Details

analyze533.0ms (3.3%)

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)

sample2.2s (13.3%)

Results

1.6s	8256×	body	256	valid
533.0ms	3843×	body	256	invalid

preprocess98.0ms (0.6%)

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)

simplify275.0ms (1.7%)

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

Compiler

Compiled 25 to 15 computations (40% saved)

localize9.0ms (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)

series12.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite74.0ms (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))) 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(.f64 x (+.f64 t x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (.f64 x x))) (+.f64 t x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 t x) (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 y z) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 y z) (-.f64 t x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 y z) (-.f64 t x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 y z) (-.f64 t x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 y z) (-.f64 t x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 t x)) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 y z) (-.f64 t x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 y z) (-.f64 t x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))

simplify344.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1500
1	105	1169
2	241	935
3	740	929
4	1834	929
5	3843	929
6	4481	929
7	4671	929
8	4709	929
9	4709	929
10	5045	929
11	5088	929
12	5088	929
13	7108	929
14	7108	929
15	7108	929

Stop Event

1×

saturated

Counts

195 → 125

Calls

Call 1

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

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

localize9.0ms (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)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite89.0ms (0.5%)

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))))))

simplify301.0ms (1.9%)

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)

eval33.0ms (0.2%)

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

prune32.0ms (0.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	167	9	176
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	169	9	178

Error

Counts

178 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.1b	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
▶	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) (neg.f64 z))))
	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
▶	36.5b	(*.f64 t (-.f64 y z))
▶	23.0b	(+.f64 x (*.f64 z (-.f64 x t)))
	39.1b	(*.f64 z (-.f64 x t))
	24.7b	(+.f64 (*.f64 y (-.f64 t x)) x)
▶	40.1b	(*.f64 (-.f64 t x) y)
	27.1b	(+.f64 x (*.f64 x (-.f64 z y)))

Compiler

Compiled 218 to 138 computations (36.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 10 computations (80% saved)

series20.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	257	35
2	4085	35

Stop Event

1×	node limit

Counts

4 → 309

Calls

Call 1

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

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

simplify265.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2930×	`fma-neg_binary64`
477×	`fma-def_binary64`
466×	`associate-+l-_binary64`
444×	`sub-neg_binary64`
366×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	2299
1	211	1955
2	566	1409
3	1653	1409
4	4063	1409
5	5086	1409
6	5289	1409
7	5313	1409
8	5313	1409
9	5750	1409
10	5854	1409
11	5854	1409

Stop Event

1×	node limit

Counts

477 → 352

Calls

Call 1

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite58.0ms (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))))))))

simplify39.0ms (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))

localize11.0ms (0.1%)

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)

localize29.0ms (0.2%)

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)

series11.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite91.0ms (0.6%)

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)))))))

simplify71.0ms (0.4%)

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)

localize127.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 33 to 18 computations (45.5% saved)

series194.0ms (1.2%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
181.0ms	z	@	0	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
5.0ms	y	@	-inf	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
1.0ms	x	@	0	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
1.0ms	y	@	0	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
1.0ms	z	@	inf	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`pow1_binary64`
923×	`add-log-exp_binary64`
922×	`log1p-expm1-u_binary64`
922×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	207	10
2	2827	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-def_binary64`
338×	`fma-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
58×	`associate--r+_binary64`
55×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	270
1	35	214
2	76	212
3	167	176
4	302	176
5	606	176
6	1216	176
7	1595	176
8	1730	176
9	1748	176

Stop Event

1×

saturated

Counts

46 → 32

Calls

Call 1

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

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

eval136.0ms (0.8%)

Compiler: Compiled 8683 to 2043 computations (76.5% saved)

prune276.0ms (1.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	495	12	507
Fresh	2	2	4
Picked	1	0	1
Done	2	2	4
Total	500	16	516

