Details

analyze311.0ms (3.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
17.2%	79.4%	3.4%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.5s (16.6%)

Results

1.0s	8256×	body	256	valid
410.0ms	3969×	body	256	invalid

preprocess58.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

832×	`unsub-neg_binary64`
435×	`+-commutative_binary64`
342×	`distribute-rgt-in_binary64`
320×	`associate--r-_binary64`
286×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	91
1	56	77
2	162	77
3	612	77
4	2556	77
5	4215	77
6	7027	77
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2262×	`fma-neg_binary64`
697×	`fma-def_binary64`
681×	`unsub-neg_binary64`
313×	`distribute-rgt-in_binary64`
278×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	11
2	37	11
3	117	11
4	453	11
5	1476	11
6	2927	11
7	4018	11
8	5023	11
9	5271	11
10	5282	11
11	5282	11
12	5324	11
13	5324	11
14	5324	11
15	7601	11
16	7601	11
17	7601	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 9 computations (57.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series31.0ms (0.4%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
1.0ms	z	@	inf	(*.f64 (-.f64 y z) (-.f64 t x))
1.0ms	y	@	inf	(*.f64 (-.f64 y z) (-.f64 t x))
1.0ms	y	@	0	(*.f64 (-.f64 y z) (-.f64 t x))
1.0ms	t	@	-inf	(*.f64 (-.f64 y z) (-.f64 t x))

rewrite145.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
520×	`fma-def_binary64`
444×	`pow-prod-down_binary64`
303×	`pow2_binary64`
239×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	208	21
2	3221	21

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

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

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

simplify193.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2719×	`fma-neg_binary64`
396×	`unsub-neg_binary64`
314×	`fma-def_binary64`
313×	`sub-neg_binary64`
286×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1500
1	102	1169
2	238	935
3	754	929
4	1834	929
5	3820	929
6	4441	929
7	4631	929
8	4669	929
9	4669	929
10	5005	929
11	5059	929
12	5059	929
13	7079	929
14	7079	929
15	7079	929

Stop Event

1×

saturated

Counts

195 → 125

Calls

Call 1

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

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

eval25.0ms (0.3%)

Compiler: Compiled 1999 to 540 computations (73% saved)

prune46.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	119	6	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	6	126

Error

Counts

126 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.6b	(+.f64 x (*.f64 t (-.f64 y z)))
▶	28.5b	(+.f64 x (*.f64 x (-.f64 z y)))
▶	26.1b	(+.f64 (*.f64 y (-.f64 t x)) x)
	23.2b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
▶	21.9b	(+.f64 x (*.f64 z (-.f64 x t)))
▶	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) (neg.f64 z))))

Compiler

Compiled 166 to 100 computations (39.8% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series20.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

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

rewrite105.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`fma-def_binary64`
633×	`log-prod_binary64`
374×	`fma-neg_binary64`
224×	`pow1/3_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	257	35
2	4076	35

Stop Event

1×	node limit

Counts

4 → 309

Calls

Call 1

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

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

simplify177.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2912×	`fma-neg_binary64`
477×	`fma-def_binary64`
465×	`associate-+l-_binary64`
458×	`sub-neg_binary64`
358×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	2229
1	211	1955
2	566	1409
3	1633	1409
4	4006	1409
5	5012	1409
6	5214	1409
7	5238	1409
8	5238	1409
9	5675	1409
10	5787	1409
11	5787	1409

Stop Event

1×	node limit

Counts

477 → 350

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite128.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`pow1_binary64`
900×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	15
2	2363	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(*.f64 z (-.f64 x t))
(+.f64 x (*.f64 z (-.f64 x t)))

Outputs

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

353×	`fma-def_binary64`
264×	`fma-neg_binary64`
59×	`cancel-sign-sub-inv_binary64`
53×	`sub-neg_binary64`
51×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	608
1	62	420
2	134	420
3	279	420
4	550	420
5	1011	420
6	1318	420
7	1373	420
8	1374	420

Stop Event

1×

saturated

Counts

114 → 69

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1780	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 y (-.f64 t x))

Outputs

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

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(*.f64 y t)
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(*.f64 y t)
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(*.f64 y t)
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))
(+.f64 (.f64 y t) (.f64 -1 (*.f64 y x)))
(fma.f64 y t (neg.f64 (*.f64 y x)))
(-.f64 (.f64 y t) (.f64 y x))
(*.f64 y (-.f64 t x))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`pow1_binary64`
906×	`add-log-exp_binary64`
906×	`log1p-expm1-u_binary64`
906×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	159	15
2	2396	15

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(+.f64 x (*.f64 x (-.f64 z y)))
(*.f64 x (-.f64 z y))

Outputs

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

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
235×	`fma-neg_binary64`
103×	`distribute-rgt-in_binary64`
101×	`unsub-neg_binary64`
89×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	573
1	61	572
2	137	512
3	316	512
4	701	512
5	1356	512
6	1877	512
7	1881	512

