Details

analyze1.1s (7.5%)

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)

sample2.6s (17.9%)

Results

2.0s	8256×	body	256	valid
603.0ms	2522×	body	256	invalid

preprocess105.0ms (0.7%)

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)

simplify115.0ms (0.8%)

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)

prune3.0ms (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
▶	8.9b	(+.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)

localize75.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series27.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Expression
15.0ms	z	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
2.0ms	x	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
1.0ms	t	@	(/.f64 (+.f64 2 (/.f64 2 z)) t)
1.0ms	t	@	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
1.0ms	z	@	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite120.0ms (0.8%)

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	29
1	308	29
2	4598	29

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (+.f64 2 (/.f64 2 z)) (sqrt.f64 t)) (+.f64 (/.f64 x y) -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)) (+.f64 (/.f64 x y) -2))))))

simplify217.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1150×	`fma-neg_binary64`
460×	`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	31	1200
1	73	1200
2	123	1200
3	182	1200
4	276	1017
5	524	1017
6	1021	1017
7	2226	1017
8	3191	1017
9	3683	1017
10	3894	1017
11	3939	1017
12	3949	1017
13	3955	1017
14	4382	1017
15	4382	1017

Stop Event

1×

saturated

Counts

204 → 148

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

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

localize26.0ms (0.2%)

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)))
✓	8.8b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

Compiler

Compiled 68 to 41 computations (39.7% saved)

series17.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	t	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
2.0ms	z	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
1.0ms	z	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
1.0ms	z	@	0	(/.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))

rewrite111.0ms (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
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 z t) (fma.f64 z (.f64 2 (-.f64 1 t)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (/.f64 x y) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)))) (/.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) 2) (-.f64 (/.f64 x y) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) (.f64 z t)) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 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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)))))))

simplify185.0ms (1.3%)

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

eval189.0ms (1.3%)

Compiler: Compiled 8226 to 4982 computations (39.4% saved)

prune134.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	342	15	357
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	344	15	359

Error

Counts

359 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	19.4b	(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
	26.5b	(-.f64 (/.f64 x y) 2)
	24.2b	(/.f64 (fma.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) y (.f64 (.f64 z t) x)) (.f64 (*.f64 z t) y))
▶	30.9b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
	1.5b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))) 3)
▶	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1)))
	17.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
	19.4b	(-.f64 (+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z)))) 2)
▶	43.2b	(/.f64 x y)
	22.3b	(+.f64 (/.f64 x y) (+.f64 -2 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 3))))
	35.0b	(/.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)))))
	0.2b	(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
	12.8b	(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
▶	19.4b	(+.f64 (/.f64 x y) (.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t) (/.f64 1 z)))

Compiler

Compiled 524 to 390 computations (25.6% saved)

localize51.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 64 to 45 computations (29.7% saved)

series16.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/.f64 t (+.f64 2 (/.f64 2 z)))
1.0ms	t	@	0	(pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1)
1.0ms	t	@	-inf	(pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1)
1.0ms	x	@	0	(+.f64 (/.f64 x y) (+.f64 -2 (pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1)))
1.0ms	z	@	0	(pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1)

rewrite408.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log-prod_binary64`
518×	`fma-def_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
294×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	349	39
2	5018	39

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

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

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 (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 (+.f64 2 (/.f64 2 z)) t)) (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1) (pow.f64 (/.f64 1 (+.f64 2 (/.f64 2 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (+.f64 2 (/.f64 2 z)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 t (+.f64 2 (/.f64 2 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 2 (/.f64 2 z)))) -1) (pow.f64 (sqrt.f64 (/.f64 t (+.f64 2 (/.f64 2 z)))) -1))))) (#(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)) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 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 *.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (sqrt.f64 t)) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (sqrt.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 1 (neg.f64 t)) (+.f64 -2 (neg.f64 (/.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 -1 (neg.f64 (/.f64 t (+.f64 2 (/.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.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 -2 (neg.f64 (/.f64 2 z))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (/.f64 8 (pow.f64 z 3))) (*.f64 t (fma.f64 (/.f64 2 z) (-.f64 (/.f64 2 z) 2) 4)))))) (#(struct:change 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simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-def_binary64`
585×	`times-frac_binary64`
580×	`distribute-rgt-out_binary64`
505×	`associate-/r*_binary64`
439×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	1503
1	158	1503
2	368	1478
3	1012	1459
4	3656	1364

