Details

analyze328.0ms (3.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	85.8%	0.2%	11
21.4%	78.4%	0.2%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.9s (19.1%)

Results

1.5s	8256×	body	256	valid
381.0ms	2908×	body	256	invalid

preprocess57.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

739×	`fma-neg_binary64`
719×	`associate-/r*_binary64`
708×	`div-sub_binary64`
642×	`sub-neg_binary64`
624×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	91
1	96	91
2	214	91
3	364	91
4	781	91
5	1773	91
6	3983	91
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
3

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify213.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1491×	`fma-neg_binary64`
579×	`fma-def_binary64`
465×	`distribute-rgt-in_binary64`
416×	`div-sub_binary64`
329×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	21	13
2	45	13
3	74	13
4	155	13
5	299	13
6	611	13
7	1315	13
8	2687	13
9	5289	13
10	6017	13
11	6091	13
12	6103	13
13	6104	13
14	6104	13
15	7296	13
16	7464	13
17	7464	13
18	7464	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 22 to 14 computations (36.4% saved)

prune1.0ms (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
▶	0.3b	(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
▶	0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 12 computations (58.6% saved)

series9.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`prod-diff_binary64`
556×	`log-prod_binary64`
384×	`fma-def_binary64`
216×	`expm1-udef_binary64`
216×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	230	13
2	3335	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

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

Outputs

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

simplify231.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1393×	`fma-def_binary64`
572×	`fma-neg_binary64`
465×	`distribute-rgt-in_binary64`
360×	`unsub-neg_binary64`
327×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	696
1	92	696
2	186	696
3	323	579
4	556	579
5	943	579
6	1759	579
7	3066	579
8	4302	579
9	4860	579
10	5012	579
11	5025	579
12	5026	579
13	5741	579
14	6133	579
15	6301	579
16	6301	579
17	6301	579

Stop Event

1×

saturated

Counts

99 → 70

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 12 computations (58.6% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
439×	`fma-def_binary64`
327×	`pow2_binary64`
245×	`fma-neg_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	232	13
2	3634	13

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

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

Outputs

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

simplify230.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1393×	`fma-def_binary64`
572×	`fma-neg_binary64`
465×	`distribute-rgt-in_binary64`
360×	`unsub-neg_binary64`
327×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	696
1	92	696
2	186	696
3	323	579
4	556	579
5	943	579
6	1759	579
7	3066	579
8	4302	579
9	4860	579
10	5012	579
11	5025	579
12	5026	579
13	5741	579
14	6133	579
15	6301	579
16	6301	579
17	6301	579

Stop Event

1×

saturated

Counts

114 → 84

Calls

Call 1

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

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

eval39.0ms (0.4%)

Compiler: Compiled 2260 to 923 computations (59.2% saved)

prune41.0ms (0.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	142	12	154
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	144	12	156

Error

Counts

156 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	34.9b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 y z) 2)) (.f64 (*.f64 t 2) (+.f64 (-.f64 x y) z)))
▶	0.1b	(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
	0.2b	(/.f64 1 (/.f64 t (*.f64 (-.f64 (+.f64 x y) z) 1/2)))
▶	20.0b	(*.f64 1/2 (/.f64 (+.f64 y x) t))
▶	42.6b	(*.f64 z (/.f64 -1/2 t))
▶	20.8b	(*.f64 1/2 (/.f64 (-.f64 y z) t))
	23.0b	(*.f64 1/2 (/.f64 (-.f64 x z) t))
▶	42.5b	(*.f64 -1/2 (/.f64 z t))
	0.3b	(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 (-.f64 x z) t)))
	19.9b	(*.f64 (+.f64 y x) (/.f64 1/2 t))
	40.0b	(/.f64 (*.f64 1/2 y) t)
	42.2b	(*.f64 1/2 (/.f64 x t))

Compiler

Compiled 304 to 218 computations (28.3% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 43 to 17 computations (60.5% saved)

series18.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
2.0ms	t	@	0	(*.f64 z (/.f64 1/2 t))
1.0ms	x	@	0	(-.f64 (/.f64 (+.f64 x y) (+.f64 t t)) (*.f64 z (/.f64 1/2 t)))
1.0ms	z	@	0	(*.f64 z (/.f64 1/2 t))
1.0ms	z	@	inf	(*.f64 z (/.f64 1/2 t))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log-prod_binary64`
401×	`fma-def_binary64`
233×	`fma-neg_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	285	34
2	4647	34

Stop Event

1×	node limit

Counts

3 → 197

Calls

Call 1

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

Outputs

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simplify288.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1349×	`fma-def_binary64`
743×	`fma-neg_binary64`
517×	`cancel-sign-sub-inv_binary64`
426×	`distribute-rgt-in_binary64`
368×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	1446
1	102	1329
2	245	1329
3	521	1089
4	1343	1089
5	3355	1089
6	5679	1089
7	5990	1089
8	6034	1089
9	6036	1089
10	6037	1089
11	6773	1089
12	7165	1089
13	7333	1089
14	7333	1089
15	7333	1089
16	7333	1089

Stop Event

1×

saturated

Counts

305 → 217

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
(*.f64 1/2 (/.f64 z t))
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(*.f64 1/2 (/.f64 (+.f64 y x) t))
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localize6.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`pow1_binary64`
571×	`add-log-exp_binary64`
570×	`log1p-expm1-u_binary64`
570×	`expm1-log1p-u_binary64`
560×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1556	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

18 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`unpow-prod-down_binary64`
473×	`prod-diff_binary64`
443×	`log-prod_binary64`
259×	`pow-prod-down_binary64`
240×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	177	17
2	2478	17

