Details

analyze560.0ms (3.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
12.7%	12.5%	85.6%	0.2%	1.8%	0%	0%	11
17.8%	17.2%	79.4%	0.2%	3.2%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.7s (9.8%)

Results

1.1s	8256×	body	256	valid
464.0ms	3914×	body	256	infinite

Bogosity

preprocess78.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify279.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 25 to 15 computations (40% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
✓	0.1b	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series20.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	208	21
2	3231	21

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

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

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

simplify394.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

195 → 125

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

Outputs

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

simplify319.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

78 → 51

Calls

Call 1

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

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

eval34.0ms (0.2%)

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

prune75.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Error

Counts

178 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) (neg.f64 z))))
	41.1b	(*.f64 z (-.f64 x t))
	0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
	32.0b	(fma.f64 (*.f64 (-.f64 t x) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)) x)
▶	24.7b	(.f64 (+.f64 1 (.f64 -1 (-.f64 y z))) x)
▶	41.2b	(*.f64 (-.f64 t x) y)
▶	39.0b	(*.f64 t (-.f64 y z))
▶	22.7b	(+.f64 x (*.f64 z (-.f64 x t)))
	29.9b	(/.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))))
	23.0b	(+.f64 (*.f64 y (-.f64 t x)) x)
	24.7b	(+.f64 x (*.f64 x (-.f64 z y)))

Compiler

Compiled 312 to 186 computations (40.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 10 computations (80% saved)

series20.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite175.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 309

Calls

Call 1

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

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

simplify217.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2910×	`fma-neg_binary64`
477×	`fma-def_binary64`
467×	`associate-+l-_binary64`
450×	`sub-neg_binary64`
366×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	2229
1	211	1955
2	565	1409
3	1662	1409
4	4049	1409
5	5086	1409
6	5289	1409
7	5313	1409
8	5313	1409
9	5750	1409
10	5855	1409
11	5855	1409

Stop Event

1×	node limit

Counts

477 → 350

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0%)

Counts

2 → 60

Calls

18 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

114 → 69

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 33 to 18 computations (45.5% saved)

series15.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×

saturated

Counts

46 → 32

Calls

Call 1

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

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

eval138.0ms (0.8%)

Compiler: Compiled 8649 to 2074 computations (76% saved)

prune221.0ms (1.3%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	491	13	504
Fresh	3	3	6
Picked	1	0	1
Done	2	2	4
Total	497	18	515

Error

Counts

515 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	35.7b	(+.f64 x (/.f64 1 (/.f64 (.f64 (-.f64 t x) (+.f64 y z)) (pow.f64 (.f64 (-.f64 t x) (+.f64 y z)) 2))))
✓	39.0b	(*.f64 t (-.f64 y z))
	32.9b	(+.f64 x (*.f64 z (neg.f64 t)))
	39.0b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
▶	23.0b	(+.f64 (*.f64 y (-.f64 t x)) x)
▶	51.3b	(*.f64 y t)
	32.0b	(fma.f64 (*.f64 (-.f64 t x) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)) x)
▶	52.9b	(*.f64 y (neg.f64 x))
	53.0b	(*.f64 z x)
	50.5b	(*.f64 t (neg.f64 z))
▶	34.9b	(-.f64 x (*.f64 x y))
	24.7b	(+.f64 x (*.f64 x (-.f64 z y)))
▶	41.2b	(+.f64 (.f64 y t) (.f64 y (neg.f64 x)))
	34.7b	(*.f64 (+.f64 1 z) x)
✓	41.2b	(*.f64 (-.f64 t x) y)
	24.7b	(+.f64 (.f64 (+.f64 1 z) x) (.f64 -1 (*.f64 y x)))
	41.1b	(*.f64 z (-.f64 x t))
	44.7b	x

Compiler

Compiled 365 to 238 computations (34.8% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series6.0ms (0%)

Counts

2 → 57

Calls

18 calls:

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

rewrite66.0ms (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	15
1	159	15
2	2348	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

109 → 68

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize6.0ms (0%)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
772×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2564	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	300
1	37	240
2	77	240
3	150	240
4	315	240
5	478	240
6	648	240
7	721	240
8	723	240

