Details

analyze516.0ms (2.8%)

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)

sample1.3s (7.3%)

Results

898.0ms	8256×	body	256	valid
426.0ms	3913×	body	256	invalid

preprocess70.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

832×	`unsub-neg_binary64`
438×	`+-commutative_binary64`
318×	`associate--r-_binary64`
308×	`distribute-rgt-in_binary64`
286×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	91
1	56	77
2	162	77
3	608	77
4	2577	77
5	4316	77
6	7121	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)

simplify264.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2262×	`fma-neg_binary64`
697×	`fma-def_binary64`
683×	`unsub-neg_binary64`
303×	`distribute-rgt-in_binary64`
280×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	11
2	37	11
3	123	11
4	471	11
5	1557	11
6	3034	11
7	4148	11
8	5180	11
9	5438	11
10	5449	11
11	5449	11
12	5491	11
13	5491	11
14	5491	11
15	7765	11
16	7765	11
17	7765	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

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 25 to 15 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 8 computations (73.3% saved)

series10.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite72.0ms (0.4%)

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	3231	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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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 expm1.f64 (log1p.f64 (.f64 (-.f64 y z) (-.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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 -.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 expm1.f64 (log1p.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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)))))

simplify319.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2719×	`fma-neg_binary64`
401×	`unsub-neg_binary64`
314×	`fma-def_binary64`
292×	`associate-+l-_binary64`
276×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1500
1	105	1169
2	241	935
3	740	929
4	1834	929
5	3843	929
6	4481	929
7	4671	929
8	4709	929
9	4709	929
10	5045	929
11	5088	929
12	5088	929
13	7108	929
14	7108	929
15	7108	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 z (neg.f64 (-.f64 t x)))
(*.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 z (neg.f64 (-.f64 t x)))
(*.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 z (neg.f64 (-.f64 t x)))
(*.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))
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(*.f64 (-.f64 t x) (-.f64 y z))
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(fma.f64 -1 (.f64 z (-.f64 t x)) (.f64 (-.f64 t x) y))
(*.f64 (-.f64 t x) (-.f64 y z))
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(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))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(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)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.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)
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(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)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(fma.f64 y (-.f64 t x) x)
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(+.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 z (neg.f64 (-.f64 t x)))
(*.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)
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(-.f64 x (*.f64 x (-.f64 y z)))
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(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)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(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)
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(-.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)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`prod-diff_binary64`
449×	`log-prod_binary64`
341×	`fma-def_binary64`
332×	`pow-prod-down_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	180	11
2	2636	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

Outputs

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

simplify289.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2702×	`fma-neg_binary64`
409×	`unsub-neg_binary64`
318×	`fma-def_binary64`
288×	`associate-+l-_binary64`
286×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	753
1	100	569
2	239	488
3	735	485
4	1817	485
5	3817	485
6	4447	485
7	4637	485
8	4675	485
9	4675	485
10	5011	485
11	5067	485
12	5067	485
13	7101	485
14	7101	485
15	7101	485

Stop Event

1×

saturated

Counts

78 → 51

Calls

Call 1

Inputs
(+.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 (-.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))))
(+.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))
(*.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)))

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

eval31.0ms (0.2%)

Compiler: Compiled 2622 to 668 computations (74.5% saved)

prune35.0ms (0.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	164	12	176
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	166	12	178

Error

Counts

178 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	25.0b	(fma.f64 z (-.f64 x t) x)
	34.5b	(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 y z) (-.f64 t x))) (-.f64 (.f64 x x) (pow.f64 (*.f64 (-.f64 y z) (-.f64 t x)) 2))))
▶	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
	28.5b	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
	24.2b	(fma.f64 (-.f64 t x) y x)
	1.0b	(+.f64 x (pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))) 3))
▶	37.7b	(*.f64 (-.f64 t x) y)
▶	34.4b	(*.f64 t (-.f64 y z))
▶	25.5b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x)) (+.f64 y z)))
	20.7b	(+.f64 x (*.f64 t (-.f64 y z)))
	38.7b	(*.f64 z (-.f64 x t))
▶	28.5b	(+.f64 x (*.f64 x (-.f64 z y)))

Compiler

Compiled 332 to 204 computations (38.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 10 computations (80% saved)

series22.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(*.f64 (-.f64 y z) (neg.f64 x))
2.0ms	y	@	inf	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
1.0ms	x	@	0	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
1.0ms	y	@	0	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
1.0ms	z	@	-inf	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`fma-def_binary64`
636×	`log-prod_binary64`
401×	`fma-neg_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	258	35
2	4138	35

Stop Event

1×	node limit

Counts

4 → 324

Calls

Call 1

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

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

simplify224.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2390×	`fma-neg_binary64`
863×	`fma-def_binary64`
533×	`associate-+l-_binary64`
525×	`sub-neg_binary64`
492×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	2191
1	210	1843
2	539	1481
3	1520	1409
4	3874	1409
5	4723	1409
6	4962	1409
7	4974	1409
8	4974	1409
9	5609	1409
10	5969	1409
11	5969	1409

