Details

analyze288.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.5s (9%)

Results

868.0ms	8256×	body	256	valid
570.0ms	3933×	body	256	invalid

preprocess79.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify271.0ms (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	(fma.f64 (-.f64 y z) (-.f64 t x) x)
▶	0.1b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t 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)

series11.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

simplify334.0ms (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))
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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)))
(fma.f64 (-.f64 t x) (-.f64 y z) x)
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(+.f64 (.f64 -1 (.f64 z (-.f64 t x))) (+.f64 x (*.f64 y (-.f64 t x))))
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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)))
(fma.f64 (-.f64 t x) (-.f64 y z) x)
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 t x) (-.f64 y z) x)
(+.f64 (.f64 -1 (.f64 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)))
(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)))
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(*.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)))
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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)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
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(fma.f64 t (-.f64 y z) (*.f64 x (+.f64 1 (neg.f64 (-.f64 y z)))))
(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 t x) (-.f64 y z) x)
(+.f64 (.f64 -1 (.f64 (-.f64 y z) x)) (+.f64 (*.f64 t (-.f64 y z)) x))
(fma.f64 t (-.f64 y z) (*.f64 x (+.f64 1 (neg.f64 (-.f64 y z)))))
(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 t x) (-.f64 y z) x)
(*.f64 t (-.f64 y z))
(+.f64 (.f64 -1 (.f64 (-.f64 y z) x)) (+.f64 (*.f64 t (-.f64 y z)) x))
(fma.f64 t (-.f64 y z) (*.f64 x (+.f64 1 (neg.f64 (-.f64 y z)))))
(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 t x) (-.f64 y z) x)
(+.f64 (.f64 -1 (.f64 (-.f64 y z) x)) (+.f64 (*.f64 t (-.f64 y z)) x))
(fma.f64 t (-.f64 y z) (*.f64 x (+.f64 1 (neg.f64 (-.f64 y z)))))
(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 t x) (-.f64 y z) x)
(+.f64 (.f64 -1 (.f64 (-.f64 y z) x)) (+.f64 (*.f64 t (-.f64 y z)) x))
(fma.f64 t (-.f64 y z) (*.f64 x (+.f64 1 (neg.f64 (-.f64 y z)))))
(-.f64 (fma.f64 t (-.f64 y z) x) (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 t x) (-.f64 y z) x)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

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)

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

Outputs

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

simplify294.0ms (1.8%)

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)

eval30.0ms (0.2%)

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

prune38.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	164	12	176
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	165	13	178

Error

Counts

178 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
✓	0.1b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
	0.1b	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
▶	26.2b	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
	22.1b	(fma.f64 (-.f64 t x) y x)
	22.1b	(+.f64 (*.f64 y (-.f64 t x)) x)
▶	0.0b	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))
	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) (neg.f64 z))))
▶	37.7b	(*.f64 t (-.f64 y z))
	21.0b	(+.f64 x (*.f64 t (-.f64 y z)))
	40.6b	(*.f64 z (-.f64 x t))
▶	26.2b	(+.f64 x (*.f64 x (-.f64 z y)))
▶	38.9b	(*.f64 (-.f64 t x) y)

Compiler

Compiled 327 to 200 computations (38.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 43 to 9 computations (79.1% saved)

series15.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
426×	`fma-def_binary64`
392×	`pow-prod-down_binary64`
287×	`pow2_binary64`
205×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	224	30
2	3302	28

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

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

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

simplify343.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2386×	`fma-neg_binary64`
846×	`fma-def_binary64`
526×	`associate-+l-_binary64`
517×	`sub-neg_binary64`
500×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	1933
1	207	1603
2	526	1241
3	1467	1169
4	3753	1169
5	4606	1169
6	4843	1169
7	4855	1169
8	4855	1169
9	5490	1169
10	5850	1169
11	5850	1169
12	7970	1169
13	7970	1169
14	7970	1169

Stop Event

1×

saturated

Counts

274 → 183

Calls

Call 1

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

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

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))
1.0ms	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))
0.0ms	y	@	0	(*.f64 t (-.f64 y z))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 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))))))))

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

55 → 25

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	159	15
2	2406	15

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.4%)

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))

localize10.0ms (0.1%)

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)

series5.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite61.0ms (0.4%)

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)))))))

simplify47.0ms (0.3%)

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)

eval64.0ms (0.4%)

Compiler: Compiled 4411 to 1338 computations (69.7% saved)

prune80.0ms (0.5%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	323	13	336
Fresh	2	5	7
Picked	1	0	1
Done	2	3	5
Total	328	21	349

Error

Counts

349 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) (neg.f64 z))))
	50.5b	(*.f64 t (neg.f64 z))
	31.9b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
✓	0.1b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
	38.9b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))
	11.2b	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 z x)))
	38.9b	(fma.f64 y t (neg.f64 (*.f64 y x)))
	52.0b	(*.f64 y (neg.f64 x))
▶	49.5b	(*.f64 y t)
	26.2b	(*.f64 (+.f64 (-.f64 z y) 1) x)
▶	21.0b	(+.f64 x (*.f64 t (-.f64 y z)))
	22.1b	(fma.f64 (-.f64 t x) y x)
	53.1b	(*.f64 z x)
	22.1b	(+.f64 (*.f64 y (-.f64 t x)) x)
	35.5b	(-.f64 x (*.f64 y x))
	37.7b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
▶	24.4b	(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (*.f64 z x) x))
✓	37.7b	(*.f64 t (-.f64 y z))
▶	40.6b	(*.f64 z (-.f64 x t))
	36.9b	(*.f64 (+.f64 1 z) x)
✓	38.9b	(*.f64 (-.f64 t x) y)

Compiler

Compiled 437 to 284 computations (35% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 10 computations (80% saved)

series25.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

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

rewrite161.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 285

Calls

Call 1

Inputs
(*.f64 (-.f64 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))))

