Details

analyze319.0ms (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.6s (12.7%)

Results

1.2s	8256×	body	256	valid
421.0ms	3949×	body	256	invalid

preprocess58.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify125.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 25 to 15 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 8 computations (73.3% saved)

series13.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

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

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

simplify247.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

195 → 125

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite45.0ms (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	2628	11

Stop Event

1×	node limit

Counts

1 → 33

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

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2702×	`fma-neg_binary64`
399×	`unsub-neg_binary64`
316×	`fma-def_binary64`
302×	`sub-neg_binary64`
281×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	753
1	100	569
2	239	488
3	746	485
4	1809	485
5	3788	485
6	4399	485
7	4589	485
8	4627	485
9	4627	485
10	4963	485
11	5016	485
12	5016	485
13	7050	485
14	7050	485
15	7050	485

Stop Event

1×

saturated

Counts

81 → 54

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)

eval37.0ms (0.3%)

Compiler: Compiled 2662 to 681 computations (74.4% saved)

prune44.0ms (0.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	168	11	179
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	170	11	181

Error

Counts

181 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.2b	(*.f64 y (-.f64 t x))
	27.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
	28.1b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
▶	29.9b	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
	33.3b	(*.f64 t (-.f64 y z))
▶	0.0b	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))
▶	38.7b	(*.f64 z (-.f64 x t))
	29.9b	(+.f64 x (*.f64 x (-.f64 z y)))
▶	24.6b	(+.f64 (*.f64 y (-.f64 t x)) x)
	26.1b	(+.f64 x (*.f64 z (-.f64 x t)))

Compiler

Compiled 300 to 184 computations (38.7% saved)

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 43 to 9 computations (79.1% saved)

series31.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))
1.0ms	z	@	0	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))
1.0ms	y	@	0	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))
1.0ms	x	@	0	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))
1.0ms	z	@	inf	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 (-.f64 y z) (neg.f64 x))))

rewrite143.0ms (1.1%)

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	3292	28

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

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

simplify197.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2382×	`fma-neg_binary64`
844×	`fma-def_binary64`
542×	`sub-neg_binary64`
526×	`associate-+l-_binary64`
499×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	1918
1	207	1603
2	524	1241
3	1464	1169
4	3742	1169
5	4577	1169
6	4810	1169
7	4822	1169
8	4822	1169
9	5457	1169
10	5840	1169
11	5840	1169
12	7960	1169
13	7960	1169
14	7960	1169

Stop Event

1×

saturated

Counts

274 → 183

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite42.0ms (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	1780	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 log1p.f64 (expm1.f64 (*.f64 z (-.f64 x t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 x t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 x t))))))))

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	574	156
9	728	156
10	742	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 z (neg.f64 t))
(*.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 z (neg.f64 t))
(*.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 z (neg.f64 t))
(*.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))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite41.0ms (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	1780	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0%)

Counts

1 → 33

Calls

9 calls:

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

rewrite52.0ms (0.4%)

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	8
1	159	8
2	2343	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

((#(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 y (*.f64 (-.f64 t x) 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 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)))))) (#(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 expm1.f64 (log1p.f64 (fma.f64 y (-.f64 t x) x)))))))

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

401×	`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	24	291
1	58	240
2	114	240
3	212	240
4	372	240
5	672	240
6	1041	240
7	1280	240
8	1399	240
9	1401	240

Stop Event

1×

saturated

Counts

68 → 47

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
✓	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)
1.0ms	x	@	-inf	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
1.0ms	y	@	inf	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
0.0ms	z	@	inf	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)

rewrite55.0ms (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	2817	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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 (-.f64 y z) x))))))))

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-def_binary64`
340×	`fma-neg_binary64`
72×	`cancel-sign-sub-inv_binary64`
59×	`associate--r+_binary64`
59×	`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	304	176
5	609	176
6	1201	176
7	1577	176
8	1712	176
9	1730	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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) 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 (-.f64 z y) x) x)
(fma.f64 x (-.f64 z y) x)

eval72.0ms (0.6%)

Compiler: Compiled 4397 to 1333 computations (69.7% saved)

prune73.0ms (0.6%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	320	14	334
Fresh	2	4	6
Picked	1	0	1
Done	1	3	4
Total	324	21	345

Error

Counts

345 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(+.f64 x (*.f64 x (-.f64 z y)))
	48.8b	(*.f64 t (neg.f64 z))
	37.2b	(+.f64 (.f64 t y) (.f64 (neg.f64 x) y))
▶	10.9b	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 x (neg.f64 y))))
✓	24.6b	(+.f64 (*.f64 y (-.f64 t x)) x)
	34.9b	(+.f64 (*.f64 y t) x)
	47.1b	(*.f64 y t)
	50.2b	x
✓	37.2b	(*.f64 y (-.f64 t x))
	27.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
	38.7b	(+.f64 (.f64 x z) (.f64 (neg.f64 t) z))
	40.0b	(*.f64 (+.f64 1 z) x)
▶	26.1b	(+.f64 x (*.f64 z (-.f64 x t)))
▶	26.1b	(+.f64 (.f64 -1 (.f64 t z)) (+.f64 (*.f64 z x) x))
▶	52.6b	(*.f64 z x)
	40.3b	(*.f64 x (-.f64 1 y))
	28.1b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
✓	38.7b	(*.f64 z (-.f64 x t))
▶	33.3b	(*.f64 t (-.f64 y z))
	52.6b	(*.f64 x (neg.f64 y))
	43.2b	(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) y) (+.f64 t x)) x)