Stop Event

1×	node limit

Counts

492 → 370

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite51.0ms (0.3%)

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	1784	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 log1p.f64 (expm1.f64 (*.f64 t (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (-.f64 y z))))))))

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
43×	`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	579	156
9	733	156
10	747	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 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 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 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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.3%)

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	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

202×	`fma-def_binary64`
124×	`fma-neg_binary64`
43×	`cancel-sign-sub-inv_binary64`
35×	`distribute-rgt-in_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	330
1	22	240
2	40	240
3	61	240
4	92	240
5	158	240
6	287	240
7	420	240
8	598	240
9	736	240
10	748	240

Stop Event

1×

saturated

Counts

55 → 25

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series9.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite60.0ms (0.3%)

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	2406	15

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

((#(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 log1p.f64 (expm1.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 -.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 expm1.f64 (log1p.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 exp.f64 (log.f64 (fma.f64 x (-.f64 z y) x)))))) (#(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)))))))

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
243×	`fma-neg_binary64`
110×	`distribute-rgt-in_binary64`
103×	`unsub-neg_binary64`
101×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	573
1	62	572
2	138	512
3	322	512
4	708	512
5	1427	512
6	1955	512
7	1959	512

Stop Event

1×

saturated

Counts

129 → 70

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x)) (+.f64 y z)))
✓	0.7b	(-.f64 (.f64 y y) (.f64 z z))
✓	5.6b	(.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x))
✓	22.4b	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x)) (+.f64 y z))

Compiler

Compiled 70 to 12 computations (82.9% saved)

series44.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x)) (+.f64 y z))
3.0ms	y	@	inf	(.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x))
2.0ms	t	@	0	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x)) (+.f64 y z))
2.0ms	z	@	0	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x)) (+.f64 y z))
2.0ms	y	@	inf	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) (-.f64 t x)) (+.f64 y z))

rewrite259.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`fma-def_binary64`
415×	`fma-neg_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`
239×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	312	49
2	5058	47

Stop Event

1×	node limit

Counts

4 → 352

Calls

Call 1

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

Outputs
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exp.f64 (.f64 (log.f64 (*.f64 (-.f64 y z) (-.f64 t x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 t x)) (.f64 (fma.f64 z (neg.f64 z) (.f64 z z)) (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 t x)) (.f64 (-.f64 t x) (fma.f64 z (neg.f64 z) (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 t (-.f64 (.f64 y y) (.f64 z z))) (.f64 (neg.f64 x) (-.f64 (.f64 y y) (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y y) (-.f64 t x)) (.f64 (.f64 z (neg.f64 z)) (-.f64 t x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 y y) (.f64 z z)) t) (.f64 (-.f64 (.f64 y y) (.f64 z z)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 t x) (.f64 y y)) (.f64 (-.f64 t x) (.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 t x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 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simplify207.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
450×	`unsub-neg_binary64`
393×	`associate-+l+_binary64`
354×	`sub-neg_binary64`
321×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	3815
1	478	3271
2	1447	2530
3	6177	2269

Stop Event

1×	node limit

Counts

520 → 425

Calls

Call 1

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

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

eval580.0ms (3.2%)

Compiler: Compiled 19329 to 4842 computations (74.9% saved)

prune237.0ms (1.3%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	900	15	915
Fresh	6	1	7
Picked	1	0	1
Done	2	2	4
Total	909	18	927

Error

Counts

927 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	25.6b	(+.f64 x (.f64 (/.f64 1 (+.f64 y z)) (.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 t x))))
	34.9b	(pow.f64 (cbrt.f64 (*.f64 t (-.f64 y z))) 3)
	20.7b	(+.f64 x (/.f64 t (/.f64 1 (-.f64 y z))))
	38.3b	(+.f64 (*.f64 z x) x)
▶	47.6b	(*.f64 y t)
	39.1b	(*.f64 x (-.f64 1 y))
▶	0.0b	(+.f64 x (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 (-.f64 y z) t)))
▶	38.7b	(*.f64 z (-.f64 x t))
✓	37.7b	(*.f64 (-.f64 t x) y)
	52.4b	(*.f64 x (neg.f64 y))
	28.6b	(-.f64 x (/.f64 x (/.f64 1 (-.f64 y z))))
	28.5b	(*.f64 (-.f64 (+.f64 1 z) y) x)
✓	34.4b	(*.f64 t (-.f64 y z))
	39.1b	(+.f64 x (*.f64 x (neg.f64 y)))
▶	20.7b	(+.f64 x (*.f64 t (-.f64 y z)))
▶	25.0b	(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (*.f64 z x) x))
	49.4b	(*.f64 t (neg.f64 z))
	37.7b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))

Compiler

Compiled 392 to 264 computations (32.7% saved)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 9 computations (79.5% saved)

series15.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`log-prod_binary64`
419×	`fma-def_binary64`
398×	`pow-prod-down_binary64`
287×	`pow2_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	222	31
2	3238	29

