Details

analyze318.0ms (2.1%)

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)

sample2.4s (16%)

Results

1.3s	8256×	body	256	valid
1.0s	3859×	body	256	invalid

preprocess72.0ms (0.5%)

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 (1.8%)

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)

localize13.0ms (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)

series11.0ms (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	x	@	0	(*.f64 (-.f64 y z) (-.f64 t x))

rewrite81.0ms (0.5%)

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

simplify324.0ms (2.2%)

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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(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))
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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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(-.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 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 (.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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(-.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)))
(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)

localize8.0ms (0.1%)

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)

series45.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	t	@	inf	(fma.f64 (-.f64 y z) (-.f64 t x) x)
1.0ms	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	y	@	inf	(fma.f64 (-.f64 y z) (-.f64 t x) x)
0.0ms	y	@	-inf	(fma.f64 (-.f64 y z) (-.f64 t x) x)

rewrite58.0ms (0.4%)

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))))))

simplify295.0ms (2%)

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)

prune71.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	165	11	176
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	167	11	178

Error

Counts

178 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
▶	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
	27.2b	(+.f64 x (*.f64 x (-.f64 z y)))
	39.7b	(*.f64 z (-.f64 x t))
	33.4b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))) 2))
	23.5b	(+.f64 (*.f64 y (-.f64 t x)) x)
	21.8b	(fma.f64 z (-.f64 x t) x)
▶	41.4b	(*.f64 (-.f64 t x) y)
▶	21.8b	(+.f64 x (*.f64 z (-.f64 x t)))
▶	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) (neg.f64 z))))
▶	36.0b	(*.f64 t (-.f64 y z))

Compiler

Compiled 286 to 176 computations (38.5% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 10 computations (80% saved)

series19.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite109.0ms (0.7%)

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

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

simplify250.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2392×	`fma-neg_binary64`
859×	`fma-def_binary64`
530×	`associate-+l-_binary64`
516×	`sub-neg_binary64`
494×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	2350
1	211	1843
2	540	1481
3	1513	1409
4	3844	1409
5	4694	1409
6	4935	1409
7	4947	1409
8	4947	1409
9	5582	1409
10	5935	1409
11	5935	1409

Stop Event

1×	node limit

Counts

492 → 371

Calls

Call 1

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

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

localize5.0ms (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	z	@	-inf	(*.f64 t (-.f64 y z))
0.0ms	y	@	0	(*.f64 t (-.f64 y z))
0.0ms	t	@	inf	(*.f64 t (-.f64 y z))

rewrite55.0ms (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 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))))))))

simplify28.0ms (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	@	inf	(*.f64 (-.f64 t x) y)
0.0ms	t	@	-inf	(*.f64 (-.f64 t x) y)
0.0ms	t	@	0	(*.f64 (-.f64 t x) y)
0.0ms	y	@	0	(*.f64 (-.f64 t x) y)
0.0ms	t	@	inf	(*.f64 (-.f64 t x) y)

rewrite54.0ms (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 (-.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)))))))

simplify36.0ms (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)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series12.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	(*.f64 z (-.f64 x t))
2.0ms	z	@	inf	(+.f64 x (*.f64 z (-.f64 x t)))
1.0ms	z	@	0	(*.f64 z (-.f64 x t))
1.0ms	t	@	inf	(*.f64 z (-.f64 x t))
0.0ms	x	@	-inf	(*.f64 z (-.f64 x t))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	15
2	2369	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify349.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

353×	`fma-def_binary64`
263×	`fma-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
50×	`distribute-rgt-in_binary64`
50×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	608
1	62	420
2	134	420
3	285	420
4	562	420
5	1024	420
6	1333	420
7	1388	420
8	1389	420

Stop Event

1×

saturated

Counts

114 → 69

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 10 computations (80% saved)

series23.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

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

rewrite235.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	257	28
2	4085	28