Compiler

Compiled 440 to 287 computations (34.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 9 computations (75.7% saved)

series9.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
414×	`fma-def_binary64`
378×	`pow-prod-down_binary64`
287×	`pow2_binary64`
206×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	224	25
2	3261	23

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1076×	`fma-neg_binary64`
658×	`fma-def_binary64`
212×	`cancel-sign-sub-inv_binary64`
162×	`sub-neg_binary64`
127×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	1334
1	129	1133
2	287	1133
3	658	1133
4	1439	1133
5	2773	1133
6	3402	1133
7	3525	1133
8	3558	1133
9	3558	1133

Stop Event

1×

saturated

Counts

192 → 125

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	158	8
2	2363	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

351×	`fma-def_binary64`
262×	`fma-neg_binary64`
58×	`cancel-sign-sub-inv_binary64`
52×	`distribute-rgt-in_binary64`
51×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	372
1	60	264
2	130	264
3	276	264
4	542	264
5	1002	264
6	1310	264
7	1365	264
8	1366	264

Stop Event

1×

saturated

Counts

72 → 48

Calls

Call 1

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

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

localize109.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.1%)

Counts

2 → 42

Calls

15 calls:

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

rewrite115.0ms (0.9%)

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	3306	14

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	281
1	72	261
2	158	261
3	337	261
4	684	261
5	1090	261
6	1255	261
7	1280	261
8	1281	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)

eval148.0ms (1.2%)

Compiler: Compiled 5875 to 1895 computations (67.7% saved)

prune82.0ms (0.6%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	416	5	421
Fresh	3	10	13
Picked	1	0	1
Done	0	7	7
Total	420	22	442

Error

Counts

442 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.2b	(+.f64 (.f64 t y) (.f64 (neg.f64 x) y))
	29.9b	(+.f64 x (*.f64 x (-.f64 z y)))
✓	10.9b	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 x (neg.f64 y))))
	50.2b	x
✓	24.6b	(+.f64 (*.f64 y (-.f64 t x)) x)
▶	34.9b	(+.f64 (*.f64 y t) x)
	48.8b	(*.f64 t (neg.f64 z))
▶	47.1b	(*.f64 y t)
✓	37.2b	(*.f64 y (-.f64 t x))
	27.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
	38.7b	(+.f64 (.f64 x z) (.f64 (neg.f64 t) z))
	40.0b	(*.f64 (+.f64 1 z) x)
✓	26.1b	(+.f64 x (*.f64 z (-.f64 x t)))
	40.3b	(*.f64 x (-.f64 1 y))
	28.1b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
▶	26.1b	(+.f64 x (+.f64 (.f64 x z) (.f64 (neg.f64 t) z)))
	52.6b	(*.f64 x (neg.f64 y))
✓	38.7b	(*.f64 z (-.f64 x t))
▶	36.9b	(-.f64 x (*.f64 t z))
✓	33.3b	(*.f64 t (-.f64 y z))
✓	52.6b	(*.f64 z x)
	43.2b	(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) y) (+.f64 t x)) x)

Compiler

Compiled 414 to 270 computations (34.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 9 computations (73.5% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	208	15
2	3250	15

Stop Event

1×	node limit

Counts

2 → 279

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

343×	`fma-def_binary64`
256×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
54×	`unsub-neg_binary64`
45×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	740
1	79	504
2	169	504
3	351	504
4	697	504
5	1101	504
6	1266	504
7	1291	504
8	1292	504

Stop Event

1×

saturated

Counts

351 → 297

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

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

localize4.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	7
2	1857	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

101×	`fma-def_binary64`
56×	`fma-neg_binary64`
27×	`cancel-sign-sub-inv_binary64`
17×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	195	223
8	252	223
9	339	223
10	389	223
11	395	223

Stop Event

1×

saturated

Counts

73 → 42

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite65.0ms (0.5%)

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	1772	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 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)))) (#(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 expm1.f64 (log1p.f64 (fma.f64 y t x)))))))

simplify9.0ms (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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series22.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	(+.f64 (.f64 t y) (.f64 (neg.f64 x) y))
1.0ms	y	@	0	(+.f64 (.f64 t y) (.f64 (neg.f64 x) y))
0.0ms	y	@	inf	(+.f64 (.f64 t y) (.f64 (neg.f64 x) y))
0.0ms	y	@	-inf	(+.f64 (.f64 t y) (.f64 (neg.f64 x) y))
0.0ms	t	@	0	(+.f64 (.f64 t y) (.f64 (neg.f64 x) y))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

165×	`fma-def_binary64`
110×	`fma-neg_binary64`
38×	`unsub-neg_binary64`
34×	`cancel-sign-sub-inv_binary64`
30×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	37	240
2	77	240
3	151	240
4	308	240
5	469	240
6	636	240
7	709	240
8	711	240

Stop Event

1×

saturated

Counts

80 → 51

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

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

eval164.0ms (1.3%)

Compiler: Compiled 6196 to 1775 computations (71.4% saved)

prune123.0ms (1%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	423	4	427
Fresh	2	8	10
Picked	1	0	1
Done	1	10	11
Total	427	22	449