Outputs

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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))))))

simplify636.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2842×	`fma-neg_binary64`
470×	`fma-def_binary64`
461×	`associate-+l-_binary64`
435×	`sub-neg_binary64`
377×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	2059
1	208	1715
2	559	1169
3	1628	1169
4	3910	1169
5	4969	1169
6	5178	1169
7	5202	1169
8	5202	1169
9	5639	1169
10	5744	1169
11	5744	1169
12	7970	1169
13	7970	1169
14	7970	1169

Stop Event

1×

saturated

Counts

417 → 323

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

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

localize9.0ms (0.1%)

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

localize10.0ms (0.1%)

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)

series183.0ms (1.1%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
177.0ms	t	@	0	(*.f64 z (-.f64 x t))
1.0ms	t	@	inf	(*.f64 z (-.f64 x t))
1.0ms	z	@	0	(*.f64 z (-.f64 x t))
1.0ms	z	@	inf	(*.f64 z (-.f64 x t))
1.0ms	z	@	-inf	(*.f64 z (-.f64 x t))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series8.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

113 → 77

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 13 computations (62.9% saved)

series11.0ms (0.1%)

Counts

2 → 42

Calls

15 calls:

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

rewrite128.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

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

Outputs

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

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

simplify225.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

226 → 199

Calls

Call 1

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

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

eval255.0ms (1.6%)

Compiler: Compiled 11247 to 2983 computations (73.5% saved)

prune172.0ms (1.1%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	662	11	673
Fresh	4	9	13
Picked	1	0	1
Done	1	6	7
Total	668	26	694

Error

Counts

694 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
	38.9b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))
✓	37.7b	(*.f64 t (-.f64 y z))
	40.6b	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
	11.2b	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 z x)))
	38.9b	(fma.f64 y t (neg.f64 (*.f64 y x)))
	50.5b	(*.f64 z (neg.f64 t))
▶	53.1b	(*.f64 z x)
	52.0b	(*.f64 y (neg.f64 x))
✓	49.5b	(*.f64 y t)
	26.2b	(*.f64 (+.f64 (-.f64 z y) 1) x)
✓	21.0b	(+.f64 x (*.f64 t (-.f64 y z)))
	45.9b	x
✓	40.6b	(*.f64 z (-.f64 x t))
	32.9b	(fma.f64 t y x)
	36.9b	(*.f64 (+.f64 1 z) x)
	22.1b	(fma.f64 (-.f64 t x) y x)
	35.5b	(-.f64 x (*.f64 y x))
▶	0.0b	(+.f64 x (-.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) z)))
	37.7b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
	34.1b	(+.f64 x (*.f64 t (neg.f64 z)))
	51.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t))
▶	20.9b	(+.f64 x (+.f64 (.f64 y t) (.f64 (neg.f64 z) t)))
▶	32.9b	(+.f64 (*.f64 y t) x)
▶	22.1b	(+.f64 (*.f64 y (-.f64 t x)) x)
✓	38.9b	(*.f64 (-.f64 t x) y)

Compiler

Compiled 481 to 314 computations (34.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 9 computations (80% saved)

series43.0ms (0.3%)

Counts

3 → 120

Calls

33 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(*.f64 (-.f64 t x) z)
0.0ms	t	@	-inf	(*.f64 (-.f64 t x) z)
0.0ms	t	@	0	(*.f64 (-.f64 t x) z)
0.0ms	t	@	-inf	(-.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) z))
0.0ms	x	@	-inf	(+.f64 x (-.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) z)))

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary64`
424×	`fma-neg_binary64`
344×	`pow2_binary64`
234×	`pow1/3_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	243	28
2	3823	28

Stop Event

1×	node limit

Counts

3 → 198

Calls

Call 1

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

Outputs

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simplify411.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2723×	`fma-neg_binary64`
400×	`fma-def_binary64`
361×	`sub-neg_binary64`
346×	`associate-+l-_binary64`
341×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	2012
1	227	1502
2	616	1085
3	1734	1085
4	3860	1085
5	4528	1085
6	4691	1085
7	4692	1085
8	4692	1085
9	5048	1085
10	5096	1085
11	5096	1085
12	7239	1085
13	7239	1085
14	7239	1085

Stop Event

1×

saturated

Counts

318 → 240

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0%)

Counts

2 → 57

Calls

18 calls:

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

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
883×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
864×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	159	15
2	2348	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(*.f64 y (-.f64 t x))
(+.f64 (*.f64 y (-.f64 t x)) 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 (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 pow.f64 (pow.f64 (*.f64 y (-.f64 t x)) 3) 1/3)))) (#(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 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))))))))

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

simplify239.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

409×	`fma-def_binary64`
296×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
60×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	507
1	60	396
2	116	396
3	211	396
4	372	396
5	675	396
6	1058	396
7	1297	396
8	1416	396
9	1418	396

Stop Event

1×

saturated

Counts

109 → 68

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series46.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
35.0ms	t	@	0	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
1.0ms	t	@	inf	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
1.0ms	y	@	0	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
1.0ms	t	@	-inf	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
1.0ms	z	@	0	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))

rewrite179.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`fma-def_binary64`
548×	`log-prod_binary64`
439×	`pow-prod-down_binary64`
310×	`fma-neg_binary64`
280×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	227	15
2	3472	15

Stop Event

1×	node limit

Counts

2 → 280

Calls

Call 1

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

Outputs

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

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

315×	`fma-def_binary64`
292×	`fma-neg_binary64`
55×	`cancel-sign-sub-inv_binary64`
46×	`distribute-rgt-in_binary64`
46×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	861
1	62	584
2	132	584
3	249	584
4	484	584
5	748	584
6	1017	584
7	1161	584
8	1223	584
9	1229	584

Stop Event

1×

saturated

Counts

364 → 297

Calls

Call 1

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

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

eval336.0ms (2.1%)