Stop Event

1×	node limit

Counts

280 → 219

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 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(/.f64 t (+.f64 2 (*.f64 2 (/.f64 1 z))))
(.f64 1/2 (.f64 t z))
(+.f64 (.f64 1/2 (.f64 t z)) (.f64 -1/2 (.f64 t (pow.f64 z 2))))
(+.f64 (.f64 1/2 (.f64 t z)) (+.f64 (.f64 -1/2 (.f64 t (pow.f64 z 2))) (.f64 1/2 (.f64 t (pow.f64 z 3)))))
(+.f64 (.f64 -1/2 (.f64 t (pow.f64 z 4))) (+.f64 (.f64 1/2 (.f64 t z)) (+.f64 (.f64 -1/2 (.f64 t (pow.f64 z 2))) (.f64 1/2 (.f64 t (pow.f64 z 3))))))
(*.f64 1/2 t)
(+.f64 (.f64 1/2 t) (.f64 -1/2 (/.f64 t z)))
(+.f64 (.f64 1/2 t) (+.f64 (.f64 1/2 (/.f64 t (pow.f64 z 2))) (*.f64 -1/2 (/.f64 t z))))
(+.f64 (.f64 -1/2 (/.f64 t (pow.f64 z 3))) (+.f64 (.f64 1/2 t) (+.f64 (.f64 1/2 (/.f64 t (pow.f64 z 2))) (.f64 -1/2 (/.f64 t z)))))
(*.f64 1/2 t)
(+.f64 (.f64 1/2 t) (.f64 -1/2 (/.f64 t z)))
(+.f64 (.f64 1/2 t) (+.f64 (.f64 1/2 (/.f64 t (pow.f64 z 2))) (*.f64 -1/2 (/.f64 t z))))
(+.f64 (.f64 -1/2 (/.f64 t (pow.f64 z 3))) (+.f64 (.f64 1/2 t) (+.f64 (.f64 1/2 (/.f64 t (pow.f64 z 2))) (.f64 -1/2 (/.f64 t z)))))
(-.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)
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(-.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)

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

localize15.0ms (0.1%)

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

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)))
✓	1.1b	(/.f64 2 (*.f64 t z))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

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

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 2 t) z))))))

simplify39.0ms (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

168 → 125

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite160.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	348	29
2	5133	29

Stop Event

1×	node limit

Counts

2 → 170

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)))))

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

simplify281.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1149×	`fma-neg_binary64`
459×	`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	31	1134
1	73	1134
2	123	1134
3	182	1134
4	276	1017
5	524	1017
6	1021	1017
7	2222	1017
8	3187	1017
9	3671	1017
10	3888	1017
11	3933	1017
12	3943	1017
13	3949	1017
14	4376	1017
15	4376	1017

Stop Event

1×

saturated

Counts

242 → 186

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)

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

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (*.f64 2 (-.f64 1 t)) 2)
✓	0.0b	(+.f64 (/.f64 x y) (.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t) (/.f64 1 z)))
✓	8.2b	(/.f64 (fma.f64 z (*.f64 2 (-.f64 1 t)) 2) t)
✓	10.1b	(.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t) (/.f64 1 z))

Compiler

Compiled 74 to 49 computations (33.8% saved)

series25.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

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

rewrite215.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`log-prod_binary64`
469×	`fma-def_binary64`
300×	`log-div_binary64`
300×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	337	65
2	5023	65

