Details

analyze334.0ms (3.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
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 (22.8%)

Results

1.4s	8256×	body	256	valid
477.0ms	2944×	body	256	invalid

preprocess88.0ms (1%)

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)

simplify237.0ms (2.8%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.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)

localize11.0ms (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)

series10.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite63.0ms (0.7%)

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))))))

simplify235.0ms (2.8%)

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))
(*.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))
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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)))
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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 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))

localize11.0ms (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	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	z	@	-inf	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite60.0ms (0.7%)

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))))))))

simplify239.0ms (2.8%)

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))

eval36.0ms (0.4%)

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

prune36.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	143	11	154
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	144	12	156

Error

Counts

156 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.8b	(*.f64 z (/.f64 -1/2 t))
▶	19.3b	(*.f64 1/2 (/.f64 (-.f64 y z) t))
	39.7b	(/.f64 (*.f64 1/2 y) t)
	0.3b	(/.f64 1 (/.f64 t (*.f64 (-.f64 (+.f64 x y) z) 1/2)))
▶	20.9b	(*.f64 1/2 (/.f64 (+.f64 y x) t))
	21.9b	(*.f64 1/2 (/.f64 (-.f64 x z) t))
▶	40.8b	(*.f64 -1/2 (/.f64 z t))
	42.2b	(*.f64 1/2 (/.f64 x t))
✓	0.3b	(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
	22.0b	(/.f64 1/2 (/.f64 t (-.f64 x z)))
▶	0.0b	(+.f64 (.f64 1/2 (/.f64 (-.f64 y z) t)) (.f64 1/2 (/.f64 x t)))
	19.5b	(*.f64 (-.f64 y z) (/.f64 1/2 t))

Compiler

Compiled 259 to 191 computations (26.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 17 computations (62.2% saved)

series20.0ms (0.2%)

Counts

4 → 87

Calls

36 calls:

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

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log-prod_binary64`
596×	`fma-def_binary64`
322×	`fma-neg_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	279	40
2	4287	40

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

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

simplify247.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1103×	`fma-neg_binary64`
869×	`fma-def_binary64`
408×	`distribute-rgt-in_binary64`
353×	`distribute-lft-in_binary64`
328×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	1147
1	77	1057
2	168	1057
3	327	844
4	761	840
5	2074	840
6	4502	840
7	5100	840
8	5194	840
9	5201	840
10	5202	840
11	5202	840
12	6419	840
13	6587	840
14	6587	840
15	6587	840

Stop Event

1×

saturated

Counts

256 → 190

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)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 x t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z 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 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z 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 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z 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 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(+.f64 (.f64 -1/2 (/.f64 z t)) (+.f64 (.f64 1/2 (/.f64 y t)) (*.f64 1/2 (/.f64 x t))))
(/.f64 (+.f64 (.f64 1/2 (-.f64 y z)) (.f64 1/2 x)) t)
(/.f64 (+.f64 (.f64 1/2 (-.f64 y z)) (.f64 1/2 x)) t)
(/.f64 (+.f64 (.f64 1/2 (-.f64 y z)) (.f64 1/2 x)) t)
(/.f64 (+.f64 (.f64 1/2 (-.f64 y z)) (.f64 1/2 x)) t)
(/.f64 (+.f64 (.f64 1/2 (-.f64 y z)) (.f64 1/2 x)) t)
(/.f64 (+.f64 (.f64 1/2 (-.f64 y z)) (.f64 1/2 x)) t)
(/.f64 (+.f64 (.f64 1/2 (-.f64 y z)) (.f64 1/2 x)) t)
(/.f64 (+.f64 (.f64 1/2 (-.f64 y z)) (.f64 1/2 x)) t)
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 x) (*.f64 -1/2 (-.f64 y z))) t))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 x) (*.f64 -1/2 (-.f64 y z))) t))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 x) (*.f64 -1/2 (-.f64 y z))) t))
(.f64 -1 (/.f64 (+.f64 (.f64 -1/2 x) (*.f64 -1/2 (-.f64 y z))) t))
(*.f64 1/2 (/.f64 (-.f64 y z) t))
(*.f64 1/2 (/.f64 x t))
(*.f64 1/2 (/.f64 x t))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(*.f64 1/2 (/.f64 y t))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(*.f64 -1/2 (/.f64 z t))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y t)))
(+.f64 (.f64 -1/2 (/.f64 z t)) (.f64 1/2 (/.f64 y 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 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y 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 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 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y 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 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 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y 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 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 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y 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 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 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y 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 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 z) t)
(+.f64 (/.f64 y t) (*.f64 -1 (/.f64 z t)))
(+.f64 (neg.f64 (/.f64 z t)) (/.f64 y t))
(/.f64 (-.f64 y z) t)
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localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series6.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize7.0ms (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
0.0ms	z	@	0	(*.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))
0.0ms	t	@	-inf	(*.f64 z (/.f64 -1/2 t))
0.0ms	z	@	inf	(*.f64 z (/.f64 -1/2 t))

