Details

analyze531.0ms (3.1%)

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)

sample2.0s (12.1%)

Results

1.5s	8256×	body	256	valid
544.0ms	2520×	body	256	invalid

preprocess73.0ms (0.4%)

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)

simplify92.0ms (0.5%)

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
▶	10.1b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
▶	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize55.0ms (0.3%)

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)

series17.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite336.0ms (2%)

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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simplify352.0ms (2.1%)

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 (+.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)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.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)))
✓	10.1b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

Compiler

Compiled 68 to 41 computations (39.7% saved)

series42.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
29.0ms	z	@	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	t	@	-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))

rewrite143.0ms (0.8%)

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	54
1	342	50
2	5267	50

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

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

simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

558×	`fma-neg_binary64`
537×	`div-sub_binary64`
487×	`fma-def_binary64`
418×	`unsub-neg_binary64`
309×	`associate-/l/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	43	1529
1	104	1525
2	219	1418
3	352	1418
4	663	1247
5	1434	1247
6	3137	1245
7	6169	1245

Stop Event

1×	node limit

Counts

279 → 209

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 (.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)
(.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)))

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 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
(+.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 -2 (/.f64 -2 z)) t))
(+.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 -2 (/.f64 -2 z)) t))
(+.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 (.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 -2 (/.f64 -2 z)) t))
(+.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 -2 (/.f64 -2 z)) t))
(+.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 -2 (/.f64 -2 z)) t))
(+.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 (.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))
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eval272.0ms (1.6%)

Compiler: Compiled 10055 to 6247 computations (37.9% saved)

prune123.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	437	12	449
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	439	12	451

Error

Counts

451 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.4b	(/.f64 x y)
	33.4b	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))
▶	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
▶	16.0b	(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
▶	15.7b	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
	8.6b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (/.f64 1 (-.f64 2 (/.f64 2 z)))) t)))
	25.4b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 t (.f64 z -2))) (*.f64 t z)))
	0.1b	(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
▶	15.7b	(-.f64 (+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z)))) 2)
	30.9b	(-.f64 (/.f64 x y) 2)
	32.4b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
	23.2b	(/.f64 (/.f64 (fma.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) y (.f64 (.f64 z t) x)) y) (.f64 z t))

Compiler

Compiled 420 to 308 computations (26.7% saved)

localize49.0ms (0.3%)

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)

series7.0ms (0%)

Counts

3 → 96

Calls

24 calls:

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

rewrite146.0ms (0.9%)

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

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

simplify221.0ms (1.3%)

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)
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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)

Outputs
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(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
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(/.f64 (+.f64 2 (/.f64 2 z)) t)
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(-.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))
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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 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
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localize32.0ms (0.2%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
427×	`fma-def_binary64`
393×	`pow-prod-down_binary64`
311×	`pow2_binary64`
262×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	233	13
2	3407	13

Stop Event

1×	node limit

Counts

1 → 88

Calls

Call 1

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

Outputs

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

simplify101.0ms (0.6%)

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	14	402
1	26	402
2	35	402
3	40	402
4	48	402
5	69	402
6	126	402
7	272	402
8	500	402
9	721	402
10	960	402
11	1175	402
12	1185	402
13	1200	402
14	1205	402

Stop Event

1×

saturated

Counts

124 → 96

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)

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

localize15.0ms (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	@	inf	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
0.0ms	t	@	0	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)

rewrite99.0ms (0.6%)

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)))))

simplify84.0ms (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)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z)))) 2)
✓	0.0b	(+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z))))
✓	0.0b	(.f64 2 (/.f64 1 (.f64 t z)))
✓	0.6b	(/.f64 1 (*.f64 t z))

Compiler

Compiled 59 to 39 computations (33.9% saved)

series9.0ms (0.1%)

Counts

4 → 72

Calls

24 calls:

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

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
596×	`fma-def_binary64`
338×	`pow2_binary64`
317×	`fma-neg_binary64`
236×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	274	43
2	3826	43

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

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

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

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-neg_binary64`
431×	`fma-def_binary64`
269×	`cancel-sign-sub-inv_binary64`
100×	`associate-/r/_binary64`
97×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	714
1	44	714
2	72	714
3	97	714
4	137	660
5	264	660
6	463	660
7	831	660
8	1530	660
9	2551	660
10	3447	660
11	3487	660
12	3487	660

