Details

analyze652.0ms (4.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
0%	0%	99.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample2.3s (14.6%)

Results

1.3s	8256×	body	256	valid
942.0ms	2539×	body	256	infinite

Bogosity

preprocess73.0ms (0.5%)

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)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
▶	11.4b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 50 to 33 computations (34% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`pow1_binary64`
865×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
849×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	163	10
2	2262	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)))))))

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)))))))

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
16×	`*-commutative_binary64`
15×	`associate-/r/_binary64`
14×	`associate-/l*_binary64`
11×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	288
1	33	288
2	50	288
3	62	288
4	84	225
5	124	225
6	152	225
7	174	225
8	174	225

Stop Event

1×

saturated

Counts

55 → 37

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)

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

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))
✓	0.0b	(.f64 (.f64 z 2) (-.f64 1 t))
✓	11.3b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

Compiler

Compiled 68 to 41 computations (39.7% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
322×	`prod-diff_binary64`
318×	`pow2_binary64`
233×	`fma-def_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	243	38
2	3389	38

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-neg_binary64`
794×	`fma-def_binary64`
470×	`times-frac_binary64`
363×	`div-sub_binary64`
356×	`associate-/l*_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	33	884
1	79	812
2	171	706
3	294	706
4	562	670
5	1231	652
6	2583	651
7	5321	651
8	7521	651

Stop Event

1×	node limit

Counts

216 → 167

Calls

Call 1

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

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

eval70.0ms (0.4%)

Compiler: Compiled 4369 to 2461 computations (43.7% saved)

prune41.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	195	9	204
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	197	9	206

Error

Counts

206 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	16.3b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
▶	0.6b	(+.f64 (/.f64 x y) (+.f64 -2 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)))
▶	28.4b	(+.f64 (/.f64 x y) -2)
▶	16.2b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
	13.1b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
	31.6b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (+.f64 2 (/.f64 2 z)) (sqrt.f64 t)))))
▶	31.4b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
	15.8b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 2 z) t)))
▶	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))

Compiler

Compiled 288 to 216 computations (25% saved)

localize23.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 60 to 42 computations (30% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log-prod_binary64`
348×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
256×	`prod-diff_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	203	10
2	2788	10

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
16×	`*-commutative_binary64`
15×	`associate-/r/_binary64`
14×	`associate-/l*_binary64`
11×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	225
1	33	225
2	50	225
3	62	225
4	84	225
5	124	225
6	152	225
7	174	225
8	174	225

Stop Event

1×

saturated

Counts

106 → 87

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)))

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

localize6.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 12 computations (58.6% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

21 → 21

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 38 to 23 computations (39.5% saved)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)
✓	0.6b	(cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)

Compiler

Compiled 75 to 54 computations (28% saved)

series21.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)
5.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)
3.0ms	z	@	inf	(cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))
2.0ms	t	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)
1.0ms	z	@	0	(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`log-prod_binary64`
345×	`exp-prod_binary64`
312×	`prod-exp_binary64`
269×	`pow-prod-down_binary64`
256×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	230	22
2	2743	22

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)
(cbrt.f64 (/.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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 2 (/.f64 2 z)) t))))) (#(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 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2)) (*.f64 (cbrt.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 (cbrt.f64 (pow.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 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1/6) (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 5/6))))) (#(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 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (+.f64 2 (/.f64 2 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (+.f64 2 (/.f64 2 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 5/6) (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2) 1) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (/.f64 2 z)) t)))) (#(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 (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 -2 (neg.f64 (/.f64 2 z))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 z -3) 8) (*.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 (pow.f64 z -2))) (*.f64 t (-.f64 2 (/.f64 2 z))))))) (#(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 (neg.f64 (+.f64 -2 (neg.f64 (/.f64 2 z)))) (neg.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8 (pow.f64 z -3) 8) 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 (pow.f64 z -2))) 1) (*.f64 (-.f64 2 (/.f64 2 z)) 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 (+.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 (fma.f64 8 (pow.f64 z -3) 8) (/.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 (pow.f64 z -2))) (/.f64 1 t)) (-.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2) (cbrt.f64 (+.f64 2 (/.f64 2 z)))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (/.f64 2 z)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (+.f64 2 (/.f64 2 z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 2 z))) 1) (log.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 2 (/.f64 2 z))) (*.f64 (log.f64 t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 2 z))) 1) (*.f64 (log.f64 t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 2 z))) 1) (neg.f64 (log.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1/3) (*.f64 2/3 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1) (*.f64 2/3 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 3/2) (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 3/2) (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 t)) (*.f64 (log.f64 (+.f64 2 (/.f64 2 z))) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (/.f64 1 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1/6) (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 t (+.f64 2 (/.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 t) (cbrt.f64 (+.f64 2 (/.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 -2 (neg.f64 (/.f64 2 z)))) (cbrt.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z)))) (neg.f64 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (+.f64 2 (/.f64 2 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 t) (cbrt.f64 (+.f64 2 (/.f64 2 z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1) 1))))))