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (+.f64 y x) t)) (*.f64 1/2 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 y x) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y x) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y x) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y x) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y x) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y x) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (*.f64 (cbrt.f64 (+.f64 y x)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 y x) t)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) t)) 2) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y x)) (*.f64 (sqrt.f64 (+.f64 y x)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y x) t)) (sqrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y x)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y x)) (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (pow.f64 (/.f64 1 (+.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (+.f64 y x) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (/.f64 (+.f64 y x) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (+.f64 y x) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y x)) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 t) -2) 1) (pow.f64 (/.f64 (+.f64 y x) (cbrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 t) 2)) 1) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 t) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 t -1/2) 1) (pow.f64 (/.f64 (+.f64 y x) (sqrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 t)) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 y x) t) 2) (+.f64 y x)) 1/3) (cbrt.f64 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) t) (cbrt.f64 (/.f64 (+.f64 y x) t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 y x) t) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))) 2) 3) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (+.f64 y x))) 2) -1) (cbrt.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 t) (+.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 t) 1) -1) (pow.f64 (/.f64 (sqrt.f64 t) (+.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) -2) -1) (pow.f64 (/.f64 t (cbrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 t) (cbrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 y x) -1/2) -1) (pow.f64 (/.f64 t (sqrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (+.f64 y x))) -1) (pow.f64 (/.f64 (cbrt.f64 t) (sqrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 y x))) -1) (pow.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 (+.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (+.f64 (pow.f64 y 3) (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (-.f64 x y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t (-.f64 (*.f64 y y) (*.f64 x x))) -1) (/.f64 1 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (+.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t (+.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y x) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 y x) t) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 y x) t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y x) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (+.f64 y x))) -1))))))

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
11×	`*-commutative_binary64`
6×	`associate-/l*_binary64`
4×	`associate-*l/_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	480
1	21	480
2	33	480
3	39	426
4	47	426
5	55	426
6	61	426
7	66	426
8	68	426
9	69	426

Stop Event

1×

saturated

Counts

148 → 110

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series9.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	t	@	0	(/.f64 (-.f64 y z) t)
1.0ms	t	@	inf	(/.f64 (-.f64 y z) t)
1.0ms	y	@	0	(/.f64 (-.f64 y z) t)
1.0ms	y	@	-inf	(/.f64 (-.f64 y z) t)
1.0ms	t	@	-inf	(/.f64 (-.f64 y z) t)

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`pow1_binary64`
835×	`add-log-exp_binary64`
835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	7
2	2130	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def_binary64`
172×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-in_binary64`
32×	`unsub-neg_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	9	246
1	14	210
2	24	210
3	34	210
4	47	210
5	71	210
6	119	210
7	173	210
8	249	210
9	381	210
10	637	156
11	922	156
12	983	156
13	1036	156

Stop Event

1×

saturated

Counts

57 → 38

Calls

Call 1

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

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

eval110.0ms (1.1%)

Compiler: Compiled 6346 to 3736 computations (41.1% saved)

prune83.0ms (0.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	379	7	386
Fresh	4	3	7
Picked	0	1	1
Done	2	2	4
Total	385	13	398

Error

Counts

398 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.6b	(*.f64 z (/.f64 -1/2 t))
✓	20.8b	(*.f64 1/2 (/.f64 (-.f64 y z) t))
▶	23.0b	(*.f64 1/2 (/.f64 (-.f64 x z) t))
✓	42.5b	(*.f64 -1/2 (/.f64 z t))
	40.1b	(*.f64 y (/.f64 1/2 t))
▶	20.8b	(*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))
	34.9b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 y z) 2)) (.f64 (*.f64 t 2) (+.f64 (-.f64 x y) z)))
▶	42.0b	(*.f64 x (/.f64 1/2 t))
	40.0b	(/.f64 (*.f64 1/2 y) t)
▶	19.9b	(/.f64 1/2 (/.f64 t (+.f64 y x)))
	23.0b	(-.f64 (.f64 1/2 (/.f64 x t)) (.f64 1/2 (/.f64 z t)))
▶	41.9b	(/.f64 (*.f64 1/2 x) t)
	20.0b	(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))

Compiler

Compiled 273 to 198 computations (27.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`prod-diff_binary64`
457×	`log-prod_binary64`
356×	`exp-prod_binary64`
272×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	184	17
2	2637	17

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

660×	`fma-neg_binary64`
494×	`associate-/r/_binary64`
463×	`associate-/l/_binary64`
421×	`distribute-neg-frac_binary64`
393×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	957
1	148	924
2	454	876
3	2192	834
4	6015	831