Stop Event

1×

saturated

Counts

284 → 222

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

eval739.0ms (4.4%)

Compiler: Compiled 14501 to 10400 computations (28.3% saved)

prune332.0ms (2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	744	12	756
Fresh	3	4	7
Picked	1	0	1
Done	2	2	4
Total	750	18	768

Error

Counts

768 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	15.7b	(+.f64 (/.f64 (/.f64 2 z) t) (+.f64 (/.f64 2 t) -2))
	25.4b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 t (.f64 z -2))) (*.f64 t z)))
✓	47.4b	(/.f64 x y)
	33.4b	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))
	30.7b	(+.f64 (/.f64 (/.f64 2 z) t) -2)
	30.9b	(-.f64 (/.f64 x y) 2)
▶	47.9b	(/.f64 2 t)
✓	16.0b	(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
▶	47.4b	(/.f64 2 (*.f64 t z))
	22.6b	(+.f64 (/.f64 (.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (/.f64 1 (-.f64 2 (/.f64 2 z)))) t) -2)
	46.0b	-2
▶	0.1b	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
	32.7b	(/.f64 (-.f64 2 (/.f64 -2 z)) t)
	31.4b	(-.f64 (/.f64 2 t) 2)
	15.7b	(+.f64 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z))) -2)
▶	32.4b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
	23.2b	(/.f64 (/.f64 (fma.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) y (.f64 (.f64 z t) x)) y) (.f64 z t))
▶	15.7b	(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (/.f64 2 t) z)) 2)

Compiler

Compiled 479 to 362 computations (24.4% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)
	0.0b	(+.f64 2 (/.f64 2 z))
✓	0.1b	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
	0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

Compiler

Compiled 52 to 37 computations (28.8% saved)

series12.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
1.0ms	y	@	0	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
1.0ms	x	@	0	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
1.0ms	x	@	-inf	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
1.0ms	x	@	inf	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`log-prod_binary64`
306×	`prod-diff_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
256×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	310	19
2	4036	19

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify248.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1144×	`fma-neg_binary64`
458×	`fma-def_binary64`
172×	`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	30	909
1	73	909
2	123	909
3	182	909
4	276	792
5	524	792
6	1023	792
7	2231	792
8	3192	792
9	3679	792
10	3890	792
11	3935	792
12	3945	792
13	3951	792
14	4378	792
15	4378	792

Stop Event

1×

saturated

Counts

79 → 46

Calls

Call 1

Inputs
(/.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 (.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 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 (/.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)

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

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
✓	0.6b	(/.f64 2 (*.f64 t z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`pow1_binary64`
579×	`add-log-exp_binary64`
579×	`log1p-expm1-u_binary64`
579×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1570	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 2 (*.f64 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 1 (*.f64 t z)))))) (#(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 (sqrt.f64 (/.f64 2 (*.f64 t z))) (sqrt.f64 (/.f64 2 (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 z (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 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 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 (*.f64 t z) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (*.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 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))))))))

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

21 → 21

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
	0.6b	(/.f64 2 (*.f64 t z))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite82.0ms (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	13
1	228	13
2	3449	13

Stop Event

1×	node limit

Counts

1 → 92

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.3%)

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

140 → 97

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))
(+.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 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))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 35 computations (27.1% saved)

series15.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	t	@	0	(-.f64 (+.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (/.f64 2 t) z)) 2)
0.0ms	t	@	0	(*.f64 2 (/.f64 1 t))
0.0ms	t	@	0	(/.f64 (/.f64 2 t) z)
0.0ms	z	@	0	(+.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (/.f64 2 t) z))
0.0ms	t	@	inf	(/.f64 (/.f64 2 t) z)

rewrite394.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`fma-def_binary64`
562×	`log-prod_binary64`
352×	`fma-neg_binary64`
301×	`pow2_binary64`
270×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	260	40
2	3618	40

Stop Event

1×	node limit

Counts

4 → 279

Calls

Call 1

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

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

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-neg_binary64`
431×	`fma-def_binary64`
269×	`cancel-sign-sub-inv_binary64`
100×	`associate-/r/_binary64`
97×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	762
1	44	762
2	72	762
3	97	762
4	137	708
5	264	708
6	463	708
7	831	708
8	1530	708
9	2551	708
10	3447	708
11	3487	708
12	3487	708

Stop Event

1×

saturated

Counts

363 → 289

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))
(/.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 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)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)