Compiler: Compiled 10969 to 2776 computations (74.7% saved)

prune595.0ms (3.7%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	659	8	667
Fresh	6	9	15
Picked	1	0	1
Done	1	9	10
Total	667	26	693

Error

Counts

693 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
	38.9b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))
✓	37.7b	(*.f64 t (-.f64 y z))
	40.6b	(+.f64 (.f64 z x) (.f64 z (neg.f64 t)))
	50.5b	(*.f64 z (neg.f64 t))
✓	53.1b	(*.f64 z x)
	52.0b	(*.f64 y (neg.f64 x))
✓	49.5b	(*.f64 y t)
	26.2b	(*.f64 (+.f64 (-.f64 z y) 1) x)
✓	21.0b	(+.f64 x (*.f64 t (-.f64 y z)))
✓	40.6b	(*.f64 z (-.f64 x t))
	45.9b	x
✓	32.9b	(+.f64 (*.f64 y t) x)
	35.5b	(-.f64 x (*.f64 y x))
	36.9b	(*.f64 (+.f64 1 z) x)
	13.7b	(+.f64 x (-.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 t x) z)))
	20.9b	(+.f64 x (-.f64 (.f64 y t) (.f64 t z)))
	37.7b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
✓	38.9b	(*.f64 (-.f64 t x) y)
	38.9b	(fma.f64 y t (*.f64 (neg.f64 y) x))
	32.9b	(fma.f64 y t x)
	22.1b	(fma.f64 (-.f64 t x) y x)
	51.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 t t)) z) (+.f64 x t))
	11.2b	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 z x)))
✓	22.1b	(+.f64 (*.f64 y (-.f64 t x)) x)
	34.1b	(-.f64 x (*.f64 t z))

Compiler

Compiled 269 to 177 computations (34.2% saved)

regimes439.0ms (2.7%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

6 calls:

135.0ms	z
98.0ms	(-.f64 y z)
58.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
53.0ms	x
29.0ms	t

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))`
0.0b	1	`(-.f64 y z)`

Compiler

Compiled 373 to 120 computations (67.8% saved)

regimes306.0ms (1.9%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

7 calls:

63.0ms	t
55.0ms	y
52.0ms	(-.f64 y z)
49.0ms	(-.f64 y z)
26.0ms	(+.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)`
0.0b	1	`(-.f64 y z)`

Compiler

Compiled 367 to 123 computations (66.5% saved)

regimes390.0ms (2.4%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

6 calls:

261.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
21.0ms	(-.f64 y z)
20.0ms	y
19.0ms	z
17.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`t`
0.1b	1	`(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))`
0.1b	1	`(-.f64 y z)`

Compiler

Compiled 225 to 88 computations (60.9% saved)

regimes711.0ms (4.4%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

6 calls:

186.0ms	x
178.0ms	(-.f64 y z)
171.0ms	(-.f64 y z)
69.0ms	y
61.0ms	z

Results

Error	Segments	Branch
10.4b	4	`x`
12.1b	3	`y`
7.8b	3	`z`
11.1b	3	`t`
12.0b	10	`(-.f64 y z)`
12.0b	10	`(-.f64 y z)`

Compiler

Compiled 177 to 73 computations (58.8% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	91141986.4606301	157153205.52837175
19.0ms	-116674237913323800.0	-3619340018245914.5

Compiler

Compiled 20 to 14 computations (30% saved)

regimes754.0ms (4.6%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

6 calls:

204.0ms	(-.f64 y z)
171.0ms	(-.f64 y z)
156.0ms	t
80.0ms	z
60.0ms	y

Results

Error	Segments	Branch
10.4b	4	`x`
12.1b	3	`y`
7.8b	3	`z`
11.1b	3	`t`
12.0b	10	`(-.f64 y z)`
12.0b	10	`(-.f64 y z)`

Compiler

Compiled 135 to 62 computations (54.1% saved)

bsearch74.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	91141986.4606301	157153205.52837175
54.0ms	-116674237913323800.0	-3619340018245914.5

Compiler

Compiled 20 to 14 computations (30% saved)

regimes828.0ms (5.1%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

6 calls:

329.0ms	(-.f64 y z)
264.0ms	(-.f64 y z)
86.0ms	y
74.0ms	z
44.0ms	x

Results

Error	Segments	Branch
13.4b	5	`x`
14.3b	6	`y`
15.4b	4	`z`
17.4b	3	`t`
15.1b	9	`(-.f64 y z)`
15.1b	9	`(-.f64 y z)`

Compiler

Compiled 114 to 57 computations (50% saved)

bsearch75.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.3870105224267186e-52	1.6615441467568702e-50
18.0ms	-2.3928543910031956e-144	-5.179111161231406e-146
19.0ms	-1.48141098893371e-130	-2.887326901736866e-136
19.0ms	-9.576090861113763e-74	-2.0982731826132592e-91

Compiler

Compiled 20 to 14 computations (30% saved)

regimes377.0ms (2.3%)

Counts

17 → 10

Calls

Call 1

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

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

Calls

6 calls:

94.0ms	(-.f64 y z)
90.0ms	(-.f64 y z)
63.0ms	x
51.0ms	t
42.0ms	y

Results

Error	Segments	Branch
17.9b	7	`x`
15.6b	5	`y`
15.4b	4	`z`
22.5b	6	`t`
14.9b	10	`(-.f64 y z)`
14.9b	10	`(-.f64 y z)`

Compiler

Compiled 107 to 53 computations (50.5% saved)

bsearch1.0ms (0%)