Stop Event

1×	node limit

Counts

158 → 116

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 x) t)
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 y t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 y t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 y t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 x) t)
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(*.f64 1/2 (/.f64 x t))
(/.f64 (*.f64 1/2 x) t)
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(+.f64 (.f64 1/2 (/.f64 y t)) (.f64 1/2 (/.f64 x t)))
(*.f64 1/2 (/.f64 (+.f64 y x) t))
(*.f64 (+.f64 y x) (/.f64 1/2 t))
(/.f64 t x)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (/.f64 t x))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (/.f64 t x))
(-.f64 (/.f64 t x) (.f64 (/.f64 y (.f64 x x)) t))
(-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x))))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (/.f64 t x)))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) t)) (+.f64 (/.f64 t x) (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) t))))
(+.f64 (-.f64 (/.f64 t x) (.f64 (/.f64 y (.f64 x x)) t)) (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x)))))
(.f64 (/.f64 t x) (-.f64 (+.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 t x) (.f64 (.f64 t (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) t)) (+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) t)) (+.f64 (/.f64 t x) (neg.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) t))))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) t) (-.f64 (/.f64 t x) (/.f64 t (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) (.f64 (/.f64 y (.f64 x x)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x)))) (*.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x)) (.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 t (*.f64 y (/.f64 t x)))))
(-.f64 (/.f64 t x) (fma.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 (/.f64 t (.f64 x x)) (-.f64 y (*.f64 y (/.f64 y x))))))
(/.f64 t y)
(+.f64 (/.f64 t y) (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (neg.f64 (/.f64 t (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y)))
(-.f64 (/.f64 t y) (.f64 x (/.f64 t (.f64 y y))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 t y))
(+.f64 (/.f64 t y) (+.f64 (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (fma.f64 -1 (/.f64 t (/.f64 (.f64 y y) x)) (/.f64 (.f64 t (*.f64 x x)) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 t y) (.f64 (/.f64 t y) (/.f64 x y))) (/.f64 t (/.f64 (pow.f64 y 3) (.f64 x x))))
(+.f64 (/.f64 t y) (.f64 (/.f64 t (.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)))
(+.f64 (/.f64 t y) (.f64 (.f64 x (/.f64 t (*.f64 y y))) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 t y) (.f64 (/.f64 x (.f64 y y)) (-.f64 (*.f64 x (/.f64 t y)) t)))
(+.f64 (/.f64 t y) (+.f64 (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(+.f64 (/.f64 t y) (+.f64 (fma.f64 -1 (/.f64 t (/.f64 (.f64 y y) x)) (/.f64 (.f64 t (*.f64 x x)) (pow.f64 y 3))) (neg.f64 (/.f64 t (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 t y) (.f64 (/.f64 t y) (/.f64 x y))) (-.f64 (/.f64 t (/.f64 (pow.f64 y 3) (.f64 x x))) (*.f64 (/.f64 t (pow.f64 y 4)) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 t (.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) t) (/.f64 t y)))
(+.f64 (/.f64 t y) (.f64 (/.f64 t (.f64 y y)) (-.f64 (-.f64 (.f64 (/.f64 x y) x) x) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(/.f64 t y)
(+.f64 (/.f64 t y) (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (neg.f64 (/.f64 t (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y)))
(-.f64 (/.f64 t y) (.f64 x (/.f64 t (.f64 y y))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 t y))
(+.f64 (/.f64 t y) (+.f64 (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (fma.f64 -1 (/.f64 t (/.f64 (.f64 y y) x)) (/.f64 (.f64 t (*.f64 x x)) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 t y) (.f64 (/.f64 t y) (/.f64 x y))) (/.f64 t (/.f64 (pow.f64 y 3) (.f64 x x))))
(+.f64 (/.f64 t y) (.f64 (/.f64 t (.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)))
(+.f64 (/.f64 t y) (.f64 (.f64 x (/.f64 t (*.f64 y y))) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 t y) (.f64 (/.f64 x (.f64 y y)) (-.f64 (*.f64 x (/.f64 t y)) t)))
(+.f64 (/.f64 t y) (+.f64 (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(+.f64 (/.f64 t y) (+.f64 (fma.f64 -1 (/.f64 t (/.f64 (.f64 y y) x)) (/.f64 (.f64 t (*.f64 x x)) (pow.f64 y 3))) (neg.f64 (/.f64 t (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 t y) (.f64 (/.f64 t y) (/.f64 x y))) (-.f64 (/.f64 t (/.f64 (pow.f64 y 3) (.f64 x x))) (*.f64 (/.f64 t (pow.f64 y 4)) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 t (.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) t) (/.f64 t y)))
(+.f64 (/.f64 t y) (.f64 (/.f64 t (.f64 y y)) (-.f64 (-.f64 (.f64 (/.f64 x y) x) x) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(/.f64 t y)
(+.f64 (/.f64 t y) (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))))
(+.f64 (/.f64 t y) (neg.f64 (/.f64 t (/.f64 (*.f64 y y) x))))
(-.f64 (/.f64 t y) (*.f64 (/.f64 t y) (/.f64 x y)))
(-.f64 (/.f64 t y) (.f64 x (/.f64 t (.f64 y y))))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) 1) (/.f64 t y))
(+.f64 (/.f64 t y) (+.f64 (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))) (/.f64 (*.f64 t (pow.f64 x 2)) (pow.f64 y 3))))
(+.f64 (/.f64 t y) (fma.f64 -1 (/.f64 t (/.f64 (.f64 y y) x)) (/.f64 (.f64 t (*.f64 x x)) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 t y) (.f64 (/.f64 t y) (/.f64 x y))) (/.f64 t (/.f64 (pow.f64 y 3) (.f64 x x))))
(+.f64 (/.f64 t y) (.f64 (/.f64 t (.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)))
(+.f64 (/.f64 t y) (.f64 (.f64 x (/.f64 t (*.f64 y y))) (+.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 t y) (.f64 (/.f64 x (.f64 y y)) (-.f64 (*.f64 x (/.f64 t y)) t)))
(+.f64 (/.f64 t y) (+.f64 (.f64 -1 (/.f64 (.f64 t x) (pow.f64 y 2))) (+.f64 (/.f64 (.f64 t (pow.f64 x 2)) (pow.f64 y 3)) (.f64 -1 (/.f64 (*.f64 t (pow.f64 x 3)) (pow.f64 y 4))))))
(+.f64 (/.f64 t y) (+.f64 (fma.f64 -1 (/.f64 t (/.f64 (.f64 y y) x)) (/.f64 (.f64 t (*.f64 x x)) (pow.f64 y 3))) (neg.f64 (/.f64 t (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 t y) (.f64 (/.f64 t y) (/.f64 x y))) (-.f64 (/.f64 t (/.f64 (pow.f64 y 3) (.f64 x x))) (*.f64 (/.f64 t (pow.f64 y 4)) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 t (.f64 y y)) (-.f64 (/.f64 x (/.f64 y x)) x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) t) (/.f64 t y)))
(+.f64 (/.f64 t y) (.f64 (/.f64 t (.f64 y y)) (-.f64 (-.f64 (.f64 (/.f64 x y) x) x) (/.f64 (pow.f64 x 3) (.f64 y y)))))
(/.f64 t x)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (/.f64 t x))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (/.f64 t x))
(-.f64 (/.f64 t x) (.f64 (/.f64 y (.f64 x x)) t))
(-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x))))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (/.f64 t x)))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) t)) (+.f64 (/.f64 t x) (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) t))))
(+.f64 (-.f64 (/.f64 t x) (.f64 (/.f64 y (.f64 x x)) t)) (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x)))))
(.f64 (/.f64 t x) (-.f64 (+.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 t x) (.f64 (.f64 t (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) t)) (+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) t)) (+.f64 (/.f64 t x) (neg.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) t))))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) t) (-.f64 (/.f64 t x) (/.f64 t (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) (.f64 (/.f64 y (.f64 x x)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x)))) (*.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x)) (.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 t (*.f64 y (/.f64 t x)))))
(-.f64 (/.f64 t x) (fma.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 (/.f64 t (.f64 x x)) (-.f64 y (*.f64 y (/.f64 y x))))))
(/.f64 t x)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (/.f64 t x))
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 x x) t)) (/.f64 t x))
(-.f64 (/.f64 t x) (.f64 (/.f64 y (.f64 x x)) t))
(-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x))))
(*.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (/.f64 t x)))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) t)) (+.f64 (/.f64 t x) (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) t))))
(+.f64 (-.f64 (/.f64 t x) (.f64 (/.f64 y (.f64 x x)) t)) (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x)))))
(.f64 (/.f64 t x) (-.f64 (+.f64 1 (.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)))
(+.f64 (/.f64 t x) (.f64 (.f64 t (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 y x))))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (pow.f64 x 2))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) t) (pow.f64 x 3)) (+.f64 (/.f64 t x) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 x 4))))))
(fma.f64 -1 (/.f64 y (/.f64 (.f64 x x) t)) (+.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) t)) (+.f64 (/.f64 t x) (neg.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) t))))))
(-.f64 (+.f64 (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) t) (-.f64 (/.f64 t x) (/.f64 t (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) (.f64 (/.f64 y (.f64 x x)) t))
(fma.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) t (-.f64 (-.f64 (/.f64 t x) (.f64 t (/.f64 y (.f64 x x)))) (*.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (.f64 (+.f64 (/.f64 (neg.f64 y) x) 1) (/.f64 t x)) (.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 t (*.f64 y (/.f64 t x)))))
(-.f64 (/.f64 t x) (fma.f64 t (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 (/.f64 t (.f64 x x)) (-.f64 y (*.f64 y (/.f64 y x))))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1/2 t))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1557	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))

