Details

analyze545.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
3.1%	96.6%	0.2%	11
4.7%	95.1%	0.2%	12

Compiler

Compiled 19 to 12 computations (36.8% saved)

sample2.3s (7.6%)

Results

1.7s	7281×	body	256	valid
220.0ms	1342×	body	256	invalid
174.0ms	397×	body	1024	valid
171.0ms	512×	body	512	valid
34.0ms	66×	body	2048	valid

preprocess220.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

867×	`unsub-neg_binary64`
711×	`div-sub_binary64`
458×	`fma-def_binary64`
391×	`distribute-lft-in_binary64`
391×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	150	187
2	390	187
3	1415	187
4	5510	187
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

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

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
859×	`div-sub_binary64`
520×	`unsub-neg_binary64`
354×	`sub-neg_binary64`
232×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	24	17
2	53	17
3	165	17
4	607	17
5	2048	17
6	5463	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 30 to 13 computations (56.7% 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

9.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.8b	(fma.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)) x)
▶	12.6b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 35 to 21 computations (40% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
✓	3.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
✓	4.1b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

Compiler

Compiled 50 to 11 computations (78% saved)

series49.0ms (0.2%)

Counts

3 → 168

Calls

42 calls:

Time	Variable		Point	Expression
19.0ms	t	@	0	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
2.0ms	x	@	-inf	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
2.0ms	y	@	inf	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
1.0ms	t	@	0	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
1.0ms	a	@	inf	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite105.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log-prod_binary64`
704×	`fma-def_binary64`
344×	`fma-neg_binary64`
284×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	287	43
2	4726	43

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

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

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simplify158.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-/l*_binary64`
510×	`associate-/r*_binary64`
378×	`distribute-rgt-in_binary64`
369×	`distribute-lft-in_binary64`
306×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	5310
1	786	5001
2	2658	3626

Stop Event

1×	node limit

Counts

329 → 294

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 z (-.f64 t x)) (-.f64 a z)))
(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
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(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(/.f64 (*.f64 y (-.f64 t x)) a)
(+.f64 (/.f64 (.f64 y (-.f64 t x)) a) (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 t x) a)) (.f64 -1 (/.f64 (*.f64 y (-.f64 t x)) (pow.f64 a 2)))) z))
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(-.f64 t x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z)) t) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z)) (+.f64 t (/.f64 (.f64 a (-.f64 (.f64 -1 (.f64 y (-.f64 t x))) (.f64 -1 (.f64 a (-.f64 t x))))) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) z)) x))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (.f64 y (-.f64 t x))) (.f64 -1 (.f64 a (-.f64 t x))))) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z)) (+.f64 t (/.f64 (.f64 a (-.f64 (.f64 -1 (.f64 y (-.f64 t x))) (.f64 -1 (.f64 a (-.f64 t x))))) (pow.f64 z 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) x))
(-.f64 t x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y (-.f64 t x)) (*.f64 a (-.f64 t x))) z)) t) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y (-.f64 t x)) (.f64 a (-.f64 t x))) z)) (+.f64 t (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 y (-.f64 t x)) (*.f64 a (-.f64 t x)))) (pow.f64 z 2))))) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 y (-.f64 t x)) (.f64 a (-.f64 t x)))) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y (-.f64 t x)) (.f64 a (-.f64 t x))) z)) (+.f64 t (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 y (-.f64 t x)) (*.f64 a (-.f64 t x)))) (pow.f64 z 2)))))) x)
(.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z)))
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(+.f64 (.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))))
(+.f64 (.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))))
(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))))
(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))))
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(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 t x) z)) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) (pow.f64 z 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 t x) z)) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (-.f64 t x)) (pow.f64 z 4))))))