Error

Counts

449 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(+.f64 x (*.f64 x (-.f64 z y)))
✓	10.9b	(+.f64 x (fma.f64 (-.f64 y z) t (*.f64 x (neg.f64 y))))
✓	24.6b	(+.f64 (*.f64 y (-.f64 t x)) x)
✓	34.9b	(+.f64 (*.f64 y t) x)
✓	47.1b	(*.f64 y t)
	48.8b	(*.f64 z (neg.f64 t))
✓	37.2b	(*.f64 y (-.f64 t x))
	27.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
	38.7b	(+.f64 (.f64 x z) (.f64 (neg.f64 t) z))
	40.0b	(*.f64 (+.f64 1 z) x)
✓	26.1b	(+.f64 x (*.f64 z (-.f64 x t)))
✓	52.6b	(*.f64 z x)
	26.1b	(+.f64 x (-.f64 (.f64 x z) (.f64 z t)))
	28.1b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) (-.f64 y z)) (+.f64 t x)))
	50.2b	x
	40.3b	(*.f64 x (-.f64 1 y))
	37.2b	(-.f64 (.f64 t y) (.f64 y x))
	52.6b	(*.f64 x (neg.f64 y))
✓	38.7b	(*.f64 z (-.f64 x t))
✓	36.9b	(-.f64 x (*.f64 t z))
✓	33.3b	(*.f64 t (-.f64 y z))
	43.2b	(+.f64 (/.f64 (.f64 (-.f64 (.f64 t t) (*.f64 x x)) y) (+.f64 t x)) x)

Compiler

Compiled 243 to 158 computations (35% saved)

regimes642.0ms (5.1%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

6 calls:

188.0ms	z
168.0ms	x
102.0ms	t
78.0ms	y
54.0ms	(-.f64 y z)

Results

Error	Segments	Branch
8.0b	3	`x`
4.5b	5	`y`
4.0b	5	`z`
4.5b	6	`t`
8.9b	3	`(-.f64 y z)`
8.9b	3	`(-.f64 y z)`

Compiler

Compiled 193 to 84 computations (56.5% saved)

bsearch522.0ms (4.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
151.0ms	8.065992027628968e+104	3.6350737258258235e+105
313.0ms	4.738274373191941e+37	2.1892532231885353e+47
21.0ms	6.629604111975669e-9	0.0808062190972398
37.0ms	-3.3582207765333096e+188	-2.4151790407590068e+179

Compiler

Compiled 790 to 499 computations (36.8% saved)

regimes583.0ms (4.6%)

Counts

21 → 5

Calls

Call 1

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

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

Calls

6 calls:

132.0ms	(-.f64 y z)
105.0ms	y
95.0ms	(-.f64 y z)
83.0ms	z
81.0ms	t

Results

Error	Segments	Branch
10.9b	5	`x`
8.5b	5	`y`
9.6b	5	`z`
10.8b	5	`t`
10.6b	8	`(-.f64 y z)`
10.6b	8	`(-.f64 y z)`

Compiler

Compiled 182 to 82 computations (54.9% saved)

bsearch122.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	3.666678629518092e-5	69525.49518984568
21.0ms	-3.038648527284341e-53	-7.155879189630263e-55
40.0ms	-2.1901394609802764e+125	-1.8814976690846e+124
40.0ms	-5.556656650037756e+156	-1.2283570210954563e+156

Compiler

Compiled 356 to 230 computations (35.4% saved)

regimes496.0ms (3.9%)

Counts

20 → 5

Calls

Call 1

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

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

Calls

6 calls:

137.0ms	(-.f64 y z)
99.0ms	y
78.0ms	x
65.0ms	(-.f64 y z)
55.0ms	z

Results

Error	Segments	Branch
10.9b	5	`x`
8.9b	5	`y`
9.7b	5	`z`
10.8b	5	`t`
15.8b	7	`(-.f64 y z)`
15.8b	7	`(-.f64 y z)`

Compiler

Compiled 165 to 75 computations (54.5% saved)

bsearch151.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	3.666678629518092e-5	69525.49518984568
24.0ms	-0.0004815489743713445	-0.00023991022561431705
70.0ms	-4.461253462300334e+141	-9.350430115185003e+132
36.0ms	-5.556656650037756e+156	-1.2283570210954563e+156

Compiler

Compiled 338 to 233 computations (31.1% saved)

regimes329.0ms (2.6%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

6 calls:

76.0ms	(-.f64 y z)
74.0ms	(-.f64 y z)
60.0ms	t
47.0ms	y
40.0ms	x

Results

Error	Segments	Branch
15.5b	5	`x`
9.2b	5	`y`
18.0b	3	`z`
18.2b	7	`t`
17.2b	9	`(-.f64 y z)`
17.2b	9	`(-.f64 y z)`

Compiler

Compiled 102 to 55 computations (46.1% saved)

bsearch138.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	3.666678629518092e-5	69525.49518984568
23.0ms	-173.48997110354924	-0.39580052495389456
60.0ms	-4.461253462300334e+141	-9.350430115185003e+132
35.0ms	-5.556656650037756e+156	-1.2283570210954563e+156

Compiler

Compiled 320 to 224 computations (30% saved)

regimes470.0ms (3.7%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

6 calls:

169.0ms	x
73.0ms	t
71.0ms	(-.f64 y z)
70.0ms	(-.f64 y z)
62.0ms	y

Results

Error	Segments	Branch
18.1b	6	`x`
16.0b	6	`y`
18.9b	3	`z`
20.6b	8	`t`
20.0b	7	`(-.f64 y z)`
20.0b	7	`(-.f64 y z)`