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

983×	`times-frac_binary64`
662×	`associate-+l+_binary64`
480×	`associate-/r*_binary64`
428×	`associate-/l*_binary64`
377×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2269
1	645	1660
2	2416	1630

Stop Event

1×	node limit

Counts

135 → 141

Calls

Call 1

Inputs
(.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t)))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (/.f64 1 z)))) (+.f64 (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t))) (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (/.f64 1 z))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (/.f64 1 z)))) (+.f64 (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (/.f64 1 z)))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 17)) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (/.f64 1 (pow.f64 z 2))))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (/.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (.f64 -8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))))) (pow.f64 z 2))) (.f64 8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 17)) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (/.f64 1 (pow.f64 z 2))))))))))
(+.f64 (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (.f64 -8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3)))) (pow.f64 z 3))))) (+.f64 (.f64 -16/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 z 3))) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3)))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 17)) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (/.f64 1 (pow.f64 z 2))))) (+.f64 (.f64 8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 17)) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (/.f64 1 (pow.f64 z 2))))) (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (/.f64 1 z)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (/.f64 1 z)))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (/.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 t) 1/3) (/.f64 (+.f64 (.f64 8/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 -16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3))))) (cbrt.f64 2)))) (.f64 -8/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (pow.f64 t 2)))))) (pow.f64 z 3))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (/.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (.f64 -8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))))) (pow.f64 z 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3)))) (.f64 8/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (pow.f64 z 3)))))))))))))
(.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t)))
(+.f64 (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t))) (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3))) (.f64 -4/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3)))) z)))
(+.f64 (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 17)) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (/.f64 1 (pow.f64 z 2))))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (/.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (.f64 -8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))))) (pow.f64 z 2))) (+.f64 (.f64 8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 17)) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (/.f64 1 (pow.f64 z 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3))) (.f64 -4/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3)))) z))))))
(+.f64 (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 17)) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (/.f64 1 (pow.f64 z 2))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (.f64 (cbrt.f64 2) (+.f64 (.f64 8/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (pow.f64 t 2)))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 t) 1/3) (/.f64 (+.f64 (.f64 -8/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3))))) (cbrt.f64 2))))))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (.f64 -8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -8/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3))))))) (.f64 16/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3))))))) (pow.f64 z 3))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (/.f64 (.f64 (cbrt.f64 2) (+.f64 (.f64 4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (.f64 -8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))))) (pow.f64 z 2))) (+.f64 (.f64 8/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 17)) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3) (/.f64 1 (pow.f64 z 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3))) (.f64 -4/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3)))) z)))))))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 1 z)))) (.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 1 z)))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2)) (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 11)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 (pow.f64 z 2)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 1 z)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 t 2)) 1/3) (/.f64 (+.f64 (.f64 8/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 -16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3))))) (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 z 3))))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2)) (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 11)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 (pow.f64 z 2))))))))
(*.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 1 z)))) (.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 1 z)))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2)) (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 11)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 (pow.f64 z 2)))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 1 z)))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2)) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 11)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 (pow.f64 z 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 t 2)) 1/3) (/.f64 (+.f64 (.f64 -8/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3))))) (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 z 3))))))))