Outputs
(.f64 -1 (/.f64 (.f64 z (-.f64 t x)) (-.f64 a z)))
(neg.f64 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z)))
(/.f64 (neg.f64 z) (/.f64 (-.f64 a z) (-.f64 t x)))
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (neg.f64 z))
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(-.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 (/.f64 z (-.f64 a z)) (-.f64 t x)))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
(/.f64 y (/.f64 (-.f64 a z) (-.f64 t x)))
(/.f64 (-.f64 t x) (/.f64 (-.f64 a z) y))
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) y)
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
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(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(-.f64 t x)
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(-.f64 (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))) x)
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(-.f64 (+.f64 t (*.f64 (+.f64 (/.f64 a z) 1) (/.f64 (-.f64 t x) (/.f64 z (fma.f64 -1 y a))))) x)
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(-.f64 t x)
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(+.f64 (+.f64 (.f64 (/.f64 (-.f64 t x) (pow.f64 a 4)) (pow.f64 z 3)) (.f64 (/.f64 (-.f64 t x) (.f64 a a)) (+.f64 z (/.f64 (.f64 z z) a)))) (/.f64 (-.f64 t x) a))
(/.f64 (-.f64 t x) a)
(-.f64 (+.f64 (/.f64 t a) (/.f64 (*.f64 z (-.f64 t x)) (pow.f64 a 2))) (/.f64 x a))
(+.f64 (/.f64 t a) (-.f64 (/.f64 (-.f64 t x) (/.f64 (*.f64 a a) z)) (/.f64 x a)))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) (.f64 a a)) (/.f64 (-.f64 t x) a))
(*.f64 (+.f64 (/.f64 z a) 1) (/.f64 (-.f64 t x) a))
(-.f64 (+.f64 (/.f64 t a) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 3)) (/.f64 (.f64 (-.f64 t x) z) (pow.f64 a 2)))) (/.f64 x a))
(-.f64 (+.f64 (/.f64 t a) (+.f64 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) z)) (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 3) (.f64 z z))))) (/.f64 x a))
(+.f64 (+.f64 (/.f64 (.f64 z (-.f64 t x)) (.f64 a a)) (.f64 (/.f64 (-.f64 t x) (pow.f64 a 3)) (.f64 z z))) (/.f64 (-.f64 t x) a))
(+.f64 (.f64 (/.f64 (-.f64 t x) (.f64 a a)) (+.f64 z (/.f64 (*.f64 z z) a))) (/.f64 (-.f64 t x) a))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 4)) (+.f64 (/.f64 t a) (+.f64 (/.f64 (.f64 (-.f64 t x) z) (pow.f64 a 2)) (/.f64 (*.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 3))))) (/.f64 x a))
(+.f64 (/.f64 t a) (-.f64 (+.f64 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) z)) (+.f64 (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 3) (.f64 z z))) (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 4) (pow.f64 z 3))))) (/.f64 x a)))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 t x) (pow.f64 a 3)) (.f64 z z)) (+.f64 (/.f64 (.f64 z (-.f64 t x)) (.f64 a a)) (*.f64 (/.f64 (pow.f64 z 3) (pow.f64 a 4)) (-.f64 t x)))) (/.f64 (-.f64 t x) a))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 t x) (pow.f64 a 4)) (pow.f64 z 3)) (.f64 (/.f64 (-.f64 t x) (.f64 a a)) (+.f64 z (/.f64 (.f64 z z) a)))) (/.f64 (-.f64 t x) a))
(/.f64 (-.f64 t x) a)
(-.f64 (+.f64 (/.f64 t a) (/.f64 (*.f64 (-.f64 t x) z) (pow.f64 a 2))) (/.f64 x a))
(+.f64 (/.f64 t a) (-.f64 (/.f64 (-.f64 t x) (/.f64 (*.f64 a a) z)) (/.f64 x a)))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) (.f64 a a)) (/.f64 (-.f64 t x) a))
(*.f64 (+.f64 (/.f64 z a) 1) (/.f64 (-.f64 t x) a))
(-.f64 (+.f64 (/.f64 t a) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 3)) (/.f64 (.f64 z (-.f64 t x)) (pow.f64 a 2)))) (/.f64 x a))
(-.f64 (+.f64 (/.f64 t a) (+.f64 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) z)) (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 3) (.f64 z z))))) (/.f64 x a))
(+.f64 (+.f64 (/.f64 (.f64 z (-.f64 t x)) (.f64 a a)) (.f64 (/.f64 (-.f64 t x) (pow.f64 a 3)) (.f64 z z))) (/.f64 (-.f64 t x) a))
(+.f64 (.f64 (/.f64 (-.f64 t x) (.f64 a a)) (+.f64 z (/.f64 (*.f64 z z) a))) (/.f64 (-.f64 t x) a))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 4)) (+.f64 (/.f64 t a) (+.f64 (/.f64 (.f64 z (-.f64 t x)) (pow.f64 a 2)) (/.f64 (*.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 3))))) (/.f64 x a))