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)))) (/.f64 (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 2) (-.f64 x (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))) 2) (cbrt.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))) (sqrt.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 3)) (/.f64 1 (fma.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) (-.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 2)) (/.f64 1 (-.f64 x (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) (-.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 3)) (fma.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) (-.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 2) (-.f64 (*.f64 x x) (*.f64 x (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 2)) (-.f64 x (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) 3))) (neg.f64 (fma.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) (-.f64 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)) x) 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 y z) (fma.f64 (-.f64 y z) t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 x (-.f64 y z) (*.f64 (-.f64 y z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) x (fma.f64 (-.f64 y z) t x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (-.f64 y z) 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simplify368.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2374×	`fma-neg_binary64`
757×	`fma-def_binary64`
542×	`unsub-neg_binary64`
504×	`associate-+l-_binary64`
494×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1534
1	201	1219
2	507	1001
3	1388	929
4	3546	929
5	4588	929
6	4828	929
7	4857	929
8	4857	929
9	5485	929
10	5792	929
11	5792	929
12	7934	929
13	7934	929
14	7934	929

Stop Event

1×

saturated

Counts

190 → 129

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(*.f64 z (-.f64 x t))
1.0ms	z	@	0	(*.f64 z (-.f64 x t))
0.0ms	z	@	inf	(*.f64 z (-.f64 x t))
0.0ms	x	@	-inf	(*.f64 z (-.f64 x t))
0.0ms	t	@	inf	(*.f64 z (-.f64 x t))

rewrite69.0ms (0.4%)

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	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	575	156
9	729	156
10	743	156

Stop Event

1×

saturated

Counts

43 → 24

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))

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`log-prod_binary64`
404×	`prod-exp_binary64`
369×	`fma-def_binary64`
341×	`exp-prod_binary64`
338×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	178	8
2	2616	8

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify150.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

285×	`fma-neg_binary64`
284×	`fma-def_binary64`
88×	`cancel-sign-sub-inv_binary64`
51×	`distribute-rgt-in_binary64`
45×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	345
1	34	344
2	61	344
3	104	344
4	157	344
5	263	344
6	506	344
7	759	344
8	1006	344
9	1214	344
10	1232	344

Stop Event

1×

saturated

Counts

113 → 77

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 13 computations (62.9% saved)

series6.0ms (0%)

Counts

2 → 42

Calls

15 calls:

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

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`fma-def_binary64`
550×	`log-prod_binary64`
416×	`pow-prod-down_binary64`
406×	`fma-neg_binary64`
277×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	222	16
2	3316	14

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

340×	`fma-def_binary64`
254×	`fma-neg_binary64`
59×	`cancel-sign-sub-inv_binary64`
54×	`unsub-neg_binary64`
46×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	281
1	72	261
2	158	261
3	336	261
4	681	261
5	1091	261
6	1256	261
7	1281	261
8	1282	261

Stop Event

1×

saturated

Counts

226 → 199

Calls

Call 1

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

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

eval133.0ms (0.7%)

Compiler: Compiled 7097 to 2134 computations (69.9% saved)

prune138.0ms (0.8%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	474	9	483
Fresh	3	8	11
Picked	1	0	1
Done	2	4	6
Total	480	21	501

Error

Counts

501 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	25.6b	(+.f64 x (.f64 (/.f64 1 (+.f64 y z)) (.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 t x))))
	34.9b	(pow.f64 (cbrt.f64 (*.f64 t (-.f64 y z))) 3)
	20.7b	(+.f64 x (/.f64 t (/.f64 1 (-.f64 y z))))
✓	47.6b	(*.f64 y t)
	48.9b	x
	38.7b	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
	52.4b	(*.f64 x (neg.f64 y))
▶	28.6b	(-.f64 x (/.f64 x (/.f64 1 (-.f64 y z))))
▶	28.5b	(+.f64 (*.f64 (-.f64 z y) x) x)
	49.4b	(*.f64 z (neg.f64 t))
	33.9b	(+.f64 (*.f64 y t) x)
✓	34.4b	(*.f64 t (-.f64 y z))
	35.9b	(+.f64 x (*.f64 t (neg.f64 z)))
	39.1b	(+.f64 x (*.f64 x (neg.f64 y)))
✓	38.7b	(*.f64 z (-.f64 x t))
✓	37.7b	(*.f64 (-.f64 t x) y)
	39.1b	(*.f64 x (-.f64 1 y))
▶	51.9b	(*.f64 z x)
▶	38.3b	(*.f64 (+.f64 1 z) x)
▶	15.2b	(+.f64 x (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 t (neg.f64 z))))
	37.7b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))

Compiler

Compiled 403 to 277 computations (31.3% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 43 to 10 computations (76.7% saved)

series34.0ms (0.2%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
27.0ms	z	@	0	(fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 t (neg.f64 z)))
0.0ms	y	@	0	(+.f64 x (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 t (neg.f64 z))))
0.0ms	x	@	0	(+.f64 x (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 t (neg.f64 z))))
0.0ms	x	@	inf	(+.f64 x (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 t (neg.f64 z))))
0.0ms	z	@	inf	(+.f64 x (fma.f64 (neg.f64 (-.f64 y z)) x (*.f64 t (neg.f64 z))))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
383×	`pow-prod-down_binary64`
373×	`fma-def_binary64`
281×	`pow2_binary64`
194×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	244	25
2	3612	23