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

eval361.0ms (2.1%)

Compiler: Compiled 10985 to 7601 computations (30.8% saved)

prune257.0ms (1.5%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	612	8	620
Fresh	6	5	11
Picked	1	0	1
Done	1	5	6
Total	620	18	638

Error

Counts

638 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.7b	(+.f64 (/.f64 (/.f64 2 z) t) -2)
	30.9b	(-.f64 (/.f64 x y) 2)
✓	47.9b	(/.f64 2 t)
✓	16.0b	(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
✓	47.4b	(/.f64 2 (*.f64 t z))
	22.6b	(+.f64 (/.f64 (.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (/.f64 1 (-.f64 2 (/.f64 2 z)))) t) -2)
	46.0b	-2
	39.6b	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 2 t))) (.f64 (/.f64 y x) z))
✓	32.4b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
	40.6b	(/.f64 (/.f64 (fma.f64 x (.f64 t z) (.f64 y 2)) y) (*.f64 t z))
▶	15.7b	(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
	32.4b	(fma.f64 (/.f64 1 y) x (/.f64 (/.f64 2 t) z))
▶	25.4b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 t (.f64 z -2))) (*.f64 t z)))
✓	47.4b	(/.f64 x y)
	47.4b	(*.f64 (/.f64 2 t) (/.f64 1 z))
▶	47.4b	(/.f64 (/.f64 2 z) t)
	32.7b	(/.f64 (-.f64 2 (/.f64 -2 z)) t)
▶	31.4b	(-.f64 (/.f64 2 t) 2)

Compiler

Compiled 390 to 290 computations (25.6% saved)

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

series10.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	t	@	0	(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
1.0ms	t	@	inf	(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
1.0ms	z	@	0	(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
1.0ms	z	@	-inf	(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
1.0ms	z	@	inf	(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary64`
464×	`fma-def_binary64`
391×	`pow-prod-down_binary64`
289×	`pow2_binary64`
279×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	216	16
2	3346	16

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

Outputs

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

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-neg_binary64`
429×	`fma-def_binary64`
269×	`cancel-sign-sub-inv_binary64`
100×	`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	833	267
8	1525	267
9	2548	267
10	3445	267
11	3485	267
12	3485	267

Stop Event

1×

saturated

Counts

120 → 106

Calls

Call 1

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

localize15.0ms (0.1%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (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 z) t)

Outputs

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

simplify12.0ms (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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	t	@	-inf	(+.f64 (/.f64 (/.f64 2 z) t) -2)
0.0ms	z	@	0	(+.f64 (/.f64 (/.f64 2 z) t) -2)
0.0ms	t	@	0	(+.f64 (/.f64 (/.f64 2 z) t) -2)
0.0ms	z	@	-inf	(+.f64 (/.f64 (/.f64 2 z) t) -2)
0.0ms	z	@	inf	(+.f64 (/.f64 (/.f64 2 z) t) -2)

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`unpow-prod-down_binary64`
423×	`log-prod_binary64`
323×	`exp-prod_binary64`
239×	`pow2_binary64`
237×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	184	10
2	2482	10