Stop Event

1×

saturated

Counts

129 → 71

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (+.f64 1 z) y) x)
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 (-.f64 (+.f64 1 z) y) x)
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 (-.f64 (+.f64 1 z) y) x)
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 (-.f64 (+.f64 1 z) y) x)
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 (-.f64 (+.f64 1 z) y) x)
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 (-.f64 (+.f64 1 z) y) x)
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 (-.f64 (+.f64 1 z) y) x)
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 (-.f64 (+.f64 1 z) y) x)
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 z y)) 1) x))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 z y)) 1) x))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 z y)) 1) x))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (-.f64 z y)) 1) x))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(fma.f64 -1 (*.f64 y x) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 z x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 z x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (.f64 z x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(+.f64 (.f64 z x) (+.f64 x (.f64 -1 (*.f64 y x))))
(*.f64 (+.f64 1 (-.f64 z y)) x)
(+.f64 x (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) x)
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(*.f64 (-.f64 z y) x)
(*.f64 x (-.f64 z y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 z y))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(*.f64 t (-.f64 y z))
1.0ms	t	@	0	(*.f64 t (-.f64 y z))
0.0ms	y	@	-inf	(*.f64 t (-.f64 y z))
0.0ms	t	@	-inf	(*.f64 t (-.f64 y z))
0.0ms	z	@	0	(*.f64 t (-.f64 y z))

rewrite117.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1780	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

eval206.0ms (2.3%)

Compiler: Compiled 9244 to 2267 computations (75.5% saved)

prune150.0ms (1.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	530	9	539
Fresh	1	0	1
Picked	0	1	1
Done	1	3	4
Total	532	13	545

Error

Counts

545 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	47.5b	x
✓	19.6b	(+.f64 x (*.f64 t (-.f64 y z)))
✓	28.5b	(+.f64 x (*.f64 x (-.f64 z y)))
▶	35.5b	(+.f64 (*.f64 y t) x)
	31.8b	(+.f64 x (*.f64 z (neg.f64 t)))
▶	19.6b	(+.f64 x (+.f64 (.f64 y t) (.f64 (neg.f64 z) t)))
	38.0b	(-.f64 x (*.f64 y x))
	53.2b	(*.f64 x (neg.f64 y))
✓	26.1b	(+.f64 (*.f64 y (-.f64 t x)) x)
▶	32.5b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) t) (+.f64 y z)))
▶	38.3b	(+.f64 x (*.f64 z x))
▶	53.4b	(*.f64 z x)
✓	21.9b	(+.f64 x (*.f64 z (-.f64 x t)))

Compiler

Compiled 219 to 144 computations (34.2% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
✓	0.0b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
773×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2561	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))

Outputs

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

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-def_binary64`
110×	`fma-neg_binary64`
31×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
27×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	360
1	46	240
2	102	240
3	191	240
4	329	240
5	512	240
6	627	240
7	668	240

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

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

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

localize2.0ms (0%)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (*.f64 z x))
✓	0.0b	(+.f64 x (*.f64 z x))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
595×	`add-log-exp_binary64`
594×	`log1p-expm1-u_binary64`
594×	`expm1-log1p-u_binary64`
582×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	5
2	1610	5

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(+.f64 x (*.f64 z x))

Outputs

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

68×	`fma-def_binary64`
53×	`fma-neg_binary64`
19×	`unsub-neg_binary64`
17×	`distribute-rgt-in_binary64`
16×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	31	114
2	63	114
3	140	114
4	238	114
5	335	114
6	395	114

Stop Event

1×

saturated

Counts

64 → 45

Calls

Call 1

Inputs
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
x
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)

Outputs
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
x
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)

localize3.0ms (0%)

localize42.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.9b	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) t) (+.f64 y z))
	8.2b	(.f64 (-.f64 (.f64 y y) (*.f64 z z)) t)
	0.7b	(-.f64 (.f64 y y) (.f64 z z))
✓	0.7b	(-.f64 (.f64 y y) (.f64 z z))
✓	8.2b	(.f64 (-.f64 (.f64 y y) (*.f64 z z)) t)
✓	16.9b	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) t) (+.f64 y z))

series13.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite101.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
538×	`fma-def_binary64`
311×	`pow2_binary64`
247×	`fma-neg_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	233	30
2	3581	30

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 y z) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 y z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 y z) t)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 y z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y z) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (/.f64 (+.f64 y z) t)) (/.f64 (*.f64 z z) (/.f64 (+.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 1 (/.f64 (+.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (*.f64 t (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) (/.f64 1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 y z) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 y z) t)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) t)) 2) (cbrt.f64 (*.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (*.f64 (sqrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 y z) t)) (sqrt.f64 (*.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (/.f64 1 (neg.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y z)) (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1) (/.f64 t (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (/.f64 t (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (/.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) 2)) (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (*.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (sqrt.f64 (+.f64 y z))) (/.f64 t (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 (+.f64 y z))) (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y z))) (/.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) 2)) (sqrt.f64 (+.f64 y z))) (/.f64 (cbrt.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z))) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) (+.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (-.f64 z y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y z) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y z) t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y z) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y z) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 y z) t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) 3) (pow.f64 (+.f64 y z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 y z) t)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 t (+.f64 y z)) (-.f64 y z)) (neg.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y z) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 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(*.f64 z (neg.f64 z)))) (fma.f64 z (neg.f64 z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) z (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 y z) 2) (pow.f64 y 4))) (fma.f64 z (neg.f64 z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 y z) 2) (pow.f64 y 4))) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 y z) 2) (pow.f64 y 4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 y z) 2) (pow.f64 y 4))) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 y z) 2) (pow.f64 y 4))) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 y z) 2)) (fma.f64 z (neg.f64 z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 y z) 2)) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 y z) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 y z) 2)) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 y z) 2)) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 z (neg.f64 z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) (+.f64 y z) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 z (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 z))) 2) (cbrt.f64 (*.f64 z (neg.f64 z))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) 2) (cbrt.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) (-.f64 (*.f64 y y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) (sqrt.f64 (*.f64 z (neg.f64 z))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) z) (hypot.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) z) (-.f64 (*.f64 y y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z z) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) z (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 z (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y y) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y y) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y y) (*.f64 z z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y y) (*.f64 z z))))))))