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 t (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 z (/.f64 t (fma.f64 (.f64 z 2) (-.f64 1 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 z t) (fma.f64 (.f64 z 2) (-.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (/.f64 z (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (/.f64 (.f64 z t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (/.f64 t (pow.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 z -1) (/.f64 t (fma.f64 (.f64 z 2) (-.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) 2)) (/.f64 z (cbrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)) (/.f64 z (sqrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (/.f64 t (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (neg.f64 z) (/.f64 t (fma.f64 (.f64 z 2) (-.f64 1 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (neg.f64 (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (.f64 (neg.f64 z) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (.f64 z (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) (cbrt.f64 (.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) z) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) z) (cbrt.f64 (.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) z) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (pow.f64 z -1)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 z -1) (neg.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (*.f64 z t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (.f64 (/.f64 1 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) 2)) (cbrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t) 2)) (.f64 (cbrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) 2)) (.f64 (cbrt.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)) (sqrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)) (.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (.f64 (sqrt.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) (fma.f64 (.f64 z 2) (-.f64 1 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) 1) (/.f64 (sqrt.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 t t))) (/.f64 (fma.f64 (.f64 z 2) (-.f64 1 t) 2) (cbrt.f64 t)))))) (#(struct:change #<rule 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simplify189.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

951×	`fma-def_binary64`
823×	`fma-neg_binary64`
348×	`div-sub_binary64`
338×	`associate-/r*_binary64`
316×	`unsub-neg_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	56	1927
1	141	1887
2	294	1798
3	494	1722
4	1016	1515
5	2705	1515
6	5879	1513

Stop Event

1×	node limit

Counts

342 → 264

Calls

Call 1

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

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

eval459.0ms (3.1%)

Compiler: Compiled 16951 to 10630 computations (37.3% saved)

prune257.0ms (1.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	785	9	794
Fresh	8	2	10
Picked	1	0	1
Done	2	2	4
Total	796	13	809

Error

Counts

809 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	27.5b	(+.f64 (/.f64 x y) (.f64 (/.f64 (+.f64 (.f64 2 z) 2) t) (/.f64 1 z)))
	40.5b	(/.f64 (+.f64 y (.f64 (.f64 (.f64 t z) 1/2) x)) (.f64 (.f64 (.f64 t z) 1/2) y))
	30.9b	(+.f64 (/.f64 x y) (+.f64 0 (/.f64 (/.f64 2 t) z)))
	19.4b	(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
	39.7b	(/.f64 (fma.f64 x z (.f64 y (/.f64 2 t))) (.f64 y z))
▶	17.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
▶	12.8b	(-.f64 (/.f64 2 t) (-.f64 2 (/.f64 x y)))
▶	0.2b	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
✓	30.9b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
▶	26.5b	(-.f64 (/.f64 x y) 2)
▶	50.1b	(/.f64 (/.f64 2 z) t)
	50.1b	(/.f64 2 (*.f64 t z))
✓	43.2b	(/.f64 x y)

Compiler

Compiled 338 to 246 computations (27.2% saved)

localize34.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series10.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite109.0ms (0.7%)

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))))))

simplify283.0ms (1.9%)

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

localize43.0ms (0.3%)

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

localize11.0ms (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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (0.5%)

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))))))))

simplify19.0ms (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))

localize22.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite123.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`prod-diff_binary64`
533×	`log-prod_binary64`
317×	`fma-def_binary64`
301×	`pow2_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	216	13
2	3234	13

Stop Event

1×	node limit

Counts

1 → 179

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.5%)

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

215 → 187

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
✓	8.4b	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series21.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	t	@	0	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
1.0ms	t	@	inf	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
1.0ms	z	@	-inf	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))
1.0ms	z	@	inf	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
1.0ms	t	@	-inf	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`log-prod_binary64`
519×	`fma-def_binary64`
313×	`fma-neg_binary64`
275×	`log-div_binary64`
265×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	278	28
2	4369	28

Stop Event

1×	node limit

Counts

2 → 145

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-def_binary64`
17×	`*-commutative_binary64`
15×	`associate-/r/_binary64`
14×	`associate-/l*_binary64`
11×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	915
1	53	915
2	79	915
3	94	915
4	118	768
5	167	768
6	203	768
7	232	768
8	233	768

Stop Event

1×

saturated

Counts

205 → 158

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

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

eval174.0ms (1.2%)

Compiler: Compiled 9905 to 5911 computations (40.3% saved)

prune88.0ms (0.6%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	460	8	468
Fresh	2	4	6
Picked	0	1	1
Done	2	4	6
Total	464	17	481