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) (+.f64 (/.f64 2 (*.f64 z t)) 2)) (/.f64 4 (+.f64 (/.f64 2 (*.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (*.f64 z t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)) 2) (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)) (sqrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (/.f64 8 (pow.f64 (*.f64 z t) 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) (-.f64 4 (/.f64 -4 (*.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8 (/.f64 8 (pow.f64 (*.f64 z t) 3))) (pow.f64 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) (-.f64 4 (/.f64 -4 (*.f64 z t))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) -4) (/.f64 1 (+.f64 (/.f64 2 (*.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) -4) (pow.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 z t)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 2 (*.f64 z t)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 2) 3) (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) (-.f64 4 (/.f64 -4 (*.f64 z t)))) (+.f64 -8 (/.f64 8 (pow.f64 (*.f64 z t) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 2 (*.f64 z t)) 2) (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (/.f64 8 (pow.f64 (*.f64 z t) 3))) (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) (-.f64 4 (/.f64 -4 (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (/.f64 8 (pow.f64 (*.f64 z t) 3))) (+.f64 4 (-.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) (/.f64 -4 (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) -4) (+.f64 (/.f64 2 (*.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8 (/.f64 8 (pow.f64 (*.f64 z t) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) (-.f64 4 (/.f64 -4 (*.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) -4)) (neg.f64 (+.f64 (/.f64 2 (*.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 4 (pow.f64 (*.f64 z t) 2))) (-.f64 -2 (/.f64 2 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) (-.f64 4 (/.f64 -4 (*.f64 z t)))) (+.f64 -8 (/.f64 8 (pow.f64 (*.f64 z t) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 2 (*.f64 z t)) 2) (+.f64 (/.f64 4 (pow.f64 (*.f64 z t) 2)) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 z t)) -2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 (/.f64 1 z) t) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (*.f64 z 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 (/.f64 2 (*.f64 z t)) 1 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (*.f64 z t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) 2) (cbrt.f64 (/.f64 2 (*.f64 z t))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (*.f64 z z))) (*.f64 (cbrt.f64 (/.f64 2 z)) (/.f64 1 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (*.f64 z t))) (sqrt.f64 (/.f64 2 (*.f64 z t))) -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 z) (/.f64 1 (neg.f64 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 (cbrt.f64 (/.f64 4 (*.f64 z z))) 1) (/.f64 (cbrt.f64 (/.f64 2 z)) t) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 2 z)) 1) (/.f64 (sqrt.f64 (/.f64 2 z)) t) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (/.f64 2 z) (cbrt.f64 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (/.f64 4 (*.f64 z z))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 2 (*.f64 z t))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 2 z)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (/.f64 2 z)) (cbrt.f64 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 t)) (/.f64 (/.f64 1 z) (sqrt.f64 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -1/2) (/.f64 (/.f64 2 z) (sqrt.f64 t)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (/.f64 4 (*.f64 z z))) (sqrt.f64 t)) (/.f64 (cbrt.f64 (/.f64 2 z)) (sqrt.f64 t)) -2)))))

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`associate-*l/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/l*_binary64`
9×	`*-commutative_binary64`
9×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	198
1	23	198
2	34	198
3	42	198
4	51	198
5	68	198
6	96	198
7	107	198
8	112	198
9	112	198

Stop Event

1×

saturated

Counts

92 → 73

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)

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (.f64 t (.f64 z -2)))
✓	0.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 t (.f64 z -2))) (*.f64 t z)))
✓	10.0b	(/.f64 (+.f64 2 (.f64 t (.f64 z -2))) (*.f64 t z))

Compiler

Compiled 57 to 31 computations (45.6% saved)

series9.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite119.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`log-prod_binary64`
552×	`fma-def_binary64`
306×	`fma-neg_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	318	42
2	4827	42

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 z -2) 2) (/.f64 (/.f64 1 t) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 z -2) 2)) 2) (*.f64 (cbrt.f64 (fma.f64 t (*.f64 z -2) 2)) (/.f64 (/.f64 1 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))) 2) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 t (*.f64 z -2) 2)) (*.f64 (sqrt.f64 (fma.f64 t (*.f64 z -2) 2)) (/.f64 (/.f64 1 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -2) 2) (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 t (*.f64 z -2) 2)) (/.f64 1 (*.f64 z (neg.f64 t))))))) (#(struct:change #<rule 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simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

517×	`fma-neg_binary64`
268×	`fma-def_binary64`
245×	`cancel-sign-sub-inv_binary64`
130×	`associate-/r/_binary64`
126×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	1032
1	44	1032
2	71	1032
3	89	1032
4	113	1032
5	188	1032
6	387	1032
7	768	1032
8	1252	1032
9	1768	1032
10	2684	1032
11	2967	1032
12	2977	1032
13	2991	1032
14	2996	1032

Stop Event

1×

saturated

Counts

292 → 212

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

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

eval190.0ms (1.1%)

Compiler: Compiled 9429 to 5758 computations (38.9% saved)

prune88.0ms (0.5%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	513	1	514
Fresh	0	8	8
Picked	0	1	1
Done	1	8	9
Total	514	18	532