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

589×	`associate-/r*_binary64`
556×	`associate-l_binary64`
364×	`associate-r_binary64`
330×	`associate-*l/_binary64`
295×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	1098
1	54	978
2	110	888
3	248	888
4	822	888
5	3434	888

Stop Event

1×	node limit

Counts

382 → 307

Calls

Call 1

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

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

eval124.0ms (1.4%)

Compiler: Compiled 8386 to 2427 computations (71.1% saved)

prune101.0ms (1.2%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	401	3	404
Fresh	1	3	4
Picked	1	0	1
Done	1	7	8
Total	404	13	417

Error

Counts

417 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	47.5b	x
✓	28.5b	(+.f64 x (*.f64 x (-.f64 z y)))
✓	35.5b	(+.f64 (*.f64 y t) x)
▶	31.8b	(+.f64 x (*.f64 z (neg.f64 t)))
▶	38.0b	(-.f64 x (*.f64 y x))
✓	19.6b	(+.f64 x (*.f64 t (-.f64 y z)))
▶	53.2b	(*.f64 x (neg.f64 y))
✓	26.1b	(+.f64 (*.f64 y (-.f64 t x)) x)
✓	38.3b	(+.f64 x (*.f64 z x))
✓	53.4b	(*.f64 z x)
✓	21.9b	(+.f64 x (*.f64 z (-.f64 x t)))
▶	19.6b	(+.f64 x (-.f64 (.f64 y t) (.f64 t z)))
▶	41.1b	(+.f64 x (/.f64 (.f64 (.f64 y y) t) (+.f64 y z)))

Compiler

Compiled 184 to 121 computations (34.2% saved)

localize36.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	7
2	2221	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

126×	`fma-def_binary64`
70×	`fma-neg_binary64`
37×	`unsub-neg_binary64`
26×	`distribute-rgt-in_binary64`
25×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	360
1	44	240
2	96	240
3	235	240
4	392	240
5	511	240
6	580	240
7	585	240

Stop Event

1×

saturated

Counts

85 → 56

Calls

Call 1

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

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (*.f64 y x))
✓	0.0b	(-.f64 x (*.f64 y x))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1648	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(-.f64 x (*.f64 y x))

Outputs

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

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
17×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	360	160
7	439	160
8	508	160
9	514	160

Stop Event

1×

saturated

Counts

64 → 48

Calls

Call 1

Inputs
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))

Outputs
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))

localize4.0ms (0%)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	9.2b	(/.f64 (.f64 (.f64 y y) t) (+.f64 y z))
	8.8b	(.f64 (.f64 y y) t)
	0.0b	(+.f64 x (/.f64 (.f64 (.f64 y y) t) (+.f64 y z)))
✓	0.0b	(+.f64 x (/.f64 (.f64 (.f64 y y) t) (+.f64 y z)))
✓	8.8b	(.f64 (.f64 y y) t)
✓	9.2b	(/.f64 (.f64 (.f64 y y) t) (+.f64 y z))

series18.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	(/.f64 (.f64 (.f64 y y) t) (+.f64 y z))
1.0ms	y	@	0	(/.f64 (.f64 (.f64 y y) t) (+.f64 y z))
1.0ms	t	@	0	(/.f64 (.f64 (.f64 y y) t) (+.f64 y z))
1.0ms	x	@	0	(+.f64 x (/.f64 (.f64 (.f64 y y) t) (+.f64 y z)))
1.0ms	z	@	inf	(/.f64 (.f64 (.f64 y y) t) (+.f64 y z))

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
420×	`fma-def_binary64`
318×	`pow2_binary64`
247×	`fma-neg_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	227	36
2	3529	34