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

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

eval60.0ms (0.4%)

Compiler: Compiled 1984 to 625 computations (68.5% saved)

prune40.0ms (0.2%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	2	9	11
Picked	1	0	1
Done	1	5	6
Total	166	18	184

Error

Counts

184 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	32.9b	(+.f64 x (*.f64 z (neg.f64 t)))
	41.2b	(-.f64 (.f64 y t) (.f64 y x))
	39.0b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
✓	51.3b	(*.f64 y t)
	32.0b	(fma.f64 (*.f64 (-.f64 t x) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)) x)
✓	52.9b	(*.f64 y (neg.f64 x))
	44.7b	x
▶	53.0b	(*.f64 z x)
	50.5b	(*.f64 t (neg.f64 z))
✓	34.9b	(-.f64 x (*.f64 x y))
	34.7b	(*.f64 (+.f64 1 z) x)
✓	41.2b	(*.f64 (-.f64 t x) y)
▶	24.7b	(+.f64 (.f64 (+.f64 1 z) x) (.f64 -1 (*.f64 y x)))
	47.3b	(/.f64 1 (/.f64 (+.f64 x (.f64 x y)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) 2))))
✓	39.0b	(*.f64 t (-.f64 y z))
▶	41.1b	(*.f64 z (-.f64 x t))
▶	33.5b	(+.f64 (*.f64 y t) x)
▶	24.7b	(+.f64 x (*.f64 x (-.f64 z y)))

Compiler

Compiled 327 to 217 computations (33.6% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series6.0ms (0%)

Counts

2 → 39

Calls

15 calls:

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

rewrite111.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
371×	`fma-def_binary64`
357×	`pow-prod-down_binary64`
266×	`pow2_binary64`
234×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	229	18
2	3186	14

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-def_binary64`
293×	`fma-neg_binary64`
90×	`distribute-rgt-in_binary64`
81×	`distribute-lft-in_binary64`
74×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	339
1	65	296
2	149	254
3	360	254
4	801	254
5	1267	254
6	1747	254
7	1763	254

Stop Event

1×

saturated

Counts

228 → 202

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite81.0ms (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	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify15.0ms (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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

129 → 70

Calls

Call 1

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

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

eval87.0ms (0.5%)

Compiler: Compiled 4549 to 1400 computations (69.2% saved)

prune82.0ms (0.5%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	329	3	332
Fresh	2	6	8
Picked	0	1	1
Done	1	8	9
Total	332	18	350

Error

Counts

350 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.0b	(*.f64 t (-.f64 y z))
	24.7b	(+.f64 x (+.f64 (.f64 z x) (.f64 (neg.f64 y) x)))
	32.9b	(+.f64 x (*.f64 z (neg.f64 t)))
	41.2b	(-.f64 (.f64 y t) (.f64 y x))
	39.0b	(+.f64 (.f64 y t) (.f64 (neg.f64 z) t))
✓	51.3b	(*.f64 y t)
	32.0b	(fma.f64 (*.f64 (-.f64 t x) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)) x)
✓	52.9b	(*.f64 y (neg.f64 x))
✓	53.0b	(*.f64 z x)
	44.7b	x
✓	34.9b	(-.f64 x (*.f64 x y))
	34.7b	(*.f64 (+.f64 1 z) x)
✓	41.2b	(*.f64 (-.f64 t x) y)
	47.3b	(/.f64 1 (/.f64 (+.f64 x (.f64 x y)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) 2))))
✓	41.1b	(*.f64 z (-.f64 x t))
✓	33.5b	(+.f64 (*.f64 y t) x)
✓	24.7b	(+.f64 x (*.f64 x (-.f64 z y)))
	50.5b	(*.f64 z (neg.f64 t))

Compiler

Compiled 186 to 123 computations (33.9% saved)

regimes412.0ms (2.4%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

7 calls:

107.0ms	z
70.0ms	x
63.0ms	t
40.0ms	(-.f64 y z)
39.0ms	(-.f64 y z)