Stop Event

1×	node limit

Counts

3 → 285

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 t x) y) (*.f64 (-.f64 t x) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) (+.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 t x) y) 2) (*.f64 (-.f64 t x) (+.f64 y z))) (/.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (*.f64 (-.f64 t x) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 t x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 t x) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 2) (/.f64 1 (*.f64 (-.f64 t x) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 t x) (+.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) (+.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) (+.f64 y z))) 2) (cbrt.f64 (*.f64 (-.f64 t x) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (*.f64 (cbrt.f64 (-.f64 t x)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 t x) (+.f64 y z))) (sqrt.f64 (*.f64 (-.f64 t x) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 t x)) (*.f64 (sqrt.f64 (-.f64 t x)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) y) 3) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 2) (*.f64 (*.f64 (-.f64 t x) y) (*.f64 (-.f64 t x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y z) (-.f64 t x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (-.f64 t x) y)) (sqrt.f64 (*.f64 (-.f64 t x) z))) (-.f64 (sqrt.f64 (*.f64 (-.f64 t x) y)) (sqrt.f64 (*.f64 (-.f64 t x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 2) (*.f64 (*.f64 (-.f64 t x) y) (*.f64 (-.f64 t x) z))) (+.f64 (pow.f64 (*.f64 (-.f64 t x) y) 3) (pow.f64 (*.f64 (-.f64 t x) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 t x) (+.f64 y z)) (pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 2) (*.f64 (-.f64 t x) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) y) 3) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (-.f64 (pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 2) (*.f64 (*.f64 (-.f64 t x) y) (*.f64 (-.f64 t x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) y) 3) (pow.f64 (*.f64 (-.f64 t x) z) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (-.f64 (pow.f64 (*.f64 (-.f64 t x) y) 2) (*.f64 (*.f64 (-.f64 t x) y) (*.f64 (-.f64 t x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 2)) (neg.f64 (*.f64 (-.f64 t x) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 t x) y) 3) (pow.f64 (*.f64 (-.f64 t x) z) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 2) (*.f64 (*.f64 (-.f64 t x) y) (*.f64 (-.f64 t x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 t x) z) 2) (pow.f64 (*.f64 (-.f64 t x) y) 2)) (-.f64 (*.f64 (-.f64 t x) z) (*.f64 (-.f64 t x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 t 3) (pow.f64 x 3)) (+.f64 y z)) (fma.f64 x (+.f64 t x) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (+.f64 y z)) (+.f64 t x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 t x) (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) (+.f64 y z))) 3)))) (#(struct:change #<rule 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simplify505.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2841×	`fma-neg_binary64`
470×	`fma-def_binary64`
461×	`associate-+l-_binary64`
434×	`sub-neg_binary64`
371×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	1989
1	208	1715
2	559	1169
3	1630	1169
4	3900	1169
5	4978	1169
6	5187	1169
7	5211	1169
8	5211	1169
9	5648	1169
10	5748	1169
11	5748	1169
12	7974	1169
13	7974	1169
14	7974	1169

Stop Event

1×

saturated

Counts

417 → 322

Calls

Call 1

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

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

eval477.0ms (3.2%)

Compiler: Compiled 15559 to 3572 computations (77% saved)

prune433.0ms (2.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	824	13	837
Fresh	4	2	6
Picked	1	0	1
Done	2	2	4
Total	831	17	848

Error

Counts

848 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(+.f64 x (*.f64 z (neg.f64 t)))
▶	36.0b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
	35.1b	(+.f64 (*.f64 z x) x)
	41.4b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))
	21.8b	(fma.f64 (-.f64 x t) z x)
	49.3b	(*.f64 t (neg.f64 z))
✓	41.4b	(*.f64 (-.f64 t x) y)
	44.5b	x
▶	49.3b	(*.f64 y t)
	29.0b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
▶	0.0b	(+.f64 x (fma.f64 (neg.f64 (-.f64 t x)) z (*.f64 (-.f64 t x) y)))
✓	36.0b	(*.f64 t (-.f64 y z))
▶	27.2b	(+.f64 x (*.f64 x (-.f64 z y)))
	23.5b	(+.f64 (*.f64 y (-.f64 t x)) x)
	54.6b	(*.f64 x (neg.f64 y))
	41.2b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t)))
▶	39.7b	(*.f64 z (-.f64 x t))

Compiler

Compiled 351 to 224 computations (36.2% saved)

localize46.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 9 computations (79.5% saved)

series16.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	221	31
2	3204	29

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify419.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2593×	`fma-neg_binary64`
969×	`fma-def_binary64`
472×	`sub-neg_binary64`
440×	`associate-+l-_binary64`
324×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	1676
1	190	1403
2	505	1001
3	1476	929
4	4081	929
5	4932	929
6	5224	929
7	5261	929
8	5261	929
9	5698	929
10	5804	929
11	5804	929
12	7869	929
13	7869	929
14	7869	929

Stop Event

1×

saturated

Counts

190 → 125

Calls

Call 1

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

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

localize26.0ms (0.2%)

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)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite65.0ms (0.4%)

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

Outputs

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

((#(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))))))))