(+.f64 (/.f64 t a) (-.f64 (+.f64 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) z)) (+.f64 (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 3) (.f64 z z))) (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 4) (pow.f64 z 3))))) (/.f64 x a)))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 t x) (pow.f64 a 3)) (.f64 z z)) (+.f64 (/.f64 (.f64 z (-.f64 t x)) (.f64 a a)) (*.f64 (/.f64 (pow.f64 z 3) (pow.f64 a 4)) (-.f64 t x)))) (/.f64 (-.f64 t x) a))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 t x) (pow.f64 a 4)) (pow.f64 z 3)) (.f64 (/.f64 (-.f64 t x) (.f64 a a)) (+.f64 z (/.f64 (.f64 z z) a)))) (/.f64 (-.f64 t x) a))
(*.f64 -1 (/.f64 (-.f64 t x) z))
(neg.f64 (/.f64 (-.f64 t x) z))
(/.f64 (neg.f64 (-.f64 t x)) z)
(+.f64 (.f64 -1 (/.f64 (-.f64 t x) z)) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) (pow.f64 z 2))))
(.f64 -1 (+.f64 (/.f64 (-.f64 t x) z) (/.f64 a (/.f64 (.f64 z z) (-.f64 t x)))))
(-.f64 (/.f64 (neg.f64 (-.f64 t x)) z) (*.f64 (/.f64 (-.f64 t x) z) (/.f64 a z)))
(*.f64 (/.f64 (-.f64 t x) z) (-.f64 -1 (/.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 t x) z)) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) (pow.f64 z 2)))))
(fma.f64 -1 (/.f64 (.f64 a a) (/.f64 (pow.f64 z 3) (-.f64 t x))) (.f64 -1 (+.f64 (/.f64 (-.f64 t x) z) (/.f64 a (/.f64 (*.f64 z z) (-.f64 t x))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 t x)) z) (.f64 (/.f64 (-.f64 t x) z) (/.f64 a z))) (.f64 (/.f64 a (/.f64 (pow.f64 z 3) a)) (-.f64 t x)))
(-.f64 (.f64 (/.f64 (-.f64 t x) z) (-.f64 -1 (/.f64 a z))) (.f64 (/.f64 (-.f64 t x) (pow.f64 z 3)) (*.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 t x) z)) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (-.f64 t x)) (pow.f64 z 4))))))
(fma.f64 -1 (/.f64 (.f64 a a) (/.f64 (pow.f64 z 3) (-.f64 t x))) (fma.f64 -1 (/.f64 (-.f64 t x) z) (.f64 -1 (+.f64 (/.f64 a (/.f64 (*.f64 z z) (-.f64 t x))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 z 4) (-.f64 t x)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 t x)) z) (.f64 (/.f64 (-.f64 t x) z) (/.f64 a z))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 z 4) (-.f64 t x)))) (.f64 (/.f64 a (/.f64 (pow.f64 z 3) a)) (-.f64 t x)))
(-.f64 (neg.f64 (.f64 (-.f64 t x) (+.f64 (/.f64 a (.f64 z z)) (/.f64 (pow.f64 a 3) (pow.f64 z 4))))) (.f64 (+.f64 (/.f64 a (/.f64 (.f64 z z) a)) 1) (/.f64 (-.f64 t x) z)))
(*.f64 -1 (/.f64 (-.f64 t x) z))
(neg.f64 (/.f64 (-.f64 t x) z))
(/.f64 (neg.f64 (-.f64 t x)) z)
(+.f64 (.f64 -1 (/.f64 (-.f64 t x) z)) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) (pow.f64 z 2))))
(.f64 -1 (+.f64 (/.f64 (-.f64 t x) z) (/.f64 a (/.f64 (.f64 z z) (-.f64 t x)))))
(-.f64 (/.f64 (neg.f64 (-.f64 t x)) z) (*.f64 (/.f64 (-.f64 t x) z) (/.f64 a z)))
(*.f64 (/.f64 (-.f64 t x) z) (-.f64 -1 (/.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 t x) z)) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) (pow.f64 z 2)))))
(fma.f64 -1 (/.f64 (.f64 a a) (/.f64 (pow.f64 z 3) (-.f64 t x))) (.f64 -1 (+.f64 (/.f64 (-.f64 t x) z) (/.f64 a (/.f64 (*.f64 z z) (-.f64 t x))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 t x)) z) (.f64 (/.f64 (-.f64 t x) z) (/.f64 a z))) (.f64 (/.f64 a (/.f64 (pow.f64 z 3) a)) (-.f64 t x)))
(-.f64 (.f64 (/.f64 (-.f64 t x) z) (-.f64 -1 (/.f64 a z))) (.f64 (/.f64 (-.f64 t x) (pow.f64 z 3)) (*.f64 a a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 t x) z)) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (-.f64 t x)) (pow.f64 z 4))))))
(fma.f64 -1 (/.f64 (.f64 a a) (/.f64 (pow.f64 z 3) (-.f64 t x))) (fma.f64 -1 (/.f64 (-.f64 t x) z) (.f64 -1 (+.f64 (/.f64 a (/.f64 (*.f64 z z) (-.f64 t x))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 z 4) (-.f64 t x)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 t x)) z) (.f64 (/.f64 (-.f64 t x) z) (/.f64 a z))) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 z 4) (-.f64 t x)))) (.f64 (/.f64 a (/.f64 (pow.f64 z 3) a)) (-.f64 t x)))
(-.f64 (neg.f64 (.f64 (-.f64 t x) (+.f64 (/.f64 a (.f64 z z)) (/.f64 (pow.f64 a 3) (pow.f64 z 4))))) (.f64 (+.f64 (/.f64 a (/.f64 (.f64 z z) a)) 1) (/.f64 (-.f64 t x) z)))