localize12.0ms (0.1%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

18 calls:

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

rewrite128.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
475×	`log-prod_binary64`
369×	`exp-prod_binary64`
271×	`pow-prod-down_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	181	17
2	2621	17

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

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

simplify259.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-def_binary64`
455×	`fma-neg_binary64`
146×	`cancel-sign-sub-inv_binary64`
127×	`distribute-rgt-in_binary64`
103×	`associate-l_binary64`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	14	540
1	27	504
2	47	504
3	65	504
4	82	504
5	112	504
6	170	504
7	242	486
8	392	486
9	713	432
10	1381	378
11	2303	378
12	2645	378
13	2900	378
14	2904	378
15	2904	378

Stop Event

1×

saturated

Counts

265 → 227

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 10 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`log-prod_binary64`
352×	`exp-prod_binary64`
352×	`fma-def_binary64`
346×	`pow-prod-down_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	165	7
2	2731	7

Stop Event

1×	node limit

Counts

1 → 165

Calls

Call 1

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

Outputs

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

simplify181.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

164×	`fma-def_binary64`
117×	`fma-neg_binary64`
58×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-in_binary64`
35×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	390
1	42	240
2	92	240
3	207	240
4	410	240
5	745	240
6	894	240
7	920	240
8	951	240
9	956	240

Stop Event

1×

saturated

Counts

201 → 170

Calls

Call 1

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

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

eval193.0ms (1.9%)

Compiler: Compiled 11379 to 4776 computations (58% saved)

prune106.0ms (1%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	531	3	534
Fresh	2	3	5
Picked	0	1	1
Done	0	7	7
Total	533	14	547

Error

Counts

547 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.0b	(*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t)))
▶	40.1b	(/.f64 1/2 (/.f64 t y))
✓	42.6b	(*.f64 z (/.f64 -1/2 t))
✓	20.8b	(*.f64 1/2 (/.f64 (-.f64 y z) t))
✓	23.0b	(*.f64 1/2 (/.f64 (-.f64 x z) t))
✓	42.5b	(*.f64 -1/2 (/.f64 z t))
▶	40.1b	(*.f64 y (/.f64 1/2 t))
✓	20.8b	(*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))
✓	42.0b	(*.f64 x (/.f64 1/2 t))
▶	40.0b	(/.f64 (*.f64 1/2 y) t)
✓	19.9b	(/.f64 1/2 (/.f64 t (+.f64 y x)))
	42.2b	(/.f64 1/2 (+.f64 (/.f64 t x) (.f64 (.f64 t (/.f64 y (*.f64 x x))) (+.f64 -1 (/.f64 y x)))))
✓	41.9b	(/.f64 (*.f64 1/2 x) t)
▶	20.0b	(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))