Error

Counts

481 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	27.5b	(+.f64 (/.f64 x y) (.f64 (/.f64 (+.f64 (.f64 2 z) 2) t) (/.f64 1 z)))
	40.5b	(/.f64 (+.f64 y (.f64 (.f64 (.f64 t z) 1/2) x)) (.f64 (.f64 (.f64 t z) 1/2) y))
	30.9b	(+.f64 (/.f64 x y) (+.f64 0 (/.f64 (/.f64 2 t) z)))
▶	12.9b	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 2 t) -2))
✓	26.5b	(-.f64 (/.f64 x y) 2)
	29.6b	(+.f64 (/.f64 x y) (/.f64 2 t))
✓	43.2b	(/.f64 x y)
	39.7b	(/.f64 (fma.f64 x z (.f64 y (/.f64 2 t))) (.f64 y z))
	50.2b	(*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))
✓	17.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
	32.1b	(+.f64 (/.f64 2 t) -2)
▶	19.4b	(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
✓	30.9b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
✓	50.1b	(/.f64 (/.f64 2 z) t)
▶	49.0b	(/.f64 2 t)
▶	36.4b	(/.f64 (+.f64 2 (/.f64 2 z)) t)
▶	50.1b	(/.f64 2 (*.f64 t z))

Compiler

Compiled 369 to 276 computations (25.2% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 22 computations (29% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`log-prod_binary64`
372×	`exp-prod_binary64`
287×	`pow2_binary64`
264×	`pow-prod-down_binary64`
205×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	235	13
2	2815	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	402
1	26	402
2	35	402
3	40	402
4	48	402
5	69	402
6	126	402
7	272	402
8	499	402
9	720	402
10	959	402
11	1174	402
12	1184	402
13	1199	402
14	1204	402

Stop Event

1×

saturated

Counts

74 → 46

Calls

Call 1

Inputs
(/.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 (*.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 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 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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 t)))
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 t)))
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 t)))
(-.f64 (*.f64 2 (/.f64 1 t)) 2)
(+.f64 (/.f64 2 t) -2)
(-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 t)))
(/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 t)))
(/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 t)))
(/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 t)))
(-.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 t)))
(-.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.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 x y) (-.f64 -2 (/.f64 -2 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
	1.1b	(/.f64 2 (*.f64 t z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 23 computations (25.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
867×	`add-log-exp_binary64`
867×	`log1p-expm1-u_binary64`
867×	`expm1-log1p-u_binary64`
851×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	163	10
2	2265	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

385×	`fma-def_binary64`
315×	`fma-neg_binary64`
107×	`cancel-sign-sub-inv_binary64`
101×	`associate-/r/_binary64`
98×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	330
1	47	288
2	106	288
3	208	225
4	416	225
5	794	225
6	1444	225
7	2050	225
8	2426	225

Stop Event

1×

saturated

Counts

55 → 36

Calls

Call 1

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

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

eval44.0ms (0.3%)

Compiler: Compiled 1910 to 1414 computations (26% saved)

prune31.0ms (0.2%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	145	5	150
Fresh	3	4	7
Picked	1	0	1
Done	0	9	9
Total	149	18	167

Error

Counts

167 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	27.5b	(+.f64 (/.f64 x y) (.f64 (/.f64 (+.f64 (.f64 2 z) 2) t) (/.f64 1 z)))
	40.5b	(/.f64 (+.f64 y (.f64 (.f64 (.f64 t z) 1/2) x)) (.f64 (.f64 (.f64 t z) 1/2) y))
✓	12.9b	(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 2 t) -2))
✓	26.5b	(-.f64 (/.f64 x y) 2)
	50.1b	(+.f64 0 (/.f64 (/.f64 2 t) z))
✓	49.0b	(/.f64 2 t)
	29.6b	(+.f64 (/.f64 x y) (/.f64 2 t))
✓	43.2b	(/.f64 x y)
	39.7b	(/.f64 (fma.f64 x z (.f64 y (/.f64 2 t))) (.f64 y z))
✓	17.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
✓	30.9b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
✓	50.1b	(/.f64 (/.f64 2 z) t)
✓	36.4b	(/.f64 (+.f64 2 (/.f64 2 z)) t)
	32.1b	(-.f64 -2 (/.f64 -2 t))
✓	50.1b	(/.f64 2 (*.f64 t z))
	33.4b	(-.f64 -2 (/.f64 -2 (*.f64 t z)))
	36.4b	(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
	36.4b	(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))