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) (-.f64 a z))
✓	4.8b	(fma.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)) x)

Compiler

Compiled 38 to 10 computations (73.7% saved)

series92.0ms (0.3%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	(fma.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)) x)
3.0ms	a	@	inf	(/.f64 (-.f64 y z) (-.f64 a z))
2.0ms	z	@	0	(fma.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)) x)
2.0ms	z	@	0	(/.f64 (-.f64 y z) (-.f64 a z))
2.0ms	a	@	0	(fma.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)) x)

rewrite123.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`log-prod_binary64`
514×	`fma-def_binary64`
264×	`fma-neg_binary64`
261×	`pow1/3_binary64`
254×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	257	27
2	4034	27

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

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

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

simplify267.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

780×	`associate-/l*_binary64`
593×	`distribute-rgt-in_binary64`
587×	`distribute-lft-in_binary64`
533×	`associate-/r*_binary64`
253×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2864
1	703	2677
2	2609	2210

Stop Event

1×	node limit

Counts

181 → 179

Calls

Call 1

Inputs
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z))) x)
(+.f64 (.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))) x))
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(+.f64 (.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))) x))
(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z))) (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z))) (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z))) (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x))
(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))) x))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))) x))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))) x))
(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y z) (-.f64 a z)))) x) (/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y z) (-.f64 a z)))) x) (/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y z) (-.f64 a z)))) x) (/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z)))
(.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y z) (-.f64 a z)))) x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y z) (-.f64 a z)))) x) (/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y z) (-.f64 a z)))) x) (/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y z) (-.f64 a z)))) x) (/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z)))
(.f64 -1 (.f64 (-.f64 (/.f64 y (-.f64 a z)) (+.f64 (/.f64 z (-.f64 a z)) 1)) x))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (*.f64 (-.f64 (/.f64 y (-.f64 a z)) (+.f64 (/.f64 z (-.f64 a z)) 1)) x)))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (*.f64 (-.f64 (/.f64 y (-.f64 a z)) (+.f64 (/.f64 z (-.f64 a z)) 1)) x)))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (.f64 -1 (*.f64 (-.f64 (/.f64 y (-.f64 a z)) (+.f64 (/.f64 z (-.f64 a z)) 1)) x)))
(+.f64 x (.f64 -1 (/.f64 (.f64 z (-.f64 t x)) (-.f64 a z))))
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(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (+.f64 (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))) x))
(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (+.f64 (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))) x))
(*.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y)
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(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (+.f64 (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))) x))
(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (+.f64 (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))) x))
(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (+.f64 (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))) x))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (+.f64 (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))) x))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (+.f64 (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))) x))
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(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 a 2)) (.f64 -1 (/.f64 y (pow.f64 a 3)))) (.f64 (-.f64 t x) (pow.f64 z 2)))) (+.f64 (/.f64 (.f64 y (-.f64 t x)) a) (+.f64 (.f64 -1 (.f64 z (.f64 (+.f64 (/.f64 1 a) (*.f64 -1 (/.f64 y (pow.f64 a 2)))) (-.f64 t x)))) x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 a 2)) (.f64 -1 (/.f64 y (pow.f64 a 3)))) (.f64 (-.f64 t x) (pow.f64 z 2)))) (+.f64 (/.f64 (.f64 y (-.f64 t x)) a) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 a 3)) (.f64 -1 (/.f64 y (pow.f64 a 4)))) (.f64 (-.f64 t x) (pow.f64 z 3)))) (+.f64 (.f64 -1 (.f64 z (.f64 (+.f64 (/.f64 1 a) (*.f64 -1 (/.f64 y (pow.f64 a 2)))) (-.f64 t x)))) x))))
t
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 y) (*.f64 -1 a)) (-.f64 t x)) z) t)