rewrite52.0ms (0.6%)

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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
754×	`add-log-exp_binary64`
754×	`log1p-expm1-u_binary64`
754×	`expm1-log1p-u_binary64`
737×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1985	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	204
1	8	204

Stop Event

1×

saturated

Counts

55 → 35

Calls

Call 1

Inputs
(/.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 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 2 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

eval238.0ms (2.8%)

Compiler: Compiled 5139 to 2292 computations (55.4% saved)

prune70.0ms (0.8%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	342	5	347
Fresh	2	4	6
Picked	0	1	1
Done	1	4	5
Total	345	14	359

Error

Counts

359 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	39.8b	(*.f64 y (/.f64 1/2 t))
	20.9b	(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))
✓	40.8b	(*.f64 z (/.f64 -1/2 t))
✓	19.3b	(*.f64 1/2 (/.f64 (-.f64 y z) t))
▶	39.7b	(/.f64 (*.f64 1/2 y) t)
▶	42.2b	(*.f64 1/2 (/.f64 x t))
	22.0b	(/.f64 1/2 (/.f64 t (-.f64 x z)))
▶	0.3b	(/.f64 1 (/.f64 t (*.f64 (-.f64 (+.f64 x y) z) 1/2)))
✓	20.9b	(*.f64 1/2 (/.f64 (+.f64 y x) t))
▶	19.5b	(*.f64 (-.f64 y z) (/.f64 1/2 t))
	21.9b	(*.f64 1/2 (/.f64 (-.f64 x z) t))
✓	40.8b	(*.f64 -1/2 (/.f64 z t))
✓	0.3b	(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
▶	19.5b	(/.f64 1/2 (/.f64 t (-.f64 y z)))

Compiler

Compiled 251 to 185 computations (26.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 t (*.f64 (-.f64 (+.f64 x y) z) 1/2))
✓	0.3b	(/.f64 1 (/.f64 t (*.f64 (-.f64 (+.f64 x y) z) 1/2)))

Compiler

Compiled 45 to 18 computations (60% saved)

series16.0ms (0.2%)

Counts

2 → 96

Calls

24 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log-prod_binary64`
432×	`fma-def_binary64`
358×	`pow2_binary64`
246×	`pow1/3_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	270	26
2	3952	26

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

727×	`associate-/l*_binary64`
653×	`fma-def_binary64`
513×	`associate-/r*_binary64`
363×	`associate-r_binary64`
325×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	2019
1	493	2013
2	1643	1923
3	7173	1923

Stop Event

1×	node limit

Counts

194 → 167

Calls

Call 1

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 x t))

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize16.0ms (0.2%)

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

localize102.0ms (1.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 11 computations (47.6% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite113.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`unpow-prod-down_binary64`
429×	`log-prod_binary64`
368×	`prod-diff_binary64`
281×	`pow-prod-down_binary64`
240×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	10
2	2452	10

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify142.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
395×	`fma-neg_binary64`
137×	`cancel-sign-sub-inv_binary64`
123×	`distribute-rgt-in_binary64`
100×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	462
1	28	462
2	55	462
3	93	342
4	178	342
5	302	342
6	549	342
7	886	342
8	1392	342
9	1934	342
10	2627	342
11	2763	342
12	2795	342
13	2800	342
14	2800	342