Error

Counts

516 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	51.7b	(*.f64 z x)
▶	35.8b	(+.f64 (*.f64 z x) x)
	49.8b	(*.f64 t (neg.f64 z))
▶	53.5b	(*.f64 y (neg.f64 x))
✓	40.1b	(*.f64 (-.f64 t x) y)
	36.5b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
	24.7b	(+.f64 (*.f64 y (-.f64 t x)) x)
	35.8b	(*.f64 (+.f64 1 z) x)
▶	49.3b	(*.f64 y t)
✓	36.5b	(*.f64 t (-.f64 y z))
	34.5b	(+.f64 x (*.f64 z (neg.f64 t)))
	38.6b	(-.f64 x (*.f64 x y))
	39.1b	(*.f64 z (-.f64 x t))
	47.1b	x
▶	27.1b	(+.f64 x (*.f64 x (-.f64 z y)))
▶	23.0b	(+.f64 x (+.f64 (.f64 z x) (.f64 z (neg.f64 t))))

Compiler

Compiled 271 to 186 computations (31.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
1.0ms	z	@	inf	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
1.0ms	x	@	0	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
1.0ms	t	@	0	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
0.0ms	z	@	-inf	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`fma-def_binary64`
506×	`log-prod_binary64`
403×	`pow-prod-down_binary64`
309×	`fma-neg_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	208	15
2	3261	15

Stop Event

1×	node limit

Counts

2 → 258

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

343×	`fma-def_binary64`
256×	`fma-neg_binary64`
59×	`cancel-sign-sub-inv_binary64`
54×	`unsub-neg_binary64`
45×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	644
1	79	504
2	169	504
3	349	504
4	696	504
5	1104	504
6	1269	504
7	1294	504
8	1295	504

Stop Event

1×

saturated

Counts

330 → 277

Calls

Call 1

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

localize4.0ms (0%)

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

localize30.0ms (0.2%)

Compiler: Compiled 12 to 6 computations (50% saved)

localize6.0ms (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)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite66.0ms (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)))))

simplify207.0ms (1.3%)

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)

localize8.0ms (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)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

simplify129.0ms (0.8%)

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))

eval204.0ms (1.3%)

Compiler: Compiled 5609 to 1649 computations (70.6% saved)

prune203.0ms (1.3%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	387	6	393
Fresh	5	4	9
Picked	0	1	1
Done	1	5	6
Total	393	16	409

Error

Counts

409 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.0b	(+.f64 x (-.f64 (.f64 z x) (.f64 z t)))
✓	35.8b	(+.f64 (*.f64 z x) x)
▶	39.1b	(*.f64 z (-.f64 x t))
▶	38.6b	(-.f64 x (*.f64 y x))
	49.8b	(*.f64 t (neg.f64 z))
✓	53.5b	(*.f64 y (neg.f64 x))
✓	40.1b	(*.f64 (-.f64 t x) y)
	36.5b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
▶	24.7b	(+.f64 (*.f64 y (-.f64 t x)) x)
✓	49.3b	(*.f64 y t)
✓	36.5b	(*.f64 t (-.f64 y z))
▶	51.7b	(*.f64 z x)
	34.5b	(+.f64 x (*.f64 (neg.f64 t) z))
	47.1b	x
✓	27.1b	(+.f64 x (*.f64 x (-.f64 z y)))
	35.8b	(*.f64 (+.f64 z 1) x)

Compiler

Compiled 234 to 160 computations (31.6% saved)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 8 computations (72.4% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite152.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`fma-def_binary64`
532×	`log-prod_binary64`
394×	`pow-prod-down_binary64`
362×	`fma-neg_binary64`
269×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	194	15
2	2999	15

Stop Event

1×	node limit

Counts

2 → 319

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

248×	`fma-def_binary64`
216×	`fma-neg_binary64`
59×	`unsub-neg_binary64`
47×	`distribute-rgt-in_binary64`
42×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	612
1	85	504
2	185	504
3	423	504
4	852	504
5	1104	504
6	1146	504

Stop Event

1×

saturated

Counts

391 → 334

Calls

Call 1

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

localize5.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite216.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1654	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
20×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

Stop Event

1×

saturated

Counts

64 → 48

Calls

Call 1

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

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

localize8.0ms (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
1.0ms	t	@	-inf	(*.f64 y (-.f64 t x))
0.0ms	y	@	0	(*.f64 y (-.f64 t x))
0.0ms	y	@	inf	(*.f64 y (-.f64 t x))
0.0ms	y	@	-inf	(*.f64 y (-.f64 t x))
0.0ms	t	@	inf	(*.f64 y (-.f64 t x))

rewrite98.0ms (0.6%)