Algorithm

9×	left-value

Steps

Time	Left	Right
0.0ms	1.2235105951615249e+144	1.0025833244431187e+145
0.0ms	7.790238874578222e+57	1.464346514326742e+60
0.0ms	1.1308206687897626e-14	1.4873741164700178e-8
0.0ms	3.691761484571409e-217	3.464311126009969e-209
0.0ms	-8.198688835302201e-18	-4.592577687699531e-22
0.0ms	-8.63264809106573e+26	-10172612919778337000.0
0.0ms	-2.088840915040933e+63	-7.553516815338284e+62
0.0ms	-3.5559118645962074e+124	-1.718219635134786e+121
0.0ms	-2.080339438972869e+151	-4.151333681589292e+149

Compiler

Compiled 20 to 14 computations (30% saved)

regimes304.0ms (1.9%)

Counts

15 → 4

Calls

Call 1

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

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

Calls

6 calls:

61.0ms	(-.f64 y z)
59.0ms	(-.f64 y z)
47.0ms	t
46.0ms	y
46.0ms	x

Results

Error	Segments	Branch
19.3b	6	`x`
22.6b	6	`y`
15.4b	4	`z`
22.5b	6	`t`
19.7b	8	`(-.f64 y z)`
19.7b	8	`(-.f64 y z)`

Compiler

Compiled 96 to 50 computations (47.9% saved)

bsearch55.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	91141986.4606301	157153205.52837175
18.0ms	-4.484975326021595e-158	-2.965907956572185e-158
18.0ms	-116674237913323800.0	-3619340018245914.5

Compiler

Compiled 20 to 14 computations (30% saved)

regimes355.0ms (2.2%)

Counts

14 → 10

Calls

Call 1

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

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

Calls

6 calls:

79.0ms	(-.f64 y z)
78.0ms	(-.f64 y z)
70.0ms	x
48.0ms	t
47.0ms	y

Results

Error	Segments	Branch
19.5b	6	`x`
22.6b	6	`y`
23.8b	3	`z`
22.9b	6	`t`
19.5b	10	`(-.f64 y z)`
19.5b	10	`(-.f64 y z)`

Compiler

Compiled 91 to 48 computations (47.3% saved)

bsearch2.0ms (0%)

Algorithm

9×	left-value

Steps

Time	Left	Right
0.0ms	1.355579229679892e+127	1.646418477356119e+127
0.0ms	1.9430534978273712e+43	4.3375522900796194e+51
0.0ms	5.772770447447739e-50	5.156098069606677e-46
0.0ms	3.691761484571409e-217	3.464311126009969e-209
0.0ms	-7.6346447822744405e+31	-8.63264809106573e+26
0.0ms	-2.088840915040933e+63	-7.553516815338284e+62
0.0ms	-1.4259639260510307e+79	-6.828876494067626e+77
0.0ms	-1.097188961799254e+112	-8.136435226591918e+109
0.0ms	-3.5559118645962074e+124	-1.718219635134786e+121

Compiler

Compiled 20 to 14 computations (30% saved)

regimes399.0ms (2.5%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

4 calls:

139.0ms	y
111.0ms	x
78.0ms	z
66.0ms	t

Results

Error	Segments	Branch
23.3b	8	`x`
24.3b	4	`y`
22.9b	6	`z`
24.6b	5	`t`

Compiler

Compiled 72 to 36 computations (50% saved)

bsearch219.0ms (1.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
34.0ms	3.1212514269023946e+22	8.63264809106573e+26
35.0ms	-4.484975326021595e-158	-2.965907956572185e-158
35.0ms	-116674237913323800.0	-3619340018245914.5
36.0ms	-8.363837729284926e+20	-116674237913323800.0
79.0ms	-1.0025833244431187e+145	-4.189447692731455e+135

Compiler

Compiled 173 to 131 computations (24.3% saved)

regimes203.0ms (1.3%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

4 calls:

78.0ms	t
43.0ms	y
41.0ms	z
37.0ms	x

Results

Error	Segments	Branch
26.2b	5	`x`
23.0b	6	`y`
25.9b	7	`z`
25.9b	6	`t`

Compiler

Compiled 57 to 32 computations (43.9% saved)

bsearch247.0ms (1.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
15.0ms	1.355579229679892e+127	1.646418477356119e+127
19.0ms	17073988211.57739	35822762743293244.0
92.0ms	-2.088840915040933e+63	-5.142553864564898e+59
74.0ms	-5.651124735711262e+87	-5.3544280507839e+83
47.0ms	-3.767117330750686e+111	-8.136435226591918e+109

Compiler

Compiled 478 to 360 computations (24.7% saved)

regimes151.0ms (0.9%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	y
43.0ms	t
32.0ms	x
27.0ms	z

Results

Error	Segments	Branch
28.8b	4	`x`
30.6b	8	`y`
26.9b	5	`z`
29.6b	7	`t`

Compiler

Compiled 52 to 30 computations (42.3% saved)

bsearch96.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	3.1212514269023946e+22	8.63264809106573e+26
18.0ms	-116674237913323800.0	-3619340018245914.5
18.0ms	-8.363837729284926e+20	-116674237913323800.0
42.0ms	-1.0025833244431187e+145	-4.189447692731455e+135

Compiler

Compiled 173 to 131 computations (24.3% saved)

regimes192.0ms (1.2%)

Counts

8 → 10

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	x
55.0ms	y
45.0ms	z
34.0ms	t

Results

Error	Segments	Branch
32.4b	10	`x`
31.0b	10	`y`
32.2b	8	`z`
37.9b	7	`t`

Compiler

Compiled 47 to 28 computations (40.4% saved)

bsearch295.0ms (1.8%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
28.0ms	1.355579229679892e+127	1.646418477356119e+127
35.0ms	17073988211.57739	35822762743293244.0
35.0ms	5.772770447447739e-50	5.156098069606684e-46
34.0ms	4.089327388540999e-89	5.245379165008542e-82
18.0ms	7.346391320372181e-249	2.7348335279444666e-244
19.0ms	2.5986446120058805e-281	1.1507702278672907e-278
18.0ms	-0.0034752655372737463	-0.0007358819558170309
64.0ms	-5.651124735711262e+87	-5.3544280507839e+83
43.0ms	-3.767117330750686e+111	-8.136435226591918e+109