Results

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

Compiler

Compiled 311 to 121 computations (61.1% saved)

regimes551.0ms (3.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

216.0ms	x
156.0ms	y
74.0ms	(-.f64 y z)
32.0ms	t
31.0ms	z

Results

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

Compiler

Compiled 191 to 82 computations (57.1% saved)

regimes1.6s (9.7%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

6 calls:

458.0ms	(-.f64 y z)
390.0ms	x
308.0ms	(-.f64 y z)
212.0ms	t
147.0ms	y

Results

Error	Segments	Branch
10.3b	6	`x`
8.7b	3	`y`
8.4b	3	`z`
14.3b	5	`t`
12.2b	10	`(-.f64 y z)`
12.2b	10	`(-.f64 y z)`

Compiler

Compiled 155 to 67 computations (56.8% saved)

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.734205528249676e-29	1.2295355673648566e-26
23.0ms	-2.577223167508378e-58	-6.826098517145378e-59

Compiler

Compiled 20 to 14 computations (30% saved)

regimes1.1s (6.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

6 calls:

306.0ms	t
305.0ms	x
215.0ms	y
115.0ms	(-.f64 y z)
94.0ms	(-.f64 y z)

Results

Error	Segments	Branch
15.1b	7	`x`
12.7b	8	`y`
9.8b	3	`z`
17.5b	7	`t`
14.7b	8	`(-.f64 y z)`
14.7b	8	`(-.f64 y z)`

Compiler

Compiled 109 to 55 computations (49.5% saved)

bsearch88.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	4.734205528249676e-29	1.2295355673648566e-26
31.0ms	-1.4362008162118838e+29	-1.3135296490018586e+26

Compiler

Compiled 20 to 14 computations (30% saved)

regimes1.7s (10.1%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

6 calls:

392.0ms	x
346.0ms	z
337.0ms	t
241.0ms	(-.f64 y z)
236.0ms	y

Results

Error	Segments	Branch
17.6b	7	`x`
13.7b	7	`y`
14.9b	8	`z`
19.6b	11	`t`
15.9b	8	`(-.f64 y z)`
15.9b	8	`(-.f64 y z)`

Compiler

Compiled 102 to 53 computations (48% saved)

bsearch197.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
20.0ms	1.5711684585449842e-9	0.06599417889109227
31.0ms	1.2194197020403468e-67	1.6885834390158392e-65
34.0ms	7.684530991851018e-237	3.071432066833834e-221
37.0ms	-1.8998875642490576e-276	-2.333229906661584e-290
39.0ms	-6.9318790672829485e-109	-1.4036986545844652e-114
35.0ms	-708598.0734719192	-5414.436341462496

Compiler

Compiled 20 to 14 computations (30% saved)

regimes1.2s (7.4%)

Counts

15 → 7

Calls

Call 1

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

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

Calls

6 calls:

375.0ms	y
269.0ms	t
261.0ms	z
164.0ms	x
97.0ms	(-.f64 y z)

Results

Error	Segments	Branch
17.6b	7	`x`
13.7b	7	`y`
14.9b	8	`z`
19.6b	11	`t`
15.9b	8	`(-.f64 y z)`
15.9b	8	`(-.f64 y z)`

Compiler

Compiled 95 to 51 computations (46.3% saved)

bsearch330.0ms (2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
39.0ms	1.5711684585449842e-9	0.06599417889109227
34.0ms	1.2194197020403468e-67	1.6885834390158392e-65
37.0ms	7.684530991851018e-237	3.071432066833834e-221
34.0ms	-1.8998875642490576e-276	-2.333229906661584e-290
36.0ms	-6.9318790672829485e-109	-1.4036986545844652e-114
150.0ms	-708598.0734719192	-5414.436341462496

Compiler

Compiled 20 to 14 computations (30% saved)

regimes386.0ms (2.3%)

Counts

14 → 6

Calls

Call 1

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

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

Calls

6 calls:

86.0ms	y
77.0ms	(-.f64 y z)
67.0ms	t
53.0ms	(-.f64 y z)
53.0ms	x

Results

Error	Segments	Branch
17.6b	7	`x`
14.8b	6	`y`
15.9b	6	`z`
20.8b	8	`t`
17.8b	6	`(-.f64 y z)`
17.8b	6	`(-.f64 y z)`

