiled 193 to 121 computations (37.3% saved)

bsearch108.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	1.1249391322062652	70181.00389210797
58.0ms	-5.543413314817089e+39	-1.8075812112854362e+37

Compiler

Compiled 28 to 21 computations (25% saved)

regimes425.0ms (2.6%)

Counts

23 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))

Outputs
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 (*.f64 t z))))
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))

Calls

5 calls:

169.0ms	(/.f64 x y)
101.0ms	t
56.0ms	y
50.0ms	x
37.0ms	z

Results

Error	Segments	Branch
12.0b	3	`x`
6.3b	5	`y`
0.9b	3	`z`
4.2b	3	`t`
3.2b	3	`(/.f64 x y)`

Compiler

Compiled 180 to 115 computations (36.1% saved)

bsearch57.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.00027700226174603364	63072664.84105644
28.0ms	-15.297960698368332	-0.053661690082780655

Compiler

Compiled 28 to 21 computations (25% saved)

regimes295.0ms (1.8%)

Counts

22 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)

Outputs
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))

Calls

5 calls:

78.0ms	x
76.0ms	y
45.0ms	z
45.0ms	(/.f64 x y)
44.0ms	t

Results

Error	Segments	Branch
9.7b	7	`x`
6.0b	7	`y`
4.9b	3	`z`
9.3b	4	`t`
3.2b	3	`(/.f64 x y)`

Compiler

Compiled 169 to 110 computations (34.9% saved)

bsearch48.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.7137236222292127e-16	2.3994291205219863e-13
24.0ms	-5.543413314817089e+39	-1.8075812112854362e+37

Compiler

Compiled 28 to 21 computations (25% saved)

regimes388.0ms (2.3%)

Counts

20 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))

Outputs
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))

Calls

5 calls:

102.0ms	x
95.0ms	y
76.0ms	t
57.0ms	(/.f64 x y)
53.0ms	z

Results

Error	Segments	Branch
10.9b	5	`x`
6.6b	7	`y`
9.3b	3	`z`
10.3b	3	`t`
4.5b	3	`(/.f64 x y)`

Compiler

Compiled 151 to 100 computations (33.8% saved)

bsearch48.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.7137236222292127e-16	2.3994291205219863e-13
24.0ms	-5.543413314817089e+39	-1.8075812112854362e+37

Compiler

Compiled 28 to 21 computations (25% saved)

regimes186.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)

Outputs
(/.f64 x y)
(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
(-.f64 (/.f64 x y) 2)

Calls

5 calls:

48.0ms	(/.f64 x y)
40.0ms	z
33.0ms	t
33.0ms	x
27.0ms	y

Results

Error	Segments	Branch
18.0b	3	`x`
11.3b	3	`y`
16.5b	5	`z`
10.3b	3	`t`
8.3b	3	`(/.f64 x y)`

Compiler

Compiled 115 to 78 computations (32.2% saved)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.0736819129393307e+62	5.641897727699229e+66
24.0ms	-1.2774809762828962e+60	-3.146775199107534e+59

Compiler

Compiled 28 to 21 computations (25% saved)

regimes291.0ms (1.8%)

Counts

15 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))

Outputs
(-.f64 (/.f64 x y) 2)
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(-.f64 (/.f64 x y) 2)

Calls

5 calls:

84.0ms	x
80.0ms	y
54.0ms	(/.f64 x y)
44.0ms	z
23.0ms	t

Results

Error	Segments	Branch
21.7b	11	`x`
14.7b	11	`y`
16.9b	6	`z`
11.7b	3	`t`
16.5b	6	`(/.f64 x y)`

Compiler

Compiled 106 to 71 computations (33% saved)

bsearch52.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	4.871767737338084e-8	112164251.58799784
26.0ms	-65479.333014870856	-43359.30531929396

Compiler

Compiled 28 to 21 computations (25% saved)

regimes790.0ms (4.8%)

Counts

14 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)

Outputs
(-.f64 (/.f64 x y) 2)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(-.f64 (/.f64 x y) 2)

Calls

5 calls:

253.0ms	x
228.0ms	y
130.0ms	z
129.0ms	t
45.0ms	(/.f64 x y)

Results

Error	Segments	Branch
21.7b	11	`x`
14.7b	11	`y`
16.9b	6	`z`
11.7b	3	`t`
16.5b	6	`(/.f64 x y)`

Compiler

Compiled 97 to 64 computations (34% saved)

bsearch94.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	4.871767737338084e-8	112164251.58799784
64.0ms	-65479.333014870856	-43359.30531929396

Compiler

Compiled 28 to 21 computations (25% saved)

regimes393.0ms (2.4%)

Counts

13 → 6

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)

Outputs
(-.f64 -2 (/.f64 -2 t))
(-.f64 (/.f64 x y) 2)
(+.f64 (/.f64 2 (*.f64 t z)) -2)
(-.f64 -2 (/.f64 -2 t))
(-.f64 (/.f64 x y) 2)
(-.f64 -2 (/.f64 -2 t))

Calls

5 calls:

151.0ms	y
89.0ms	x
69.0ms	t
41.0ms	z
40.0ms	(/.f64 x y)

Results

Error	Segments	Branch
24.3b	8	`x`
17.8b	8	`y`
16.9b	6	`z`
17.1b	4	`t`
17.9b	5	`(/.f64 x y)`

Compiler

Compiled 90 to 59 computations (34.4% saved)

bsearch412.0ms (2.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
70.0ms	2.3807628322235074e+251	3.8087487429248067e+258
27.0ms	2.203510316292866e+203	7.48559890487486e+204
66.0ms	0.00027700226174603364	63072664.84105644
215.0ms	-1.3365087880153086e-96	-1.648106088751528e-103
32.0ms	-4.88146129393592e+138	-7.962675781922364e+135

Compiler

Compiled 226 to 183 computations (19% saved)

regimes318.0ms (1.9%)

Counts

12 → 11

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)

Outputs
(-.f64 -2 (/.f64 -2 t))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(-.f64 (/.f64 x y) 2)
(-.f64 -2 (/.f64 -2 t))
(-.f64 (/.f64 x y) 2)
(-.f64 -2 (/.f64 -2 t))

Calls

5 calls:

114.0ms	z
85.0ms	x
61.0ms	y
28.0ms	t
26.0ms	(/.f64 x y)

Results

Error	Segments	Branch
27.2b	5	`x`
19.5b	9	`y`
15.8b	11	`z`
17.6b	4	`t`
20.1b	3	`(/.f64 x y)`

Compiler

Compiled 83 to 55 computations (33.7% saved)

bsearch803.0ms (4.8%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
28.0ms	2.3807628322235074e+251	3.8087487429248067e+258
26.0ms	2.203510316292866e+203	7.48559890487486e+204
26.0ms	3.239117773031044e+40	5.414398575128346e+42
65.0ms	8.561961985765232e-103	1.4211833836732192e-102
125.0ms	2.244842226892545e-160	4.15821346682604e-153
94.0ms	2.5838294129882224e-179	3.835266042836965e-175
93.0ms	-3.9962311866569756e-226	-2.062980974533441e-232
77.0ms	-1.087531826591664e-150	-3.2878877710088412e-152
214.0ms	-1.3365087880153086e-96	-1.648106088751528e-103
54.0ms	-4.88146129393592e+138	-7.962675781922364e+135

Compiler

Compiled 948 to 757 computations (20.1% saved)

regimes602.0ms (3.6%)

Counts

9 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 (/.f64 2 z) t)
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(/.f64 2 (*.f64 t z))
(/.f64 (/.f64 2 t) z)

Outputs
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(/.f64 x y)

Calls

5 calls:

412.0ms	z
96.0ms	x
37.0ms	y
33.0ms	t
20.0ms	(/.f64 x y)

Results

Error	Segments	Branch
31.3b	6	`x`
22.9b	7	`y`
23.2b	4	`z`
28.3b	5	`t`
20.2b	3	`(/.f64 x y)`