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))))))))

simplify46.0ms (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))

eval189.0ms (1.2%)

Compiler: Compiled 6878 to 1761 computations (74.4% saved)

prune107.0ms (0.7%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	426	3	429
Fresh	1	4	5
Picked	1	0	1
Done	1	9	10
Total	429	16	445

Error

Counts

445 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	49.8b	(*.f64 z (neg.f64 t))
✓	49.3b	(*.f64 y t)
	39.1b	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
✓	39.1b	(*.f64 z (-.f64 x t))
✓	38.6b	(-.f64 x (*.f64 y x))
	47.1b	x
	33.8b	(+.f64 (*.f64 y t) x)
✓	40.1b	(*.f64 (-.f64 t x) y)
	36.5b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
✓	36.5b	(*.f64 t (-.f64 y z))
✓	35.8b	(+.f64 (*.f64 z x) x)
✓	51.7b	(*.f64 z x)
	34.5b	(+.f64 x (*.f64 (neg.f64 t) z))
✓	53.5b	(*.f64 y (neg.f64 x))
✓	27.1b	(+.f64 x (*.f64 x (-.f64 z y)))
	35.8b	(*.f64 (+.f64 z 1) x)

Compiler

Compiled 143 to 99 computations (30.8% saved)

regimes392.0ms (2.4%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

224.0ms	(-.f64 y z)
35.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
34.0ms	z
31.0ms	t
31.0ms	x

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 241 to 90 computations (62.7% saved)

regimes256.0ms (1.6%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

6 calls:

84.0ms	x
49.0ms	y
30.0ms	z
30.0ms	(-.f64 y z)
27.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

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 233 to 89 computations (61.8% saved)

regimes1.6s (9.6%)

Counts

27 → 5

Calls

Call 1

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

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

Calls

6 calls:

557.0ms	t
342.0ms	(-.f64 y z)
330.0ms	z
162.0ms	(-.f64 y z)
122.0ms	y

Results

Error	Segments	Branch
13.8b	3	`x`
6.7b	5	`y`
8.8b	5	`z`
12.7b	8	`t`
15.4b	8	`(-.f64 y z)`
15.4b	8	`(-.f64 y z)`

Compiler

Compiled 180 to 76 computations (57.8% saved)

bsearch134.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
46.0ms	1.1221862075006597e-39	7.862106780188482e-38
18.0ms	1.8827519273200803e-74	3.3255338368397993e-65
20.0ms	2.8254888053718344e-161	6.734230874859484e-155
50.0ms	-7.146527790639123e-18	-1.0523315935971025e-18

Compiler

Compiled 20 to 14 computations (30% saved)

regimes1.0s (6.4%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

6 calls:

312.0ms	(-.f64 y z)
221.0ms	(-.f64 y z)
201.0ms	x
154.0ms	y
83.0ms	t

Results

Error	Segments	Branch
14.6b	6	`x`
12.4b	7	`y`
9.5b	5	`z`
17.2b	8	`t`
16.0b	9	`(-.f64 y z)`
16.0b	9	`(-.f64 y z)`

Compiler

Compiled 125 to 61 computations (51.2% saved)

bsearch205.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
82.0ms	4.509960072977815e+19	5.887593493395514e+39
56.0ms	3.7306453993956905e-80	1.0186869713719551e-70
36.0ms	2.8464076454203436e-140	1.1529792757655145e-138
31.0ms	-515.266684896522	-401.74548053723584

Compiler

Compiled 20 to 14 computations (30% saved)

regimes856.0ms (5.3%)

Counts

19 → 7

Calls

Call 1

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

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

Calls

6 calls:

181.0ms	(-.f64 y z)
174.0ms	(-.f64 y z)
154.0ms	t
143.0ms	z
122.0ms	y

Results

Error	Segments	Branch
19.8b	3	`x`
13.7b	7	`y`
14.2b	8	`z`
20.2b	9	`t`
16.2b	10	`(-.f64 y z)`
16.2b	10	`(-.f64 y z)`