Compiler

Compiled 89 to 50 computations (43.8% saved)

bsearch99.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
20.0ms	0.07458389614026488	1083.2700441209938
20.0ms	3.976833428826507e-21	1.5711684585449842e-9
19.0ms	1.2194197020403468e-67	1.6885834390158392e-65
20.0ms	-6.632601884930541e-57	-2.0881274047669153e-57
19.0ms	-708598.0734719192	-5414.436341462496

Compiler

Compiled 20 to 14 computations (30% saved)

regimes375.0ms (2.2%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

4 calls:

143.0ms	x
96.0ms	y
66.0ms	t
65.0ms	z

Results

Error	Segments	Branch
20.5b	9	`x`
15.5b	6	`y`
15.9b	6	`z`
22.1b	7	`t`

Compiler

Compiled 70 to 38 computations (45.7% saved)

bsearch122.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
23.0ms	0.07458389614026488	1083.2700441209938
21.0ms	3.976833428826507e-21	1.5711684585449842e-9
21.0ms	1.2194197020403468e-67	1.6885834390158392e-65
24.0ms	-7.977988569416837e-30	-7.570816440874378e-32
31.0ms	-708598.0734719192	-5414.436341462496

Compiler

Compiled 20 to 14 computations (30% saved)

regimes376.0ms (2.2%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

4 calls:

110.0ms	y
108.0ms	x
96.0ms	z
59.0ms	t

Results

Error	Segments	Branch
21.8b	7	`x`
21.2b	8	`y`
15.7b	7	`z`
22.1b	7	`t`

Compiler

Compiled 65 to 36 computations (44.6% saved)

bsearch214.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
36.0ms	54.12798883958508	181.17636756259435
35.0ms	2.0680456929474416e-5	0.002675200800556336
37.0ms	2.636286989969004e-33	4.734205528249676e-29
35.0ms	7.343046838975107e-77	1.6867641172309028e-74
35.0ms	1.479733302295897e-217	3.590246552056494e-215
34.0ms	-35.93358949603736	-6.4500714727901165e-27

Compiler

Compiled 20 to 14 computations (30% saved)

regimes232.0ms (1.4%)

Counts

11 → 8

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	t
59.0ms	z
51.0ms	y
49.0ms	x

Results

Error	Segments	Branch
22.5b	7	`x`
21.4b	8	`y`
22.3b	7	`z`
24.7b	4	`t`

Compiler

Compiled 60 to 34 computations (43.3% saved)

bsearch169.0ms (1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
55.0ms	3.372733168957754e+129	8.602401343440417e+138
19.0ms	0.06599417889109227	0.07458389614026488
19.0ms	3.976833428826507e-21	1.5711684585449842e-9
18.0ms	1.2194197020403468e-67	1.6885834390158392e-65
20.0ms	-7.977988569416837e-30	-7.570816440874378e-32
19.0ms	-708598.0734719192	-5414.436341462496
19.0ms	-6.827782913210473e+33	-3.13480385921742e+32

Compiler

Compiled 200 to 140 computations (30% saved)

regimes165.0ms (1%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

4 calls:

62.0ms	t
41.0ms	x
37.0ms	y
21.0ms	z

Results

Error	Segments	Branch
24.5b	5	`x`
27.6b	6	`y`
26.2b	3	`z`
26.7b	5	`t`

Compiler

Compiled 55 to 31 computations (43.6% saved)

bsearch63.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	5.730392590783861e-63	3.998168651280632e-52
22.0ms	2.2525723051908783e-210	2.070548960734158e-203
0.0ms	-1.5403506422677324e-277	-1.4736357463459795e-277
21.0ms	-1.2675431190765383e-14	-9.90491435985431e-19

Compiler

Compiled 20 to 14 computations (30% saved)

regimes161.0ms (1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	t
40.0ms	x
32.0ms	y
18.0ms	z