Compiler

Compiled 224 to 169 computations (24.6% saved)

regimes368.0ms (2.5%)

Counts

39 → 1

Calls

Call 1

Inputs
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(+.f64 0 (/.f64 (/.f64 2 t) z))
(-.f64 -2 (/.f64 -2 (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
(-.f64 (/.f64 2 t) (-.f64 2 (/.f64 x y)))
(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 x y) (+.f64 0 (/.f64 (/.f64 2 t) z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(+.f64 (/.f64 x y) (.f64 (/.f64 (+.f64 (.f64 2 z) 2) t) (/.f64 1 z)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 t)) (.f64 2 (/.f64 1 (*.f64 t z)))) 2)
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
(/.f64 (+.f64 y (.f64 (.f64 (.f64 t z) 1/2) x)) (.f64 (.f64 (.f64 t z) 1/2) y))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 2 t) -2))
(/.f64 (fma.f64 x z (.f64 y (/.f64 2 t))) (.f64 y z))
(fma.f64 (/.f64 1 y) x (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 x y) (+.f64 -2 (pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1)))
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 (/.f64 x y) (.f64 (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t) (/.f64 1 z)))
(/.f64 (+.f64 z (.f64 (/.f64 y x) (/.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) t))) (*.f64 (/.f64 y x) z))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 (/.f64 x y) -2))) 3)
(+.f64 (/.f64 x y) (+.f64 -2 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 3))))
(/.f64 (fma.f64 (fma.f64 z (.f64 2 (-.f64 1 t)) 2) y (.f64 (.f64 z t) x)) (.f64 (*.f64 z t) y))

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

Calls

8 calls:

173.0ms	y
71.0ms	x
22.0ms	z
19.0ms	t
19.0ms	(/.f64 x 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 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 506 to 323 computations (36.2% saved)

regimes503.0ms (3.4%)

Counts

23 → 3

Calls

Call 1

Inputs
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(+.f64 0 (/.f64 (/.f64 2 t) z))
(-.f64 -2 (/.f64 -2 (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
(-.f64 (/.f64 2 t) (-.f64 2 (/.f64 x y)))
(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 x y) (+.f64 0 (/.f64 (/.f64 2 t) z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))

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

Calls

5 calls:

202.0ms	y
98.0ms	x
90.0ms	t
70.0ms	(/.f64 x y)
33.0ms	z

Results

Error	Segments	Branch
5.4b	4	`x`
6.5b	4	`y`
4.9b	3	`z`
5.1b	3	`t`
0.2b	3	`(/.f64 x y)`

Compiler

Compiled 199 to 126 computations (36.7% saved)

bsearch91.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
46.0ms	8.044543930730885e-15	4.5884512374987415e-14
45.0ms	-1168910850498.222	-90325.26026890587

Compiler

Compiled 28 to 21 computations (25% saved)

regimes626.0ms (4.3%)

Counts

22 → 3

Calls

Call 1

Inputs
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(+.f64 0 (/.f64 (/.f64 2 t) z))
(-.f64 -2 (/.f64 -2 (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
(-.f64 (/.f64 2 t) (-.f64 2 (/.f64 x y)))
(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))
(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
(+.f64 (/.f64 x y) (+.f64 (/.f64 2 t) -2))
(+.f64 (/.f64 x y) (+.f64 0 (/.f64 (/.f64 2 t) z)))
(+.f64 (.f64 2 (/.f64 1 (.f64 t z))) (*.f64 2 (/.f64 1 t)))

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

Calls

5 calls:

173.0ms	t
138.0ms	y
106.0ms	x
100.0ms	z
95.0ms	(/.f64 x y)