Compiler

Compiled 118 to 59 computations (50% saved)

bsearch193.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
34.0ms	3.4110040958713487e+24	1.0476491936710873e+29
31.0ms	2.8254888053718344e-161	6.734230874859484e-155
32.0ms	1.1131909193751116e-244	1.6568829352784198e-244
31.0ms	-5.48865896304011e-288	-2.188020840214476e-289
33.0ms	-1.104467709170796e-256	-6.713096933213507e-258
32.0ms	-7.146527790639123e-18	-1.0523315935971025e-18

Compiler

Compiled 20 to 14 computations (30% saved)

regimes472.0ms (2.9%)

Counts

17 → 6

Calls

Call 1

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

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

Calls

6 calls:

93.0ms	y
82.0ms	(-.f64 y z)
78.0ms	t
74.0ms	(-.f64 y z)
72.0ms	z

Results

Error	Segments	Branch
19.8b	3	`x`
15.9b	6	`y`
15.4b	6	`z`
20.2b	9	`t`
18.2b	9	`(-.f64 y z)`
18.2b	9	`(-.f64 y z)`

Compiler

Compiled 106 to 56 computations (47.2% saved)

bsearch141.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	4.509960072977815e+19	5.887593493395514e+39
29.0ms	-4.916906512291579e-135	-1.4002847261702834e-138
30.0ms	-3.4192777763563525e-114	-1.8148926442066226e-115
32.0ms	-6.421633956521063e-66	-1.0889460563304394e-66
31.0ms	-515.266684896522	-401.74548053723584

Compiler

Compiled 20 to 14 computations (30% saved)

regimes290.0ms (1.8%)

Counts

15 → 8

Calls

Call 1

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

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

Calls

6 calls:

65.0ms	(-.f64 y z)
62.0ms	(-.f64 y z)
57.0ms	z
37.0ms	y
37.0ms	t

Results

Error	Segments	Branch
19.8b	3	`x`
22.6b	5	`y`
19.7b	8	`z`
22.4b	5	`t`
22.6b	9	`(-.f64 y z)`
22.6b	9	`(-.f64 y z)`

Compiler

Compiled 96 to 52 computations (45.8% saved)

bsearch161.0ms (1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
19.0ms	8.196378302016789e+242	8.568437029685005e+245
48.0ms	7.946579593434333e+149	2.2178502795693005e+159
19.0ms	4.509960072977815e+19	5.887593493395514e+39
18.0ms	-4.916906512291579e-135	-1.4002847261702834e-138
19.0ms	-3.4192777763563525e-114	-1.8148926442066226e-115
19.0ms	-1.0889460563304394e-66	-1.5573305244003099e-77
19.0ms	-5.77153786029173e+21	-8.027967877009371e+20

Compiler

Compiled 326 to 235 computations (27.9% saved)

regimes144.0ms (0.9%)

Counts

14 → 7

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	x
34.0ms	z
28.0ms	y
23.0ms	t

Results

Error	Segments	Branch
23.4b	7	`x`
24.3b	4	`y`
23.5b	5	`z`
26.9b	3	`t`

Compiler

Compiled 77 to 40 computations (48.1% saved)

bsearch95.0ms (0.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	7.920151886179179e-28	2.225167884180271e-24
19.0ms	1.0253906347513692e-187	2.1413978579610536e-184
19.0ms	3.988417099435108e-232	2.996250599012173e-230
19.0ms	8.900092287523576e-300	2.6219064234199987e-296
19.0ms	-5.4958845846448846e-285	-5.228075567475118e-290
0.0ms	-8.418250380899614e-84	-8.177161538877978e-84

Compiler

Compiled 20 to 14 computations (30% saved)

regimes144.0ms (0.9%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	x
35.0ms	t
32.0ms	y
28.0ms	z