Results

Error	Segments	Branch
28.1b	7	`x`
28.0b	6	`y`
26.2b	3	`z`
28.4b	8	`t`

Compiler

Compiled 50 to 29 computations (42% saved)

bsearch39.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2093263379564.7234	15164555619337.232
20.0ms	-1.4362008162118838e+29	-1.3135296490018586e+26

Compiler

Compiled 20 to 14 computations (30% saved)

regimes192.0ms (1.1%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

4 calls:

74.0ms	t
45.0ms	x
40.0ms	z
30.0ms	y

Results

Error	Segments	Branch
33.1b	9	`x`
30.5b	6	`y`
32.4b	7	`z`
34.3b	15	`t`

Compiler

Compiled 45 to 28 computations (37.8% saved)

bsearch186.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
90.0ms	3.372733168957754e+129	8.602401343440417e+138
33.0ms	1083.2700441209938	843047527156.3765
25.0ms	-7.977988569416837e-30	-7.570816440874378e-32
19.0ms	-708598.0734719192	-5414.436341462496
19.0ms	-6.827782913210473e+33	-3.13480385921742e+32

Compiler

Compiled 173 to 131 computations (24.3% saved)

regimes254.0ms (1.5%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

4 calls:

77.0ms	x
76.0ms	t
59.0ms	z
39.0ms	y

Results

Error	Segments	Branch
34.4b	7	`x`
33.7b	4	`y`
33.4b	5	`z`
39.3b	7	`t`

Compiler

Compiled 37 to 24 computations (35.1% saved)

bsearch120.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	15164555619337.232	2412510380196393000.0
29.0ms	214349.02394708229	2093263379564.7234
36.0ms	2.636286989969004e-33	4.734205528249676e-29
37.0ms	-35.93358949603736	-6.4500714727901165e-27

Compiler

Compiled 20 to 14 computations (30% saved)

regimes69.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	x
20.0ms	t
13.0ms	z
12.0ms	y

Results

Error	Segments	Branch
37.6b	5	`x`
35.4b	3	`y`
35.8b	3	`z`
41.8b	4	`t`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.2194197020403468e-67	1.6885834390158392e-65
19.0ms	-7.977988569416837e-30	-7.570816440874378e-32

Compiler

Compiled 20 to 14 computations (30% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

4 calls:

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

Results

Error	Segments	Branch
44.7b	1	`x`
44.7b	1	`y`
44.7b	1	`z`
44.7b	1	`t`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

106×	`distribute-rgt-neg-in_binary64`
104×	`cancel-sign-sub-inv_binary64`
72×	`neg-sub0_binary64`
72×	`neg-mul-1_binary64`
69×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	153	825
1	198	815
2	228	815
3	246	815
4	267	815
5	310	815
6	363	815
7	417	815
8	478	815
9	589	815
10	722	815
11	857	815
12	968	815
13	1012	815
14	1020	815