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 y t) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (/.f64 1 (/.f64 (+.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 t (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (*.f64 y y) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y y) t) (/.f64 1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)) (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))) 4)) (cbrt.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 t)) 4)) (*.f64 (cbrt.f64 (*.f64 (*.f64 y y) t)) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))) (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 t)) (*.f64 (*.f64 y (sqrt.f64 t)) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y y) (neg.f64 t)) (/.f64 1 (neg.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y z)) (*.f64 (*.f64 y y) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (*.f64 y t) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) 1) (/.f64 t (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 (*.f64 y y) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 t)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 y y) t)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 t)) 1) (/.f64 (*.f64 y (sqrt.f64 t)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (pow.f64 (+.f64 y z) 2))) (/.f64 (*.f64 y t) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (cbrt.f64 (pow.f64 (+.f64 y z) 2))) (/.f64 t (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (cbrt.f64 (pow.f64 (+.f64 y z) 2))) (/.f64 (*.f64 y y) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) -2) (/.f64 (*.f64 (*.f64 y y) t) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 t)) 4)) (cbrt.f64 (pow.f64 (+.f64 y z) 2))) (cbrt.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (sqrt.f64 t)) (cbrt.f64 (pow.f64 (+.f64 y z) 2))) (/.f64 (*.f64 y (sqrt.f64 t)) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (+.f64 y z))) (/.f64 (*.f64 y t) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y z))) (/.f64 t (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 (+.f64 y z))) (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y z) -1/2) (/.f64 (*.f64 (*.f64 y y) t) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 t)) 4)) (sqrt.f64 (+.f64 y z))) (/.f64 (cbrt.f64 (*.f64 (*.f64 y y) t)) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 y y) t) (+.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 y y) t) (-.f64 (*.f64 y y) (*.f64 z z))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -2) (/.f64 (+.f64 y z) t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 y -2) (/.f64 (+.f64 y z) t)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 y y) t) (neg.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (/.f64 (+.f64 y z) t))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) t)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 y y) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y y) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 t)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 t)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 6) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 t 3) (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 t)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 6) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y y) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y y) t)))))))

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

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-neg_binary64`
679×	`associate-l_binary64`
519×	`associate-*l/_binary64`
406×	`associate-/r/_binary64`
320×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1777
1	212	1735
2	601	1576
3	2465	1495

Stop Event

1×	node limit

Counts

258 → 188

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 y 2) t) z)
(+.f64 (/.f64 (.f64 (pow.f64 y 2) t) z) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 z 2))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) t) z) (+.f64 (/.f64 (.f64 (pow.f64 y 4) t) (pow.f64 z 3)) (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) t) (pow.f64 z 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) t) z) (+.f64 (/.f64 (.f64 (pow.f64 y 4) t) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) t) (pow.f64 z 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 5) t) (pow.f64 z 4))))))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 y t) (/.f64 (.f64 t (pow.f64 z 2)) y)))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 -1 (/.f64 (.f64 t (pow.f64 z 3)) (pow.f64 y 2))) (+.f64 (.f64 y t) (/.f64 (.f64 t (pow.f64 z 2)) y))))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 y t) (/.f64 (.f64 t (pow.f64 z 2)) y)))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 -1 (/.f64 (.f64 t (pow.f64 z 3)) (pow.f64 y 2))) (+.f64 (.f64 y t) (/.f64 (.f64 t (pow.f64 z 2)) y))))
(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
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(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
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(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
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(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 y t) (/.f64 (.f64 t (pow.f64 z 2)) y)))
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(/.f64 (*.f64 (pow.f64 y 2) t) z)
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(+.f64 (/.f64 (.f64 (pow.f64 y 2) t) z) (+.f64 (/.f64 (.f64 (pow.f64 y 4) t) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) t) (pow.f64 z 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 y 5) t) (pow.f64 z 4))))))
(/.f64 (*.f64 (pow.f64 y 2) t) z)
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(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(*.f64 (pow.f64 y 2) t)
(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z)) x)
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(+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z)) x)
x
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x
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(+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z)) x)
x
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(*.f64 y t)
(-.f64 (+.f64 (.f64 y t) x) (.f64 t z))
(-.f64 (+.f64 (.f64 y t) (+.f64 x (/.f64 (.f64 t (pow.f64 z 2)) y))) (*.f64 t z))
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(*.f64 y t)
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(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 t (pow.f64 z 3)) (pow.f64 y 2))) (+.f64 (.f64 y t) (+.f64 x (/.f64 (.f64 t (pow.f64 z 2)) y)))) (*.f64 t z))
x
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z)) x)
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(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
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(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
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(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 -1 (/.f64 (.f64 t (pow.f64 z 3)) (pow.f64 y 2))) (+.f64 (.f64 y t) (+.f64 (/.f64 (.f64 t (pow.f64 z 2)) y) x))))
x
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x
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) t) z) x)
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Outputs
(/.f64 (*.f64 (pow.f64 y 2) t) z)
(/.f64 (.f64 (.f64 y y) t) z)
(.f64 (/.f64 (.f64 y y) z) t)
(.f64 t (/.f64 (.f64 y y) z))
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(-.f64 (.f64 (/.f64 (.f64 y y) z) t) (*.f64 (/.f64 t z) (/.f64 (pow.f64 y 3) z)))
(.f64 t (-.f64 (/.f64 (.f64 y y) z) (/.f64 (pow.f64 y 3) (*.f64 z z))))
(.f64 (/.f64 (.f64 y y) z) (-.f64 t (*.f64 y (/.f64 t z))))
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(fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) t (.f64 t (-.f64 (/.f64 (.f64 y y) z) (/.f64 (pow.f64 y 3) (*.f64 z z)))))
(.f64 (/.f64 t z) (+.f64 (-.f64 (/.f64 (pow.f64 y 4) (.f64 z z)) (/.f64 (pow.f64 y 3) z)) (*.f64 y y)))
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(*.f64 y t)
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(-.f64 (fma.f64 y t (.f64 (/.f64 t y) (.f64 z z))) (*.f64 t z))
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(*.f64 y t)
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(/.f64 (*.f64 (pow.f64 y 2) t) (+.f64 y z))
(/.f64 (*.f64 y y) (/.f64 (+.f64 y z) t))
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(.f64 t (/.f64 (.f64 y y) (+.f64 y z)))
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(.f64 t (/.f64 (.f64 y y) (+.f64 y z)))
(*.f64 y t)
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(fma.f64 -1 (.f64 t z) (fma.f64 -1 (/.f64 t (/.f64 (.f64 y y) (pow.f64 z 3))) (fma.f64 y t (/.f64 t (/.f64 y (*.f64 z z))))))
(-.f64 (-.f64 (fma.f64 y t (.f64 (/.f64 t y) (.f64 z z))) (.f64 (/.f64 t (.f64 y y)) (pow.f64 z 3))) (*.f64 t z))
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(/.f64 (*.f64 (pow.f64 y 2) t) z)
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(fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) t (.f64 t (-.f64 (/.f64 (.f64 y y) z) (/.f64 (pow.f64 y 3) (*.f64 z z)))))
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(fma.f64 (/.f64 (*.f64 y y) z) t x)
(+.f64 (/.f64 (.f64 (pow.f64 y 2) t) z) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) t) (pow.f64 z 2))) x))
(+.f64 (/.f64 (.f64 (.f64 y y) t) z) (fma.f64 -1 (/.f64 (.f64 t (pow.f64 y 3)) (.f64 z z)) x))
(+.f64 (.f64 (/.f64 (.f64 y y) z) t) (-.f64 x (*.f64 (/.f64 t z) (/.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 t (-.f64 (/.f64 (.f64 y y) z) (/.f64 (pow.f64 y 3) (*.f64 z z)))) x)
(+.f64 x (.f64 (/.f64 (.f64 y y) z) (-.f64 t (*.f64 y (/.f64 t z)))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) t) z) (+.f64 (/.f64 (.f64 (pow.f64 y 4) t) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) t) (pow.f64 z 2))) x)))
(+.f64 (/.f64 (.f64 (.f64 y y) t) z) (+.f64 (/.f64 (.f64 t (pow.f64 y 4)) (pow.f64 z 3)) (fma.f64 -1 (/.f64 (.f64 t (pow.f64 y 3)) (*.f64 z z)) x)))
(+.f64 (/.f64 (.f64 t (pow.f64 y 4)) (pow.f64 z 3)) (+.f64 (.f64 (/.f64 (.f64 y y) z) t) (-.f64 x (.f64 (/.f64 t z) (/.f64 (pow.f64 y 3) z)))))
(+.f64 (.f64 t (-.f64 (/.f64 (.f64 y y) z) (/.f64 (pow.f64 y 3) (*.f64 z z)))) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 z 3)) t x))
(+.f64 x (.f64 (/.f64 t z) (+.f64 (-.f64 (/.f64 (pow.f64 y 4) (.f64 z z)) (/.f64 (pow.f64 y 3) z)) (*.f64 y y))))