Error

Counts

532 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	32.3b	(+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z))
✓	25.4b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 t (.f64 z -2))) (*.f64 t z)))
✓	30.7b	(+.f64 (/.f64 (/.f64 2 z) t) -2)
	30.9b	(-.f64 (/.f64 x y) 2)
✓	47.9b	(/.f64 2 t)
✓	16.0b	(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
✓	47.4b	(/.f64 2 (*.f64 t z))
	22.6b	(+.f64 (/.f64 (.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (/.f64 1 (-.f64 2 (/.f64 2 z)))) t) -2)
	46.0b	-2
	39.6b	(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 2 t))) (.f64 (/.f64 y x) z))
	40.6b	(/.f64 (/.f64 (fma.f64 x (.f64 t z) (.f64 y 2)) y) (*.f64 t z))
✓	15.7b	(+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2))
	32.4b	(fma.f64 (/.f64 1 y) x (/.f64 (/.f64 2 t) z))
✓	47.4b	(/.f64 x y)
	47.4b	(*.f64 (/.f64 2 t) (/.f64 1 z))
✓	47.4b	(/.f64 (/.f64 2 z) t)
	32.7b	(/.f64 (-.f64 2 (/.f64 -2 z)) t)
✓	31.4b	(-.f64 (/.f64 2 t) 2)

Compiler

Compiled 222 to 166 computations (25.2% saved)

regimes205.0ms (1.2%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

9 calls:

27.0ms	(/.f64 x y)
24.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
24.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
23.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
20.0ms	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 (/.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 481 to 310 computations (35.6% saved)

regimes252.0ms (1.5%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

5 calls:

77.0ms	x
68.0ms	y
47.0ms	t
28.0ms	z
26.0ms	(/.f64 x y)

Results

Error	Segments	Branch
6.3b	7	`x`
7.0b	7	`y`
5.8b	3	`z`
7.4b	5	`t`
3.6b	3	`(/.f64 x y)`

Compiler

Compiled 176 to 118 computations (33% saved)

bsearch51.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.8977414785096288e+34	1.773330799941989e+35
26.0ms	-4.772843299438608e+52	-7.640234326343112e+50

Compiler

Compiled 28 to 21 computations (25% saved)

regimes412.0ms (2.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

5 calls:

120.0ms	x
118.0ms	y
83.0ms	t
51.0ms	z
33.0ms	(/.f64 x y)

Results

Error	Segments	Branch
6.3b	7	`x`
7.0b	7	`y`
5.8b	3	`z`
7.4b	5	`t`
3.6b	3	`(/.f64 x y)`

Compiler

Compiled 130 to 83 computations (36.2% saved)

bsearch91.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.8977414785096288e+34	1.773330799941989e+35
58.0ms	-4.772843299438608e+52	-7.640234326343112e+50

Compiler

Compiled 28 to 21 computations (25% saved)

regimes466.0ms (2.8%)

Counts

16 → 3

Calls

Call 1

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

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) z))

Calls

5 calls:

208.0ms	y
137.0ms	x
71.0ms	t
25.0ms	z
21.0ms	(/.f64 x y)

Results

Error	Segments	Branch
6.3b	7	`x`
7.0b	7	`y`
5.8b	3	`z`
7.5b	5	`t`
3.6b	3	`(/.f64 x y)`

Compiler

Compiled 121 to 80 computations (33.9% saved)

bsearch99.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	1.773330799941989e+35	5.37951941801818e+36
26.0ms	-4.772843299438608e+52	-7.640234326343112e+50

Compiler

Compiled 28 to 21 computations (25% saved)

regimes627.0ms (3.7%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

5 calls:

210.0ms	x
165.0ms	t
97.0ms	z
75.0ms	(/.f64 x y)
74.0ms	y

Results

Error	Segments	Branch
10.3b	9	`x`
13.6b	5	`y`
5.8b	3	`z`
8.0b	5	`t`
10.7b	8	`(/.f64 x y)`

Compiler

Compiled 112 to 73 computations (34.8% saved)

bsearch115.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	1.9518928766427539e-10	2.0953723651170326e-5
50.0ms	-1.6654633518536546e-31	-8.162780369033404e-33

Compiler

Compiled 28 to 21 computations (25% saved)

regimes586.0ms (3.5%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

5 calls:

156.0ms	z
147.0ms	(/.f64 x y)
115.0ms	t
86.0ms	y
75.0ms	x

Results

Error	Segments	Branch
16.4b	10	`x`
17.7b	9	`y`
13.5b	5	`z`
8.4b	4	`t`
12.7b	6	`(/.f64 x y)`

Compiler

Compiled 103 to 68 computations (34% saved)

bsearch81.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
27.0ms	1.464667427219945e+39	1.5774443696211637e+39
26.0ms	7.737905137739322e-15	1.896049959103844e-12
27.0ms	-7.807923211389485e+37	-4.2275714694166367e+33