Results

Error	Segments	Branch
25.3b	8	`x`
28.3b	6	`y`
23.8b	5	`z`
28.1b	5	`t`

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch77.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	4.509960072977815e+19	5.887593493395514e+39
20.0ms	-4.916906512291579e-135	-1.4002847261702834e-138
19.0ms	-9.927660450342344e-107	-4.6335483317779056e-107
19.0ms	-1.3392622670540824e+29	-1.56882262076268e+25

Compiler

Compiled 20 to 14 computations (30% saved)

regimes126.0ms (0.8%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	x
35.0ms	t
34.0ms	y
17.0ms	z

Results

Error	Segments	Branch
28.9b	7	`x`
28.3b	6	`y`
25.0b	3	`z`
30.1b	5	`t`

Compiler

Compiled 52 to 29 computations (44.2% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	4.509960072977815e+19	5.887593493395514e+39
19.0ms	-1.3392622670540824e+29	-1.56882262076268e+25

Compiler

Compiled 20 to 14 computations (30% saved)

regimes162.0ms (1%)

Counts

8 → 8

Calls

Call 1

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

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

Calls

4 calls:

55.0ms	x
41.0ms	t
38.0ms	y
25.0ms	z

Results

Error	Segments	Branch
32.2b	10	`x`
31.8b	8	`y`
34.7b	4	`z`
37.3b	8	`t`

Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch186.0ms (1.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
22.0ms	2.5890732026356553e-10	7.541212814969394e-10
19.0ms	2.8254888053718344e-161	6.734230874859484e-155
19.0ms	1.1131909193751116e-244	1.6568829352784198e-244
19.0ms	-1.9017122512870445e-204	-6.126579129758563e-207
19.0ms	-5.47982240684575e-107	-2.1609674446403292e-108
18.0ms	-7.146527790639123e-18	-1.0523315935971025e-18
69.0ms	-3.303011531046529e+82	-2.8425846108958364e+81

Compiler

Compiled 122 to 92 computations (24.6% saved)

regimes131.0ms (0.8%)

Counts

7 → 9

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	x
32.0ms	y
27.0ms	t
24.0ms	z

Results

Error	Segments	Branch
33.3b	9	`x`
33.7b	7	`y`
34.7b	4	`z`
38.8b	6	`t`

Compiler

Compiled 43 to 26 computations (39.5% saved)

bsearch272.0ms (1.7%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
137.0ms	1.3648881805555198e+81	2.2093273454831618e+87
19.0ms	7.920151886179179e-28	2.225167884180271e-24
20.0ms	1.0253906347513692e-187	2.1413978579610536e-184
18.0ms	3.988417099435108e-232	2.996250599012173e-230
19.0ms	8.900092287523576e-300	2.6219064234199987e-296
20.0ms	-5.4958845846448846e-285	-5.228075567475118e-290
20.0ms	-3.4315903237798376e-224	-7.83288862050079e-225
19.0ms	-4.1006611721142095e-83	-1.2945306547939697e-83

Compiler

Compiled 146 to 113 computations (22.6% saved)

regimes163.0ms (1%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	t
46.0ms	x
25.0ms	y
20.0ms	z

Results

Error	Segments	Branch
38.2b	4	`x`
35.8b	5	`y`
34.9b	4	`z`
37.9b	8	`t`

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch99.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
33.0ms	4.509960072977815e+19	5.887593493395514e+39
33.0ms	3.7185797476227183e-81	3.7306453993956905e-80
32.0ms	-515.266684896522	-401.74548053723584

Compiler

Compiled 20 to 14 computations (30% saved)

regimes135.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	t
33.0ms	y
31.0ms	x
23.0ms	z

Results

Error	Segments	Branch
44.6b	3	`x`
44.2b	4	`y`
36.8b	3	`z`
42.8b	5	`t`

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch75.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	7068537.597878154	182925747631640.4
36.0ms	-515.266684896522	-401.74548053723584

Compiler

Compiled 20 to 14 computations (30% saved)

regimes34.0ms (0.2%)

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:

11.0ms	y
7.0ms	t
7.0ms	x
7.0ms	z

Results

Error	Segments	Branch
47.1b	1	`x`
47.1b	1	`y`
47.1b	1	`z`
47.1b	1	`t`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
16×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	161	788
1	198	782
2	221	782
3	231	782
4	235	782