Compiler

Compiled 234 to 169 computations (27.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 10 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 54

Calls

18 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
413×	`fma-def_binary64`
398×	`pow-prod-down_binary64`
287×	`pow2_binary64`
218×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	209	23
2	3266	23

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

341×	`fma-def_binary64`
250×	`fma-neg_binary64`
181×	`distribute-rgt-in_binary64`
146×	`distribute-lft-in_binary64`
135×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	540
1	50	540
2	112	540
3	202	450
4	538	450
5	1622	450
6	2457	450
7	2637	450
8	2694	450
9	2717	450
10	2717	450

Stop Event

1×

saturated

Counts

202 → 160

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (/.f64 1/2 t))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1557	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/2 (/.f64 t y))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
652×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
639×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1770	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 1/2 (/.f64 t y))

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))
(*.f64 1/2 (/.f64 y t))

localize6.0ms (0.1%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 10 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
384×	`pow-prod-down_binary64`
363×	`fma-def_binary64`
287×	`pow2_binary64`
212×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	206	17
2	3175	17

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs

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simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-def_binary64`
275×	`fma-neg_binary64`
161×	`distribute-rgt-in_binary64`
119×	`distribute-lft-in_binary64`
115×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	852
1	63	702
2	139	702
3	321	582
4	827	582
5	1956	582
6	2653	582
7	2737	582
8	2794	582
9	2817	582
10	2817	582

Stop Event

1×

saturated

Counts

268 → 208

Calls

Call 1

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

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

eval114.0ms (1.1%)

Compiler: Compiled 6295 to 2592 computations (58.8% saved)

prune77.0ms (0.8%)

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	414	1	415
Fresh	1	0	1
Picked	0	1	1
Done	0	12	12
Total	415	14	429

Error

Counts

429 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.0b	(*.f64 1/2 (-.f64 (/.f64 x t) (/.f64 z t)))
✓	40.1b	(/.f64 1/2 (/.f64 t y))
✓	42.6b	(*.f64 z (/.f64 -1/2 t))
✓	20.8b	(*.f64 1/2 (/.f64 (-.f64 y z) t))
✓	23.0b	(*.f64 1/2 (/.f64 (-.f64 x z) t))
✓	42.5b	(*.f64 -1/2 (/.f64 z t))
✓	20.0b	(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))
	38.3b	(.f64 1/2 (/.f64 (+.f64 t (.f64 (/.f64 t x) y)) (*.f64 (/.f64 t x) t)))
✓	40.1b	(*.f64 y (/.f64 1/2 t))
✓	20.8b	(*.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t)))
✓	42.0b	(*.f64 x (/.f64 1/2 t))
✓	40.0b	(/.f64 (*.f64 1/2 y) t)
✓	19.9b	(/.f64 1/2 (/.f64 t (+.f64 y x)))
✓	41.9b	(/.f64 (*.f64 1/2 x) t)

Compiler

Compiled 154 to 111 computations (27.9% saved)

regimes198.0ms (1.9%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

8 calls:

27.0ms	t
26.0ms	x
25.0ms	(-.f64 (+.f64 x y) z)
25.0ms	z
25.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))`
0.0b	1	`(-.f64 (+.f64 x y) z)`
0.0b	1	`(+.f64 x y)`
0.0b	1	`(*.f64 t 2)`

Compiler

Compiled 281 to 154 computations (45.2% saved)

regimes86.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	t
19.0ms	y
19.0ms	z
19.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`t`

Compiler

Compiled 135 to 76 computations (43.7% saved)

regimes366.0ms (3.6%)

Counts

16 → 4

Calls

Call 1

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

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

Calls

4 calls:

193.0ms	t
72.0ms	z
67.0ms	y
26.0ms	x

Results

Error	Segments	Branch
5.4b	3	`x`
5.1b	4	`y`
6.8b	3	`z`
14.1b	7	`t`

Compiler

Compiled 126 to 72 computations (42.9% saved)

bsearch59.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
18.0ms	1.3252655633997375e+94	1.7259675908199388e+96
20.0ms	0.09877579974271057	1.0122301539293028
19.0ms	4.991619386417165e-72	8.258781099415709e-72

Compiler

Compiled 20 to 15 computations (25% saved)

regimes253.0ms (2.5%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

4 calls:

85.0ms	t
63.0ms	z
62.0ms	y
39.0ms	x

Results

Error	Segments	Branch
5.4b	3	`x`
5.1b	4	`y`
6.8b	3	`z`
14.2b	7	`t`

Compiler

Compiled 108 to 65 computations (39.8% saved)

bsearch58.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	1.3252655633997375e+94	1.7259675908199388e+96
19.0ms	0.09877579974271057	1.0122301539293028
20.0ms	4.991619386417165e-72	8.258781099415709e-72

Compiler

Compiled 20 to 15 computations (25% saved)

regimes211.0ms (2.1%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	y
54.0ms	t
43.0ms	z
40.0ms	x