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) (neg.f64 z))))
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 z -7285694702065645/28269553036454149273332760011886696253239742350009903329945699220681916416) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 z 1055763112029711/22300745198530623141535718272648361505980416) (+.f64 (.f64 y (-.f64 t x)) x) (+.f64 x (*.f64 z (-.f64 x t)))))
(if (<=.f64 z -143620081621188378296357748736) (.f64 z (-.f64 x t)) (if (<=.f64 z 1055763112029711/22300745198530623141535718272648361505980416) (+.f64 (.f64 y (-.f64 t x)) x) (*.f64 z (-.f64 x t))))
(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -7331776051775319/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y -4739840230390005/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 (+.f64 1 z) x) (if (<=.f64 y 7042449431493261/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (+.f64 1 z) x) (if (<=.f64 y 3798852232998297/2417851639229258349412352) (.f64 t (-.f64 y z)) (-.f64 (.f64 y t) (.f64 y x))))))))
(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -7331776051775319/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y -4739840230390005/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 (+.f64 1 z) x) (if (<=.f64 y 7042449431493261/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (+.f64 1 z) x) (if (<=.f64 y 3798852232998297/2417851639229258349412352) (.f64 t (-.f64 y z)) (*.f64 (-.f64 t x) y)))))))
(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -5859396586116553/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 t (-.f64 y z)) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (+.f64 1 z) x) (if (<=.f64 y 5286118328169513/1329227995784915872903807060280344576) (.f64 t (-.f64 y z)) (if (<=.f64 y 5374336109842187/72057594037927936) (.f64 z (-.f64 x t)) (.f64 (-.f64 t x) y))))))
(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -5693282889067351/713623846352979940529142984724747568191373312) (.f64 z (neg.f64 t)) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (+.f64 1 z) x) (if (<=.f64 y 5286118328169513/1329227995784915872903807060280344576) (+.f64 (.f64 y t) x) (if (<=.f64 y 5374336109842187/72057594037927936) (.f64 z (-.f64 x t)) (.f64 (-.f64 t x) y))))))
(if (<=.f64 z -2528601566631847/70368744177664) (.f64 z (-.f64 x t)) (if (<=.f64 z 3675700357750807/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (-.f64 x (.f64 x y)) (if (<=.f64 z 2393288093904243/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (+.f64 (.f64 y t) x) (if (<=.f64 z 3852937752313857/1461501637330902918203684832716283019655932542976) (-.f64 x (.f64 x y)) (if (<=.f64 z 6103793540886205/295147905179352825856) (.f64 z (neg.f64 t)) (if (<=.f64 z 7617837199008429/140737488355328) (.f64 (+.f64 1 z) x) (*.f64 z (-.f64 x t))))))))
(if (<=.f64 y -6827782913210473047452991132532736) (+.f64 (.f64 y t) x) (if (<=.f64 y -1521702775785249/2147483648) (-.f64 x (.f64 x y)) (if (<=.f64 y -5693282889067351/713623846352979940529142984724747568191373312) (.f64 z (neg.f64 t)) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (+.f64 1 z) x) (if (<=.f64 y 5286118328169513/1329227995784915872903807060280344576) (+.f64 (.f64 y t) x) (if (<=.f64 y 297211359462545/4503599627370496) (.f64 z x) (if (<=.f64 y 3499999999999999839846965769982410532996250649471952325435170163799140359997645162905054511586961009197242557739429106915922149376) (-.f64 x (.f64 x y)) (+.f64 (.f64 y t) x))))))))
(if (<=.f64 x -8034008978562679/633825300114114700748351602688) (-.f64 x (.f64 x y)) (if (<=.f64 x -5987520928604159/39916806190694396233127454260736771321349025208709150830050944848744237837379281315699159309852714021786848936883849904879448759767871873214783435965696628406400113459021713530350754428887259743653067134890878479866616209102417407777777105368960883150142418137515120832847169904606880198557696) (+.f64 (.f64 y t) x) (if (<=.f64 x 3335150964760163/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (.f64 z (neg.f64 t)) (if (<=.f64 x 5308273041895203/926336713898529563388567880069503262826159877325124512315660672063305037119488) (+.f64 (.f64 y t) x) (-.f64 x (*.f64 x y))))))
(if (<=.f64 z -143620081621188378296357748736) (.f64 z (neg.f64 t)) (if (<=.f64 z 8574006802697107/4096) (+.f64 (.f64 y t) x) (*.f64 z x)))
(if (<=.f64 y -6827782913210473047452991132532736) (.f64 y t) (if (<=.f64 y -1521702775785249/2147483648) (.f64 y (neg.f64 x)) (if (<=.f64 y -5693282889067351/713623846352979940529142984724747568191373312) (.f64 z (neg.f64 t)) (if (<=.f64 y 4764272038129813/4398046511104) x (if (<=.f64 y 40000000000000002346562450802960479021848171455589217552374854182039285408215262438019101431845574359216121503428029997507208414467457024) (.f64 y (neg.f64 x)) (*.f64 y t))))))
(if (<=.f64 z -2528601566631847/70368744177664) (.f64 z (neg.f64 t)) (if (<=.f64 z 3852937752313857/1461501637330902918203684832716283019655932542976) x (if (<=.f64 z 3682488191128957/17179869184) (.f64 z (neg.f64 t)) (if (<=.f64 z 7764252477100663/512) (.f64 y t) (.f64 z x)))))
(if (<=.f64 y -5693282889067351/713623846352979940529142984724747568191373312) (.f64 y t) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) x (.f64 y t)))
x