Compiler

Compiled 326 to 248 computations (23.9% saved)

regimes282.0ms (1.7%)

Counts

7 → 8

Calls

Call 1

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

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

Calls

4 calls:

75.0ms	z
69.0ms	y
68.0ms	x
67.0ms	t

Results

Error	Segments	Branch
35.1b	6	`x`
34.8b	7	`y`
32.3b	8	`z`
38.3b	7	`t`

Compiler

Compiled 43 to 26 computations (39.5% saved)

bsearch273.0ms (1.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
18.0ms	3.1212514269023946e+22	8.63264809106573e+26
34.0ms	5.276432870778914e-26	4.2098507877402806e-24
36.0ms	4.682242514147119e-197	1.107787624324008e-196
35.0ms	-8.422743967248443e-301	-4.3174202716375347e-305
35.0ms	-1.4427937764914342e-18	-6.514544600750082e-20
35.0ms	-8.363837729284926e+20	-116674237913323800.0
80.0ms	-1.0025833244431187e+145	-4.189447692731455e+135

Compiler

Compiled 173 to 131 computations (24.3% saved)

regimes92.0ms (0.6%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	t
24.0ms	z
21.0ms	y
17.0ms	x

Results

Error	Segments	Branch
38.1b	4	`x`
36.0b	5	`y`
34.1b	6	`z`
38.9b	7	`t`

Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch90.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
18.0ms	3.1212514269023946e+22	8.63264809106573e+26
18.0ms	5.276432870778914e-26	4.2098507877402806e-24
18.0ms	4.682242514147119e-197	1.107787624324008e-196
18.0ms	-8.422743967248443e-301	-4.3174202716375347e-305
18.0ms	-3619340018245914.5	-0.00014006096251881157

Compiler

Compiled 20 to 14 computations (30% saved)

regimes47.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 z x)

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

Calls

4 calls:

17.0ms	t
10.0ms	y
10.0ms	z
10.0ms	x

Results

Error	Segments	Branch
44.2b	3	`x`
43.4b	3	`y`
37.0b	3	`z`
43.2b	5	`t`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.04196498091019673	31074.012090485998
18.0ms	-3619340018245914.5	-0.00014006096251881157

Compiler

Compiled 20 to 14 computations (30% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

4 calls:

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

Results

Error	Segments	Branch
45.9b	1	`x`
45.9b	1	`y`
45.9b	1	`z`
45.9b	1	`t`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

111×	`cancel-sign-sub-inv_binary64`
107×	`distribute-rgt-neg-in_binary64`
87×	`neg-sub0_binary64`
87×	`neg-mul-1_binary64`
81×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	953
1	235	951
2	275	951
3	309	949
4	375	949
5	484	949
6	611	949
7	739	949
8	897	949
9	987	949
10	1058	949
11	1121	949
12	1147	949
13	1151	949