Outputs
(.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 1 t)))
(*.f64 2 (/.f64 1 t))
(/.f64 2 t)
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(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 1 z)))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2)) (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 11)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 (pow.f64 z 2)))))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18)) (.f64 (/.f64 1 z) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (fma.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 2) (.f64 -4/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18)) (.f64 (/.f64 1 (.f64 z z)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))))))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) z)) (fma.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 t)) (.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) (.f64 z z)) (.f64 (.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18)))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) z)) (fma.f64 -4/9 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) z) (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18)) z)) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 t)))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (/.f64 1 z)))) (+.f64 (.f64 (pow.f64 (/.f64 1 t) 1/3) (cbrt.f64 2)) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 t 11)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 (pow.f64 z 2))))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 t 2)) 1/3) (/.f64 (+.f64 (.f64 -8/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/3))))) (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 z 3))))))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18)) (.f64 (/.f64 1 z) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))) (fma.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 2) (fma.f64 -4/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18)) (.f64 (/.f64 1 (.f64 z z)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))))) (.f64 1/3 (.f64 (cbrt.f64 (.f64 t t)) (/.f64 (fma.f64 -8/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 t 7)))) (.f64 16/9 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 t 7)))))) (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 z 3))))))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) z)) (fma.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 t)) (fma.f64 (.f64 (.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) (.f64 z z)) (/.f64 (.f64 1/3 (.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 t 7))) (pow.f64 (cbrt.f64 2) 2)) 40/27) (cbrt.f64 (.f64 t t)))) (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 z 3))))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 7)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) z)) (fma.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 t)) (fma.f64 -4/9 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) z) (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 t 11)) 1/18)) z)) (.f64 (cbrt.f64 (.f64 t t)) (.f64 (.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 t 7))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (cbrt.f64 2) 2)) (/.f64 40/27 (pow.f64 z 3))) 1/3)))))

eval289.0ms (1.8%)

Compiler: Compiled 8340 to 6206 computations (25.6% saved)

prune91.0ms (0.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	316	7	323
Fresh	1	3	4
Picked	1	0	1
Done	0	4	4
Total	318	14	332

Error

Counts

332 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.8b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (.f64 4 (pow.f64 z -2))) (.f64 t (-.f64 2 (/.f64 2 z))))))
	31.6b	(+.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 t z))) 3))
▶	15.8b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 2 z) t)))
▶	31.4b	(+.f64 (/.f64 x y) (/.f64 (/.f64 2 z) t))
	16.2b	(+.f64 (/.f64 x y) (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z))))
	31.4b	(+.f64 (/.f64 x y) (*.f64 (/.f64 2 t) (/.f64 1 z)))
✓	28.4b	(+.f64 (/.f64 x y) -2)
✓	16.2b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
▶	16.3b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
	13.1b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
	31.6b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 (+.f64 2 (/.f64 2 z)) (sqrt.f64 t)) (sqrt.f64 t))))
✓	31.4b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))
✓	0.1b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))
▶	28.6b	(+.f64 (/.f64 x y) (/.f64 2 t))

Compiler

Compiled 382 to 284 computations (25.7% saved)

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (/.f64 2 z))
✓	0.0b	(*.f64 4 (pow.f64 z -2))
✓	0.1b	(*.f64 t (-.f64 2 (/.f64 2 z)))
✓	11.8b	(/.f64 (-.f64 4 (.f64 4 (pow.f64 z -2))) (.f64 t (-.f64 2 (/.f64 2 z))))

Compiler

Compiled 97 to 72 computations (25.8% saved)

series12.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(-.f64 2 (/.f64 2 z))
2.0ms	t	@	0	(/.f64 (-.f64 4 (.f64 4 (pow.f64 z -2))) (.f64 t (-.f64 2 (/.f64 2 z))))
1.0ms	z	@	0	(/.f64 (-.f64 4 (.f64 4 (pow.f64 z -2))) (.f64 t (-.f64 2 (/.f64 2 z))))
1.0ms	t	@	inf	(/.f64 (-.f64 4 (.f64 4 (pow.f64 z -2))) (.f64 t (-.f64 2 (/.f64 2 z))))
1.0ms	z	@	inf	(/.f64 (-.f64 4 (.f64 4 (pow.f64 z -2))) (.f64 t (-.f64 2 (/.f64 2 z))))

rewrite157.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log-prod_binary64`
411×	`prod-diff_binary64`
259×	`expm1-udef_binary64`
259×	`log1p-udef_binary64`
225×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	307	34
2	4294	34

Stop Event

1×	node limit

Counts

4 → 231

Calls

Call 1

Inputs
(/.f64 (-.f64 4 (.f64 4 (pow.f64 z -2))) (.f64 t (-.f64 2 (/.f64 2 z))))
(*.f64 t (-.f64 2 (/.f64 2 z)))
(*.f64 4 (pow.f64 z -2))
(-.f64 2 (/.f64 2 z))