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1046×	`fma-neg_binary64`
378×	`fma-def_binary64`
181×	`unsub-neg_binary64`
174×	`cancel-sign-sub-inv_binary64`
173×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	1401
1	146	1133
2	357	1133
3	841	1133
4	1850	1133
5	3230	1133
6	3368	1133
7	3373	1133
8	3373	1133
9	3797	1133
10	3797	1133

Stop Event

1×

saturated

Counts

187 → 122

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 z) x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1520	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	54
1	11	54
2	16	54
3	22	54
4	28	54
5	41	54
6	45	54
7	47	54

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

18 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`pow1_binary64`
918×	`add-log-exp_binary64`
917×	`log1p-expm1-u_binary64`
917×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	162	15
2	2453	15

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
237×	`fma-neg_binary64`
111×	`distribute-rgt-in_binary64`
103×	`unsub-neg_binary64`
101×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	603
1	59	488
2	137	428
3	328	428
4	715	428
5	1434	428
6	1961	428
7	1965	428

Stop Event

1×

saturated

Counts

119 → 73

Calls

Call 1

Inputs
(.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)))
(+.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 (+.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))

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 15 computations (53.1% saved)

series16.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	(/.f64 1 (-.f64 y z))
1.0ms	y	@	inf	(/.f64 1 (-.f64 y z))
1.0ms	y	@	0	(/.f64 1 (-.f64 y z))
0.0ms	z	@	inf	(/.f64 1 (-.f64 y z))
0.0ms	z	@	-inf	(/.f64 1 (-.f64 y z))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`prod-diff_binary64`
515×	`log-prod_binary64`
354×	`fma-def_binary64`
279×	`pow2_binary64`
190×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	207	24
2	3111	24

Stop Event

1×	node limit

Counts

3 → 241

Calls

Call 1

Inputs
(/.f64 x (/.f64 1 (-.f64 y z)))
(-.f64 x (/.f64 x (/.f64 1 (-.f64 y z))))
(/.f64 1 (-.f64 y z))

Outputs

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

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-neg_binary64`
749×	`associate-/l*_binary64`
686×	`fma-def_binary64`
630×	`associate-/r*_binary64`
395×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	1077
1	176	1058
2	490	950
3	1648	908

Stop Event

1×	node limit

Counts

337 → 271

Calls

Call 1

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

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

eval126.0ms (0.7%)

Compiler: Compiled 9577 to 3012 computations (68.5% saved)

prune166.0ms (0.9%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	485	4	489
Fresh	4	8	12
Picked	0	1	1
Done	1	7	8
Total	490	20	510

Error

Counts

510 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	25.6b	(+.f64 x (.f64 (/.f64 1 (+.f64 y z)) (.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 t x))))
	34.9b	(pow.f64 (cbrt.f64 (*.f64 t (-.f64 y z))) 3)
	20.7b	(+.f64 x (/.f64 t (/.f64 1 (-.f64 y z))))
✓	47.6b	(*.f64 y t)
	39.1b	(-.f64 x (*.f64 y x))
✓	28.6b	(-.f64 x (/.f64 x (/.f64 1 (-.f64 y z))))
✓	28.5b	(+.f64 (*.f64 (-.f64 z y) x) x)
	49.4b	(*.f64 z (neg.f64 t))
	33.9b	(+.f64 (*.f64 y t) x)
✓	34.4b	(*.f64 t (-.f64 y z))
	15.2b	(-.f64 x (fma.f64 x (-.f64 y z) (*.f64 t z)))
	35.9b	(+.f64 x (*.f64 t (neg.f64 z)))
✓	38.7b	(*.f64 z (-.f64 x t))
✓	37.7b	(*.f64 (-.f64 t x) y)
	48.9b	x
	38.7b	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
✓	51.9b	(*.f64 z x)
	52.4b	(*.f64 y (neg.f64 x))
✓	38.3b	(*.f64 (+.f64 1 z) x)
	37.7b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))

Compiler

Compiled 209 to 142 computations (32.1% saved)

regimes171.0ms (0.9%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

6 calls:

40.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
25.0ms	y
23.0ms	x
22.0ms	(-.f64 y z)
21.0ms	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 366 to 132 computations (63.9% saved)

regimes210.0ms (1.1%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	x
33.0ms	(-.f64 y z)
32.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
32.0ms	y
32.0ms	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 278 to 109 computations (60.8% saved)

regimes319.0ms (1.7%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

6 calls:

126.0ms	y
80.0ms	x
52.0ms	z
17.0ms	t
16.0ms	(-.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 216 to 92 computations (57.4% saved)

regimes1.5s (8.1%)

Counts

28 → 5

Calls

Call 1

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

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

Calls

6 calls:

374.0ms	(-.f64 y z)
333.0ms	(-.f64 y z)
321.0ms	y
196.0ms	t
179.0ms	z

Results

Error	Segments	Branch
9.9b	3	`x`
10.7b	4	`y`
13.4b	3	`z`
8.1b	5	`t`
14.2b	8	`(-.f64 y z)`
14.2b	8	`(-.f64 y z)`

Compiler

Compiled 190 to 83 computations (56.3% saved)

bsearch216.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
36.0ms	2.4112263516040276e-94	2.8578186823382596e-93
31.0ms	-2.501562771751601e-127	-3.2382065393645955e-129
113.0ms	-4.043733290272684e-84	-3.652592478288293e-90
37.0ms	-1.8634304916030509e-13	-7.039040487276624e-19

Compiler

Compiled 20 to 14 computations (30% saved)

regimes1.5s (8%)

Counts

21 → 7

Calls

Call 1

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

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

Calls

6 calls:

438.0ms	t
366.0ms	(-.f64 y z)
294.0ms	(-.f64 y z)
161.0ms	y
143.0ms	z

Results

Error	Segments	Branch
12.7b	3	`x`
14.1b	4	`y`
14.8b	5	`z`
11.5b	7	`t`
15.3b	12	`(-.f64 y z)`
15.3b	12	`(-.f64 y z)`

Compiler

Compiled 133 to 65 computations (51.1% saved)

bsearch462.0ms (2.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
46.0ms	9.751147846242511e-67	4.676433605406361e-65
206.0ms	-2.501562771751601e-127	-3.2382065393645955e-129
42.0ms	-4.043733290272684e-84	-3.652592478288293e-90
23.0ms	-1.8634304916030509e-13	-7.039040487276624e-19
19.0ms	-396863541848.92395	-1779597157.1859493
126.0ms	-3.818021561873065e+75	-1.8290726262579014e+68

Compiler

Compiled 218 to 149 computations (31.7% saved)

regimes1.2s (6.3%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

6 calls:

437.0ms	(-.f64 y z)
356.0ms	(-.f64 y z)
159.0ms	t
78.0ms	x
50.0ms	z

Results

Error	Segments	Branch
16.1b	7	`x`
14.1b	4	`y`
14.9b	5	`z`
17.6b	8	`t`
16.4b	10	`(-.f64 y z)`
16.4b	10	`(-.f64 y z)`

Compiler

Compiled 119 to 58 computations (51.3% saved)

bsearch95.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	9.693468110927702e+21	3.317163831141553e+22
52.0ms	1.168536305781518e-79	7.985480372912337e-77
24.0ms	-6.117468417710365e+31	-1.406605600899239e+22

Compiler

Compiled 20 to 14 computations (30% saved)

regimes1.2s (6.7%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

6 calls:

318.0ms	(-.f64 y z)
272.0ms	z
213.0ms	t
178.0ms	y
161.0ms	(-.f64 y z)

Results

Error	Segments	Branch
16.1b	7	`x`
15.1b	9	`y`
14.9b	5	`z`
17.6b	8	`t`
16.4b	10	`(-.f64 y z)`
16.4b	10	`(-.f64 y z)`

Compiler

Compiled 107 to 56 computations (47.7% saved)

bsearch162.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	4.8015766641206366e+110	2.4529006004616905e+114
68.0ms	6.303397790622045e+78	2.569267831430597e+80
27.0ms	2.5867379082486357e-32	9.473462022323226e-32
19.0ms	-3.6248184983166162e-6	-5.59904563625452e-17

Compiler

Compiled 320 to 224 computations (30% saved)

regimes257.0ms (1.4%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

4 calls:

109.0ms	y
63.0ms	t
48.0ms	x
34.0ms	z

Results

Error	Segments	Branch
22.5b	6	`x`
22.2b	10	`y`
15.9b	3	`z`
23.4b	7	`t`

Compiler

Compiled 78 to 42 computations (46.2% saved)

bsearch42.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.5867379082486357e-32	9.473462022323226e-32
21.0ms	-3.6248184983166162e-6	-5.59904563625452e-17

Compiler

Compiled 20 to 14 computations (30% saved)

regimes188.0ms (1%)

Counts

13 → 7

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	t
47.0ms	y
43.0ms	z
33.0ms	x

Results

Error	Segments	Branch
24.7b	5	`x`
25.0b	6	`y`
24.9b	5	`z`
23.4b	7	`t`

Compiler

Compiled 73 to 40 computations (45.2% saved)

bsearch234.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
115.0ms	2.3264207535386067e+67	8.902877968883539e+70
19.0ms	1.0211797162069412e-91	3.910063926466699e-91
19.0ms	2.6268324697022955e-229	1.1198903870046004e-219
23.0ms	-2.501562771751601e-127	-3.2382065393645955e-129
34.0ms	-6.1253058092683645e-61	-2.1097512925774977e-69
24.0ms	-1.8634304916030509e-13	-7.039040487276624e-19

Compiler

Compiled 172 to 126 computations (26.7% saved)

regimes158.0ms (0.9%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	y
42.0ms	z
30.0ms	t
28.0ms	x