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))
(+.f64 x (-.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) z)))
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 (.f64 y (-.f64 t x)) x) (+.f64 (.f64 z x) (.f64 z (neg.f64 t)))))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 (.f64 y (-.f64 t x)) x) (*.f64 z (-.f64 x t))))
(if (<=.f64 x -6095887998980195/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 (+.f64 (-.f64 z y) 1) x) (if (<=.f64 x -7399348171401583/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (.f64 (-.f64 t x) y) (if (<=.f64 x -2102587036722175/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 (+.f64 1 z) x) (if (<=.f64 x 934843242785027/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 t (-.f64 y z)) (*.f64 (+.f64 (-.f64 z y) 1) x)))))
(if (<=.f64 (-.f64 y z) -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176) (.f64 (-.f64 t x) y) (if (<=.f64 (-.f64 y z) -19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) -2000000000000000115715919885453939654786757378350080876345294848) (.f64 (-.f64 t x) y) (if (<=.f64 (-.f64 y z) -500000000000000006643777536) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) -6490371073168535/1298074214633706907132624082305024) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 x (.f64 t z)) (if (<=.f64 (-.f64 y z) 6338253001141147/316912650057057350374175801344) (+.f64 (.f64 y t) x) (if (<=.f64 (-.f64 y z) 9999999999999999438119489974413630815797154428513196965888) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880) (.f64 (-.f64 t x) y) (.f64 t (-.f64 y z)))))))))))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z -5546353739909445/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 x (.f64 y x)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 (.f64 y t) x) (.f64 z (-.f64 x t)))))
(if (<=.f64 (-.f64 y z) -19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048) (-.f64 x (.f64 y x)) (if (<=.f64 (-.f64 y z) -9999999999999999673560075006595519222746403606649979913266024618633003221909504) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) -2000000000000000115715919885453939654786757378350080876345294848) (-.f64 x (.f64 y x)) (if (<=.f64 (-.f64 y z) -50000000000000002683081102196736) (.f64 (+.f64 1 z) x) (if (<=.f64 (-.f64 y z) 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 x (.f64 t z)) (if (<=.f64 (-.f64 y z) 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768) (+.f64 (.f64 y t) x) (if (<=.f64 (-.f64 y z) 20000000000000000278744233918828198261424128) (-.f64 x (.f64 t z)) (if (<=.f64 (-.f64 y z) 15000000000000001127617303747773129412071435965286123202243636535366488878636228069968116516466370531423989325582787894900162560) (.f64 y (neg.f64 x)) (.f64 t (-.f64 y z)))))))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 z x) (if (<=.f64 z -116674237913323808) (.f64 z (neg.f64 t)) (if (<=.f64 z -5546353739909445/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 x (.f64 y x)) (if (<=.f64 z 31212514269023946407936) (+.f64 (.f64 y t) x) (.f64 z x))))))
(if (<=.f64 y -81999999999999993922736751458548169345130291058843883016510869382551209512819232739737395973178797255401930752) (.f64 y (neg.f64 x)) (if (<=.f64 y -5500000000000000218503750704523077419030353678796111875054538772841611106631799663493120) (.f64 y t) (if (<=.f64 y -2049999999999999963324268916181853087014912836703762059811094528) (.f64 y (neg.f64 x)) (if (<=.f64 y 8951687131471487/524288) (-.f64 x (.f64 t z)) (if (<=.f64 y 16200000000000000736845167095513934693271524620052789851883341441771898468073935345769157494311870952572353602428780545551892480) (.f64 y (neg.f64 x)) (.f64 y t))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 z x) (if (<=.f64 z -116674237913323808) (.f64 z (neg.f64 t)) (if (<=.f64 z 31212514269023946407936) (-.f64 x (.f64 y x)) (*.f64 z x)))))
(if (<=.f64 y -81999999999999993922736751458548169345130291058843883016510869382551209512819232739737395973178797255401930752) (.f64 y (neg.f64 x)) (if (<=.f64 y -5500000000000000218503750704523077419030353678796111875054538772841611106631799663493120) (.f64 y t) (if (<=.f64 y -2003354186070985/576460752303423488) (.f64 y (neg.f64 x)) (if (<=.f64 y 8497528286079465/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) x (if (<=.f64 y 7402531353254589/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) (.f64 z (neg.f64 t)) (if (<=.f64 y 1465447922804543/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) x (if (<=.f64 y 6079436850972437/105312291668557186697918027683670432318895095400549111254310977536) (.f64 y t) (if (<=.f64 y 8951687131471487/524288) x (if (<=.f64 y 16200000000000000736845167095513934693271524620052789851883341441771898468073935345769157494311870952572353602428780545551892480) (.f64 y (neg.f64 x)) (*.f64 y t))))))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 z x) (if (<=.f64 z -3745706796595037/2596148429267413814265248164610048) (.f64 z (neg.f64 t)) (if (<=.f64 z -5080647343402033/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) x (if (<=.f64 z 7881354223494841/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (.f64 y t) (if (<=.f64 z 4596421289390313/87112285931760246646623899502532662132736) x (if (<=.f64 z 31212514269023946407936) (.f64 y t) (.f64 z x))))))))
(if (<=.f64 z -7238680036491829/2) (.f64 z x) (if (<=.f64 z -5080647343402033/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) x (if (<=.f64 z 7881354223494841/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (.f64 y t) (if (<=.f64 z 4596421289390313/87112285931760246646623899502532662132736) x (if (<=.f64 z 31212514269023946407936) (.f64 y t) (.f64 z x))))))
(if (<=.f64 z -7238680036491829/2) (.f64 z x) (if (<=.f64 z 6047791116472703/144115188075855872) x (.f64 z x)))
x