Compiler

Compiled 95 to 54 computations (43.2% saved)

bsearch166.0ms (1.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
20.0ms	2.5004198948724825e-8	3.666678629518092e-5
20.0ms	-3.036380228087371e-208	-5.546681153492846e-209
19.0ms	-173.48997110354924	-0.39580052495389456
75.0ms	-4.461253462300334e+141	-9.350430115185003e+132
32.0ms	-5.556656650037756e+156	-1.2283570210954563e+156

Compiler

Compiled 320 to 224 computations (30% saved)

regimes226.0ms (1.8%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

6 calls:

54.0ms	z
42.0ms	x
39.0ms	(-.f64 y z)
35.0ms	y
34.0ms	t

Results

Error	Segments	Branch
18.1b	6	`x`
21.6b	6	`y`
22.1b	5	`z`
22.0b	5	`t`
24.2b	3	`(-.f64 y z)`
24.2b	3	`(-.f64 y z)`

Compiler

Compiled 78 to 48 computations (38.5% saved)

bsearch264.0ms (2.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
171.0ms	5.079838694140834e+46	2.2309044850457124e+56
20.0ms	6.622073420575327e-34	9.065958505510227e-33
31.0ms	3.259495245347178e-78	9.101324031839076e-77
19.0ms	-1.9917849620909268e-104	-1.6375484992219473e-104
23.0ms	-1.876670178345975e+23	-8.92783658039703e+18

Compiler

Compiled 220 to 164 computations (25.5% saved)

regimes161.0ms (1.3%)

Counts

9 → 8

Calls

Call 1

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

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

Calls

6 calls:

43.0ms	x
28.0ms	y
27.0ms	z
24.0ms	(-.f64 y z)
18.0ms	(-.f64 y z)

Results

Error	Segments	Branch
18.0b	8	`x`
23.1b	5	`y`
22.1b	5	`z`
23.3b	3	`t`
24.2b	3	`(-.f64 y z)`
24.2b	3	`(-.f64 y z)`

Compiler

Compiled 73 to 45 computations (38.4% saved)

bsearch209.0ms (1.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
89.0ms	5.2382330630155997e+73	4.138229270638968e+77
21.0ms	1.421584441816944e-7	0.1582179505199199
20.0ms	6.622073420575327e-34	9.065958505510227e-33
19.0ms	3.259495245347178e-78	9.101324031839076e-77
20.0ms	-3.661930464314392e-74	-5.682577136430181e-81
20.0ms	-3.622213887504777e-48	-2.4223814186662546e-56
19.0ms	-520106054622.14984	-33817425311.84313

Compiler

Compiled 180 to 134 computations (25.6% saved)

regimes164.0ms (1.3%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	t
34.0ms	z
30.0ms	x
26.0ms	y
20.0ms	(-.f64 y z)

Results

Error	Segments	Branch
21.8b	6	`x`
23.1b	5	`y`
24.5b	6	`z`
26.0b	6	`t`
24.2b	3	`(-.f64 y z)`
24.2b	3	`(-.f64 y z)`

Compiler

Compiled 68 to 42 computations (38.2% saved)

bsearch212.0ms (1.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
34.0ms	2.2599823642871702e+173	5.984193731456341e+190
20.0ms	5.1581462240120724e-70	1.1311999472732073e-67
20.0ms	-6.770067375872919e-108	-1.2403543992643915e-108
20.0ms	-4.810786831234145e+33	-1.350487336996887e+27
118.0ms	-3.776184418854998e+70	-5.067971325369179e+65

Compiler

Compiled 351 to 260 computations (25.9% saved)

regimes137.0ms (1.1%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	z
28.0ms	x
24.0ms	y
20.0ms	t
15.0ms	(-.f64 y z)

Results

Error	Segments	Branch
23.3b	6	`x`
23.1b	5	`y`
28.1b	6	`z`
28.2b	4	`t`
24.4b	3	`(-.f64 y z)`
24.4b	3	`(-.f64 y z)`

Compiler

Compiled 63 to 40 computations (36.5% saved)

bsearch127.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	2.5004198948724825e-8	3.666678629518092e-5
20.0ms	-173.48997110354924	-0.39580052495389456
53.0ms	-8.627600548604757e+146	-4.461253462300334e+141
34.0ms	-5.556656650037756e+156	-1.2283570210954563e+156

Compiler

Compiled 290 to 209 computations (27.9% saved)

regimes162.0ms (1.3%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

5 calls:

48.0ms	t
30.0ms	z
30.0ms	y
27.0ms	x
23.0ms	(-.f64 y z)

Results

Error	Segments	Branch
23.6b	6	`x`
27.8b	7	`y`
28.7b	6	`z`
25.7b	10	`t`
26.8b	5	`(-.f64 y z)`

Compiler

Compiled 51 to 33 computations (35.3% saved)

bsearch302.0ms (2.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
61.0ms	2.2599823642871702e+173	5.984193731456341e+190
167.0ms	5.079838694140834e+46	2.2309044850457124e+56
20.0ms	-3.661930464314392e-74	-5.682577136430181e-81
19.0ms	-1.876670178345975e+23	-8.92783658039703e+18
35.0ms	-8.210385602607272e+148	-1.8219421569147015e+133