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 y -289897607787245/40564819207303340847894502572032) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 3578005916622737/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 4794041763080119/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (+.f64 (.f64 y t) x) (if (<=.f64 y 429936339753991/383123885216472214589586756787577295904684780545900544) (+.f64 x (.f64 z (-.f64 x t))) (+.f64 (*.f64 y (-.f64 t x)) x)))))
(if (<=.f64 z -4532333691594545/8796093022208) (.f64 z (-.f64 x t)) (if (<=.f64 z 6106253920018579/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 z 622547672556811/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (+.f64 x (.f64 (neg.f64 t) z)) (if (<=.f64 z 45099600729778151424) (+.f64 (.f64 y (-.f64 t x)) x) (*.f64 z (-.f64 x t))))))
(if (<=.f64 y -289897607787245/40564819207303340847894502572032) (.f64 (-.f64 t x) y) (if (<=.f64 y -3734299203653555/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504) (+.f64 x (.f64 (neg.f64 t) z)) (if (<=.f64 y -7527866010633639/1371531017198422170813984062796802317518598158983083017528000497114049345439918236791293924884090698403321181334468027936239545965686161975806025929561417574903624675177501566133897549447983506160378135315589948797898488482227042247573189625097864053065113149143877397460535018451535921515162325512880128) (.f64 (+.f64 z 1) x) (if (<=.f64 y 6846299800273901/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (+.f64 x (.f64 (neg.f64 t) z)) (if (<=.f64 y 3578005916622737/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (.f64 z (-.f64 x t)) (if (<=.f64 y 3411004095871348719484928) (+.f64 (.f64 y t) x) (*.f64 (-.f64 t x) y)))))))
(if (<=.f64 z -4532333691594545/8796093022208) (.f64 z (-.f64 x t)) (if (<=.f64 z -6091361584274365/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (+.f64 (.f64 y t) x) (if (<=.f64 z -2370131966571017/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 t (-.f64 y z)) (if (<=.f64 z -8047477798619315/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (-.f64 x (.f64 y x)) (if (<=.f64 z 45099600729778151424) (+.f64 (.f64 y t) x) (.f64 z (-.f64 x t)))))))
(if (<=.f64 z -5771537860291729555456) (.f64 t (-.f64 y z)) (if (<=.f64 z -258235062127079/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 (+.f64 z 1) x) (if (<=.f64 z -2370131966571017/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 t (-.f64 y z)) (if (<=.f64 z -8047477798619315/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (-.f64 x (.f64 y x)) (if (<=.f64 z 45099600729778151424) (+.f64 (.f64 y t) x) (if (<=.f64 z 2199999999999999920710040529670331483612544378959989593600801520065378065349691062591122087604582144270412251536419537947817092240480889814921330324447862718464) (.f64 z x) (if (<=.f64 z 819999999999999958874632940774243345202685631235855802175127509488122358556421226534524166623829305139927692466063914259189146772449161219214970414991447386968850721587044147874127385887939344792045964752447111643954721115693665897128805793792) (.f64 t (-.f64 y z)) (.f64 z x))))))))
(if (<=.f64 x -8967727971610349/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (-.f64 x (.f64 y x)) (if (<=.f64 x -7361109545686647/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672) (+.f64 (.f64 y t) x) (if (<=.f64 x 6710733226082431/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 z (neg.f64 t)) (if (<=.f64 x 697167322372587/1747979975492856518824388667826833403974715525645181428798916607807071777670465341756914322865272727992514618482604963383447074020817466839626771608982213111603568988524121832413745194182066575698549805189925857389888339453536229468710863470854144) (+.f64 (.f64 y t) x) (if (<=.f64 x 4018615253990257/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392) (.f64 z (neg.f64 t)) (if (<=.f64 x 8831264457367179/11150372599265311570767859136324180752990208) (+.f64 (.f64 y t) x) (*.f64 (+.f64 z 1) x)))))))
(if (<=.f64 z -133926226705408243584674562048) (.f64 z (neg.f64 t)) (if (<=.f64 z -8203423996027117/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (+.f64 (.f64 y t) x) (if (<=.f64 z -8047477798619315/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (-.f64 x (.f64 y x)) (if (<=.f64 z 45099600729778151424) (+.f64 (.f64 y t) x) (*.f64 z x)))))
(if (<=.f64 z -133926226705408243584674562048) (.f64 z (neg.f64 t)) (if (<=.f64 z 45099600729778151424) (+.f64 (.f64 y t) x) (*.f64 z x)))
(if (<=.f64 y -31999999999999997481020156661305047741936103969893883257919943171938052749756727296) (.f64 y (neg.f64 x)) (if (<=.f64 y -289897607787245/40564819207303340847894502572032) (.f64 y t) (if (<=.f64 y -4528086637444911/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) x (if (<=.f64 y -5370461943081043/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 z (neg.f64 t)) (if (<=.f64 y 6846299800273901/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) x (if (<=.f64 y 3578005916622737/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (.f64 z x) (if (<=.f64 y 1251998977415433/4835703278458516698824704) x (*.f64 y t))))))))
(if (<=.f64 x -5605733825497725/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) x (if (<=.f64 x -55863998551501/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) (.f64 z (neg.f64 t)) (if (<=.f64 x -7361109545686647/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672) (.f64 y t) (if (<=.f64 x 6710733226082431/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 z (neg.f64 t)) (if (<=.f64 x 697167322372587/1747979975492856518824388667826833403974715525645181428798916607807071777670465341756914322865272727992514618482604963383447074020817466839626771608982213111603568988524121832413745194182066575698549805189925857389888339453536229468710863470854144) (.f64 y t) (if (<=.f64 x 4018615253990257/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392) (.f64 z (neg.f64 t)) (if (<=.f64 x 8831264457367179/11150372599265311570767859136324180752990208) (.f64 y t) (if (<=.f64 x 1399999999999999974044465188777845197044126695619203247650073834211578811250638848) (*.f64 z x) x))))))))
(if (<=.f64 z -4532333691594545/8796093022208) (.f64 z x) (if (<=.f64 z 496427383310011/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) x (if (<=.f64 z 45099600729778151424) (.f64 y t) (*.f64 z x))))
(if (<=.f64 z -4532333691594545/8796093022208) (.f64 z x) (if (<=.f64 z 1897446113339567/268435456) x (.f64 z x)))
x