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
235×	`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	61	572
2	137	512
3	321	512
4	707	512
5	1423	512
6	1945	512
7	1949	512

Stop Event

1×

saturated

Counts

129 → 71

Calls

Call 1

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

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

localize49.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2563	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	360
1	46	240
2	102	240
3	190	240
4	328	240
5	512	240
6	626	240
7	667	240

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

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

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

eval121.0ms (0.8%)

Compiler: Compiled 4341 to 1189 computations (72.6% saved)

prune167.0ms (1.1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	290	6	296
Fresh	2	8	10
Picked	1	0	1
Done	1	5	6
Total	294	19	313

Error

Counts

313 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.1b	(+.f64 (*.f64 z x) x)
	41.4b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))
	36.9b	(-.f64 x (*.f64 y x))
	36.0b	(-.f64 (.f64 y t) (.f64 t z))
	21.8b	(fma.f64 (-.f64 x t) z x)
	44.5b	x
✓	49.3b	(*.f64 y t)
✓	36.0b	(*.f64 t (-.f64 y z))
✓	27.2b	(+.f64 x (*.f64 x (-.f64 z y)))
▶	41.2b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t)))
	54.6b	(*.f64 y (neg.f64 x))
▶	53.1b	(*.f64 z x)
	31.7b	(+.f64 x (*.f64 z (neg.f64 t)))
▶	13.8b	(+.f64 x (fma.f64 (neg.f64 (-.f64 t x)) z (*.f64 x (neg.f64 y))))
✓	41.4b	(*.f64 (-.f64 t x) y)
▶	23.5b	(+.f64 (*.f64 y (-.f64 t x)) x)
	29.0b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
	49.3b	(*.f64 z (neg.f64 t))
✓	39.7b	(*.f64 z (-.f64 x t))

Compiler

Compiled 352 to 228 computations (35.2% saved)

localize46.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 43 to 10 computations (76.7% saved)

series15.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
421×	`fma-def_binary64`
379×	`pow-prod-down_binary64`
289×	`pow2_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	244	25
2	3559	23

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify192.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1009×	`fma-neg_binary64`
539×	`fma-def_binary64`
181×	`sub-neg_binary64`
139×	`unsub-neg_binary64`
138×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	1479
1	120	1139
2	309	1133
3	802	1133
4	1733	1133
5	2826	1133
6	3514	1133
7	3585	1133
8	3585	1133
9	3698	1133
10	3698	1133

Stop Event

1×

saturated

Counts

187 → 119

Calls

Call 1

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

Outputs
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(.f64 -1 (.f64 t z))
(neg.f64 (*.f64 z t))
(*.f64 t (neg.f64 z))
(*.f64 z (neg.f64 t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(.f64 -1 (.f64 t z))
(neg.f64 (*.f64 z t))
(*.f64 t (neg.f64 z))
(*.f64 z (neg.f64 t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (.f64 z x) (.f64 -1 (*.f64 y x))))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(.f64 -1 (.f64 t z))
(neg.f64 (*.f64 z t))
(*.f64 t (neg.f64 z))
(*.f64 z (neg.f64 t))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 (+.f64 z (.f64 -1 y)) x))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 (+.f64 z (.f64 -1 y)) x))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 (+.f64 z (.f64 -1 y)) x))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(.f64 (+.f64 z (.f64 -1 y)) x)
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 (+.f64 z (.f64 -1 y)) x))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 (+.f64 z (.f64 -1 y)) x))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 (+.f64 z (.f64 -1 y)) x))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 -1 (.f64 t z)) (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(*.f64 z (-.f64 x t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(*.f64 z (-.f64 x t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(*.f64 z (-.f64 x t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
(-.f64 (.f64 x (-.f64 z y)) (.f64 z t))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 z (-.f64 x t)) (.f64 -1 (*.f64 y x)))
(fma.f64 -1 (.f64 z t) (fma.f64 z x (.f64 (neg.f64 y) x)))
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localize4.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series122.0ms (0.8%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
120.0ms	z	@	-inf	(+.f64 (*.f64 z x) x)
1.0ms	x	@	0	(+.f64 (*.f64 z x) x)
0.0ms	z	@	0	(+.f64 (*.f64 z x) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 z x) x)
0.0ms	x	@	inf	(+.f64 (*.f64 z x) x)

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`pow1_binary64`
590×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	112	5
2	1610	5

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
53×	`fma-neg_binary64`
20×	`unsub-neg_binary64`
16×	`distribute-lft-in_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	27	93
2	58	69
3	139	69
4	236	69
5	334	69
6	394	69