Compiler

Compiled 490 to 374 computations (23.7% saved)

regimes241.0ms (1.9%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

4 calls:

94.0ms	z
52.0ms	t
52.0ms	x
40.0ms	y

Results

Error	Segments	Branch
32.8b	7	`x`
33.8b	8	`y`
34.3b	11	`z`
38.5b	6	`t`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch243.0ms (1.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
100.0ms	2.2599823642871702e+173	5.984193731456341e+190
20.0ms	5.431166219343512e-55	2.1475346633083455e-52
49.0ms	-6.333936901445633e-274	-8.895556647095114e-278
19.0ms	-1.9917849620909268e-104	-1.6375484992219473e-104
20.0ms	-1.876670178345975e+23	-8.92783658039703e+18
35.0ms	-8.210385602607272e+148	-1.8219421569147015e+133

Compiler

Compiled 310 to 244 computations (21.3% saved)

regimes124.0ms (1%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	z
33.0ms	t
27.0ms	y
26.0ms	x

Results

Error	Segments	Branch
35.0b	6	`x`
35.8b	7	`y`
37.3b	9	`z`
39.5b	6	`t`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch199.0ms (1.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
92.0ms	2.2599823642871702e+173	5.984193731456341e+190
23.0ms	5.431166219343512e-55	2.1475346633083455e-52
23.0ms	-6.770067375872919e-108	-1.2403543992643915e-108
23.0ms	-1.876670178345975e+23	-8.92783658039703e+18
37.0ms	-8.210385602607272e+148	-1.8219421569147015e+133

Compiler

Compiled 310 to 244 computations (21.3% saved)

regimes95.0ms (0.8%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	z
18.0ms	y
17.0ms	t
16.0ms	x

Results

Error	Segments	Branch
36.7b	5	`x`
36.8b	5	`y`
38.4b	6	`z`
41.1b	4	`t`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch192.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
104.0ms	2.2599823642871702e+173	5.984193731456341e+190
19.0ms	5.431166219343512e-55	2.1475346633083455e-52
22.0ms	-6.770067375872919e-108	-1.2403543992643915e-108
47.0ms	-520106054622.14984	-33817425311.84313

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes68.0ms (0.5%)

Accuracy

Total -21.4b remaining (-52.5%)

Threshold costs -21.4b (-52.5%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z x)

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

Calls

4 calls:

31.0ms	t
15.0ms	x
12.0ms	y
9.0ms	z

Results

Error	Segments	Branch
46.5b	5	`x`
46.9b	3	`y`
40.8b	3	`z`
47.6b	3	`t`

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch72.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.0808062190972398	53.09458245059486
21.0ms	-1.9965982525107557e-13	-1.257481320006467e-13

Compiler

Compiled 20 to 14 computations (30% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
19×	`*-commutative_binary64`
13×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	893
1	201	893
2	228	893
3	241	893
4	246	893