Outputs
(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))
(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 x (-.f64 z y))))
(+.f64 x (-.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) z)))
(+.f64 x (-.f64 (.f64 y (-.f64 t x)) (.f64 z (-.f64 t x))))
(+.f64 x (+.f64 (.f64 y (-.f64 t x)) (.f64 z (-.f64 x t))))
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 (.f64 y (-.f64 t x)) x) (+.f64 (.f64 z x) (.f64 z (neg.f64 t)))))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 x (.f64 y (-.f64 t x))) (+.f64 (.f64 x z) (.f64 z (neg.f64 t)))))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 x (.f64 y (-.f64 t x))) (-.f64 (.f64 x z) (.f64 z t))))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 (.f64 y (-.f64 t x)) x) (*.f64 z (-.f64 x t))))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 x (.f64 y (-.f64 t x))) (*.f64 z (-.f64 x t))))
(if (<=.f64 x -6095887998980195/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 (+.f64 (-.f64 z y) 1) x) (if (<=.f64 x -7399348171401583/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (.f64 (-.f64 t x) y) (if (<=.f64 x -2102587036722175/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 (+.f64 1 z) x) (if (<=.f64 x 934843242785027/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 t (-.f64 y z)) (*.f64 (+.f64 (-.f64 z y) 1) x)))))
(if (<=.f64 x -6095887998980195/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 x (+.f64 (-.f64 z y) 1)) (if (<=.f64 x -7399348171401583/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (.f64 y (-.f64 t x)) (if (<=.f64 x -2102587036722175/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 x (+.f64 z 1)) (if (<=.f64 x 934843242785027/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 (-.f64 y z) t) (*.f64 x (+.f64 (-.f64 z y) 1))))))
(if (<=.f64 x -6095887998980195/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 x (+.f64 1 (-.f64 z y))) (if (<=.f64 x -7399348171401583/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (.f64 y (-.f64 t x)) (if (<=.f64 x -2102587036722175/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 x (+.f64 z 1)) (if (<=.f64 x 934843242785027/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 (-.f64 y z) t) (*.f64 x (+.f64 1 (-.f64 z y)))))))
(if (<=.f64 (-.f64 y z) -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176) (.f64 (-.f64 t x) y) (if (<=.f64 (-.f64 y z) -19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) -2000000000000000115715919885453939654786757378350080876345294848) (.f64 (-.f64 t x) y) (if (<=.f64 (-.f64 y z) -500000000000000006643777536) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) -6490371073168535/1298074214633706907132624082305024) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 x (.f64 t z)) (if (<=.f64 (-.f64 y z) 6338253001141147/316912650057057350374175801344) (+.f64 (.f64 y t) x) (if (<=.f64 (-.f64 y z) 9999999999999999438119489974413630815797154428513196965888) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880) (.f64 (-.f64 t x) y) (.f64 t (-.f64 y z)))))))))))
(if (<=.f64 (-.f64 y z) -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) -19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) -2000000000000000115715919885453939654786757378350080876345294848) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) -500000000000000006643777536) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) -6490371073168535/1298074214633706907132624082305024) (.f64 (-.f64 y z) t) (if (<=.f64 (-.f64 y z) 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 x (.f64 z t)) (if (<=.f64 (-.f64 y z) 6338253001141147/316912650057057350374175801344) (+.f64 x (.f64 y t)) (if (<=.f64 (-.f64 y z) 9999999999999999438119489974413630815797154428513196965888) (.f64 z (-.f64 x t)) (if (<=.f64 (-.f64 y z) 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880) (.f64 y (-.f64 t x)) (.f64 (-.f64 y z) t))))))))))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z -5546353739909445/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 x (.f64 y x)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 (.f64 y t) x) (.f64 z (-.f64 x t)))))
(if (<=.f64 z -116674237913323808) (.f64 z (-.f64 x t)) (if (<=.f64 z -5546353739909445/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 x (.f64 x y)) (if (<=.f64 z 6116435174076267/67108864) (+.f64 x (.f64 y t)) (.f64 z (-.f64 x t)))))
(if (<=.f64 (-.f64 y z) -19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048) (-.f64 x (.f64 y x)) (if (<=.f64 (-.f64 y z) -9999999999999999673560075006595519222746403606649979913266024618633003221909504) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) -2000000000000000115715919885453939654786757378350080876345294848) (-.f64 x (.f64 y x)) (if (<=.f64 (-.f64 y z) -50000000000000002683081102196736) (.f64 (+.f64 1 z) x) (if (<=.f64 (-.f64 y z) 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 x (.f64 t z)) (if (<=.f64 (-.f64 y z) 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768) (+.f64 (.f64 y t) x) (if (<=.f64 (-.f64 y z) 20000000000000000278744233918828198261424128) (-.f64 x (.f64 t z)) (if (<=.f64 (-.f64 y z) 15000000000000001127617303747773129412071435965286123202243636535366488878636228069968116516466370531423989325582787894900162560) (.f64 y (neg.f64 x)) (.f64 t (-.f64 y z)))))))))))
(if (<=.f64 (-.f64 y z) -19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776) (.f64 (-.f64 y z) t) (if (<=.f64 (-.f64 y z) -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048) (-.f64 x (.f64 x y)) (if (<=.f64 (-.f64 y z) -9999999999999999673560075006595519222746403606649979913266024618633003221909504) (.f64 (-.f64 y z) t) (if (<=.f64 (-.f64 y z) -2000000000000000115715919885453939654786757378350080876345294848) (-.f64 x (.f64 x y)) (if (<=.f64 (-.f64 y z) -50000000000000002683081102196736) (.f64 x (+.f64 z 1)) (if (<=.f64 (-.f64 y z) 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 x (.f64 z t)) (if (<=.f64 (-.f64 y z) 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768) (+.f64 x (.f64 y t)) (if (<=.f64 (-.f64 y z) 20000000000000000278744233918828198261424128) (-.f64 x (.f64 z t)) (if (<=.f64 (-.f64 y z) 15000000000000001127617303747773129412071435965286123202243636535366488878636228069968116516466370531423989325582787894900162560) (.f64 y (neg.f64 x)) (.f64 (-.f64 y z) t))))))))))
(if (<=.f64 (-.f64 y z) -19999999999999998967063748934624286428789536754564174703921029226169858140974054838505074898178041767770400845226851252043776) (.f64 (-.f64 y z) t) (if (<=.f64 (-.f64 y z) -9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048) (-.f64 x (.f64 x y)) (if (<=.f64 (-.f64 y z) -9999999999999999673560075006595519222746403606649979913266024618633003221909504) (.f64 (-.f64 y z) t) (if (<=.f64 (-.f64 y z) -2000000000000000115715919885453939654786757378350080876345294848) (-.f64 x (.f64 x y)) (if (<=.f64 (-.f64 y z) -50000000000000002683081102196736) (.f64 x (+.f64 z 1)) (if (<=.f64 (-.f64 y z) 1552518092300709/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 x (.f64 z t)) (if (<=.f64 (-.f64 y z) 5265614583427859/52656145834278593348959013841835216159447547700274555627155488768) (+.f64 x (.f64 y t)) (if (<=.f64 (-.f64 y z) 20000000000000000278744233918828198261424128) (-.f64 x (.f64 z t)) (if (<=.f64 (-.f64 y z) 15000000000000001127617303747773129412071435965286123202243636535366488878636228069968116516466370531423989325582787894900162560) (.f64 x (neg.f64 y)) (.f64 (-.f64 y z) t))))))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 z x) (if (<=.f64 z -116674237913323808) (.f64 z (neg.f64 t)) (if (<=.f64 z -5546353739909445/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 x (.f64 y x)) (if (<=.f64 z 31212514269023946407936) (+.f64 (.f64 y t) x) (.f64 z x))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 x z) (if (<=.f64 z -116674237913323808) (.f64 z (neg.f64 t)) (if (<=.f64 z -5546353739909445/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 x (.f64 x y)) (if (<=.f64 z 31212514269023946407936) (+.f64 x (.f64 y t)) (.f64 x z))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 t (neg.f64 z)) (if (<=.f64 z -836383772928492568576) (.f64 x z) (if (<=.f64 z -116674237913323808) (.f64 t (neg.f64 z)) (if (<=.f64 z -5546353739909445/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (-.f64 x (.f64 x y)) (if (<=.f64 z 31212514269023946407936) (+.f64 x (.f64 y t)) (.f64 x z))))))