Stop Event

1×

saturated

Counts

55 → 45

Calls

Call 1

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite54.0ms (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 y (-.f64 t x))

Outputs

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

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t)))
✓	2.3b	(-.f64 (.f64 x x) (.f64 t t))
✓	8.7b	(.f64 (-.f64 (.f64 x x) (*.f64 t t)) z)
✓	16.9b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t))

Compiler

Compiled 60 to 11 computations (81.7% saved)

series187.0ms (1.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
161.0ms	x	@	-inf	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t)))
7.0ms	x	@	0	(-.f64 (.f64 x x) (.f64 t t))
3.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t))
1.0ms	t	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t))

rewrite119.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`fma-def_binary64`
707×	`log-prod_binary64`
386×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	262	40
2	4206	38

Stop Event

1×	node limit

Counts

4 → 346

Calls

Call 1

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

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

simplify257.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-neg_binary64`
734×	`div-sub_binary64`
390×	`associate-/r*_binary64`
380×	`fma-def_binary64`
356×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	1616
1	127	1297
2	274	1152
3	902	1152
4	3530	1152
5	7262	1152

Stop Event

1×	node limit

Counts

478 → 379

Calls

Call 1

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

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

eval227.0ms (1.5%)

Compiler: Compiled 10991 to 2948 computations (73.2% saved)

prune307.0ms (2.1%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	563	4	567
Fresh	2	7	9
Picked	1	0	1
Done	1	8	9
Total	567	19	586

Error

Counts

586 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.1b	(+.f64 (*.f64 z x) x)
	41.4b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))
	31.4b	(+.f64 (*.f64 y t) x)
	36.9b	(-.f64 x (*.f64 y x))
	36.0b	(-.f64 (.f64 y t) (.f64 t z))
✓	13.8b	(+.f64 x (fma.f64 (neg.f64 (-.f64 t x)) z (*.f64 x (neg.f64 y))))
	44.5b	x
	40.8b	(+.f64 x (.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 x t)) 1) (/.f64 z (+.f64 x t))))
	49.3b	(*.f64 z (neg.f64 t))
✓	36.0b	(*.f64 t (-.f64 y z))
✓	27.2b	(+.f64 x (*.f64 x (-.f64 z y)))
	46.7b	(+.f64 x (/.f64 (.f64 (.f64 x x) z) (+.f64 x t)))
	54.6b	(*.f64 y (neg.f64 x))
✓	53.1b	(*.f64 z x)
	31.7b	(+.f64 x (*.f64 z (neg.f64 t)))
✓	41.4b	(*.f64 (-.f64 t x) y)
✓	49.3b	(*.f64 y t)
	29.0b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
✓	39.7b	(*.f64 z (-.f64 x t))

Compiler

Compiled 206 to 134 computations (35% saved)

regimes261.0ms (1.7%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

87.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
55.0ms	(-.f64 y z)
53.0ms	x
20.0ms	y
19.0ms	t

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 316 to 107 computations (66.1% saved)

regimes148.0ms (1%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

57.0ms	(-.f64 y z)
18.0ms	z
17.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
16.0ms	x
16.0ms	t

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 271 to 97 computations (64.2% saved)

regimes536.0ms (3.6%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

6 calls:

164.0ms	t
139.0ms	(-.f64 y z)
88.0ms	x
62.0ms	z
43.0ms	(-.f64 y z)

Results

Error	Segments	Branch
10.1b	7	`x`
10.1b	3	`y`
9.0b	3	`z`
13.5b	7	`t`
18.7b	4	`(-.f64 y z)`
18.7b	4	`(-.f64 y z)`

Compiler

Compiled 156 to 62 computations (60.3% saved)

bsearch47.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.3751734163422565e-42	1.3223163506963362e-37
28.0ms	-1.3019813980844087e-7	-1.0921227064909083e-18

Compiler

Compiled 20 to 14 computations (30% saved)

regimes663.0ms (4.4%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

6 calls:

155.0ms	z
150.0ms	x
120.0ms	y
112.0ms	t
82.0ms	(-.f64 y z)

Results

Error	Segments	Branch
10.4b	7	`x`
16.0b	5	`y`
9.6b	3	`z`
17.1b	4	`t`
18.7b	4	`(-.f64 y z)`
18.7b	4	`(-.f64 y z)`

Compiler

Compiled 133 to 58 computations (56.4% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	8.342555390793396e-24	7.929934375980695e-19
17.0ms	-1.3019813980844087e-7	-1.0921227064909083e-18