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z -319999999999999970290228995897638786582170079005465262868078299827773513587968046502460009017964168007990204153785995303261026933782578619495574363316499364295926792778948220111853512032256) (.f64 z (-.f64 x t)) (if (<=.f64 z 8014699584790701/1208925819614629174706176) (+.f64 x (fma.f64 (-.f64 y z) t (.f64 x (neg.f64 y)))) (if (<=.f64 z 47999999999999999675007352518039568384) (+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 y z))) (if (<=.f64 z 3599999999999999879581681787739427058599582932568556174433318048436749902375581436811618887180905028255744) (+.f64 x (fma.f64 (-.f64 y z) t (.f64 x (neg.f64 y)))) (*.f64 z (-.f64 x t))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -18999999999999999136137690626584733501824089756302817337509105210277358769289900673190272408999561852566830722203943841038336) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y -3276872089432067/107839786668602559178668060348078522694548577690162289924414440996864) (+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 y z))) (if (<=.f64 y 2705531291170413/73786976294838206464) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -9500000000000000464508977071954836326929345476844199934965225938434110292099304203350012673833093478310948973559203807180191755665408) (.f64 z (-.f64 x t)) (if (<=.f64 y -8883010689185512/18446744073709551616) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 2705531291170413/73786976294838206464) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -9500000000000000464508977071954836326929345476844199934965225938434110292099304203350012673833093478310948973559203807180191755665408) (.f64 z (-.f64 x t)) (if (<=.f64 y -1526033924246997/8796093022208) (.f64 y (-.f64 t x)) (if (<=.f64 y 2705531291170413/73786976294838206464) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -9500000000000000464508977071954836326929345476844199934965225938434110292099304203350012673833093478310948973559203807180191755665408) (.f64 z (-.f64 x t)) (if (<=.f64 y -1526033924246997/8796093022208) (.f64 y (-.f64 t x)) (if (<=.f64 y -3512229948647169/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552) (.f64 (+.f64 1 z) x) (if (<=.f64 y 3778527713486801/151115727451828646838272) (-.f64 x (.f64 t z)) (.f64 y (-.f64 t x)))))))
(if (<=.f64 x -187667017834597514739712) (.f64 x (-.f64 1 y)) (if (<=.f64 x -1607277023604573/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (+.f64 1 z) x) (if (<=.f64 x 6962239587707418624/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 t (-.f64 y z)) (if (<=.f64 x 7742536917357035/11692013098647223345629478661730264157247460343808) (.f64 x (-.f64 1 y)) (if (<=.f64 x 220000000000000015863009421327419791453680836247872864256) (.f64 t (-.f64 y z)) (.f64 (+.f64 1 z) x))))))
(if (<=.f64 x -8521417598929303/16384) (.f64 x (-.f64 1 y)) (if (<=.f64 x -5960369459481273/1645504557321206042154969182557350504982735865633579863348609024) (.f64 z (-.f64 x t)) (if (<=.f64 x -4662177561652291/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 x (-.f64 1 y)) (if (<=.f64 x 6962239587707418624/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 t (-.f64 y z)) (if (<=.f64 x 7742536917357035/11692013098647223345629478661730264157247460343808) (.f64 x (-.f64 1 y)) (if (<=.f64 x 671324272060529/4722366482869645213696) (.f64 t (-.f64 y z)) (if (<=.f64 x 52999999999999999571568560286951324583322332016203659713420465592506253312) (.f64 z (-.f64 x t)) (.f64 x (-.f64 1 y)))))))))
(if (<=.f64 x -520000000000000005240611335592674700781914762194209693698923429888) (-.f64 x (.f64 t z)) (if (<=.f64 x -4810786831234144850404486319964160) (.f64 x (neg.f64 y)) (if (<=.f64 x -1145700722670829696/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (-.f64 x t)) (if (<=.f64 x 256526597400060416/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (.f64 t (-.f64 y z)) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z (-.f64 x t)) x)))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 t (-.f64 y z)) (if (<=.f64 y -4500000000000000161008150577227139334479862709273673426373504077449985916737521885436121745051000273581556980323756657055742448354418879365120) (.f64 z x) (if (<=.f64 y -1526033924246997/8796093022208) (.f64 t (-.f64 y z)) (if (<=.f64 y 3778527713486801/151115727451828646838272) (-.f64 x (.f64 t z)) (*.f64 t (-.f64 y z))))))
(if (<=.f64 x -65000000000000003449663518020382064191722516907234388298325713584439328349936048889483694950413029958389892190295567486883029392007810934693167104) x (if (<=.f64 x -187667017834597514739712) (.f64 x (neg.f64 y)) (if (<=.f64 x -4662177561652291/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 z x) (if (<=.f64 x 220000000000000015863009421327419791453680836247872864256) (.f64 t (-.f64 y z)) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (.f64 z x) x)))))
(if (<=.f64 x -65000000000000003449663518020382064191722516907234388298325713584439328349936048889483694950413029958389892190295567486883029392007810934693167104) x (if (<=.f64 x -187667017834597514739712) (.f64 x (neg.f64 y)) (if (<=.f64 x -1607277023604573/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 z x) (if (<=.f64 x -6172620403298162/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 z (neg.f64 t)) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y t) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z x) x))))))
(if (<=.f64 x -65000000000000003449663518020382064191722516907234388298325713584439328349936048889483694950413029958389892190295567486883029392007810934693167104) x (if (<=.f64 x -187667017834597514739712) (.f64 x (neg.f64 y)) (if (<=.f64 x -1145700722670829696/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z x) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y t) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (.f64 z x) x)))))
(if (<=.f64 x -8521417598929303/16384) x (if (<=.f64 x -1145700722670829696/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z x) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y t) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z x) x))))
(if (<=.f64 z -15818681082561834/79228162514264337593543950336) (.f64 z x) (if (<=.f64 z 1490611643250883840/18446744073709551616) x (.f64 z x)))
x