Results

Error	Segments	Branch
26.5b	5	`x`
27.5b	8	`y`
24.1b	6	`z`
26.6b	4	`t`

Compiler

Compiled 58 to 33 computations (43.1% saved)

bsearch276.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
61.0ms	2.569267831430597e+80	4.219425752168548e+81
18.0ms	2.5867379082486357e-32	9.473462022323226e-32
19.0ms	-6.393020503804921e-21	-4.2639266358459603e-38
19.0ms	-27333242142430776.0	-652112793157.9822
159.0ms	-1.1021249173541784e+52	-8.899235833141029e+46

Compiler

Compiled 292 to 222 computations (24% saved)

regimes181.0ms (1%)

Counts

9 → 11

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	z
53.0ms	y
38.0ms	t
23.0ms	x

Results

Error	Segments	Branch
28.8b	4	`x`
29.8b	9	`y`
25.3b	11	`z`
30.0b	7	`t`

Compiler

Compiled 53 to 32 computations (39.6% saved)

bsearch633.0ms (3.5%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
93.0ms	2.8551886865131514e+85	3.597191157939357e+86
136.0ms	6.303397790622045e+78	2.569267831430597e+80
35.0ms	974.1585910149532	305776.41932169726
36.0ms	8.287880415110765e-250	5.415722196431918e-248
36.0ms	6.285836421106061e-279	1.178728292582594e-276
35.0ms	-1.9953223320530253e-275	-2.063930335436201e-276
36.0ms	-5.707731469368165e-249	-1.63122444562747e-257
29.0ms	-4.2639266358459603e-38	-8.692184014163234e-41
35.0ms	-27333242142430776.0	-652112793157.9822
161.0ms	-1.1021249173541784e+52	-8.899235833141029e+46

Compiler

Compiled 401 to 307 computations (23.4% saved)

regimes352.0ms (1.9%)

Counts

8 → 9

Calls

Call 1

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

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

Calls

4 calls:

117.0ms	z
105.0ms	y
73.0ms	t
53.0ms	x

Results

Error	Segments	Branch
34.2b	5	`x`
30.1b	9	`y`
32.2b	10	`z`
35.5b	7	`t`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch214.0ms (1.2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
77.0ms	7.153089959207463e+72	4.87000925373186e+74
18.0ms	3.725795680363493e+22	2.4974255933051184e+23
18.0ms	1.168536305781518e-79	7.985480372912337e-77
18.0ms	5.603206918980996e-144	1.3101009616331597e-142
19.0ms	1.672665252247644e-296	2.502957570320874e-293
18.0ms	-2.0783798613577392e-256	-8.666696001252821e-257
19.0ms	-1.8046586632987013e-236	-1.6706993835219422e-238
27.0ms	-1.0929092677532016e-17	-9.063480212144858e-23

Compiler

Compiled 139 to 105 computations (24.5% saved)

regimes90.0ms (0.5%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	t
24.0ms	y
20.0ms	z
15.0ms	x

Results

Error	Segments	Branch
36.2b	4	`x`
33.2b	5	`y`
36.6b	5	`z`
36.5b	7	`t`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch127.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
74.0ms	7.153089959207463e+72	4.87000925373186e+74
18.0ms	3.725795680363493e+22	2.4974255933051184e+23
18.0ms	1.168536305781518e-79	7.985480372912337e-77
18.0ms	-1.0929092677532016e-17	-9.063480212144858e-23

Compiler

Compiled 139 to 105 computations (24.5% saved)

regimes71.0ms (0.4%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	t
18.0ms	z
17.0ms	x
14.0ms	y

Results

Error	Segments	Branch
37.3b	5	`x`
35.8b	4	`y`
36.6b	5	`z`
37.8b	6	`t`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch54.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
18.0ms	3.725795680363493e+22	2.4974255933051184e+23
18.0ms	1.168536305781518e-79	7.985480372912337e-77
18.0ms	-1.0929092677532016e-17	-9.063480212144858e-23

Compiler

Compiled 20 to 14 computations (30% saved)

regimes43.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 z x)

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

Calls

4 calls:

12.0ms	t
10.0ms	z
10.0ms	y
10.0ms	x

Results

Error	Segments	Branch
47.2b	3	`x`
44.2b	3	`y`
38.6b	3	`z`
46.7b	3	`t`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.3860898821604816e-28	974.1585910149532
18.0ms	-3.6248184983166162e-6	-5.59904563625452e-17

Compiler

Compiled 20 to 14 computations (30% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

4 calls:

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

Results

Error	Segments	Branch
48.9b	1	`x`
48.9b	1	`y`
48.9b	1	`z`
48.9b	1	`t`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

111×	`distribute-rgt-neg-in_binary64`
99×	`cancel-sign-sub-inv_binary64`
72×	`distribute-lft-neg-in_binary64`
72×	`distribute-lft-neg-out_binary64`
72×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	166	798
1	212	794
2	242	794
3	259	794
4	278	794
5	303	794
6	337	794
7	381	794
8	436	794
9	563	794
10	714	794
11	848	794
12	968	794
13	1019	794
14	1027	794