Compiler

Compiled 20 to 14 computations (30% saved)

regimes324.0ms (2.2%)

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

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

Calls

6 calls:

94.0ms	y
58.0ms	z
44.0ms	(-.f64 y z)
43.0ms	x
41.0ms	(-.f64 y z)

Results

Error	Segments	Branch
11.6b	5	`x`
15.7b	7	`y`
15.9b	3	`z`
18.4b	3	`t`
18.5b	5	`(-.f64 y z)`
18.5b	5	`(-.f64 y z)`

Compiler

Compiled 112 to 56 computations (50% saved)

bsearch71.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	6.351887022771739e-26	1.3265380313694655e-14
17.0ms	2.4537731466248407e-82	1.483394928379111e-76
18.0ms	1.3112571328983433e-120	2.0938269776510323e-120
18.0ms	-6.781098480773828e-105	-2.689008794321092e-106

Compiler

Compiled 20 to 14 computations (30% saved)

regimes331.0ms (2.2%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

6 calls:

84.0ms	(-.f64 y z)
76.0ms	t
59.0ms	y
42.0ms	x
42.0ms	(-.f64 y z)

Results

Error	Segments	Branch
17.3b	5	`x`
15.7b	7	`y`
15.9b	3	`z`
22.0b	7	`t`
19.3b	5	`(-.f64 y z)`
19.3b	5	`(-.f64 y z)`

Compiler

Compiled 105 to 53 computations (49.5% saved)

bsearch125.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	4.0608742101895496e-24	1.8529886466462655e-19
20.0ms	-1.9734763258488398e-220	-3.54251952622234e-224
21.0ms	-3.2820679115395877e-175	-5.552331270658502e-188
19.0ms	-4.519078243590432e-100	-2.423016022630389e-106
20.0ms	-2.208019825239669e-51	-2.2832984479873773e-52
27.0ms	-1835688735862209.3	-92696449.1749965

Compiler

Compiled 20 to 14 computations (30% saved)

regimes262.0ms (1.8%)

Counts

15 → 7

Calls

Call 1

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

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

Calls

6 calls:

65.0ms	t
54.0ms	y
40.0ms	(-.f64 y z)
38.0ms	(-.f64 y z)
38.0ms	x

Results

Error	Segments	Branch
17.3b	5	`x`
15.7b	7	`y`
15.9b	3	`z`
22.0b	7	`t`
19.3b	5	`(-.f64 y z)`
19.3b	5	`(-.f64 y z)`

Compiler

Compiled 98 to 51 computations (48% saved)

bsearch114.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
19.0ms	4.0608742101895496e-24	1.8529886466462655e-19
18.0ms	-1.9734763258488398e-220	-3.54251952622234e-224
19.0ms	-3.2820679115395877e-175	-5.552331270658502e-188
19.0ms	-4.519078243590432e-100	-2.423016022630389e-106
19.0ms	-2.208019825239669e-51	-2.2832984479873773e-52
20.0ms	-1835688735862209.3	-92696449.1749965

Compiler

Compiled 20 to 14 computations (30% saved)

regimes250.0ms (1.7%)

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

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

Calls

6 calls:

61.0ms	y
51.0ms	t
38.0ms	x
37.0ms	(-.f64 y z)
36.0ms	(-.f64 y z)

Results

Error	Segments	Branch
17.3b	5	`x`
17.5b	8	`y`
15.9b	3	`z`
22.5b	7	`t`
19.3b	5	`(-.f64 y z)`
19.3b	5	`(-.f64 y z)`

Compiler

Compiled 92 to 50 computations (45.7% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	8.342555390793396e-24	7.929934375980695e-19
19.0ms	-1.3019813980844087e-7	-1.0921227064909083e-18

Compiler

Compiled 20 to 14 computations (30% saved)

regimes140.0ms (0.9%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	y
36.0ms	t
31.0ms	x
26.0ms	z

Results

Error	Segments	Branch
23.9b	5	`x`
23.9b	7	`y`
22.8b	4	`z`
25.8b	5	`t`

Compiler

Compiled 63 to 34 computations (46% saved)

bsearch97.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	0.05893900090288899	0.48967129904992285
18.0ms	-1.3019813980844087e-7	-1.0921227064909083e-18
60.0ms	-3.2203934501343757e+84	-2.7402826014852745e+80

Compiler

Compiled 156 to 118 computations (24.4% saved)

regimes98.0ms (0.7%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	y
25.0ms	x
24.0ms	z
18.0ms	t