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

855×	`div-sub_binary64`
772×	`fma-def_binary64`
609×	`times-frac_binary64`
597×	`associate-/r*_binary64`
539×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	774
1	74	774
2	151	774
3	365	774
4	1226	774
5	6663	774

Stop Event

1×	node limit

Counts

303 → 246

Calls

Call 1

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

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

localize8.0ms (0.1%)

Compiler: Compiled 21 to 11 computations (47.6% 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 29 to 15 computations (48.3% 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	z	@	inf	(/.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)

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify10.0ms (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))

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 39 to 23 computations (41% saved)

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.6b	(/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×

saturated

Counts

72 → 64

Calls

Call 1

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

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

eval667.0ms (4.2%)

Compiler: Compiled 13728 to 9954 computations (27.5% saved)

prune125.0ms (0.8%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	380	4	384
Fresh	2	3	5
Picked	0	1	1
Done	2	6	8
Total	384	14	398

Error

Counts

398 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	31.6b	(+.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) 3))
▶	10.8b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))))
✓	15.8b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 2 z) t)))
✓	31.4b	(+.f64 (/.f64 x y) (/.f64 (/.f64 2 z) t))
▶	16.2b	(+.f64 (/.f64 x y) (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z))))
▶	31.4b	(+.f64 (/.f64 x y) (*.f64 (/.f64 2 t) (/.f64 1 z)))
▶	15.8b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))))
✓	28.6b	(+.f64 (/.f64 x y) (/.f64 2 t))
✓	28.4b	(+.f64 (/.f64 x y) -2)
✓	16.2b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
✓	16.3b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
▶	13.1b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
	48.4b	(+.f64 (/.f64 x y) (*.f64 (/.f64 2 (sqrt.f64 t)) (/.f64 (/.f64 1 z) (sqrt.f64 t))))
✓	31.4b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))

Compiler

Compiled 339 to 251 computations (26% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 2 (/.f64 2 z))
	0.1b	(*.f64 t (-.f64 2 (/.f64 2 z)))
✓	0.6b	(/.f64 4 (*.f64 z z))
✓	11.8b	(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))

Compiler

Compiled 97 to 61 computations (37.1% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
0.0ms	t	@	-inf	(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
0.0ms	z	@	-inf	(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
0.0ms	z	@	inf	(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))
0.0ms	t	@	inf	(/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (-.f64 2 (/.f64 2 z))))

rewrite265.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
368×	`prod-diff_binary64`
293×	`log-div_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	287	17
2	4221	17

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

851×	`div-sub_binary64`
766×	`fma-def_binary64`
603×	`times-frac_binary64`
586×	`associate-/r*_binary64`
531×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	480
1	63	480
2	136	480
3	345	480
4	1197	480
5	6536	480

Stop Event

1×	node limit

Counts

199 → 170

Calls

Call 1

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

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

localize12.0ms (0.1%)

Compiler: Compiled 28 to 17 computations (39.3% saved)

localize39.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 2 t) (/.f64 1 z))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`pow1_binary64`
768×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
753×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	173	7
2	2181	7

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify14.0ms (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

72 → 48

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))

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize22.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))

Compiler

Compiled 54 to 32 computations (40.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`pow1_binary64`
774×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	194	7
2	2556	7

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify21.0ms (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

71 → 48

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))

eval408.0ms (2.6%)

Compiler: Compiled 14300 to 10348 computations (27.6% saved)

prune117.0ms (0.7%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	429	2	431
Fresh	1	1	2
Picked	0	1	1
Done	2	9	11
Total	432	13	445

Error

Counts

445 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.4b	(+.f64 (/.f64 x y) -2)
	31.4b	(+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z))
✓	15.8b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 2 z) t)))
✓	31.4b	(+.f64 (/.f64 x y) (/.f64 (/.f64 2 z) t))
✓	16.2b	(+.f64 (/.f64 x y) (*.f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z))))
✓	15.8b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (/.f64 -2 z) (/.f64 1 (neg.f64 t)))))
✓	28.6b	(+.f64 (/.f64 x y) (/.f64 2 t))
	31.6b	(+.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 z t))) 3))
✓	16.2b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t))
✓	16.3b	(+.f64 (/.f64 x y) (/.f64 (+.f64 (.f64 2 z) 2) (.f64 t z)))
✓	13.1b	(+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))
	34.7b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (-.f64 4 (/.f64 4 (.f64 z z))) (.f64 t (/.f64 -2 z)))))
✓	31.4b	(+.f64 (/.f64 x y) (/.f64 2 (*.f64 t z)))