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(if (<=.f64 y -81999999999999993922736751458548169345130291058843883016510869382551209512819232739737395973178797255401930752) (.f64 x (neg.f64 y)) (if (<=.f64 y -5500000000000000218503750704523077419030353678796111875054538772841611106631799663493120) (.f64 y t) (if (<=.f64 y -2049999999999999963324268916181853087014912836703762059811094528) (.f64 x (neg.f64 y)) (if (<=.f64 y 8951687131471487/524288) (-.f64 x (.f64 z t)) (if (<=.f64 y 16200000000000000736845167095513934693271524620052789851883341441771898468073935345769157494311870952572353602428780545551892480) (.f64 x (neg.f64 y)) (.f64 y t))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 z x) (if (<=.f64 z -116674237913323808) (.f64 z (neg.f64 t)) (if (<=.f64 z 31212514269023946407936) (-.f64 x (.f64 y x)) (*.f64 z x)))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 x z) (if (<=.f64 z -116674237913323808) (.f64 z (neg.f64 t)) (if (<=.f64 z 31212514269023946407936) (-.f64 x (.f64 x y)) (*.f64 x z)))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 t (neg.f64 z)) (if (<=.f64 z -836383772928492568576) (.f64 x z) (if (<=.f64 z -116674237913323808) (.f64 t (neg.f64 z)) (if (<=.f64 z 31212514269023946407936) (-.f64 x (.f64 x y)) (*.f64 x z)))))
(if (<=.f64 y -81999999999999993922736751458548169345130291058843883016510869382551209512819232739737395973178797255401930752) (.f64 y (neg.f64 x)) (if (<=.f64 y -5500000000000000218503750704523077419030353678796111875054538772841611106631799663493120) (.f64 y t) (if (<=.f64 y -2003354186070985/576460752303423488) (.f64 y (neg.f64 x)) (if (<=.f64 y 8497528286079465/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) x (if (<=.f64 y 7402531353254589/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) (.f64 z (neg.f64 t)) (if (<=.f64 y 1465447922804543/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) x (if (<=.f64 y 6079436850972437/105312291668557186697918027683670432318895095400549111254310977536) (.f64 y t) (if (<=.f64 y 8951687131471487/524288) x (if (<=.f64 y 16200000000000000736845167095513934693271524620052789851883341441771898468073935345769157494311870952572353602428780545551892480) (.f64 y (neg.f64 x)) (*.f64 y t))))))))))
(if (<=.f64 y -81999999999999993922736751458548169345130291058843883016510869382551209512819232739737395973178797255401930752) (.f64 x (neg.f64 y)) (if (<=.f64 y -5500000000000000218503750704523077419030353678796111875054538772841611106631799663493120) (.f64 y t) (if (<=.f64 y -2003354186070985/576460752303423488) (.f64 x (neg.f64 y)) (if (<=.f64 y 8497528286079465/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632) x (if (<=.f64 y 7402531353254589/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272) (.f64 t (neg.f64 z)) (if (<=.f64 y 1465447922804543/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) x (if (<=.f64 y 6079436850972437/105312291668557186697918027683670432318895095400549111254310977536) (.f64 y t) (if (<=.f64 y 8951687131471487/524288) x (if (<=.f64 y 16200000000000000736845167095513934693271524620052789851883341441771898468073935345769157494311870952572353602428780545551892480) (.f64 x (neg.f64 y)) (*.f64 y t))))))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 z x) (if (<=.f64 z -3745706796595037/2596148429267413814265248164610048) (.f64 z (neg.f64 t)) (if (<=.f64 z -5080647343402033/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) x (if (<=.f64 z 7881354223494841/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (.f64 y t) (if (<=.f64 z 4596421289390313/87112285931760246646623899502532662132736) x (if (<=.f64 z 31212514269023946407936) (.f64 y t) (.f64 z x))))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (neg.f64 t)) (if (<=.f64 z -836383772928492568576) (.f64 x z) (if (<=.f64 z -3745706796595037/2596148429267413814265248164610048) (.f64 z (neg.f64 t)) (if (<=.f64 z -5080647343402033/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) x (if (<=.f64 z 7881354223494841/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (.f64 y t) (if (<=.f64 z 4596421289390313/87112285931760246646623899502532662132736) x (if (<=.f64 z 31212514269023946407936) (.f64 y t) (.f64 x z))))))))
(if (<=.f64 z -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 t (neg.f64 z)) (if (<=.f64 z -836383772928492568576) (.f64 x z) (if (<=.f64 z -3745706796595037/2596148429267413814265248164610048) (.f64 t (neg.f64 z)) (if (<=.f64 z -5080647343402033/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) x (if (<=.f64 z 7881354223494841/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (.f64 y t) (if (<=.f64 z 4596421289390313/87112285931760246646623899502532662132736) x (if (<=.f64 z 31212514269023946407936) (.f64 y t) (.f64 x z))))))))
(if (<=.f64 z -7238680036491829/2) (.f64 z x) (if (<=.f64 z -5080647343402033/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) x (if (<=.f64 z 7881354223494841/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (.f64 y t) (if (<=.f64 z 4596421289390313/87112285931760246646623899502532662132736) x (if (<=.f64 z 31212514269023946407936) (.f64 y t) (.f64 z x))))))
(if (<=.f64 z -7238680036491829/2) (.f64 x z) (if (<=.f64 z -5080647343402033/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) x (if (<=.f64 z 7881354223494841/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (.f64 y t) (if (<=.f64 z 4596421289390313/87112285931760246646623899502532662132736) x (if (<=.f64 z 31212514269023946407936) (.f64 y t) (.f64 x z))))))
(if (<=.f64 z -7238680036491829/2) (.f64 z x) (if (<=.f64 z 6047791116472703/144115188075855872) x (.f64 z x)))
(if (<=.f64 z -7238680036491829/2) (.f64 x z) (if (<=.f64 z 6047791116472703/144115188075855872) x (.f64 x z)))
x

Compiler

Compiled 724 to 366 computations (49.4% saved)

soundness0.0ms (0%)

end304.0ms (1.9%)

Compiler: Compiled 660 to 241 computations (63.5% saved)

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

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

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

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

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

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

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

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

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