Stop Event

1×

saturated

Counts

87 → 58

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 t (-.f64 y z))
✓	0.3b	(/.f64 1/2 (/.f64 t (-.f64 y z)))

Compiler

Compiled 23 to 9 computations (60.9% saved)

series13.0ms (0.2%)

Counts

2 → 60

Calls

18 calls:

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

rewrite107.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log-prod_binary64`
386×	`prod-diff_binary64`
361×	`exp-prod_binary64`
268×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	185	17
2	2649	17

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-rgt-neg-in_binary64`
505×	`distribute-lft-neg-in_binary64`
430×	`associate-/r/_binary64`
429×	`associate-/l/_binary64`
393×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	966
1	153	948
2	485	852
3	2238	804
4	5260	744

Stop Event

1×	node limit

Counts

154 → 114

Calls

Call 1

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

eval158.0ms (1.9%)

Compiler: Compiled 5382 to 2746 computations (49% saved)

prune75.0ms (0.9%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	360	4	364
Fresh	2	2	4
Picked	0	1	1
Done	1	8	9
Total	363	15	378

Error

Counts

378 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.8b	(*.f64 z (/.f64 -1/2 t))
✓	19.3b	(*.f64 1/2 (/.f64 (-.f64 y z) t))
✓	39.7b	(/.f64 (*.f64 1/2 y) t)
✓	42.2b	(*.f64 1/2 (/.f64 x t))
▶	22.0b	(/.f64 1/2 (/.f64 t (-.f64 x z)))
✓	20.9b	(*.f64 1/2 (/.f64 (+.f64 y x) t))
▶	39.8b	(*.f64 y (/.f64 1/2 t))
✓	19.5b	(*.f64 (-.f64 y z) (/.f64 1/2 t))
▶	42.3b	(/.f64 1/2 (/.f64 t x))
✓	40.8b	(*.f64 -1/2 (/.f64 z t))
▶	20.9b	(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))
✓	0.3b	(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
✓	19.5b	(/.f64 1/2 (/.f64 t (-.f64 y z)))
▶	21.9b	(*.f64 1/2 (/.f64 (-.f64 x z) t))
	21.1b	(/.f64 1 (/.f64 (*.f64 t 2) (+.f64 y x)))

Compiler

Compiled 225 to 167 computations (25.8% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 10 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 18

Calls

9 calls:

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

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`log-prod_binary64`
376×	`fma-def_binary64`
349×	`pow-prod-down_binary64`
343×	`exp-prod_binary64`
235×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	162	10
2	2642	10

Stop Event

1×	node limit

Counts

1 → 103

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

117×	`fma-def_binary64`
108×	`fma-neg_binary64`
59×	`div-sub_binary64`
55×	`distribute-lft-in_binary64`
55×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	108
1	27	108
2	56	108
3	103	108
4	263	108
5	738	108
6	942	108
7	976	108
8	1007	108
9	1012	108

Stop Event

1×

saturated

Counts

121 → 108

Calls

Call 1

Inputs
(/.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 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)

localize9.0ms (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	@	0	(*.f64 y (/.f64 1/2 t))
0.0ms	y	@	-inf	(*.f64 y (/.f64 1/2 t))
0.0ms	t	@	-inf	(*.f64 y (/.f64 1/2 t))

rewrite44.0ms (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 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))))))))

simplify11.0ms (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))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1/2 (/.f64 t x))

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 x))
0.0ms	t	@	inf	(/.f64 1/2 (/.f64 t x))
0.0ms	t	@	-inf	(/.f64 1/2 (/.f64 t x))
0.0ms	x	@	-inf	(/.f64 1/2 (/.f64 t x))
0.0ms	x	@	inf	(/.f64 1/2 (/.f64 t x))

rewrite47.0ms (0.6%)

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 x))

Outputs

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

simplify9.0ms (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 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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite51.0ms (0.6%)

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 x z) t)

Outputs

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

simplify33.0ms (0.4%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 t (-.f64 x z))
✓	0.3b	(/.f64 1/2 (/.f64 t (-.f64 x z)))