Compiler

Compiled 68 to 48 computations (29.4% saved)

bsearch115.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	70181.00389210797	3.39671280098614e+18
70.0ms	-5.543413314817089e+39	-1.8075812112854362e+37

Compiler

Compiled 28 to 21 computations (25% saved)

regimes155.0ms (0.9%)

Counts

3 → 6

Calls

Call 1

Inputs
-2
(/.f64 2 t)
(/.f64 x y)

Outputs
(/.f64 x y)
(/.f64 2 t)
-2
(/.f64 2 t)
-2
(/.f64 x y)

Calls

5 calls:

56.0ms	(/.f64 x y)
54.0ms	t
17.0ms	z
14.0ms	y
11.0ms	x

Results

Error	Segments	Branch
38.8b	3	`x`
35.0b	3	`y`
35.5b	5	`z`
30.3b	6	`t`
28.2b	6	`(/.f64 x y)`

Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch127.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
25.0ms	70181.00389210797	3.39671280098614e+18
25.0ms	-3.2804819141557294e-221	-3.4956026146577073e-225
28.0ms	-1.1449599997397869e-132	-7.436963942485334e-139
25.0ms	-4.153040785521818e-12	-1.292439183690548e-22
25.0ms	-5.543413314817089e+39	-1.8075812112854362e+37

Compiler

Compiled 28 to 21 computations (25% saved)

regimes50.0ms (0.3%)

Accuracy

Total -25.3b remaining (-68.3%)

Threshold costs -25.3b (-68.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)

Outputs
-2
(/.f64 2 t)
-2

Calls

4 calls:

15.0ms	x
13.0ms	t
12.0ms	z
9.0ms	y

Results

Error	Segments	Branch
45.0b	5	`x`
47.5b	2	`y`
44.1b	3	`z`
37.0b	3	`t`

Compiler

Compiled 28 to 23 computations (17.9% saved)

bsearch54.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	4.871767737338084e-8	112164251.58799784
26.0ms	-1884.1561765682204	-2.532915209177127

Compiler

Compiled 28 to 21 computations (25% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	722
1	141	722
2	149	722
3	151	722
4	152	722