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 a)) (.f64 a (-.f64 t x))) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 y) (*.f64 -1 a)) (-.f64 t x)) z) t))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 a)) (-.f64 t x)) z) (+.f64 (/.f64 (.f64 a (.f64 (-.f64 (.f64 -1 y) (.f64 -1 a)) (-.f64 t x))) (pow.f64 z 2)) (+.f64 t (/.f64 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 a)) (*.f64 (pow.f64 a 2) (-.f64 t x))) (pow.f64 z 3)))))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 (-.f64 y a) (-.f64 t x))) (pow.f64 z 2))) (+.f64 t (.f64 -1 (/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 (-.f64 y a) (-.f64 t x))) (pow.f64 z 2))) (+.f64 t (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (.f64 (-.f64 y a) (-.f64 t x))) (pow.f64 z 3))) (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) (-.f64 t x)) z)) x)
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(+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2))) (-.f64 t x))) z) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) (-.f64 t x)) z)) (+.f64 (.f64 a (.f64 (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2))) (-.f64 t x))) x)))
(+.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 (-.f64 t x) (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2))))) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 (-.f64 t x) (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2))))) z) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) (-.f64 t x)) z)) (+.f64 (.f64 a (.f64 (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2))) (-.f64 t x))) x))))
x
(+.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a) x)
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(+.f64 (/.f64 (.f64 (-.f64 y z) (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 y z) (.f64 (-.f64 t x) (pow.f64 z 2))) (pow.f64 a 3)) (+.f64 (/.f64 (.f64 (-.f64 y z) (*.f64 (-.f64 t x) z)) (pow.f64 a 2)) x)))
x
(+.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a) x)
(+.f64 (/.f64 (.f64 (-.f64 y z) (.f64 z (-.f64 t x))) (pow.f64 a 2)) (+.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a) x))
(+.f64 (/.f64 (.f64 (-.f64 y z) (.f64 (pow.f64 z 2) (-.f64 t x))) (pow.f64 a 3)) (+.f64 (/.f64 (.f64 (-.f64 y z) (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 y z) (*.f64 (-.f64 t x) z)) (pow.f64 a 2)) x)))
(*.f64 -1 (/.f64 z (-.f64 a z)))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(/.f64 y (-.f64 a z))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(/.f64 y (-.f64 a z))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(+.f64 (/.f64 y (-.f64 a z)) (*.f64 -1 (/.f64 z (-.f64 a z))))
(/.f64 y a)
(+.f64 (/.f64 y a) (.f64 -1 (.f64 z (+.f64 (/.f64 1 a) (*.f64 -1 (/.f64 y (pow.f64 a 2)))))))
(+.f64 (/.f64 y a) (+.f64 (.f64 -1 (.f64 z (+.f64 (/.f64 1 a) (.f64 -1 (/.f64 y (pow.f64 a 2)))))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 a 2)) (.f64 -1 (/.f64 y (pow.f64 a 3)))) (pow.f64 z 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 a 3)) (.f64 -1 (/.f64 y (pow.f64 a 4)))) (pow.f64 z 3))) (+.f64 (/.f64 y a) (+.f64 (.f64 -1 (.f64 z (+.f64 (/.f64 1 a) (.f64 -1 (/.f64 y (pow.f64 a 2)))))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 a 2)) (*.f64 -1 (/.f64 y (pow.f64 a 3)))) (pow.f64 z 2))))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 y z)) 1) (.f64 -1 (/.f64 a z)))
(-.f64 (+.f64 (.f64 -1 (/.f64 y z)) (+.f64 1 (/.f64 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 a)) a) (pow.f64 z 2)))) (*.f64 -1 (/.f64 a z)))
(-.f64 (+.f64 (.f64 -1 (/.f64 y z)) (+.f64 1 (+.f64 (/.f64 (.f64 a (-.f64 (.f64 -1 y) (.f64 -1 a))) (pow.f64 z 2)) (/.f64 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 a)) (pow.f64 a 2)) (pow.f64 z 3))))) (.f64 -1 (/.f64 a z)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 y a) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 y a)) (pow.f64 z 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 y a) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 y a)) (pow.f64 z 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 y a) z)) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (-.f64 y a)) (pow.f64 z 3))))))
(*.f64 -1 (/.f64 (-.f64 y z) z))
(+.f64 (.f64 -1 (/.f64 (-.f64 y z) z)) (.f64 a (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 y z) z)) (+.f64 (.f64 a (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) (/.f64 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) z)))
(+.f64 (.f64 -1 (/.f64 (-.f64 y z) z)) (+.f64 (.f64 a (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) (pow.f64 z 2)) (/.f64 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) z))))
(/.f64 (-.f64 y z) a)
(-.f64 (+.f64 (/.f64 y a) (/.f64 (*.f64 (-.f64 y z) z) (pow.f64 a 2))) (/.f64 z a))
(-.f64 (+.f64 (/.f64 y a) (+.f64 (/.f64 (.f64 (-.f64 y z) z) (pow.f64 a 2)) (/.f64 (.f64 (-.f64 y z) (pow.f64 z 2)) (pow.f64 a 3)))) (/.f64 z a))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y z) (pow.f64 z 3)) (pow.f64 a 4)) (+.f64 (/.f64 y a) (+.f64 (/.f64 (.f64 (-.f64 y z) z) (pow.f64 a 2)) (/.f64 (*.f64 (-.f64 y z) (pow.f64 z 2)) (pow.f64 a 3))))) (/.f64 z a))
(/.f64 (-.f64 y z) a)
(-.f64 (+.f64 (/.f64 y a) (/.f64 (*.f64 (-.f64 y z) z) (pow.f64 a 2))) (/.f64 z a))
(-.f64 (+.f64 (/.f64 y a) (+.f64 (/.f64 (.f64 (-.f64 y z) z) (pow.f64 a 2)) (/.f64 (.f64 (-.f64 y z) (pow.f64 z 2)) (pow.f64 a 3)))) (/.f64 z a))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y z) (pow.f64 z 3)) (pow.f64 a 4)) (+.f64 (/.f64 y a) (+.f64 (/.f64 (.f64 (-.f64 y z) z) (pow.f64 a 2)) (/.f64 (*.f64 (-.f64 y z) (pow.f64 z 2)) (pow.f64 a 3))))) (/.f64 z a))