Compiler

Compiled 23 to 9 computations (60.9% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log-prod_binary64`
386×	`prod-diff_binary64`
361×	`exp-prod_binary64`
268×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	185	17
2	2649	17

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-neg-in_binary64`
567×	`associate-/r/_binary64`
534×	`associate-/l/_binary64`
422×	`unswap-sqr_binary64`
332×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	966
1	148	948
2	467	846
3	2265	804
4	5654	804

Stop Event

1×	node limit

Counts

154 → 114

Calls

Call 1

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

eval70.0ms (0.8%)

Compiler: Compiled 3951 to 1875 computations (52.5% saved)

prune58.0ms (0.7%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	306	1	307
Fresh	0	1	1
Picked	0	1	1
Done	2	11	13
Total	308	14	322

Error

Counts

322 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.8b	(*.f64 z (/.f64 -1/2 t))
✓	19.3b	(*.f64 1/2 (/.f64 (-.f64 y z) t))
✓	39.7b	(/.f64 (*.f64 1/2 y) t)
✓	42.2b	(*.f64 1/2 (/.f64 x t))
✓	22.0b	(/.f64 1/2 (/.f64 t (-.f64 x z)))
✓	20.9b	(*.f64 1/2 (/.f64 (+.f64 y x) t))
✓	39.8b	(*.f64 y (/.f64 1/2 t))
✓	19.5b	(*.f64 (-.f64 y z) (/.f64 1/2 t))
	22.1b	(*.f64 (/.f64 1/2 t) (-.f64 x z))
	21.1b	(/.f64 1 (/.f64 (*.f64 t 2) (+.f64 y x)))
✓	42.3b	(/.f64 1/2 (/.f64 t x))
✓	40.8b	(*.f64 -1/2 (/.f64 z t))
✓	20.9b	(*.f64 1/2 (+.f64 (/.f64 y t) (/.f64 x t)))
✓	19.5b	(/.f64 1/2 (/.f64 t (-.f64 y z)))

Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes304.0ms (3.6%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

11 calls:

72.0ms	t
57.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
24.0ms	z
23.0ms	(-.f64 (+.f64 x y) z)
23.0ms	(+.f64 x 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 (+.f64 x y) z)`
0.0b	1	`(+.f64 x y)`
0.0b	1	`(+.f64 x y)`
0.0b	1	`(*.f64 t 2)`
0.0b	1	`(*.f64 t 2)`

Compiler

Compiled 246 to 143 computations (41.9% saved)

regimes114.0ms (1.3%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

8 calls:

18.0ms	(*.f64 t 2)
14.0ms	y
14.0ms	(+.f64 x y)
13.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
13.0ms	(-.f64 (+.f64 x y) z)

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 210 to 121 computations (42.4% saved)

regimes64.0ms (0.7%)

Counts

20 → 1

Calls

Call 1

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

5 calls:

12.0ms	y
12.0ms	z
12.0ms	(*.f64 t 2)
12.0ms	x
11.0ms	t

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`t`
0.3b	1	`(*.f64 t 2)`

Compiler

Compiled 161 to 91 computations (43.5% saved)

regimes248.0ms (2.9%)

Counts

19 → 2

Calls

Call 1

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

Calls

5 calls:

81.0ms	(*.f64 t 2)
77.0ms	t
38.0ms	z
27.0ms	x
20.0ms	y

Results

Error	Segments	Branch
5.7b	2	`x`
6.5b	2	`y`
5.8b	4	`z`
12.9b	8	`t`
12.9b	8	`(*.f64 t 2)`

Compiler

Compiled 152 to 87 computations (42.8% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-4.8883363713880545e-31	-6.588970868030848e-35

Compiler

Compiled 20 to 15 computations (25% saved)

regimes103.0ms (1.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	t
32.0ms	z
21.0ms	x
14.0ms	y

Results

Error	Segments	Branch
5.9b	2	`x`
6.6b	2	`y`
13.9b	5	`z`
15.1b	5	`t`

Compiler

Compiled 92 to 57 computations (38% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-6.588970868030848e-35	-7.908051207118156e-36