eval101.0ms (1.1%)

Compiler: Compiled 4728 to 1394 computations (70.5% saved)

prune53.0ms (0.6%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	291	1	292
Fresh	1	0	1
Picked	0	1	1
Done	0	11	11
Total	292	13	305

Error

Counts

305 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.5b	(+.f64 x (*.f64 x (-.f64 z y)))
✓	35.5b	(+.f64 (*.f64 y t) x)
✓	31.8b	(+.f64 x (*.f64 z (neg.f64 t)))
✓	38.0b	(-.f64 x (*.f64 y x))
✓	19.6b	(+.f64 x (*.f64 t (-.f64 y z)))
	47.5b	x
✓	53.2b	(*.f64 x (neg.f64 y))
✓	26.1b	(+.f64 (*.f64 y (-.f64 t x)) x)
✓	38.3b	(+.f64 x (*.f64 z x))
✓	53.4b	(*.f64 z x)
✓	21.9b	(+.f64 x (*.f64 z (-.f64 x t)))
✓	19.6b	(+.f64 x (-.f64 (.f64 y t) (.f64 t z)))
✓	41.1b	(+.f64 x (/.f64 (.f64 (.f64 y y) t) (+.f64 y z)))

Compiler

Compiled 129 to 85 computations (34.1% saved)

regimes191.0ms (2.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

6 calls:

103.0ms	z
16.0ms	x
13.0ms	t
13.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
10.0ms	(-.f64 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 x (*.f64 (-.f64 y z) (-.f64 t x)))`
0.0b	1	`(-.f64 y z)`

Compiler

Compiled 188 to 82 computations (56.4% saved)

regimes373.0ms (4.3%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

6 calls:

112.0ms	(-.f64 y z)
97.0ms	(-.f64 y z)
69.0ms	x
35.0ms	y
30.0ms	z

Results

Error	Segments	Branch
10.4b	6	`x`
6.9b	4	`y`
8.6b	3	`z`
8.6b	3	`t`
10.3b	9	`(-.f64 y z)`
10.3b	9	`(-.f64 y z)`

Compiler

Compiled 106 to 56 computations (47.2% saved)

bsearch290.0ms (3.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
248.0ms	4.524421054862909e+36	3.0698839307893273e+41
21.0ms	9.91010242088817e-82	1.8971592929183046e-81
21.0ms	-5.22412245419128e-16	-1.7509199071263968e-18

Compiler

Compiled 254 to 167 computations (34.3% saved)

regimes394.0ms (4.5%)

Counts

13 → 4

Calls

Call 1

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

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

Calls

6 calls:

166.0ms	(-.f64 y z)
97.0ms	(-.f64 y z)
43.0ms	x
31.0ms	y
30.0ms	z

Results

Error	Segments	Branch
10.4b	6	`x`
6.9b	4	`y`
8.6b	3	`z`
8.6b	3	`t`
10.3b	9	`(-.f64 y z)`
10.3b	9	`(-.f64 y z)`

Compiler

Compiled 97 to 53 computations (45.4% saved)

bsearch283.0ms (3.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
244.0ms	4.524421054862909e+36	3.0698839307893273e+41
19.0ms	9.91010242088817e-82	1.8971592929183046e-81
20.0ms	-5.22412245419128e-16	-1.7509199071263968e-18

Compiler

Compiled 236 to 158 computations (33.1% saved)

regimes312.0ms (3.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

6 calls:

105.0ms	x
71.0ms	(-.f64 y z)
62.0ms	z
27.0ms	(-.f64 y z)
22.0ms	y

Results

Error	Segments	Branch
10.4b	6	`x`
12.2b	3	`y`
13.9b	5	`z`
8.6b	3	`t`
15.5b	4	`(-.f64 y z)`
15.5b	4	`(-.f64 y z)`

Compiler

Compiled 90 to 50 computations (44.4% saved)

bsearch150.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	6.755418942242301e-132	1.6380459562325301e-131
20.0ms	-6.384989966644231e-53	-2.49812443861093e-53

Compiler

Compiled 20 to 14 computations (30% saved)

regimes319.0ms (3.6%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

6 calls:

126.0ms	z
62.0ms	t
59.0ms	(-.f64 y z)
32.0ms	(-.f64 y z)
19.0ms	x

Results

Error	Segments	Branch
16.5b	3	`x`
17.6b	2	`y`
17.6b	3	`z`
13.5b	5	`t`
17.4b	5	`(-.f64 y z)`
17.4b	5	`(-.f64 y z)`

Compiler

Compiled 76 to 44 computations (42.1% saved)

bsearch133.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
49.0ms	6.755418942242301e-132	1.6380459562325301e-131
38.0ms	-5.227497238739415e-262	-1.8304768175504343e-264
25.0ms	-7.12654353397274e-190	-5.05663065191177e-198
22.0ms	-6.384989966644231e-53	-2.49812443861093e-53

Compiler

Compiled 20 to 14 computations (30% saved)

regimes219.0ms (2.5%)

Counts

9 → 6

Calls

Call 1

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

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

Calls

4 calls:

125.0ms	x
39.0ms	y
31.0ms	t
22.0ms	z

Results

Error	Segments	Branch
24.3b	9	`x`
21.5b	6	`y`
23.0b	4	`z`
23.2b	5	`t`

Compiler

Compiled 55 to 31 computations (43.6% saved)

bsearch365.0ms (4.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
52.0ms	5.0075418728763506	6792.538824312341
19.0ms	1.9464807162357437e-28	7.061741941814419e-28
20.0ms	-5.22412245419128e-16	-1.7509199071263968e-18
20.0ms	-0.0021795917774549535	-6.095768917797083e-5
254.0ms	-6.691942003194627e+46	-1.8369492401731193e+45

Compiler

Compiled 160 to 112 computations (30% saved)

regimes149.0ms (1.7%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	x
43.0ms	z
35.0ms	y
25.0ms	t

Results

Error	Segments	Branch
30.5b	3	`x`
26.7b	6	`y`
27.9b	3	`z`
26.7b	4	`t`

Compiler

Compiled 49 to 28 computations (42.9% saved)

bsearch196.0ms (2.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
20.0ms	5.0075418728763506	6792.538824312341
20.0ms	3.276333225367444e-105	1.1159313652812046e-96
31.0ms	-6.444370312987969e-40	-5.3090697987034374e-40
19.0ms	-0.0021795917774549535	-6.095768917797083e-5
106.0ms	-6.691942003194627e+46	-1.8369492401731193e+45

Compiler

Compiled 160 to 112 computations (30% saved)

regimes77.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(*.f64 z x)
(+.f64 (*.f64 y t) x)
(*.f64 z x)

Calls

4 calls:

23.0ms	y
22.0ms	t
16.0ms	z
14.0ms	x

Results

Error	Segments	Branch
30.5b	3	`x`
31.7b	4	`y`
28.0b	3	`z`
28.8b	3	`t`

Compiler

Compiled 44 to 27 computations (38.6% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.8298973294893724e+26	2.485423015514554e+27
19.0ms	-2.355918548127778e+33	-4.726518231190773e+20

Compiler

Compiled 20 to 14 computations (30% saved)

regimes83.0ms (0.9%)

Counts

5 → 5

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)
(*.f64 x (neg.f64 y))

Outputs
(*.f64 z x)
x
(*.f64 x (neg.f64 y))
x
(*.f64 z x)

Calls

4 calls:

31.0ms	x
23.0ms	z
13.0ms	y
13.0ms	t

Results

Error	Segments	Branch
42.4b	7	`x`
38.7b	3	`y`
37.7b	5	`z`
44.3b	3	`t`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch83.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	0.007554489855588428	1.1939547905501224
21.0ms	-4.734596156915853e-99	-2.886573915588115e-101
20.0ms	-4.0162809367621347e-38	-1.578170742019307e-41
22.0ms	-1637.7993783000702	-335.3890735976456