Results

Error	Segments	Branch
6.4b	4	`x`
9.2b	10	`y`
7.2b	5	`z`
15.4b	5	`t`

Compiler

Compiled 85 to 55 computations (35.3% saved)

bsearch115.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
38.0ms	-6.320118197212901e-52	-2.687111934043823e-53
38.0ms	-1.8032444676209992e+81	-6.173828012297551e+72
38.0ms	-1.8665695606155457e+113	-2.6090585378258365e+108

Compiler

Compiled 20 to 15 computations (25% saved)

regimes276.0ms (2.7%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

124.0ms	y
69.0ms	x
39.0ms	t
38.0ms	z

Results

Error	Segments	Branch
15.4b	5	`x`
13.5b	9	`y`
12.6b	3	`z`
18.6b	3	`t`

Compiler

Compiled 78 to 51 computations (34.6% saved)

bsearch305.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
126.0ms	1.3756188892960646e+161	1.8495867568286124e+165
179.0ms	-3.0770240955336312e+144	-4.435421558833133e+128

Compiler

Compiled 416 to 321 computations (22.8% saved)

regimes204.0ms (2%)

Counts

8 → 11

Calls

Call 1

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

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

Calls

4 calls:

71.0ms	y
51.0ms	z
42.0ms	t
37.0ms	x

Results

Error	Segments	Branch
21.0b	5	`x`
17.9b	11	`y`
23.9b	10	`z`
33.1b	7	`t`

Compiler

Compiled 64 to 44 computations (31.3% saved)

bsearch315.0ms (3.1%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
33.0ms	1.6180099264937618e-31	9.833558267699985e-26
34.0ms	6.300159433035089e-58	1.790046345455877e-50
33.0ms	8.258781099415709e-72	6.561846275279399e-71
34.0ms	1.148094167700041e-165	4.821046939766232e-164
38.0ms	2.9070302295466782e-204	1.3226739629776252e-202
37.0ms	2.721129696409804e-220	5.250431978539786e-220
36.0ms	2.380702399233408e-274	2.3789238125254726e-271
27.0ms	-8.472534343986813e-308	4.924847218687099e-303
21.0ms	-3.0487142073874627e-188	-3.163128252795713e-189
22.0ms	-5.929598755103772e-183	-3.3965772560719857e-183

Compiler

Compiled 20 to 15 computations (25% saved)

regimes329.0ms (3.2%)

Counts

6 → 11

Calls

Call 1

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

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

Calls

4 calls:

107.0ms	y
91.0ms	z
73.0ms	t
54.0ms	x

Results

Error	Segments	Branch
21.0b	5	`x`
17.9b	11	`y`
23.9b	10	`z`
33.1b	7	`t`

Compiler

Compiled 54 to 38 computations (29.6% saved)

bsearch250.0ms (2.5%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
19.0ms	1.6180099264937618e-31	9.833558267699985e-26
19.0ms	6.300159433035089e-58	1.790046345455877e-50
20.0ms	8.258781099415709e-72	6.561846275279399e-71
20.0ms	1.148094167700041e-165	4.821046939766232e-164
19.0ms	2.9070302295466782e-204	1.3226739629776252e-202
22.0ms	2.721129696409804e-220	5.250431978539786e-220
33.0ms	2.380702399233408e-274	2.3789238125254726e-271
33.0ms	-8.472534343986813e-308	4.924847218687099e-303
32.0ms	-3.0487142073874627e-188	-3.163128252795713e-189
32.0ms	-5.929598755103772e-183	-3.3965772560719857e-183

Compiler

Compiled 20 to 15 computations (25% saved)

regimes154.0ms (1.5%)

Counts

5 → 11

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	y
41.0ms	z
35.0ms	t
26.0ms	x

Results

Error	Segments	Branch
21.1b	5	`x`
18.0b	11	`y`
24.0b	10	`z`
33.1b	7	`t`

Compiler

Compiled 49 to 35 computations (28.6% saved)

bsearch386.0ms (3.8%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
20.0ms	1.6180099264937618e-31	9.833558267699985e-26
22.0ms	6.300159433035089e-58	1.790046345455877e-50
20.0ms	8.258781099415709e-72	6.561846275279399e-71
20.0ms	1.148094167700041e-165	4.821046939766232e-164
139.0ms	2.9070302295466782e-204	1.3226739629776252e-202
19.0ms	2.721129696409804e-220	5.250431978539786e-220
20.0ms	2.380702399233408e-274	2.3789238125254726e-271
85.0ms	-8.472534343986813e-308	4.924847218687099e-303
22.0ms	-3.0487142073874627e-188	-3.163128252795713e-189
19.0ms	-5.929598755103772e-183	-3.3965772560719857e-183

Compiler

Compiled 20 to 15 computations (25% saved)

regimes103.0ms (1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	z
28.0ms	t
13.0ms	x
12.0ms	y

Results

Error	Segments	Branch
26.6b	2	`x`
26.0b	2	`y`
34.2b	6	`z`
34.9b	6	`t`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	8.258781099415709e-72	6.561846275279399e-71

Compiler

Compiled 20 to 15 computations (25% saved)

regimes111.0ms (1.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	t
25.0ms	z
11.0ms	y
11.0ms	x

Results

Error	Segments	Branch
26.7b	2	`x`
26.1b	2	`y`
34.2b	6	`z`
34.9b	6	`t`

Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	8.258781099415709e-72	6.561846275279399e-71

Compiler

Compiled 20 to 15 computations (25% saved)

regimes22.0ms (0.2%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 y (/.f64 1/2 t))

Calls

4 calls:

9.0ms	t
4.0ms	x
4.0ms	z
3.0ms	y

Results

Error	Segments	Branch
40.1b	1	`x`
40.1b	1	`y`
40.1b	1	`z`
40.1b	1	`t`

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	704
1	140	704
2	151	704
3	155	704
4	157	704