Compiler

Compiled 28 to 21 computations (25% saved)

regimes234.0ms (1.4%)

Counts

13 → 3

Calls

Call 1

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

64.0ms	(/.f64 x y)
62.0ms	y
57.0ms	x
26.0ms	z
21.0ms	t

Results

Error	Segments	Branch
18.2b	9	`x`
19.9b	7	`y`
14.6b	4	`z`
9.6b	3	`t`
15.1b	7	`(/.f64 x y)`

Compiler

Compiled 94 to 64 computations (31.9% saved)

bsearch87.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	0.001894371348638763	0.12825664589588665
27.0ms	-7.807923211389485e+37	-4.2275714694166367e+33

Compiler

Compiled 28 to 21 computations (25% saved)

regimes253.0ms (1.5%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

5 calls:

86.0ms	t
53.0ms	x
48.0ms	y
36.0ms	(/.f64 x y)
27.0ms	z

Results

Error	Segments	Branch
21.3b	6	`x`
21.3b	7	`y`
14.6b	4	`z`
14.8b	7	`t`
16.6b	6	`(/.f64 x y)`

Compiler

Compiled 87 to 59 computations (32.2% saved)

bsearch132.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
27.0ms	1.9518928766427539e-10	2.0953723651170326e-5
44.0ms	-3.2799064600894703e-54	-1.0510999880050446e-56
60.0ms	-3.666230350181237e+23	-16743435860515695000.0

Compiler

Compiled 28 to 21 computations (25% saved)

regimes437.0ms (2.6%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

5 calls:

190.0ms	x
104.0ms	z
56.0ms	y
50.0ms	t
33.0ms	(/.f64 x y)

Results

Error	Segments	Branch
22.2b	8	`x`
23.1b	5	`y`
15.9b	7	`z`
17.2b	4	`t`
19.6b	3	`(/.f64 x y)`

Compiler

Compiled 80 to 54 computations (32.5% saved)

bsearch815.0ms (4.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
83.0ms	210269258469706050.0	1568323266981499100.0
284.0ms	1.6882588170980352e-114	1.5708392973897382e-105
149.0ms	-1.839197125476584e-284	-1.142669136576005e-290
158.0ms	-3.484560384966927e-179	-1.0119996206757005e-199
26.0ms	-3.2799064600894703e-54	-1.0510999880050446e-56
114.0ms	-3.666230350181237e+23	-16743435860515695000.0

Compiler

Compiled 608 to 485 computations (20.2% saved)

regimes391.0ms (2.3%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

5 calls:

118.0ms	z
107.0ms	x
95.0ms	y
41.0ms	t
26.0ms	(/.f64 x y)

Results

Error	Segments	Branch
22.2b	8	`x`
23.1b	5	`y`
15.9b	7	`z`
17.3b	4	`t`
19.6b	3	`(/.f64 x y)`

Compiler

Compiled 58 to 40 computations (31% saved)

bsearch782.0ms (4.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
28.0ms	210269258469706050.0	1568323266981499100.0
452.0ms	1.6882588170980352e-114	1.5708392973897382e-105
77.0ms	-1.839197125476584e-284	-1.142669136576005e-290
127.0ms	-3.484560384966927e-179	-1.0119996206757005e-199
48.0ms	-3.2799064600894703e-54	-1.0510999880050446e-56
51.0ms	-3.666230350181237e+23	-16743435860515695000.0

Compiler

Compiled 608 to 485 computations (20.2% saved)

regimes198.0ms (1.2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

5 calls:

61.0ms	(/.f64 x y)
37.0ms	x
25.0ms	z
17.0ms	y
16.0ms	t

Results

Error	Segments	Branch
25.7b	9	`x`
28.2b	4	`y`
22.9b	5	`z`
17.3b	4	`t`
27.2b	7	`(/.f64 x y)`

Compiler

Compiled 48 to 34 computations (29.2% saved)

bsearch273.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
27.0ms	7.737905137739322e-15	1.896049959103844e-12
218.0ms	1.7301110420622847e-101	3.241674198218808e-98
29.0ms	-1.6827032456677398e-46	-9.563779981153959e-48

Compiler

Compiled 172 to 141 computations (18% saved)

regimes85.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

5 calls:

49.0ms	(/.f64 x y)
12.0ms	x
11.0ms	t
8.0ms	y
4.0ms	z

Results

Error	Segments	Branch
29.7b	3	`x`
29.4b	2	`y`
30.9b	1	`z`
19.0b	3	`t`
28.4b	5	`(/.f64 x y)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch82.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	7.737905137739322e-15	1.896049959103844e-12
28.0ms	-1.6827032456677398e-46	-9.563779981153959e-48

Compiler

Compiled 28 to 21 computations (25% saved)

regimes142.0ms (0.8%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

5 calls:

55.0ms	y
26.0ms	t
22.0ms	x
19.0ms	z
17.0ms	(/.f64 x y)

Results

Error	Segments	Branch
34.4b	6	`x`
36.1b	7	`y`
39.5b	5	`z`
29.3b	6	`t`
28.8b	6	`(/.f64 x y)`

Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch157.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
27.0ms	1.8977414785096288e+34	1.773330799941989e+35
27.0ms	3.652987621178514e-185	1.2008553736903764e-183
30.0ms	-4.485578153984884e-205	-2.0267912254615655e-211
48.0ms	-1.322234774983673e-170	-1.4736995233803917e-171
25.0ms	-106.4603989295853	-1.551224665586853e-8

Compiler

Compiled 28 to 21 computations (25% saved)

regimes90.0ms (0.5%)

Accuracy

Total -30.6b remaining (-96%)

Threshold costs -30.6b (-96%)

Counts

2 → 3

Calls

Call 1

Inputs
-2
(/.f64 2 t)

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

Calls

4 calls:

50.0ms	t
18.0ms	y
12.0ms	x
9.0ms	z

Results

Error	Segments	Branch
41.6b	3	`x`
41.5b	6	`y`
42.3b	2	`z`
31.8b	3	`t`

Compiler

Compiled 28 to 23 computations (17.9% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	7.886223072007603e-6	0.001894371348638763
28.0ms	-31.516396422147622	-0.049378204007154765

Compiler

Compiled 28 to 21 computations (25% saved)

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	709
1	130	709
2	138	709
3	142	709
4	146	709
5	148	709
6	149	709

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)) (if (<=.f64 (/.f64 x y) 18977414785096287812857434726203392) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2)) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)) (if (<=.f64 (/.f64 x y) 18977414785096287812857434726203392) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)) (if (<=.f64 (/.f64 x y) 177333079994198907919747376962600960) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z))))
(if (<=.f64 z -243407741564872992/1461501637330902918203684832716283019655932542976) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)) (if (<=.f64 z 15464488604108701696/79228162514264337593543950336) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))))
(if (<=.f64 t -78079232113894848058657965212730130432) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 613060005772772/79228162514264337593543950336) (/.f64 (-.f64 2 (/.f64 -2 z)) t) (if (<=.f64 t 1464667427219945078046226692761431572480) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (-.f64 (/.f64 x y) 2))))
(if (<=.f64 t -78079232113894848058657965212730130432) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 34944983448907272/18446744073709551616) (/.f64 (-.f64 2 (/.f64 -2 z)) t) (-.f64 (/.f64 x y) 2)))
(if (<=.f64 z -366623035018123684085760) (-.f64 (/.f64 2 t) 2) (if (<=.f64 z -2829635303592159/862718293348820473429344482784628181556388621521298319395315527974912) (-.f64 (/.f64 x y) 2) (if (<=.f64 z 15464488604108701696/79228162514264337593543950336) (+.f64 (/.f64 (/.f64 2 z) t) -2) (-.f64 (/.f64 2 t) 2))))
(if (<=.f64 z -366623035018123684085760) (-.f64 (/.f64 2 t) 2) (if (<=.f64 z -2829635303592159/862718293348820473429344482784628181556388621521298319395315527974912) (-.f64 (/.f64 x y) 2) (if (<=.f64 z -1240983847993237/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (/.f64 2 (*.f64 t z)) (if (<=.f64 z -2067347105091663360/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (-.f64 (/.f64 x y) 2) (if (<=.f64 z 4713538480005385/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 210269258469706048) (-.f64 (/.f64 x y) 2) (-.f64 (/.f64 2 t) 2)))))))
(if (<=.f64 z -366623035018123684085760) (-.f64 (/.f64 2 t) 2) (if (<=.f64 z -2829635303592159/862718293348820473429344482784628181556388621521298319395315527974912) (-.f64 (/.f64 x y) 2) (if (<=.f64 z -1240983847993237/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (/.f64 (/.f64 2 z) t) (if (<=.f64 z -2067347105091663360/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (-.f64 (/.f64 x y) 2) (if (<=.f64 z 4713538480005385/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (/.f64 (/.f64 2 z) t) (if (<=.f64 z 210269258469706048) (-.f64 (/.f64 x y) 2) (-.f64 (/.f64 2 t) 2)))))))
(if (<=.f64 t -4326399780258517/25711008708143844408671393477458601640355247900524685364822016) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 1260864198284623360/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (/.f64 2 t) (if (<=.f64 t 613060005772772/79228162514264337593543950336) (/.f64 (/.f64 2 z) t) (-.f64 (/.f64 x y) 2))))
(if (<=.f64 t -4326399780258517/25711008708143844408671393477458601640355247900524685364822016) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 613060005772772/79228162514264337593543950336) (/.f64 2 t) (-.f64 (/.f64 x y) 2)))
(if (<=.f64 (/.f64 x y) -3745742288664021/35184372088832) (/.f64 x y) (if (<=.f64 (/.f64 x y) -449465039627109/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192) -2 (if (<=.f64 (/.f64 x y) -162141892092543360/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 2 t) (if (<=.f64 (/.f64 x y) 715822403657171584/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) -2 (if (<=.f64 (/.f64 x y) 18977414785096287812857434726203392) (/.f64 2 t) (/.f64 x y))))))
(if (<=.f64 t -2217769237231951/70368744177664) -2 (if (<=.f64 t 4655204438960249/590295810358705651712) (/.f64 2 t) -2))
-2