Compiler

Compiled 20 to 14 computations (30% saved)

regimes58.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)

Outputs
(*.f64 z x)
x
(*.f64 z x)

Calls

4 calls:

20.0ms	x
17.0ms	t
12.0ms	z
8.0ms	y

Results

Error	Segments	Branch
43.6b	5	`x`
46.1b	2	`y`
38.8b	3	`z`
44.8b	3	`t`

Compiler

Compiled 30 to 21 computations (30% saved)

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.007554489855588428	1.1939547905501224
20.0ms	-1637.7993783000702	-335.3890735976456

Compiler

Compiled 20 to 14 computations (30% saved)

regimes17.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

4 calls:

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

Results

Error	Segments	Branch
47.5b	1	`x`
47.5b	1	`y`
47.5b	1	`z`
47.5b	1	`t`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`+-commutative_binary64`
17×	`*-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	477
1	142	475
2	167	475
3	177	475
4	181	475

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 8467140118266223/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 304999999999999998989604400299263855165440) (+.f64 x (-.f64 (.f64 y t) (.f64 t z))) (+.f64 (*.f64 y (-.f64 t x)) x))))
(if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 8467140118266223/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 304999999999999998989604400299263855165440) (+.f64 x (.f64 t (-.f64 y z))) (+.f64 (.f64 y (-.f64 t x)) x))))
(if (<=.f64 t -1721389889710204/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t 5398712138168857/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (+.f64 x (.f64 x (-.f64 z y))) (+.f64 x (*.f64 t (-.f64 y z)))))
(if (<=.f64 t -1721389889710204/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t -7149999141120421/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (+.f64 x (.f64 z x)) (if (<=.f64 t -1186123166355351552/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t 5398712138168857/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (-.f64 x (.f64 y x)) (+.f64 x (*.f64 t (-.f64 y z)))))))
(if (<=.f64 y -1849999999999999885896617198243637275580694528) (+.f64 (.f64 y t) x) (if (<=.f64 y -40206371703873232/18446744073709551616) (-.f64 x (.f64 y x)) (if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 (.f64 y t) x) (if (<=.f64 y 4340797048662671/22300745198530623141535718272648361505980416) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y 2818995464091011/562949953421312) (+.f64 (.f64 y t) x) (-.f64 x (.f64 y x)))))))
(if (<=.f64 y -1849999999999999885896617198243637275580694528) (+.f64 (.f64 y t) x) (if (<=.f64 y -40206371703873232/18446744073709551616) (-.f64 x (.f64 y x)) (if (<=.f64 y -4045196807513118720/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 y t) x) (if (<=.f64 y 4230155535888585/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (+.f64 x (.f64 z x)) (if (<=.f64 y 2818995464091011/562949953421312) (+.f64 (.f64 y t) x) (-.f64 x (.f64 y x)))))))
(if (<=.f64 z -2355918548127777857120510601592832) (.f64 z x) (if (<=.f64 z 282989732948937242476281856) (+.f64 (.f64 y t) x) (*.f64 z x)))
(if (<=.f64 z -1800779460405231/1099511627776) (.f64 z x) (if (<=.f64 z -480854111441613/11972621413014756705924586149611790497021399392059392) x (if (<=.f64 z -186552587112223936/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 x (neg.f64 y)) (if (<=.f64 z 139355740973474768/18446744073709551616) x (*.f64 z x)))))
(if (<=.f64 z -1800779460405231/1099511627776) (.f64 z x) (if (<=.f64 z 139355740973474768/18446744073709551616) x (.f64 z x)))
x