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y z) (-.f64 t x) x)
(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 t -14763617382276200/79228162514264337593543950336) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t -4422329284989061/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (.f64 (-.f64 z y) x) x) (if (<=.f64 t -780924995624001536/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t 566286776344845/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (+.f64 (.f64 (-.f64 z y) x) x) (+.f64 x (*.f64 t (-.f64 y z)))))))
(if (<=.f64 t -3800000000000000243106032854800395460471132228635823791314029374573048233984) (.f64 t (-.f64 y z)) (if (<=.f64 t -3251106134826385/8192) (+.f64 (.f64 (-.f64 z y) x) x) (if (<=.f64 t -14763617382276200/79228162514264337593543950336) (+.f64 (.f64 y t) x) (if (<=.f64 t -4422329284989061/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (.f64 (-.f64 z y) x) x) (if (<=.f64 t -780924995624001536/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (.f64 y t) x) (if (<=.f64 t 462481728134503/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (+.f64 (.f64 (-.f64 z y) x) x) (*.f64 t (-.f64 y z))))))))
(if (<=.f64 y -61174684177103650192660390477824) (.f64 (-.f64 t x) y) (if (<=.f64 y 249597840015223488/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (+.f64 x (.f64 t (neg.f64 z))) (if (<=.f64 y 9693468110927702261760) (.f64 z (-.f64 x t)) (.f64 (-.f64 t x) y))))
(if (<=.f64 z -4279430345734067/1180591620717411303424) (.f64 z (-.f64 x t)) (if (<=.f64 z 37805216882512960/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 y t) x) (if (<=.f64 z 6399999999999999889808721443493494831855849261697017443454407693939913862938624) (.f64 z (-.f64 x t)) (if (<=.f64 z 2400000000000000037342598710720423258243683352610547440087449393034001074795413687835964935796113874422895074082816) (.f64 (-.f64 t x) y) (*.f64 z (-.f64 x t))))))
(if (<=.f64 z -4279430345734067/1180591620717411303424) (.f64 z (-.f64 x t)) (if (<=.f64 z 37805216882512960/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 y t) x) (*.f64 z (-.f64 x t))))
(if (<=.f64 t -14763617382276200/79228162514264337593543950336) (+.f64 (.f64 y t) x) (if (<=.f64 t -70926195687265376/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (+.f64 1 z) x) (if (<=.f64 t -780924995624001536/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (.f64 y t) x) (if (<=.f64 t 3587226996885983/13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866048) (.f64 (+.f64 1 z) x) (if (<=.f64 t 1873659412638203/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (-.f64 x (.f64 y x)) (if (<=.f64 t 88000000000000000252784238111017257668548839447657197610646004947746816) (+.f64 (.f64 y t) x) (*.f64 z (neg.f64 t))))))))
(if (<=.f64 z -90000000000000001917884913691690719522339160064) (.f64 z (neg.f64 t)) (if (<=.f64 z -27333242142430776) (.f64 z x) (if (<=.f64 z -2175432148808828928/340282366920938463463374607431768211456) (.f64 z (neg.f64 t)) (if (<=.f64 z 37805216882512960/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 y t) x) (if (<=.f64 z 4199999999999999711508812229219162195296324719516745105160030701536513925129961472) (.f64 z (neg.f64 t)) (.f64 z x))))))
(if (<=.f64 z -90000000000000001917884913691690719522339160064) (.f64 z (neg.f64 t)) (if (<=.f64 z -27333242142430776) (.f64 z x) (if (<=.f64 z -8168060695016531/191561942608236107294793378393788647952342390272950272) (.f64 z (neg.f64 t)) (if (<=.f64 z -5751349106708787/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) (-.f64 x (.f64 y x)) (if (<=.f64 z -3111206828770507/155925024182399985285654118206003012974019629721520120429886503315407179052262817639449841054112164147604878659702538690935346717843249504745247796741002454712500443199303568477932634487840858373644793495667494061978969566806317999131941817847503449805243820849668440753309257439870625775616) (.f64 y t) (if (<=.f64 z 8029136453366359/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272) (-.f64 x (.f64 y x)) (if (<=.f64 z 1670243033603441/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (.f64 y t) (if (<=.f64 z 8568789584950607/8796093022208) (-.f64 x (.f64 y x)) (if (<=.f64 z 6399999999999999889808721443493494831855849261697017443454407693939913862938624) (.f64 z (neg.f64 t)) (if (<=.f64 z 350000000000000018924236024317333135709026770306680175649731719850201837812950323167232) (.f64 y (neg.f64 x)) (*.f64 z x)))))))))))
(if (<=.f64 y -443336668563949/40564819207303340847894502572032) (.f64 y t) (if (<=.f64 y -4134675685108397/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368) x (if (<=.f64 y -7027178972017893/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504) (.f64 z (neg.f64 t)) (if (<=.f64 y 6158210746139307/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) x (if (<=.f64 y 4923504863570993/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 z (neg.f64 t)) (if (<=.f64 y 249597840015223488/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) x (if (<=.f64 y 37257956803634928812032) (.f64 z x) (if (<=.f64 y 480000000000000016964581403128159438397993544383529167857667579435341053952) (.f64 y t) (.f64 y (neg.f64 x))))))))))
(if (<=.f64 y -443336668563949/40564819207303340847894502572032) (.f64 y t) (if (<=.f64 y 249597840015223488/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) x (if (<=.f64 y 37257956803634928812032) (.f64 z x) (if (<=.f64 y 480000000000000016964581403128159438397993544383529167857667579435341053952) (.f64 y t) (.f64 y (neg.f64 x))))))
(if (<=.f64 y -443336668563949/40564819207303340847894502572032) (.f64 y t) (if (<=.f64 y 249597840015223488/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) x (if (<=.f64 y 37257956803634928812032) (.f64 z x) (*.f64 y t))))
(if (<=.f64 z -4279430345734067/1180591620717411303424) (.f64 z x) (if (<=.f64 z 2660579124142643/11150372599265311570767859136324180752990208) x (.f64 z x)))
x