Compiler

Compiled 193 to 142 computations (26.4% saved)

regimes149.0ms (0.9%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

8 calls:

39.0ms	z
24.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
18.0ms	y
13.0ms	t
13.0ms	x

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 404 to 249 computations (38.4% saved)

regimes363.0ms (2.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

5 calls:

85.0ms	t
82.0ms	y
80.0ms	x
73.0ms	z
37.0ms	(/.f64 x y)

Results

Error	Segments	Branch
7.5b	6	`x`
7.7b	6	`y`
0.6b	3	`z`
0.7b	3	`t`
7.7b	5	`(/.f64 x y)`

Compiler

Compiled 138 to 80 computations (42% saved)

bsearch145.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
95.0ms	0.276182892104151	0.8074838595233454
50.0ms	-670326972.0801347	-15713.64934387689

Compiler

Compiled 28 to 21 computations (25% saved)

regimes316.0ms (2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

106.0ms	y
75.0ms	x
66.0ms	z
32.0ms	t
31.0ms	(/.f64 x y)

Results

Error	Segments	Branch
10.5b	4	`x`
7.6b	7	`y`
5.7b	3	`z`
4.0b	3	`t`
8.8b	3	`(/.f64 x y)`

Compiler

Compiled 101 to 60 computations (40.6% saved)

bsearch131.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	3.910965576672543e+39	6.007601537684311e+48
83.0ms	-667.5808647849611	-42.70739855562328

Compiler

Compiled 28 to 21 computations (25% saved)

regimes160.0ms (1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

49.0ms	t
40.0ms	z
28.0ms	(/.f64 x y)
20.0ms	y
6.0ms	x

Results

Error	Segments	Branch
13.1b	1	`x`
11.5b	3	`y`
5.8b	3	`z`
9.9b	5	`t`
12.0b	3	`(/.f64 x y)`

Compiler

Compiled 90 to 54 computations (40% saved)

bsearch74.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	1.4363721972455625e-15	4.54154667933043e-9
29.0ms	-9.584613315431676e-39	-7.173279297601019e-43

Compiler

Compiled 28 to 21 computations (25% saved)

regimes320.0ms (2%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

5 calls:

205.0ms	t
42.0ms	y
27.0ms	x
19.0ms	z
12.0ms	(/.f64 x y)

Results

Error	Segments	Branch
21.6b	7	`x`
20.4b	8	`y`
14.1b	4	`z`
10.7b	5	`t`
22.6b	3	`(/.f64 x y)`

Compiler

Compiled 61 to 39 computations (36.1% saved)

bsearch315.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
51.0ms	3.910965576672543e+39	6.007601537684311e+48
38.0ms	7.589554350267228e-52	7.846153044278688e-45
189.0ms	-1.5189961994596668e-117	-5.777463043608236e-120
37.0ms	-6.509925310504709e+106	-1.4490438922635087e+102

Compiler

Compiled 236 to 173 computations (26.7% saved)

regimes5.9s (37.4%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

5 calls:

5.7s	x
95.0ms	y
45.0ms	z
17.0ms	t
10.0ms	(/.f64 x y)

Results

Error	Segments	Branch
21.6b	7	`x`
20.4b	8	`y`
14.2b	4	`z`
10.7b	5	`t`
22.6b	3	`(/.f64 x y)`

Compiler

Compiled 52 to 35 computations (32.7% saved)

bsearch216.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
26.0ms	3.910965576672543e+39	6.007601537684311e+48
27.0ms	7.589554350267228e-52	7.846153044278688e-45
115.0ms	-1.5189961994596668e-117	-5.777463043608236e-120
47.0ms	-6.509925310504709e+106	-1.4490438922635087e+102

Compiler

Compiled 236 to 173 computations (26.7% saved)

regimes101.0ms (0.6%)

Accuracy

Total -29.8b remaining (-217.8%)

Threshold costs -29.8b (-217.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