Results

Error	Segments	Branch
6.7b	3	`x`
7.7b	3	`y`
4.9b	3	`z`
8.6b	5	`t`
3.4b	3	`(/.f64 x y)`

Compiler

Compiled 186 to 120 computations (35.5% saved)

bsearch158.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	0.01415147627440804	0.3407338132646785
76.0ms	-1.826648482449921e-15	-3.935335887676689e-18

Compiler

Compiled 28 to 21 computations (25% saved)

regimes591.0ms (4%)

Counts

16 → 3

Calls

Call 1

Inputs
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(+.f64 0 (/.f64 (/.f64 2 t) z))
(-.f64 -2 (/.f64 -2 (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))
(-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t))

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

Calls

5 calls:

157.0ms	x
154.0ms	z
116.0ms	y
87.0ms	t
68.0ms	(/.f64 x y)

Results

Error	Segments	Branch
9.4b	6	`x`
11.6b	5	`y`
12.2b	8	`z`
8.6b	5	`t`
3.4b	3	`(/.f64 x y)`

Compiler

Compiled 126 to 85 computations (32.5% saved)

bsearch113.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	0.01415147627440804	0.3407338132646785
70.0ms	-1168910850498.222	-90325.26026890587

Compiler

Compiled 28 to 21 computations (25% saved)

regimes629.0ms (4.3%)

Counts

15 → 5

Calls

Call 1

Inputs
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(+.f64 0 (/.f64 (/.f64 2 t) z))
(-.f64 -2 (/.f64 -2 (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 2 t))
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))
(*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))

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

Calls

5 calls:

224.0ms	z
146.0ms	t
129.0ms	(/.f64 x y)
51.0ms	x
42.0ms	y

Results

Error	Segments	Branch
15.4b	6	`x`
17.2b	5	`y`
12.2b	8	`z`
9.6b	5	`t`
11.2b	4	`(/.f64 x y)`

Compiler

Compiled 117 to 78 computations (33.3% saved)

bsearch442.0ms (3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
66.0ms	8.406323118373682e-22	5.992682999222925e-14
277.0ms	9.858793393636904e-98	1.7126958183781077e-94
70.0ms	1.049860864698835e-122	7.794507887494226e-122
29.0ms	-268582.841076873	-59611.889337679684

Compiler

Compiled 364 to 287 computations (21.2% saved)

regimes420.0ms (2.9%)

Counts

12 → 5

Calls

Call 1

Inputs
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(+.f64 0 (/.f64 (/.f64 2 t) z))
(-.f64 -2 (/.f64 -2 (*.f64 t z)))
(+.f64 (/.f64 x y) (/.f64 2 t))

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

Calls

5 calls:

140.0ms	z
107.0ms	t
90.0ms	(/.f64 x y)
40.0ms	x
36.0ms	y

Results

Error	Segments	Branch
15.4b	6	`x`
17.2b	5	`y`
12.2b	8	`z`
10.4b	5	`t`
11.2b	5	`(/.f64 x y)`

Compiler

Compiled 93 to 60 computations (35.5% saved)

bsearch108.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	4.070362620659169e+83	2.171655987198086e+86
26.0ms	0.0008227368820204887	1.3915933075712048
26.0ms	-9.831754152487704e-54	-3.3733615075003662e-59
27.0ms	-268582.841076873	-59611.889337679684

Compiler

Compiled 28 to 21 computations (25% saved)

regimes152.0ms (1%)

Counts

11 → 5

Calls

Call 1

Inputs
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(+.f64 0 (/.f64 (/.f64 2 t) z))
(-.f64 -2 (/.f64 -2 (*.f64 t z)))

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

Calls

5 calls:

37.0ms	z
36.0ms	t
28.0ms	(/.f64 x y)
24.0ms	x
24.0ms	y

Results

Error	Segments	Branch
18.5b	4	`x`
20.7b	3	`y`
14.6b	6	`z`
14.8b	6	`t`
13.8b	5	`(/.f64 x y)`