Outputs
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 8467140118266223/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 304999999999999998989604400299263855165440) (+.f64 x (-.f64 (.f64 y t) (.f64 t z))) (+.f64 (*.f64 y (-.f64 t x)) x))))
(if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 x (.f64 y (-.f64 t x))) (if (<=.f64 y 8467140118266223/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 304999999999999998989604400299263855165440) (+.f64 x (-.f64 (.f64 y t) (.f64 z t))) (+.f64 x (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 8467140118266223/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 304999999999999998989604400299263855165440) (+.f64 x (.f64 t (-.f64 y z))) (+.f64 (.f64 y (-.f64 t x)) x))))
(if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 x (.f64 y (-.f64 t x))) (if (<=.f64 y 8467140118266223/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 304999999999999998989604400299263855165440) (+.f64 x (.f64 (-.f64 y z) t)) (+.f64 x (.f64 y (-.f64 t x))))))
(if (<=.f64 t -1721389889710204/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t 5398712138168857/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (+.f64 x (.f64 x (-.f64 z y))) (+.f64 x (*.f64 t (-.f64 y z)))))
(if (<=.f64 t -430347472427551/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 x (.f64 (-.f64 y z) t)) (if (<=.f64 t 5398712138168857/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (+.f64 x (.f64 x (-.f64 z y))) (+.f64 x (*.f64 (-.f64 y z) t))))
(if (<=.f64 t -1721389889710204/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t -7149999141120421/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (+.f64 x (.f64 z x)) (if (<=.f64 t -1186123166355351552/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t 5398712138168857/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (-.f64 x (.f64 y x)) (+.f64 x (*.f64 t (-.f64 y z)))))))
(if (<=.f64 t -430347472427551/6739986666787659948666753771754907668409286105635143120275902562304) (+.f64 x (.f64 (-.f64 y z) t)) (if (<=.f64 t -7149999141120421/10032913020226237310869197622070557910061530690809581488606035047662224110216294903018315384440590765432325303757053790498770584583633048750167493382743608188543746320969475933440520778435368952314936164352) (+.f64 x (.f64 x z)) (if (<=.f64 t -579161702321949/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072) (+.f64 x (.f64 (-.f64 y z) t)) (if (<=.f64 t 5398712138168857/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (-.f64 x (.f64 x y)) (+.f64 x (*.f64 (-.f64 y z) t))))))
(if (<=.f64 y -1849999999999999885896617198243637275580694528) (+.f64 (.f64 y t) x) (if (<=.f64 y -40206371703873232/18446744073709551616) (-.f64 x (.f64 y x)) (if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 (.f64 y t) x) (if (<=.f64 y 4340797048662671/22300745198530623141535718272648361505980416) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y 2818995464091011/562949953421312) (+.f64 (.f64 y t) x) (-.f64 x (.f64 y x)))))))
(if (<=.f64 y -1849999999999999885896617198243637275580694528) (+.f64 x (.f64 y t)) (if (<=.f64 y -2512898231492077/1152921504606846976) (-.f64 x (.f64 x y)) (if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 x (.f64 y t)) (if (<=.f64 y 4340797048662671/22300745198530623141535718272648361505980416) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y 2818995464091011/562949953421312) (+.f64 x (.f64 y t)) (-.f64 x (.f64 x y)))))))
(if (<=.f64 y -1849999999999999885896617198243637275580694528) (+.f64 x (.f64 y t)) (if (<=.f64 y -2512898231492077/1152921504606846976) (-.f64 x (.f64 x y)) (if (<=.f64 y -2648944785888539/5070602400912917605986812821504) (+.f64 x (.f64 y t)) (if (<=.f64 y 4340797048662671/22300745198530623141535718272648361505980416) (-.f64 x (.f64 z t)) (if (<=.f64 y 2818995464091011/562949953421312) (+.f64 x (.f64 y t)) (-.f64 x (.f64 x y)))))))
(if (<=.f64 y -1849999999999999885896617198243637275580694528) (+.f64 (.f64 y t) x) (if (<=.f64 y -40206371703873232/18446744073709551616) (-.f64 x (.f64 y x)) (if (<=.f64 y -4045196807513118720/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 y t) x) (if (<=.f64 y 4230155535888585/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (+.f64 x (.f64 z x)) (if (<=.f64 y 2818995464091011/562949953421312) (+.f64 (.f64 y t) x) (-.f64 x (.f64 y x)))))))
(if (<=.f64 y -1849999999999999885896617198243637275580694528) (+.f64 x (.f64 y t)) (if (<=.f64 y -2512898231492077/1152921504606846976) (-.f64 x (.f64 x y)) (if (<=.f64 y -1975193753668515/3064991081731777716716694054300618367237478244367204352) (+.f64 x (.f64 y t)) (if (<=.f64 y 4230155535888585/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (+.f64 x (.f64 x z)) (if (<=.f64 y 2818995464091011/562949953421312) (+.f64 x (.f64 y t)) (-.f64 x (.f64 x y)))))))
(if (<=.f64 z -2355918548127777857120510601592832) (.f64 z x) (if (<=.f64 z 282989732948937242476281856) (+.f64 (.f64 y t) x) (*.f64 z x)))
(if (<=.f64 z -2355918548127777857120510601592832) (.f64 x z) (if (<=.f64 z 282989732948937242476281856) (+.f64 x (.f64 y t)) (*.f64 x z)))
(if (<=.f64 z -1800779460405231/1099511627776) (.f64 z x) (if (<=.f64 z -480854111441613/11972621413014756705924586149611790497021399392059392) x (if (<=.f64 z -186552587112223936/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 x (neg.f64 y)) (if (<=.f64 z 139355740973474768/18446744073709551616) x (*.f64 z x)))))
(if (<=.f64 z -1800779460405231/1099511627776) (.f64 x z) (if (<=.f64 z -480854111441613/11972621413014756705924586149611790497021399392059392) x (if (<=.f64 z -2914884173628499/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (.f64 x (neg.f64 y)) (if (<=.f64 z 8709733810842173/1152921504606846976) x (*.f64 x z)))))
(if (<=.f64 z -1800779460405231/1099511627776) (.f64 z x) (if (<=.f64 z 139355740973474768/18446744073709551616) x (.f64 z x)))
(if (<=.f64 z -1800779460405231/1099511627776) (.f64 x z) (if (<=.f64 z 8709733810842173/1152921504606846976) x (.f64 x z)))
x

end108.0ms (1.2%)

Stop Event

1×

fuel

Compiler

Compiled 708 to 309 computations (56.4% saved)

Iter	Nodes	Cost
0	9	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	9	228
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	360	160
7	439	160
8	508	160
9	514	160

Iter	Nodes	Cost
0	9	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	9	228
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	360	160
7	439	160
8	508	160
9	514	160

Iter	Nodes	Cost
0	9	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	9	228
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	360	160
7	439	160
8	508	160
9	514	160