Outputs
(fma.f64 (-.f64 y z) (-.f64 t x) x)
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
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(if (<=.f64 x -5605733825497725/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) x (if (<=.f64 x -55863998551501/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) (.f64 z (neg.f64 t)) (if (<=.f64 x -7361109545686647/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672) (.f64 y t) (if (<=.f64 x 6710733226082431/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 z (neg.f64 t)) (if (<=.f64 x 697167322372587/1747979975492856518824388667826833403974715525645181428798916607807071777670465341756914322865272727992514618482604963383447074020817466839626771608982213111603568988524121832413745194182066575698549805189925857389888339453536229468710863470854144) (.f64 y t) (if (<=.f64 x 4018615253990257/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392) (.f64 z (neg.f64 t)) (if (<=.f64 x 8831264457367179/11150372599265311570767859136324180752990208) (.f64 y t) (if (<=.f64 x 1399999999999999974044465188777845197044126695619203247650073834211578811250638848) (*.f64 z x) x))))))))
(if (<=.f64 z -4532333691594545/8796093022208) (.f64 z x) (if (<=.f64 z 496427383310011/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) x (if (<=.f64 z 45099600729778151424) (.f64 y t) (*.f64 z x))))
(if (<=.f64 z -4532333691594545/8796093022208) (.f64 z x) (if (<=.f64 z 1897446113339567/268435456) x (.f64 z x)))
x

Compiler

Compiled 603 to 319 computations (47.1% saved)

soundness638.0ms (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)

end254.0ms (1.6%)

Compiler: Compiled 547 to 209 computations (61.8% 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	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

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

Iter	Nodes	Cost
0	9	228
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	579	156
9	733	156
10	747	156

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

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

Iter	Nodes	Cost
0	9	228
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	579	156
9	733	156
10	747	156

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

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