Compiler

Compiled 86 to 57 computations (33.7% saved)

bsearch99.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	1846905856050382300.0	1.6288150241905187e+32
26.0ms	1.6553491821072694e-170	4.361229475850575e-165
24.0ms	-2.700554558700592e-71	-6.224664207283391e-73
24.0ms	-1168910850498.222	-90325.26026890587

Compiler

Compiled 28 to 21 computations (25% saved)

regimes181.0ms (1.2%)

Counts

10 → 6

Calls

Call 1

Inputs
(/.f64 2 t)
(/.f64 x y)
(-.f64 -2 (/.f64 -2 t))
(+.f64 (/.f64 2 t) -2)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(/.f64 (/.f64 2 z) t)
(/.f64 2 (*.f64 t z))
(-.f64 (/.f64 x y) 2)
(+.f64 0 (/.f64 (/.f64 2 t) z))

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

Calls

5 calls:

65.0ms	t
40.0ms	z
39.0ms	x
17.0ms	y
17.0ms	(/.f64 x y)

Results

Error	Segments	Branch
21.0b	3	`x`
22.6b	3	`y`
17.1b	6	`z`
14.8b	6	`t`
16.1b	3	`(/.f64 x y)`

Compiler

Compiled 79 to 53 computations (32.9% saved)

bsearch367.0ms (2.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
28.0ms	8.406323118373682e-22	5.992682999222925e-14
157.0ms	9.858793393636904e-98	1.7126958183781077e-94
121.0ms	1.0547873850515538e-150	9.794979778057313e-127
26.0ms	-9.831754152487704e-54	-3.3733615075003662e-59
33.0ms	-268582.841076873	-59611.889337679684

Compiler

Compiled 408 to 336 computations (17.6% saved)

regimes115.0ms (0.8%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

34.0ms	t
25.0ms	y
25.0ms	z
17.0ms	x
12.0ms	(/.f64 x y)

Results

Error	Segments	Branch
24.3b	3	`x`
26.0b	5	`y`
21.6b	6	`z`
27.2b	7	`t`
16.2b	3	`(/.f64 x y)`

Compiler

Compiled 52 to 39 computations (25% saved)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1846905856050382300.0	1.6288150241905187e+32
24.0ms	-1168910850498.222	-90325.26026890587

Compiler

Compiled 28 to 21 computations (25% saved)

regimes60.0ms (0.4%)

Accuracy

Total -29.2b remaining (-88.4%)

Threshold costs -29.2b (-88.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	x
13.0ms	t
13.0ms	z
11.0ms	(/.f64 x y)
9.0ms	y

Results

Error	Segments	Branch
37.9b	3	`x`
39.3b	3	`y`
38.6b	4	`z`
33.9b	3	`t`
33.1b	3	`(/.f64 x y)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1846905856050382300.0	1.6288150241905187e+32
25.0ms	-1168910850498.222	-90325.26026890587

Compiler

Compiled 28 to 21 computations (25% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`
12×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	539
1	109	539
2	136	539
3	171	539
4	214	539
5	238	539
6	246	539
7	247	539