41.0ms	x
28.0ms	y
12.0ms	z
9.0ms	(/.f64 x y)
9.0ms	t

Results

Error	Segments	Branch
21.7b	7	`x`
22.7b	7	`y`
20.4b	4	`z`
13.7b	3	`t`
23.4b	3	`(/.f64 x y)`

Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch146.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
116.0ms	0.05773752545554722	3.6243698294570862e+22
29.0ms	-667.5808647849611	-42.70739855562328

Compiler

Compiled 28 to 21 computations (25% saved)

simplify243.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`unsub-neg_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	369
1	74	369
2	81	369
3	86	369
4	90	369
5	92	369
6	93	369

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 z -5623110200607195/8388608) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t))) (if (<=.f64 z 4975268679865441/18014398509481984) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 2 z) t))) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))))
(if (<=.f64 t -5872103386494579/8796093022208) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t))) (if (<=.f64 t 3910965576672542707795798348261043994624) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t)) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))))
(if (<=.f64 z -7344188583411433/766247770432944429179173513575154591809369561091801088) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t))) (if (<=.f64 z 910409038994739/633825300114114700748351602688) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 z) t)) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))))
(if (<=.f64 t -65099253105047089129708615257076053528297728476548282040539461870093391120337407287271635465569157188157440) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -8517641300339143/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 z) t)) (if (<=.f64 t 1278837378191535/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 3910965576672542707795798348261043994624) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -65099253105047089129708615257076053528297728476548282040539461870093391120337407287271635465569157188157440) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -8517641300339143/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (if (<=.f64 t 1278837378191535/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 3910965576672542707795798348261043994624) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -5872103386494579/8796093022208) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 260026698126897/4503599627370496) (+.f64 (/.f64 x y) (/.f64 2 t)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) -2)

Outputs
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
(if (<=.f64 z -5623110200607195/8388608) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t))) (if (<=.f64 z 4975268679865441/18014398509481984) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 2 z) t))) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))))
(if (<=.f64 z -5623110200607195/8388608) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t))) (if (<=.f64 z 4975268679865441/18014398509481984) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (/.f64 2 z) t))) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))))
(if (<=.f64 t -5872103386494579/8796093022208) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t))) (if (<=.f64 t 3910965576672542707795798348261043994624) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t)) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))))
(if (<=.f64 t -5872103386494579/8796093022208) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t))) (if (<=.f64 t 3910965576672542707795798348261043994624) (+.f64 (/.f64 x y) (/.f64 (+.f64 2 (/.f64 2 z)) t)) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))))
(if (<=.f64 z -7344188583411433/766247770432944429179173513575154591809369561091801088) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t))) (if (<=.f64 z 910409038994739/633825300114114700748351602688) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 z) t)) (+.f64 (/.f64 x y) (-.f64 -2 (/.f64 -2 t)))))
(if (<=.f64 z -7344188583411433/766247770432944429179173513575154591809369561091801088) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t))) (if (<=.f64 z 910409038994739/633825300114114700748351602688) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 z) t)) (+.f64 (/.f64 x y) (+.f64 -2 (/.f64 2 t)))))
(if (<=.f64 t -65099253105047089129708615257076053528297728476548282040539461870093391120337407287271635465569157188157440) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -8517641300339143/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 z) t)) (if (<=.f64 t 1278837378191535/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 3910965576672542707795798348261043994624) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -65099253105047089129708615257076053528297728476548282040539461870093391120337407287271635465569157188157440) (+.f64 (/.f64 x y) -2) (if (<=.f64 t -8517641300339143/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (if (<=.f64 t 1278837378191535/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 (/.f64 x y) (/.f64 2 t)) (if (<=.f64 t 3910965576672542707795798348261043994624) (+.f64 (/.f64 x y) (/.f64 (/.f64 2 t) z)) (+.f64 (/.f64 x y) -2)))))
(if (<=.f64 t -5872103386494579/8796093022208) (+.f64 (/.f64 x y) -2) (if (<=.f64 t 260026698126897/4503599627370496) (+.f64 (/.f64 x y) (/.f64 2 t)) (+.f64 (/.f64 x y) -2)))
(+.f64 (/.f64 x y) -2)

Compiler

Compiled 286 to 181 computations (36.7% saved)

soundness168.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 577 to 419 computations (27.4% saved)

end158.0ms (1%)

Compiler: Compiled 258 to 146 computations (43.4% saved)