Compiler

Compiled 20 to 15 computations (25% saved)

regimes97.0ms (1.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	t
30.0ms	z
19.0ms	x
13.0ms	y

Results

Error	Segments	Branch
5.9b	2	`x`
6.6b	2	`y`
13.9b	5	`z`
15.1b	5	`t`

Compiler

Compiled 85 to 54 computations (36.5% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-4.8883363713880545e-31	-6.588970868030848e-35

Compiler

Compiled 20 to 15 computations (25% saved)

regimes93.0ms (1.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	t
23.0ms	z
22.0ms	x
17.0ms	y

Results

Error	Segments	Branch
15.4b	4	`x`
12.0b	2	`y`
16.8b	3	`z`
19.5b	5	`t`

Compiler

Compiled 78 to 50 computations (35.9% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.6721304867145286e+96	1.903231064984775e+100

Compiler

Compiled 20 to 15 computations (25% saved)

regimes99.0ms (1.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	x
27.0ms	t
21.0ms	z
15.0ms	y

Results

Error	Segments	Branch
14.6b	6	`x`
12.1b	2	`y`
16.9b	3	`z`
19.7b	5	`t`

Compiler

Compiled 71 to 47 computations (33.8% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.6721304867145286e+96	1.903231064984775e+100

Compiler

Compiled 20 to 15 computations (25% saved)

regimes125.0ms (1.5%)

Counts

8 → 8

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	x
39.0ms	t
24.0ms	z
20.0ms	y

Results

Error	Segments	Branch
19.2b	8	`x`
21.6b	3	`y`
23.4b	5	`z`
31.5b	8	`t`

Compiler

Compiled 64 to 43 computations (32.8% saved)

bsearch140.0ms (1.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
20.0ms	4.5139684045868965e-226	2.5759493867884205e-225
19.0ms	-3.4456307688211523e-302	-3.7095884707251555e-303
20.0ms	-4.337777309831154e-259	-1.2017579042372415e-265
21.0ms	-2.2384659789149964e-141	-1.3416195168300884e-142
21.0ms	-6.741720364843608e-103	-4.237269302420311e-103
20.0ms	-6.526256346597655e-80	-1.5769178160086758e-80
20.0ms	-2.7459369957840644e-40	-1.3609669046021387e-43

Compiler

Compiled 20 to 15 computations (25% saved)

regimes116.0ms (1.4%)

Counts

6 → 8

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	t
36.0ms	x
22.0ms	z
18.0ms	y

Results

Error	Segments	Branch
19.2b	8	`x`
21.6b	3	`y`
23.5b	5	`z`
31.5b	8	`t`

Compiler

Compiled 54 to 38 computations (29.6% saved)

bsearch134.0ms (1.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
19.0ms	4.5139684045868965e-226	2.5759493867884205e-225
19.0ms	-3.4456307688211523e-302	-3.7095884707251555e-303
19.0ms	-4.337777309831154e-259	-1.2017579042372415e-265
20.0ms	-2.2384659789149964e-141	-1.3416195168300884e-142
19.0ms	-6.741720364843608e-103	-4.237269302420311e-103
19.0ms	-6.526256346597655e-80	-1.5769178160086758e-80
19.0ms	-2.7459369957840644e-40	-1.3609669046021387e-43

Compiler

Compiled 20 to 15 computations (25% saved)

regimes101.0ms (1.2%)

Counts

5 → 8

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	t
31.0ms	x
20.0ms	z
16.0ms	y

Results

Error	Segments	Branch
19.3b	8	`x`
21.7b	3	`y`
23.5b	5	`z`
31.6b	8	`t`

Compiler

Compiled 49 to 35 computations (28.6% saved)

bsearch215.0ms (2.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
19.0ms	4.5139684045868965e-226	2.5759493867884205e-225
20.0ms	-3.4456307688211523e-302	-3.7095884707251555e-303
19.0ms	-4.337777309831154e-259	-1.2017579042372415e-265
98.0ms	-2.2384659789149964e-141	-1.3416195168300884e-142
21.0ms	-6.741720364843608e-103	-4.237269302420311e-103
19.0ms	-6.526256346597655e-80	-1.5769178160086758e-80
20.0ms	-2.7459369957840644e-40	-1.3609669046021387e-43