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) -4787858843640717/4096) (+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))) (if (<=.f64 (/.f64 x y) 5098835471176683/633825300114114700748351602688) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) (+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))))
(if (<=.f64 (/.f64 x y) -4631104090367253/2535301200456458802993406410752) (-.f64 (/.f64 2 t) (-.f64 2 (/.f64 x y))) (if (<=.f64 (/.f64 x y) 8157770659349307/576460752303423488) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) (+.f64 (/.f64 x y) (/.f64 2 t))))
(if (<=.f64 (/.f64 x y) -4787858843640717/4096) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 (/.f64 x y) 8157770659349307/576460752303423488) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) (+.f64 (/.f64 x y) (/.f64 2 t))))
(if (<=.f64 t -1153554518691935/4294967296) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 7814969963626365/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (/.f64 (+.f64 2 (/.f64 2 z)) t) (if (<=.f64 t 3194017912572413/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 8939136024445003/10633823966279326983230456482242756608) (/.f64 (+.f64 2 (/.f64 2 z)) t) (-.f64 (/.f64 x y) 2)))))
(if (<=.f64 t -1153554518691935/4294967296) (-.f64 (/.f64 x y) 2) (if (<=.f64 t -8482034163059371/862718293348820473429344482784628181556388621521298319395315527974912) (-.f64 -2 (/.f64 -2 (.f64 t z))) (if (<=.f64 t 3794204175658431/4611686018427387904) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 407036262065916926371854969424209320394747804532019980843911826639989227544738004992) (-.f64 -2 (/.f64 -2 (.f64 t z))) (-.f64 (/.f64 x y) 2)))))
(if (<=.f64 (/.f64 x y) -4787858843640717/4096) (-.f64 (/.f64 x y) 2) (if (<=.f64 (/.f64 x y) -1678810666542727/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 -2 (/.f64 -2 t)) (if (<=.f64 (/.f64 x y) 9003200942032201/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (-.f64 -2 (/.f64 -2 (*.f64 t z))) (if (<=.f64 (/.f64 x y) 1846905856050382336) (-.f64 -2 (/.f64 -2 t)) (/.f64 x y)))))
(if (<=.f64 t -1153554518691935/4294967296) (-.f64 (/.f64 x y) 2) (if (<=.f64 t -8482034163059371/862718293348820473429344482784628181556388621521298319395315527974912) (/.f64 2 (.f64 t z)) (if (<=.f64 t 5853278531842485/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (-.f64 -2 (/.f64 -2 t)) (if (<=.f64 t 3194017912572413/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (-.f64 (/.f64 x y) 2) (if (<=.f64 t 8939136024445003/10633823966279326983230456482242756608) (/.f64 2 (.f64 t z)) (-.f64 (/.f64 x y) 2))))))
(if (<=.f64 (/.f64 x y) -4787858843640717/4096) (/.f64 x y) (if (<=.f64 (/.f64 x y) 1846905856050382336) (-.f64 -2 (/.f64 -2 t)) (/.f64 x y)))
(if (<=.f64 (/.f64 x y) -4787858843640717/4096) (/.f64 x y) (if (<=.f64 (/.f64 x y) 1846905856050382336) (/.f64 2 t) (/.f64 x y)))
(/.f64 2 t)

Outputs
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(if (<=.f64 (/.f64 x y) -4787858843640717/4096) (+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))) (if (<=.f64 (/.f64 x y) 5098835471176683/633825300114114700748351602688) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) (+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))))
(if (<=.f64 (/.f64 x y) -4787858843640717/4096) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 2 z)) (.f64 z t))) (if (<=.f64 (/.f64 x y) 5098835471176683/633825300114114700748351602688) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 2 z)) (.f64 z t)))))
(if (<=.f64 (/.f64 x y) -4787858843640717/4096) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 2 z)) (.f64 z t))) (if (<=.f64 (/.f64 x y) 5098835471176683/633825300114114700748351602688) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 2 z)) (.f64 z t)))))
(if (<=.f64 (/.f64 x y) -4631104090367253/2535301200456458802993406410752) (-.f64 (/.f64 2 t) (-.f64 2 (/.f64 x y))) (if (<=.f64 (/.f64 x y) 8157770659349307/576460752303423488) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) (+.f64 (/.f64 x y) (/.f64 2 t))))
(if (<=.f64 (/.f64 x y) -4631104090367253/2535301200456458802993406410752) (+.f64 (/.f64 2 t) (+.f64 (/.f64 x y) -2)) (if (<=.f64 (/.f64 x y) 8157770659349307/576460752303423488) (-.f64 -2 (/.f64 (+.f64 -2 (/.f64 -2 z)) t)) (+.f64 (/.f64 x y) (/.f64 2 t))))
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(if (<=.f64 (/.f64 x y) -4787858843640717/4096) (/.f64 x y) (if (<=.f64 (/.f64 x y) 1846905856050382336) (/.f64 2 t) (/.f64 x y)))
(/.f64 2 t)

Compiler

Compiled 416 to 262 computations (37% saved)

soundness174.0ms (1.2%)

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)

end270.0ms (1.8%)

Compiler: Compiled 376 to 210 computations (44.1% saved)

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

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

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