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
(if (<=.f64 y 1241224154089409/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 7117546478631905/72057594037927936) (.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))) (if (<=.f64 y 13252655633997374881397598253233130439165358087101778230446459190912880126192912397157489704960) (.f64 1/2 (/.f64 (+.f64 y x) t)) (.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))))
(if (<=.f64 y 1241224154089409/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 7117546478631905/72057594037927936) (.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 13252655633997374881397598253233130439165358087101778230446459190912880126192912397157489704960) (.f64 1/2 (/.f64 (+.f64 y x) t)) (.f64 1/2 (/.f64 (-.f64 y z) t)))))
(if (<=.f64 x -186656956061554571796910043130277317267112076163939094787039746391908693043500201413879262585314723546427098660864) (.f64 1/2 (/.f64 (+.f64 y x) t)) (if (<=.f64 x -1803244467620999223581813455284085327820839894480537719513007638112781427131023360) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -8519502476347403/13479973333575319897333507543509815336818572211270286240551805124608) (/.f64 1/2 (/.f64 t (+.f64 y x))) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))
(if (<=.f64 z -2999999999999999897944441193402387348575087274543315097643077755022176340471087929290701146796648442389637525892796717140429554421947005409427456) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 z 1799999999999999900916573410703819619349967540222951562022563561016556379907363911112662536741037489695593761467472697276379658642317096184128290239627609136793911296) (/.f64 1/2 (/.f64 t (+.f64 y x))) (.f64 -1/2 (/.f64 z t))))
(if (<=.f64 y -7091897553777447/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y -2389647223925499/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 y -8574300212232539/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 4640138489644585/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 6921589694747371/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 8209493946626573/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 2382017311706393/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 4452567280757559/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 1/2 (/.f64 t y)) (if (<=.f64 y 1847440747490849/11417981541647679048466287755595961091061972992) (.f64 z (/.f64 -1/2 t)) (/.f64 (.f64 1/2 y) t)))))))))))
(if (<=.f64 y -7091897553777447/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y -2389647223925499/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 y -8574300212232539/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 4640138489644585/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 6921589694747371/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 8209493946626573/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 2382017311706393/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 y 4452567280757559/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 1/2 (/.f64 t y)) (if (<=.f64 y 1847440747490849/11417981541647679048466287755595961091061972992) (.f64 z (/.f64 -1/2 t)) (.f64 y (/.f64 1/2 t))))))))))))
(if (<=.f64 y -7091897553777447/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y -2389647223925499/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 y -8574300212232539/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 4640138489644585/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 6921589694747371/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 8209493946626573/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 2382017311706393/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 4452567280757559/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 1/2 (/.f64 t y)) (if (<=.f64 y 1847440747490849/11417981541647679048466287755595961091061972992) (.f64 z (/.f64 -1/2 t)) (.f64 y (/.f64 1/2 t))))))))))))
(if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (/.f64 (*.f64 1/2 x) t) (/.f64 1/2 (/.f64 t y)))
(if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 x (/.f64 1/2 t)) (/.f64 1/2 (/.f64 t y)))
(*.f64 y (/.f64 1/2 t))
(/.f64 1/2 (/.f64 t y))