Results

Error	Segments	Branch
26.6b	4	`x`
27.0b	5	`y`
22.9b	4	`z`
28.3b	3	`t`

Compiler

Compiled 58 to 33 computations (43.1% saved)

bsearch190.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
112.0ms	8.023772312676326e+41	7.574122702199696e+50
18.0ms	-1.3019813980844087e-7	-1.0921227064909083e-18
60.0ms	-3.2203934501343757e+84	-2.7402826014852745e+80

Compiler

Compiled 318 to 235 computations (26.1% saved)

regimes126.0ms (0.8%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	y
35.0ms	z
31.0ms	x
21.0ms	t

Results

Error	Segments	Branch
32.6b	6	`x`
31.3b	7	`y`
30.6b	7	`z`
39.7b	3	`t`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch154.0ms (1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
19.0ms	2.2533371114491533e+21	1.7192512626358115e+23
19.0ms	8.342555390793396e-24	7.929934375980695e-19
18.0ms	5.196518449126992e-276	2.155179929836797e-275
18.0ms	-2.3768113014192407e-264	-4.767440536356645e-265
19.0ms	-1.6201892309483175e-26	-1.192941145592658e-26
60.0ms	-3.2203934501343757e+84	-2.7402826014852745e+80

Compiler

Compiled 156 to 118 computations (24.4% saved)

regimes71.0ms (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 y t)
(*.f64 y (neg.f64 x))
(*.f64 y t)

Calls

4 calls:

20.0ms	y
20.0ms	z
16.0ms	t
13.0ms	x

Results

Error	Segments	Branch
35.9b	3	`x`
32.7b	5	`y`
34.3b	5	`z`
40.8b	3	`t`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch76.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	5.830815508976243e+236	1.9239878723410832e+241
18.0ms	3147577253297284600.0	1.3682400925623358e+20
18.0ms	4.0608742101895496e-24	1.8529886466462655e-19
18.0ms	-2.408034525165828e-48	-2.208019825239669e-51

Compiler

Compiled 156 to 118 computations (24.4% saved)

regimes58.0ms (0.4%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	z
15.0ms	t
11.0ms	x
11.0ms	y

Results

Error	Segments	Branch
35.9b	3	`x`
35.8b	3	`y`
34.3b	5	`z`
40.8b	3	`t`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch75.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	0.48967129904992285	6.868984379167529e+20
19.0ms	5.196518449126992e-276	2.155179929836797e-275
19.0ms	-2.3768113014192407e-264	-4.767440536356645e-265
18.0ms	-1453351.342971835	-0.06752023859579143

Compiler

Compiled 20 to 14 computations (30% saved)

regimes41.0ms (0.3%)

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	z
11.0ms	t
11.0ms	x
7.0ms	y

Results

Error	Segments	Branch
43.3b	3	`x`
42.6b	2	`y`
35.6b	3	`z`
43.0b	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	0.48967129904992285	6.868984379167529e+20
18.0ms	-1453351.342971835	-0.06752023859579143

Compiler

Compiled 20 to 14 computations (30% saved)

regimes16.0ms (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:

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

Results

Error	Segments	Branch
44.5b	1	`x`
44.5b	1	`y`
44.5b	1	`z`
44.5b	1	`t`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
17×	`*-commutative_binary64`
11×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	630
1	157	622
2	181	622
3	192	622
4	196	622