Outputs
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)) (if (<=.f64 (/.f64 x y) 18977414785096287812857434726203392) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 (/.f64 2 t) -2)) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t))) (if (<=.f64 (/.f64 x y) 18977414785096287812857434726203392) (+.f64 (/.f64 (/.f64 2 t) z) (+.f64 -2 (/.f64 2 t))) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 z t)))))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)) (if (<=.f64 (/.f64 x y) 18977414785096287812857434726203392) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t))) (if (<=.f64 (/.f64 x y) 18977414785096287812857434726203392) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (+.f64 (/.f64 x y) (/.f64 2 (*.f64 z t)))))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)) (if (<=.f64 (/.f64 x y) 177333079994198907919747376962600960) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z))))
(if (<=.f64 (/.f64 x y) -47728432994386079587531363901867922521389929158672384) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t))) (if (<=.f64 (/.f64 x y) 177333079994198907919747376962600960) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z))))
(if (<=.f64 z -243407741564872992/1461501637330902918203684832716283019655932542976) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2)) (if (<=.f64 z 15464488604108701696/79228162514264337593543950336) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))))
(if (<=.f64 z -7606491923902281/45671926166590716193865151022383844364247891968) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t))) (if (<=.f64 z 943877478278119/4835703278458516698824704) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))))
(if (<=.f64 t -78079232113894848058657965212730130432) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 613060005772772/79228162514264337593543950336) (/.f64 (-.f64 2 (/.f64 -2 z)) t) (if (<=.f64 t 1464667427219945078046226692761431572480) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (-.f64 (/.f64 x y) 2))))
(if (<=.f64 t -78079232113894848058657965212730130432) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 153265001443193/19807040628566084398385987584) (/.f64 (-.f64 2 (/.f64 -2 z)) t) (if (<=.f64 t 1464667427219945078046226692761431572480) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) -2))))
(if (<=.f64 t -78079232113894848058657965212730130432) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 153265001443193/19807040628566084398385987584) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t 1464667427219945078046226692761431572480) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) -2))))
(if (<=.f64 t -78079232113894848058657965212730130432) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 34944983448907272/18446744073709551616) (/.f64 (-.f64 2 (/.f64 -2 z)) t) (-.f64 (/.f64 x y) 2)))
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-2

Compiler

Compiled 551 to 367 computations (33.4% saved)

soundness174.0ms (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)

end218.0ms (1.3%)

Compiler: Compiled 495 to 297 computations (40% 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	11	198
1	23	198
2	34	198
3	42	198
4	51	198
5	68	198
6	96	198
7	107	198
8	112	198
9	112	198

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	11	198
1	23	198
2	34	198
3	42	198
4	51	198
5	68	198
6	96	198
7	107	198
8	112	198
9	112	198

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	11	198
1	23	198
2	34	198
3	42	198
4	51	198
5	68	198
6	96	198
7	107	198
8	112	198
9	112	198