Outputs
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
(if (<=.f64 y 1241224154089409/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 7117546478631905/72057594037927936) (.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))) (if (<=.f64 y 13252655633997374881397598253233130439165358087101778230446459190912880126192912397157489704960) (.f64 1/2 (/.f64 (+.f64 y x) t)) (.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))))
(if (<=.f64 y 1241224154089409/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 7117546478631905/72057594037927936) (.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))) (if (<=.f64 y 13252655633997374881397598253233130439165358087101778230446459190912880126192912397157489704960) (.f64 1/2 (/.f64 (+.f64 x y) t)) (.f64 1/2 (-.f64 (/.f64 y t) (/.f64 z t))))))
(if (<=.f64 y 1241224154089409/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 7117546478631905/72057594037927936) (.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 13252655633997374881397598253233130439165358087101778230446459190912880126192912397157489704960) (.f64 1/2 (/.f64 (+.f64 y x) t)) (.f64 1/2 (/.f64 (-.f64 y z) t)))))
(if (<=.f64 y 1241224154089409/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (.f64 1/2 (/.f64 (-.f64 x z) t)) (if (<=.f64 y 7117546478631905/72057594037927936) (.f64 1/2 (/.f64 (-.f64 y z) t)) (if (<=.f64 y 13252655633997374881397598253233130439165358087101778230446459190912880126192912397157489704960) (.f64 1/2 (/.f64 (+.f64 x y) t)) (.f64 1/2 (/.f64 (-.f64 y z) t)))))
(if (<=.f64 x -186656956061554571796910043130277317267112076163939094787039746391908693043500201413879262585314723546427098660864) (.f64 1/2 (/.f64 (+.f64 y x) t)) (if (<=.f64 x -1803244467620999223581813455284085327820839894480537719513007638112781427131023360) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -8519502476347403/13479973333575319897333507543509815336818572211270286240551805124608) (/.f64 1/2 (/.f64 t (+.f64 y x))) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))
(if (<=.f64 x -186656956061554571796910043130277317267112076163939094787039746391908693043500201413879262585314723546427098660864) (.f64 1/2 (/.f64 (+.f64 x y) t)) (if (<=.f64 x -1803244467620999223581813455284085327820839894480537719513007638112781427131023360) (.f64 (/.f64 z t) -1/2) (if (<=.f64 x -8519502476347403/13479973333575319897333507543509815336818572211270286240551805124608) (/.f64 1/2 (/.f64 t (+.f64 x y))) (*.f64 1/2 (/.f64 (-.f64 y z) t)))))
(if (<=.f64 z -2999999999999999897944441193402387348575087274543315097643077755022176340471087929290701146796648442389637525892796717140429554421947005409427456) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 z 1799999999999999900916573410703819619349967540222951562022563561016556379907363911112662536741037489695593761467472697276379658642317096184128290239627609136793911296) (/.f64 1/2 (/.f64 t (+.f64 y x))) (.f64 -1/2 (/.f64 z t))))
(if (<=.f64 z -2999999999999999897944441193402387348575087274543315097643077755022176340471087929290701146796648442389637525892796717140429554421947005409427456) (.f64 (/.f64 z t) -1/2) (if (<=.f64 z 1799999999999999900916573410703819619349967540222951562022563561016556379907363911112662536741037489695593761467472697276379658642317096184128290239627609136793911296) (/.f64 1/2 (/.f64 t (+.f64 x y))) (.f64 (/.f64 z t) -1/2)))
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(if (<=.f64 y -7091897553777447/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (/.f64 (.f64 x 1/2) t) (if (<=.f64 y -2389647223925499/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (.f64 (/.f64 z t) -1/2) (if (<=.f64 y -8574300212232539/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (.f64 x 1/2) t) (if (<=.f64 y 4640138489644585/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 (/.f64 z t) -1/2) (if (<=.f64 y 6921589694747371/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (/.f64 (.f64 x 1/2) t) (if (<=.f64 y 8209493946626573/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 (/.f64 z t) -1/2) (if (<=.f64 y 2382017311706393/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (.f64 x 1/2) t) (if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 (/.f64 z t) -1/2) (if (<=.f64 y 4452567280757559/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 1/2 (/.f64 t y)) (if (<=.f64 y 1847440747490849/11417981541647679048466287755595961091061972992) (.f64 z (/.f64 -1/2 t)) (/.f64 (.f64 y 1/2) t)))))))))))
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(if (<=.f64 y -7091897553777447/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (/.f64 (.f64 x 1/2) t) (if (<=.f64 y -2389647223925499/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (.f64 (/.f64 z t) -1/2) (if (<=.f64 y -8574300212232539/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (.f64 x 1/2) t) (if (<=.f64 y 4640138489644585/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 (/.f64 z t) -1/2) (if (<=.f64 y 6921589694747371/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (/.f64 (.f64 x 1/2) t) (if (<=.f64 y 8209493946626573/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 (/.f64 z t) -1/2) (if (<=.f64 y 2382017311706393/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (.f64 x 1/2) t) (if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 (/.f64 z t) -1/2) (if (<=.f64 y 4452567280757559/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 1/2 (/.f64 t y)) (if (<=.f64 y 1847440747490849/11417981541647679048466287755595961091061972992) (.f64 z (/.f64 -1/2 t)) (.f64 y (/.f64 1/2 t))))))))))))
(if (<=.f64 y -7091897553777447/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y -2389647223925499/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 y -8574300212232539/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 4640138489644585/19490628022799998160706764775750376621752453715190015053735812914425897381532852204931230131764020518450609832462817336366918339730406188093155974592625306839062555399912946059741579310980107296705599186958436757747371195850789749891492727230937931225655477606208555094163657179983828221952) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 6921589694747371/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 8209493946626573/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 2382017311706393/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (/.f64 (.f64 1/2 x) t) (if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 y 4452567280757559/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 1/2 (/.f64 t y)) (if (<=.f64 y 1847440747490849/11417981541647679048466287755595961091061972992) (.f64 z (/.f64 -1/2 t)) (.f64 y (/.f64 1/2 t))))))))))))
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(if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (/.f64 (*.f64 1/2 x) t) (/.f64 1/2 (/.f64 t y)))
(if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (/.f64 (*.f64 x 1/2) t) (/.f64 1/2 (/.f64 t y)))
(if (<=.f64 y 8214567490322793/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 x (/.f64 1/2 t)) (/.f64 1/2 (/.f64 t y)))
(*.f64 y (/.f64 1/2 t))
(/.f64 1/2 (/.f64 t y))

Compiler

Compiled 540 to 354 computations (34.4% saved)

soundness0.0ms (0%)

end281.0ms (2.8%)

Remove: (sort x y)
Compiler: Compiled 518 to 303 computations (41.5% saved)

Iter	Nodes	Cost
0	11	480
1	21	480
2	33	480
3	39	426
4	47	426
5	55	426
6	61	426
7	66	426
8	68	426
9	69	426

Iter	Nodes	Cost
0	16	390
1	42	240
2	92	240
3	207	240
4	410	240
5	745	240
6	894	240
7	920	240
8	951	240
9	956	240

Iter	Nodes	Cost
0	11	480
1	21	480
2	33	480
3	39	426
4	47	426
5	55	426
6	61	426
7	66	426
8	68	426
9	69	426

Iter	Nodes	Cost
0	16	390
1	42	240
2	92	240
3	207	240
4	410	240
5	745	240
6	894	240
7	920	240
8	951	240
9	956	240

Iter	Nodes	Cost
0	11	480
1	21	480
2	33	480
3	39	426
4	47	426
5	55	426
6	61	426
7	66	426
8	68	426
9	69	426

Iter	Nodes	Cost
0	16	390
1	42	240
2	92	240
3	207	240
4	410	240
5	745	240
6	894	240
7	920	240
8	951	240
9	956	240