Compiler

Compiled 20 to 15 computations (25% saved)

regimes201.0ms (2.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

153.0ms	t
17.0ms	z
16.0ms	x
13.0ms	y

Results

Error	Segments	Branch
26.1b	2	`x`
27.4b	2	`y`
34.1b	5	`z`
35.5b	5	`t`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch36.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	-2.7459369957840644e-40	-1.3609669046021387e-43

Compiler

Compiled 20 to 15 computations (25% saved)

regimes78.0ms (0.9%)

Accuracy

Total -34.3b remaining (-131.4%)

Threshold costs -34.3b (-131.4%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	t
24.0ms	z
8.0ms	y
7.0ms	x

Results

Error	Segments	Branch
26.1b	2	`x`
27.5b	2	`y`
34.1b	5	`z`
35.6b	5	`t`

Compiler

Compiled 39 to 29 computations (25.6% saved)

bsearch39.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	-2.7459369957840644e-40	-1.3609669046021387e-43

Compiler

Compiled 20 to 15 computations (25% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
7×	`+-commutative_binary64`
4×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	510
1	104	510
2	111	510
3	113	510
4	114	510

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (/.f64 (-.f64 y z) t)) (.f64 1/2 (/.f64 x t)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
(if (<=.f64 x -714431161060784640/1461501637330902918203684832716283019655932542976) (.f64 1/2 (/.f64 (-.f64 x z) t)) (.f64 1/2 (/.f64 (-.f64 y z) t)))
(if (<=.f64 x -6163066695649731/93536104789177786765035829293842113257979682750464) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 1/2 (/.f64 t (-.f64 y z))))
(if (<=.f64 x -714431161060784640/1461501637330902918203684832716283019655932542976) (.f64 1/2 (/.f64 (-.f64 x z) t)) (.f64 (-.f64 y z) (/.f64 1/2 t)))
(if (<=.f64 y 1672130486714528633535354629581624010270623075616545581496283440871344230661356096927504451764224) (.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 (.f64 1/2 y) t))
(if (<=.f64 y 1672130486714528633535354629581624010270623075616545581496283440871344230661356096927504451764224) (.f64 (/.f64 1/2 t) (-.f64 x z)) (/.f64 (.f64 1/2 y) t))
(if (<=.f64 x -1723652588149863936/6277101735386680763835789423207666416102355444464034512896) (.f64 1/2 (/.f64 x t)) (if (<=.f64 x -139399989494291520/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -6800315074302123/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -7683308007168821/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -3754596810863701/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -26603829638458340/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x 6019841294269815/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 -1/2 (/.f64 z t)) (/.f64 (.f64 1/2 y) t))))))))
(if (<=.f64 x -1723652588149863936/6277101735386680763835789423207666416102355444464034512896) (.f64 1/2 (/.f64 x t)) (if (<=.f64 x -139399989494291520/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -6800315074302123/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -7683308007168821/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -3754596810863701/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -26603829638458340/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x 6019841294269815/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 z (/.f64 -1/2 t)) (/.f64 (.f64 1/2 y) t))))))))
(if (<=.f64 x -1723652588149863936/6277101735386680763835789423207666416102355444464034512896) (.f64 1/2 (/.f64 x t)) (if (<=.f64 x -139399989494291520/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y (/.f64 1/2 t)) (if (<=.f64 x -6800315074302123/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -7683308007168821/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (.f64 y (/.f64 1/2 t)) (if (<=.f64 x -3754596810863701/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -26603829638458340/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (.f64 y (/.f64 1/2 t)) (if (<=.f64 x 6019841294269815/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 z (/.f64 -1/2 t)) (.f64 y (/.f64 1/2 t)))))))))
(if (<=.f64 x -1723652588149863936/6277101735386680763835789423207666416102355444464034512896) (.f64 1/2 (/.f64 x t)) (.f64 y (/.f64 1/2 t)))
(if (<=.f64 x -1723652588149863936/6277101735386680763835789423207666416102355444464034512896) (/.f64 1/2 (/.f64 t x)) (*.f64 y (/.f64 1/2 t)))
(*.f64 y (/.f64 1/2 t))