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(if (<=.f64 (/.f64 x y) -5543413314817088609005619687858146115584) (+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))) (if (<=.f64 (/.f64 x y) 5066275456618625/4503599627370496) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))))
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(if (<=.f64 (/.f64 x y) -5543413314817088609005619687858146115584) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z))) (if (<=.f64 (/.f64 x y) 3475844445350651/20282409603651670423947251286016) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))))
(if (<=.f64 (/.f64 x y) -5543413314817088609005619687858146115584) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2)) (if (<=.f64 (/.f64 x y) 3475844445350651/20282409603651670423947251286016) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 x y) (-.f64 (/.f64 2 t) 2))))
(if (<=.f64 (/.f64 x y) -1277480976282896197567660500988985921185235464404572712206336) (/.f64 x y) (if (<=.f64 (/.f64 x y) 107368191293933066491626424821042216294284232061526893343539200) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (-.f64 (/.f64 x y) 2)))
(if (<=.f64 t -8999411003608429/137438953472) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 3681003628020969/75557863725914323419136) (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z))) (-.f64 (/.f64 x y) 2)))
(if (<=.f64 t -8999411003608429/137438953472) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 3681003628020969/75557863725914323419136) (/.f64 (+.f64 2 (/.f64 2 z)) t) (-.f64 (/.f64 x y) 2)))
(if (<=.f64 z -4881461293935919932565937679769045290508647767882385935007058433679835020269728749480119155327142508083974337370639507883538229286880149504) (-.f64 -2 (/.f64 -2 t)) (if (<=.f64 z -6657362966942811/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (-.f64 (/.f64 x y) 2) (if (<=.f64 z 1277447457566947/4611686018427387904) (+.f64 (/.f64 2 (*.f64 t z)) -2) (if (<=.f64 z 220351031629286585850570074431287453159070620618806075625809337310570823937841227605229555526221058820366594793327586777182022261014918605772366979154214835081686262788371036306432490010905792811605426176) (-.f64 -2 (/.f64 -2 t)) (if (<=.f64 z 238076283222350739694433658623071123691315034954832484715250743694147688870120121511481811873649148270288426546522658008564954190686289732725829693232620891116335820505164935483450115422497133704600559753753339141106096794443862178661644687200776880128) (-.f64 (/.f64 x y) 2) (-.f64 -2 (/.f64 -2 t)))))))
(if (<=.f64 z -4881461293935919932565937679769045290508647767882385935007058433679835020269728749480119155327142508083974337370639507883538229286880149504) (-.f64 -2 (/.f64 -2 t)) (if (<=.f64 z -6657362966942811/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (-.f64 (/.f64 x y) 2) (if (<=.f64 z -7960701989857939/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (/.f64 (/.f64 2 z) t) (if (<=.f64 z -2936606358827999/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152) (-.f64 (/.f64 x y) 2) (if (<=.f64 z 7591901187723333/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (/.f64 2 (*.f64 t z)) (if (<=.f64 z 120884733920065/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (-.f64 (/.f64 x y) 2) (if (<=.f64 z 8674745684198209/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 32391177730310441915265614553733062983680) (-.f64 (/.f64 x y) 2) (if (<=.f64 z 220351031629286585850570074431287453159070620618806075625809337310570823937841227605229555526221058820366594793327586777182022261014918605772366979154214835081686262788371036306432490010905792811605426176) (-.f64 -2 (/.f64 -2 t)) (if (<=.f64 z 238076283222350739694433658623071123691315034954832484715250743694147688870120121511481811873649148270288426546522658008564954190686289732725829693232620891116335820505164935483450115422497133704600559753753339141106096794443862178661644687200776880128) (-.f64 (/.f64 x y) 2) (-.f64 -2 (/.f64 -2 t))))))))))))
(if (<=.f64 (/.f64 x y) -5543413314817088609005619687858146115584) (/.f64 x y) (if (<=.f64 (/.f64 x y) 4822801864272839/68719476736) (-.f64 -2 (/.f64 -2 t)) (/.f64 x y)))
(if (<=.f64 (/.f64 x y) -5543413314817088609005619687858146115584) (/.f64 x y) (if (<=.f64 (/.f64 x y) -2570607736591333/618970019642690137449562112) (/.f64 2 t) (if (<=.f64 (/.f64 x y) -1830029936311029/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) -2 (if (<=.f64 (/.f64 x y) -6675506820798259/203491651394038521547847039511757134922630564035519658215217828728150550470508791245160894801988351157926327837934364027279321339542216951915385621714197694277806322617004838820284371518304871360136871830318804992117027222823378335301632) (/.f64 2 t) (if (<=.f64 (/.f64 x y) 4822801864272839/68719476736) -2 (/.f64 x y))))))
(if (<=.f64 t -4143303249365457/2199023255552) -2 (if (<=.f64 t 3681003628020969/75557863725914323419136) (/.f64 2 t) -2))
-2

Outputs
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(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
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-2

Compiler

Compiled 559 to 370 computations (33.8% saved)

soundness186.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-neg_binary64`
614×	`times-frac_binary64`
398×	`div-sub_binary64`
345×	`distribute-rgt-in_binary64`
329×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	28	23
2	56	23
3	121	21
4	285	21
5	541	21
6	1175	20
7	3598	19
8	6824	19

Stop Event

1×	node limit

Compiler

Compiled 577 to 419 computations (27.4% saved)

end193.0ms (1.2%)

Compiler: Compiled 503 to 298 computations (40.8% saved)

Iter	Nodes	Cost
0	13	531
1	24	531
2	34	531
3	42	531
4	51	531
5	68	531
6	96	531
7	107	531
8	112	531
9	112	531

Iter	Nodes	Cost
0	13	531
1	24	531
2	34	531
3	42	531
4	51	531
5	68	531
6	96	531
7	107	531
8	112	531
9	112	531

Iter	Nodes	Cost
0	13	531
1	24	531
2	34	531
3	42	531
4	51	531
5	68	531
6	96	531
7	107	531
8	112	531
9	112	531