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y z) (-.f64 t x) x)
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 z 8632103438179609/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 y (-.f64 t x)) x) (+.f64 x (*.f64 z (-.f64 x t)))))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (-.f64 x t)) (if (<=.f64 z 5677648989096423/680564733841876926926749214863536422912) (+.f64 (.f64 y (-.f64 t x)) x) (*.f64 z (-.f64 x t))))
(if (<=.f64 x -8755245362636769/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (+.f64 x (.f64 x (-.f64 z y))) (if (<=.f64 x 7624579693594775/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (.f64 t (-.f64 y z)) (if (<=.f64 x 8385964208450429/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 x (.f64 x (-.f64 z y))) (if (<=.f64 x 2766636992669645/43556142965880123323311949751266331066368) (.f64 t (-.f64 y z)) (+.f64 x (*.f64 x (-.f64 z y)))))))
(if (<=.f64 y -7342754943448837/4) (.f64 (-.f64 t x) y) (if (<=.f64 y -3720506045529547/1684996666696914987166688442938726917102321526408785780068975640576) (-.f64 (.f64 y t) (.f64 t z)) (if (<=.f64 y -2225759361949271/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 (.f64 y t) x) (if (<=.f64 y -731164060029427/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y -5019824456675251/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (+.f64 (.f64 z x) x) (if (<=.f64 y 2763687776022993/680564733841876926926749214863536422912) (+.f64 x (.f64 z (neg.f64 t))) (.f64 (-.f64 t x) y)))))))
(if (<=.f64 y -7342754943448837/4) (.f64 (-.f64 t x) y) (if (<=.f64 y -3720506045529547/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 t (-.f64 y z)) (if (<=.f64 y -2225759361949271/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 (.f64 y t) x) (if (<=.f64 y -731164060029427/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y -5019824456675251/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (+.f64 (.f64 z x) x) (if (<=.f64 y 2763687776022993/680564733841876926926749214863536422912) (+.f64 x (.f64 z (neg.f64 t))) (*.f64 (-.f64 t x) y)))))))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (-.f64 x t)) (if (<=.f64 z 5677648989096423/680564733841876926926749214863536422912) (+.f64 (.f64 y t) x) (*.f64 z (-.f64 x t))))
(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (neg.f64 t)) (if (<=.f64 z 4247002600061443/72057594037927936) (+.f64 (.f64 y t) x) (+.f64 (.f64 z x) x))))
(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (neg.f64 t)) (if (<=.f64 z 749999999999999994915711505771220982346281331458048) (+.f64 (.f64 y t) x) (.f64 z x))))
(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -5645535501997143/348449143727040986586495598010130648530944) (.f64 z (neg.f64 t)) (if (<=.f64 z -2696501612450787/1134503866941667986143541334648056457619674836471095626110665786221268201568912028156408931347775536033476809532312754097331684299884724203331627335435786915422798797948806666521214607112348737236205441118127012028555106130125335760617903854636122194680820545543017511614811209728) x (if (<=.f64 z 6482138118755311/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (.f64 y t) (if (<=.f64 z 5677648989096423/680564733841876926926749214863536422912) x (if (<=.f64 z 2253337111449153306624) (.f64 z (neg.f64 t)) (*.f64 z x)))))))
(if (<=.f64 y -7924863570694353/3291009114642412084309938365114701009965471731267159726697218048) (.f64 y t) (if (<=.f64 y 2763687776022993/680564733841876926926749214863536422912) x (if (<=.f64 y 3147577253297284608) (.f64 y t) (if (<=.f64 y 599999999999999964123276788598569494583421461603637337968924494784772898935883594971048328812194296800569197023230798336228254749467301357431028197459841489564676100153346856467878845440583100130958087186864218662497588342192819511754752) (.f64 y (neg.f64 x)) (.f64 y t)))))
(if (<=.f64 z -6242096487661711/4294967296) (.f64 z x) (if (<=.f64 z -2696501612450787/1134503866941667986143541334648056457619674836471095626110665786221268201568912028156408931347775536033476809532312754097331684299884724203331627335435786915422798797948806666521214607112348737236205441118127012028555106130125335760617903854636122194680820545543017511614811209728) x (if (<=.f64 z 6482138118755311/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (.f64 y t) (if (<=.f64 z 8821133919741037/18014398509481984) x (*.f64 z x)))))
(if (<=.f64 z -6242096487661711/4294967296) (.f64 z x) (if (<=.f64 z 8821133919741037/18014398509481984) x (.f64 z x)))
x