Outputs
(fma.f64 (-.f64 y z) (-.f64 t x) x)
(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
(+.f64 x (+.f64 (.f64 (-.f64 y z) (neg.f64 x)) (.f64 (-.f64 y z) t)))
(+.f64 x (-.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) x)))
(+.f64 x (+.f64 (.f64 x (-.f64 z y)) (.f64 (-.f64 y z) t)))
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 t -14763617382276200/79228162514264337593543950336) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t -4422329284989061/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (.f64 (-.f64 z y) x) x) (if (<=.f64 t -780924995624001536/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 t 566286776344845/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (+.f64 (.f64 (-.f64 z y) x) x) (+.f64 x (*.f64 t (-.f64 y z)))))))
(if (<=.f64 t -1845452172784525/9903520314283042199192993792) (+.f64 x (.f64 (-.f64 y z) t)) (if (<=.f64 t -4422329284989061/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 x (.f64 x (-.f64 z y))) (if (<=.f64 t -95327758254883/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (+.f64 x (.f64 (-.f64 y z) t)) (if (<=.f64 t 566286776344845/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (+.f64 x (.f64 x (-.f64 z y))) (+.f64 x (*.f64 (-.f64 y z) t))))))
(if (<=.f64 t -3800000000000000243106032854800395460471132228635823791314029374573048233984) (.f64 t (-.f64 y z)) (if (<=.f64 t -3251106134826385/8192) (+.f64 (.f64 (-.f64 z y) x) x) (if (<=.f64 t -14763617382276200/79228162514264337593543950336) (+.f64 (.f64 y t) x) (if (<=.f64 t -4422329284989061/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (.f64 (-.f64 z y) x) x) (if (<=.f64 t -780924995624001536/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (.f64 y t) x) (if (<=.f64 t 462481728134503/474284397516047136454946754595585670566993857190463750305618264096412179005177856) (+.f64 (.f64 (-.f64 z y) x) x) (*.f64 t (-.f64 y z))))))))
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(if (<=.f64 z -4279430345734067/1180591620717411303424) (.f64 z x) (if (<=.f64 z 2660579124142643/11150372599265311570767859136324180752990208) x (.f64 z x)))
x

Compiler

Compiled 614 to 315 computations (48.7% saved)

soundness583.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2262×	`fma-neg_binary64`
697×	`fma-def_binary64`
683×	`unsub-neg_binary64`
303×	`distribute-rgt-in_binary64`
280×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	11
2	37	11
3	123	11
4	471	11
5	1557	11
6	3034	11
7	4148	11
8	5180	11
9	5438	11
10	5449	11
11	5449	11
12	5491	11
13	5491	11
14	5491	11
15	7765	11
16	7765	11
17	7765	11

Stop Event

1×

saturated

Compiler

Compiled 38 to 23 computations (39.5% saved)

end329.0ms (1.8%)

Compiler: Compiled 554 to 207 computations (62.6% saved)

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	579	156
9	733	156
10	747	156

Iter	Nodes	Cost
0	11	330
1	22	240
2	40	240
3	61	240
4	92	240
5	158	240
6	287	240
7	420	240
8	598	240
9	736	240
10	748	240

Iter	Nodes	Cost
0	9	228
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	575	156
9	729	156
10	743	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	579	156
9	733	156
10	747	156

Iter	Nodes	Cost
0	11	330
1	22	240
2	40	240
3	61	240
4	92	240
5	158	240
6	287	240
7	420	240
8	598	240
9	736	240
10	748	240

Iter	Nodes	Cost
0	9	228
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	575	156
9	729	156
10	743	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	579	156
9	733	156
10	747	156

Iter	Nodes	Cost
0	11	330
1	22	240
2	40	240
3	61	240
4	92	240
5	158	240
6	287	240
7	420	240
8	598	240
9	736	240
10	748	240

Iter	Nodes	Cost
0	9	228
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	575	156
9	729	156
10	743	156