Outputs
(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) (neg.f64 z))))
(+.f64 x (-.f64 (.f64 (-.f64 t x) y) (.f64 (-.f64 t x) z)))
(+.f64 x (+.f64 (.f64 (-.f64 t x) y) (.f64 z (-.f64 x t))))
(-.f64 x (+.f64 (.f64 (-.f64 t x) z) (.f64 y (-.f64 x t))))
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))
(-.f64 x (*.f64 (-.f64 t x) (-.f64 z y)))
(if (<=.f64 z -7285694702065645/28269553036454149273332760011886696253239742350009903329945699220681916416) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 z 1055763112029711/22300745198530623141535718272648361505980416) (+.f64 (.f64 y (-.f64 t x)) x) (+.f64 x (*.f64 z (-.f64 x t)))))
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(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -7331776051775319/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (-.f64 x (.f64 t z)) (if (<=.f64 y -4739840230390005/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 x (+.f64 z 1)) (if (<=.f64 y 7042449431493261/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472) (-.f64 x (.f64 t z)) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 x (+.f64 z 1)) (if (<=.f64 y 3798852232998297/2417851639229258349412352) (.f64 t (-.f64 y z)) (-.f64 (.f64 t y) (.f64 x y))))))))
(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -7331776051775319/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y -4739840230390005/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 (+.f64 1 z) x) (if (<=.f64 y 7042449431493261/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (+.f64 1 z) x) (if (<=.f64 y 3798852232998297/2417851639229258349412352) (.f64 t (-.f64 y z)) (*.f64 (-.f64 t x) y)))))))
(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -7331776051775319/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y -4739840230390005/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 x (+.f64 z 1)) (if (<=.f64 y 7042449431493261/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 x (+.f64 z 1)) (if (<=.f64 y 3798852232998297/2417851639229258349412352) (.f64 t (-.f64 y z)) (*.f64 (-.f64 t x) y)))))))
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(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -5859396586116553/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 t (-.f64 y z)) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (+.f64 1 z) x) (if (<=.f64 y 5286118328169513/1329227995784915872903807060280344576) (.f64 t (-.f64 y z)) (if (<=.f64 y 5374336109842187/72057594037927936) (.f64 z (-.f64 x t)) (.f64 (-.f64 t x) y))))))
(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -5859396586116553/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 t (-.f64 y z)) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 x (+.f64 z 1)) (if (<=.f64 y 5286118328169513/1329227995784915872903807060280344576) (.f64 t (-.f64 y z)) (if (<=.f64 y 5374336109842187/72057594037927936) (.f64 z (-.f64 x t)) (.f64 (-.f64 t x) y))))))
(if (<=.f64 y -1521702775785249/2147483648) (.f64 (-.f64 t x) y) (if (<=.f64 y -5693282889067351/713623846352979940529142984724747568191373312) (.f64 z (neg.f64 t)) (if (<=.f64 y 3701451127688983/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (+.f64 1 z) x) (if (<=.f64 y 5286118328169513/1329227995784915872903807060280344576) (+.f64 (.f64 y t) x) (if (<=.f64 y 5374336109842187/72057594037927936) (.f64 z (-.f64 x t)) (.f64 (-.f64 t x) y))))))
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x

Compiler

Compiled 628 to 342 computations (45.5% saved)

soundness0.0ms (0%)

end225.0ms (1.3%)

Compiler: Compiled 568 to 223 computations (60.7% saved)

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

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

Iter	Nodes	Cost
0	16	300
1	37	240
2	77	240
3	150	240
4	315	240
5	478	240
6	648	240
7	721	240
8	723	240

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

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

Iter	Nodes	Cost
0	16	300
1	37	240
2	77	240
3	150	240
4	315	240
5	478	240
6	648	240
7	721	240
8	723	240

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

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

Iter	Nodes	Cost
0	16	300
1	37	240
2	77	240
3	150	240
4	315	240
5	478	240
6	648	240
7	721	240
8	723	240