Outputs
(fma.f64 (-.f64 y z) (-.f64 t x) x)
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 z 8632103438179609/6277101735386680763835789423207666416102355444464034512896) (+.f64 (.f64 y (-.f64 t x)) x) (+.f64 x (*.f64 z (-.f64 x t)))))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 z 8632103438179609/6277101735386680763835789423207666416102355444464034512896) (+.f64 x (.f64 y (-.f64 t x))) (+.f64 x (*.f64 z (-.f64 x t)))))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (-.f64 x t)) (if (<=.f64 z 5677648989096423/680564733841876926926749214863536422912) (+.f64 (.f64 y (-.f64 t x)) x) (*.f64 z (-.f64 x t))))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (-.f64 x t)) (if (<=.f64 z 5677648989096423/680564733841876926926749214863536422912) (+.f64 x (.f64 y (-.f64 t x))) (*.f64 z (-.f64 x t))))
(if (<=.f64 x -8755245362636769/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (+.f64 x (.f64 x (-.f64 z y))) (if (<=.f64 x 7624579693594775/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (.f64 t (-.f64 y z)) (if (<=.f64 x 8385964208450429/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 x (.f64 x (-.f64 z y))) (if (<=.f64 x 2766636992669645/43556142965880123323311949751266331066368) (.f64 t (-.f64 y z)) (+.f64 x (*.f64 x (-.f64 z y)))))))
(if (<=.f64 x -8755245362636769/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (+.f64 x (.f64 x (-.f64 z y))) (if (<=.f64 x 7624579693594775/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (.f64 (-.f64 y z) t) (if (<=.f64 x 8385964208450429/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (+.f64 x (.f64 x (-.f64 z y))) (if (<=.f64 x 2766636992669645/43556142965880123323311949751266331066368) (.f64 (-.f64 y z) t) (+.f64 x (*.f64 x (-.f64 z y)))))))
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(if (<=.f64 y -7342754943448837/4) (.f64 y (-.f64 t x)) (if (<=.f64 y -3720506045529547/1684996666696914987166688442938726917102321526408785780068975640576) (.f64 (-.f64 y z) t) (if (<=.f64 y -2225759361949271/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 x (.f64 y t)) (if (<=.f64 y -731164060029427/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912) (-.f64 x (.f64 z t)) (if (<=.f64 y -5019824456675251/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704) (+.f64 x (.f64 z x)) (if (<=.f64 y 2763687776022993/680564733841876926926749214863536422912) (-.f64 x (.f64 z t)) (*.f64 y (-.f64 t x))))))))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (-.f64 x t)) (if (<=.f64 z 5677648989096423/680564733841876926926749214863536422912) (+.f64 (.f64 y t) x) (*.f64 z (-.f64 x t))))
(if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (-.f64 x t)) (if (<=.f64 z 5677648989096423/680564733841876926926749214863536422912) (+.f64 x (.f64 y t)) (*.f64 z (-.f64 x t))))
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(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (neg.f64 t)) (if (<=.f64 z 4247002600061443/72057594037927936) (+.f64 x (.f64 y t)) (+.f64 x (.f64 z x)))))
(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 t (neg.f64 z)) (if (<=.f64 z 4247002600061443/72057594037927936) (+.f64 x (.f64 y t)) (+.f64 x (.f64 z x)))))
(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (neg.f64 t)) (if (<=.f64 z 749999999999999994915711505771220982346281331458048) (+.f64 (.f64 y t) x) (.f64 z x))))
(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 z (neg.f64 t)) (if (<=.f64 z 749999999999999994915711505771220982346281331458048) (+.f64 x (.f64 y t)) (.f64 z x))))
(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -2459373326253429/18889465931478580854784) (.f64 t (neg.f64 z)) (if (<=.f64 z 749999999999999994915711505771220982346281331458048) (+.f64 x (.f64 y t)) (.f64 z x))))
(if (<=.f64 z -3200000000000000098581322339088822104864806528244587083074871810221247529322605969408) (.f64 z x) (if (<=.f64 z -5645535501997143/348449143727040986586495598010130648530944) (.f64 z (neg.f64 t)) (if (<=.f64 z -2696501612450787/1134503866941667986143541334648056457619674836471095626110665786221268201568912028156408931347775536033476809532312754097331684299884724203331627335435786915422798797948806666521214607112348737236205441118127012028555106130125335760617903854636122194680820545543017511614811209728) x (if (<=.f64 z 6482138118755311/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (.f64 y t) (if (<=.f64 z 5677648989096423/680564733841876926926749214863536422912) x (if (<=.f64 z 2253337111449153306624) (.f64 z (neg.f64 t)) (*.f64 z x)))))))
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(if (<=.f64 z -6242096487661711/4294967296) (.f64 z x) (if (<=.f64 z -2696501612450787/1134503866941667986143541334648056457619674836471095626110665786221268201568912028156408931347775536033476809532312754097331684299884724203331627335435786915422798797948806666521214607112348737236205441118127012028555106130125335760617903854636122194680820545543017511614811209728) x (if (<=.f64 z 6482138118755311/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928) (.f64 y t) (if (<=.f64 z 8821133919741037/18014398509481984) x (*.f64 z x)))))
(if (<=.f64 z -6242096487661711/4294967296) (.f64 z x) (if (<=.f64 z 8821133919741037/18014398509481984) x (.f64 z x)))
x

Compiler

Compiled 493 to 259 computations (47.5% saved)

soundness582.0ms (3.9%)

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)

end133.0ms (0.9%)

Compiler: Compiled 437 to 161 computations (63.2% 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	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

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

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