Outputs
(+.f64 (.f64 1/2 (/.f64 (-.f64 y z) t)) (.f64 1/2 (/.f64 x t)))
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
(/.f64 (-.f64 (+.f64 y x) z) (*.f64 t 2))
(*.f64 (+.f64 x (-.f64 y z)) (/.f64 1/2 t))
(*.f64 (+.f64 (-.f64 y z) x) (/.f64 1/2 t))
(if (<=.f64 x -714431161060784640/1461501637330902918203684832716283019655932542976) (.f64 1/2 (/.f64 (-.f64 x z) t)) (.f64 1/2 (/.f64 (-.f64 y z) t)))
(if (<=.f64 x -1395373361446845/2854495385411919762116571938898990272765493248) (.f64 1/2 (/.f64 (-.f64 x z) t)) (.f64 1/2 (/.f64 (-.f64 y z) t)))
(if (<=.f64 x -6163066695649731/93536104789177786765035829293842113257979682750464) (*.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 1/2 (/.f64 t (-.f64 y z))))
(if (<=.f64 x -714431161060784640/1461501637330902918203684832716283019655932542976) (.f64 1/2 (/.f64 (-.f64 x z) t)) (.f64 (-.f64 y z) (/.f64 1/2 t)))
(if (<=.f64 x -1395373361446845/2854495385411919762116571938898990272765493248) (.f64 1/2 (/.f64 (-.f64 x z) t)) (.f64 (-.f64 y z) (/.f64 1/2 t)))
(if (<=.f64 y 1672130486714528633535354629581624010270623075616545581496283440871344230661356096927504451764224) (.f64 1/2 (/.f64 (-.f64 x z) t)) (/.f64 (.f64 1/2 y) t))
(if (<=.f64 y 1672130486714528633535354629581624010270623075616545581496283440871344230661356096927504451764224) (.f64 (/.f64 1/2 t) (-.f64 x z)) (/.f64 (.f64 1/2 y) t))
(if (<=.f64 x -1723652588149863936/6277101735386680763835789423207666416102355444464034512896) (.f64 1/2 (/.f64 x t)) (if (<=.f64 x -139399989494291520/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -6800315074302123/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -7683308007168821/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -3754596810863701/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -26603829638458340/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x 6019841294269815/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 -1/2 (/.f64 z t)) (/.f64 (.f64 1/2 y) t))))))))
(if (<=.f64 x -3366508961230203/12259964326927110866866776217202473468949912977468817408) (.f64 1/2 (/.f64 x t)) (if (<=.f64 x -2178124835848305/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -6800315074302123/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -7683308007168821/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -3754596810863701/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (.f64 -1/2 (/.f64 z t)) (if (<=.f64 x -6650957409614585/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x 6019841294269815/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 -1/2 (/.f64 z t)) (/.f64 (.f64 1/2 y) t))))))))
(if (<=.f64 x -1723652588149863936/6277101735386680763835789423207666416102355444464034512896) (.f64 1/2 (/.f64 x t)) (if (<=.f64 x -139399989494291520/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -6800315074302123/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -7683308007168821/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -3754596810863701/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -26603829638458340/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x 6019841294269815/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 z (/.f64 -1/2 t)) (/.f64 (.f64 1/2 y) t))))))))
(if (<=.f64 x -3366508961230203/12259964326927110866866776217202473468949912977468817408) (.f64 1/2 (/.f64 x t)) (if (<=.f64 x -2178124835848305/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -6800315074302123/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -7683308007168821/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x -3754596810863701/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (.f64 z (/.f64 -1/2 t)) (if (<=.f64 x -6650957409614585/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (/.f64 (.f64 1/2 y) t) (if (<=.f64 x 6019841294269815/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 z (/.f64 -1/2 t)) (/.f64 (.f64 1/2 y) t))))))))
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(*.f64 y (/.f64 1/2 t))

Compiler

Compiled 410 to 281 computations (31.5% saved)

soundness0.0ms (0%)

end203.0ms (2.4%)

Compiler: Compiled 392 to 237 computations (39.5% saved)