Outputs
(if (<=.f64 z -319999999999999970290228995897638786582170079005465262868078299827773513587968046502460009017964168007990204153785995303261026933782578619495574363316499364295926792778948220111853512032256) (.f64 z (-.f64 x t)) (if (<=.f64 z 8014699584790701/1208925819614629174706176) (+.f64 x (fma.f64 (-.f64 y z) t (.f64 x (neg.f64 y)))) (if (<=.f64 z 47999999999999999675007352518039568384) (+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 y z))) (if (<=.f64 z 3599999999999999879581681787739427058599582932568556174433318048436749902375581436811618887180905028255744) (+.f64 x (fma.f64 (-.f64 y z) t (.f64 x (neg.f64 y)))) (*.f64 z (-.f64 x t))))))
(if (<=.f64 z -319999999999999970290228995897638786582170079005465262868078299827773513587968046502460009017964168007990204153785995303261026933782578619495574363316499364295926792778948220111853512032256) (.f64 z (-.f64 x t)) (if (<=.f64 z 8014699584790701/1208925819614629174706176) (+.f64 x (fma.f64 (-.f64 y z) t (.f64 x (neg.f64 y)))) (if (<=.f64 z 47999999999999999675007352518039568384) (+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 z y))) (if (<=.f64 z 3599999999999999879581681787739427058599582932568556174433318048436749902375581436811618887180905028255744) (+.f64 x (fma.f64 (-.f64 y z) t (.f64 x (neg.f64 y)))) (*.f64 z (-.f64 x t))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -18999999999999999136137690626584733501824089756302817337509105210277358769289900673190272408999561852566830722203943841038336) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y -3276872089432067/107839786668602559178668060348078522694548577690162289924414440996864) (+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 y z))) (if (<=.f64 y 2705531291170413/73786976294838206464) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -18999999999999999136137690626584733501824089756302817337509105210277358769289900673190272408999561852566830722203943841038336) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y -3276872089432067/107839786668602559178668060348078522694548577690162289924414440996864) (+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (.f64 z z))) (+.f64 z y))) (if (<=.f64 y 2705531291170413/73786976294838206464) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -9500000000000000464508977071954836326929345476844199934965225938434110292099304203350012673833093478310948973559203807180191755665408) (.f64 z (-.f64 x t)) (if (<=.f64 y -8883010689185512/18446744073709551616) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 2705531291170413/73786976294838206464) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -9500000000000000464508977071954836326929345476844199934965225938434110292099304203350012673833093478310948973559203807180191755665408) (.f64 z (-.f64 x t)) (if (<=.f64 y -1110376336148189/2305843009213693952) (+.f64 x (.f64 y (-.f64 t x))) (if (<=.f64 y 2705531291170413/73786976294838206464) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -9500000000000000464508977071954836326929345476844199934965225938434110292099304203350012673833093478310948973559203807180191755665408) (.f64 z (-.f64 x t)) (if (<=.f64 y -1526033924246997/8796093022208) (.f64 y (-.f64 t x)) (if (<=.f64 y 2705531291170413/73786976294838206464) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -9500000000000000464508977071954836326929345476844199934965225938434110292099304203350012673833093478310948973559203807180191755665408) (.f64 z (-.f64 x t)) (if (<=.f64 y -1526033924246997/8796093022208) (.f64 y (-.f64 t x)) (if (<=.f64 y -3512229948647169/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552) (.f64 (+.f64 1 z) x) (if (<=.f64 y 3778527713486801/151115727451828646838272) (-.f64 x (.f64 t z)) (.f64 y (-.f64 t x)))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 y (-.f64 t x)) (if (<=.f64 y -9500000000000000464508977071954836326929345476844199934965225938434110292099304203350012673833093478310948973559203807180191755665408) (.f64 z (-.f64 x t)) (if (<=.f64 y -1526033924246997/8796093022208) (.f64 y (-.f64 t x)) (if (<=.f64 y -3512229948647169/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552) (.f64 x (+.f64 z 1)) (if (<=.f64 y 3778527713486801/151115727451828646838272) (-.f64 x (.f64 z t)) (.f64 y (-.f64 t x)))))))
(if (<=.f64 x -187667017834597514739712) (.f64 x (-.f64 1 y)) (if (<=.f64 x -1607277023604573/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (+.f64 1 z) x) (if (<=.f64 x 6962239587707418624/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 t (-.f64 y z)) (if (<=.f64 x 7742536917357035/11692013098647223345629478661730264157247460343808) (.f64 x (-.f64 1 y)) (if (<=.f64 x 220000000000000015863009421327419791453680836247872864256) (.f64 t (-.f64 y z)) (.f64 (+.f64 1 z) x))))))
(if (<=.f64 x -187667017834597514739712) (.f64 x (-.f64 1 y)) (if (<=.f64 x -1607277023604573/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 x (+.f64 z 1)) (if (<=.f64 x 3399531048685263/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (.f64 t (-.f64 y z)) (if (<=.f64 x 7742536917357035/11692013098647223345629478661730264157247460343808) (.f64 x (-.f64 1 y)) (if (<=.f64 x 220000000000000015863009421327419791453680836247872864256) (.f64 t (-.f64 y z)) (.f64 x (+.f64 z 1)))))))
(if (<=.f64 x -8521417598929303/16384) (.f64 x (-.f64 1 y)) (if (<=.f64 x -5960369459481273/1645504557321206042154969182557350504982735865633579863348609024) (.f64 z (-.f64 x t)) (if (<=.f64 x -4662177561652291/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 x (-.f64 1 y)) (if (<=.f64 x 6962239587707418624/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 t (-.f64 y z)) (if (<=.f64 x 7742536917357035/11692013098647223345629478661730264157247460343808) (.f64 x (-.f64 1 y)) (if (<=.f64 x 671324272060529/4722366482869645213696) (.f64 t (-.f64 y z)) (if (<=.f64 x 52999999999999999571568560286951324583322332016203659713420465592506253312) (.f64 z (-.f64 x t)) (.f64 x (-.f64 1 y)))))))))
(if (<=.f64 x -8521417598929303/16384) (.f64 x (-.f64 1 y)) (if (<=.f64 x -5960369459481273/1645504557321206042154969182557350504982735865633579863348609024) (.f64 z (-.f64 x t)) (if (<=.f64 x -4662177561652291/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 x (-.f64 1 y)) (if (<=.f64 x 3399531048685263/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (.f64 t (-.f64 y z)) (if (<=.f64 x 7742536917357035/11692013098647223345629478661730264157247460343808) (.f64 x (-.f64 1 y)) (if (<=.f64 x 671324272060529/4722366482869645213696) (.f64 t (-.f64 y z)) (if (<=.f64 x 52999999999999999571568560286951324583322332016203659713420465592506253312) (.f64 z (-.f64 x t)) (.f64 x (-.f64 1 y)))))))))
(if (<=.f64 x -520000000000000005240611335592674700781914762194209693698923429888) (-.f64 x (.f64 t z)) (if (<=.f64 x -4810786831234144850404486319964160) (.f64 x (neg.f64 y)) (if (<=.f64 x -1145700722670829696/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z (-.f64 x t)) (if (<=.f64 x 256526597400060416/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (.f64 t (-.f64 y z)) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z (-.f64 x t)) x)))))
(if (<=.f64 x -520000000000000005240611335592674700781914762194209693698923429888) (-.f64 x (.f64 z t)) (if (<=.f64 x -4810786831234144850404486319964160) (.f64 x (neg.f64 y)) (if (<=.f64 x -8950786895865857/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 z (-.f64 x t)) (if (<=.f64 x 501028510546993/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (.f64 t (-.f64 y z)) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z (-.f64 x t)) x)))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 t (-.f64 y z)) (if (<=.f64 y -4500000000000000161008150577227139334479862709273673426373504077449985916737521885436121745051000273581556980323756657055742448354418879365120) (.f64 z x) (if (<=.f64 y -1526033924246997/8796093022208) (.f64 t (-.f64 y z)) (if (<=.f64 y 3778527713486801/151115727451828646838272) (-.f64 x (.f64 t z)) (*.f64 t (-.f64 y z))))))
(if (<=.f64 y -5500000000000000289548312311049614862405928102582209257220463591565187485117502597942139409599833504473859232511669338592500718320987051951049525699914235904) (.f64 t (-.f64 y z)) (if (<=.f64 y -4500000000000000161008150577227139334479862709273673426373504077449985916737521885436121745051000273581556980323756657055742448354418879365120) (.f64 z x) (if (<=.f64 y -1526033924246997/8796093022208) (.f64 t (-.f64 y z)) (if (<=.f64 y 3778527713486801/151115727451828646838272) (-.f64 x (.f64 z t)) (*.f64 t (-.f64 y z))))))
(if (<=.f64 x -65000000000000003449663518020382064191722516907234388298325713584439328349936048889483694950413029958389892190295567486883029392007810934693167104) x (if (<=.f64 x -187667017834597514739712) (.f64 x (neg.f64 y)) (if (<=.f64 x -4662177561652291/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (.f64 z x) (if (<=.f64 x 220000000000000015863009421327419791453680836247872864256) (.f64 t (-.f64 y z)) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (.f64 z x) x)))))
(if (<=.f64 x -65000000000000003449663518020382064191722516907234388298325713584439328349936048889483694950413029958389892190295567486883029392007810934693167104) x (if (<=.f64 x -187667017834597514739712) (.f64 x (neg.f64 y)) (if (<=.f64 x -1607277023604573/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 z x) (if (<=.f64 x -6172620403298162/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (.f64 z (neg.f64 t)) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y t) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z x) x))))))
(if (<=.f64 x -65000000000000003449663518020382064191722516907234388298325713584439328349936048889483694950413029958389892190295567486883029392007810934693167104) x (if (<=.f64 x -187667017834597514739712) (.f64 x (neg.f64 y)) (if (<=.f64 x -1607277023604573/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 z x) (if (<=.f64 x -3086310201649081/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488) (neg.f64 (.f64 z t)) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 t y) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z x) x))))))
(if (<=.f64 x -65000000000000003449663518020382064191722516907234388298325713584439328349936048889483694950413029958389892190295567486883029392007810934693167104) x (if (<=.f64 x -187667017834597514739712) (.f64 x (neg.f64 y)) (if (<=.f64 x -1145700722670829696/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z x) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y t) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (.f64 z x) x)))))
(if (<=.f64 x -65000000000000003449663518020382064191722516907234388298325713584439328349936048889483694950413029958389892190295567486883029392007810934693167104) x (if (<=.f64 x -187667017834597514739712) (.f64 x (neg.f64 y)) (if (<=.f64 x -8950786895865857/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 z x) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 t y) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (.f64 z x) x)))))
(if (<=.f64 x -8521417598929303/16384) x (if (<=.f64 x -1145700722670829696/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z x) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y t) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z x) x))))
(if (<=.f64 x -8521417598929303/16384) x (if (<=.f64 x -8950786895865857/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 z x) (if (<=.f64 x 117139161291145/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 t y) (if (<=.f64 x 229999999999999994991255646677200542121381573413625152292486738601582509188539097626171686383013817195536688462944168411488301667008191642160980276134197311259715443733037056) (*.f64 z x) x))))
(if (<=.f64 z -15818681082561834/79228162514264337593543950336) (.f64 z x) (if (<=.f64 z 1490611643250883840/18446744073709551616) x (.f64 z x)))
(if (<=.f64 z -7909340541280917/39614081257132168796771975168) (.f64 z x) (if (<=.f64 z 5822701731448765/72057594037927936) x (.f64 z x)))
x

end369.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 1304 to 607 computations (53.5% saved)

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	574	156
9	728	156
10	742	156

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

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

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	195	223
8	252	223
9	339	223
10	389	223
11	395	223

Iter	Nodes	Cost
0	16	330
1	37	240
2	77	240
3	151	240
4	308	240
5	469	240
6	636	240
7	709	240
8	711	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	574	156
9	728	156
10	742	156

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

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

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	195	223
8	252	223
9	339	223
10	389	223
11	395	223

Iter	Nodes	Cost
0	16	330
1	37	240
2	77	240
3	151	240
4	308	240
5	469	240
6	636	240
7	709	240
8	711	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	574	156
9	728	156
10	742	156

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

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

Iter	Nodes	Cost
0	8	250
1	15	223
2	31	223
3	44	223
4	56	223
5	87	223
6	147	223
7	195	223
8	252	223
9	339	223
10	389	223
11	395	223

Iter	Nodes	Cost
0	16	330
1	37	240
2	77	240
3	151	240
4	308	240
5	469	240
6	636	240
7	709	240
8	711	240