Outputs
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(fma.f64 -1 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) x)) x)
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(fma.f64 t (/.f64 (-.f64 y z) (-.f64 a z)) (fma.f64 -1 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) x)) x))
(-.f64 (fma.f64 t (/.f64 (-.f64 y z) (-.f64 a z)) x) (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) x))
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (-.f64 t x)))
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(fma.f64 t (/.f64 (-.f64 y z) (-.f64 a z)) (fma.f64 -1 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) x)) x))
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(fma.f64 t (/.f64 (-.f64 y z) (-.f64 a z)) (fma.f64 -1 (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) x)) x))
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(-.f64 (-.f64 (/.f64 y a) (.f64 (-.f64 (/.f64 1 (pow.f64 a 3)) (/.f64 y (pow.f64 a 4))) (pow.f64 z 3))) (.f64 z (+.f64 (-.f64 (/.f64 1 a) (/.f64 y (.f64 a a))) (.f64 z (-.f64 (/.f64 (/.f64 1 a) a) (/.f64 y (pow.f64 a 3)))))))
1
(-.f64 (+.f64 (.f64 -1 (/.f64 y z)) 1) (.f64 -1 (/.f64 a z)))
(-.f64 (fma.f64 -1 (/.f64 y z) 1) (/.f64 (neg.f64 a) z))
(-.f64 1 (/.f64 (-.f64 y a) z))
(+.f64 1 (/.f64 (-.f64 a y) z))
(-.f64 (+.f64 (.f64 -1 (/.f64 y z)) (+.f64 1 (/.f64 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 a)) a) (pow.f64 z 2)))) (*.f64 -1 (/.f64 a z)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 y z) 1) (/.f64 (.f64 a (.f64 -1 (-.f64 y a))) (*.f64 z z))) (/.f64 (neg.f64 a) z))
(-.f64 (-.f64 1 (/.f64 (-.f64 y a) z)) (*.f64 (/.f64 a z) (/.f64 (-.f64 y a) z)))
(+.f64 1 (*.f64 (+.f64 (/.f64 a z) 1) (/.f64 (-.f64 a y) z)))
(-.f64 (+.f64 (.f64 -1 (/.f64 y z)) (+.f64 1 (+.f64 (/.f64 (.f64 a (-.f64 (.f64 -1 y) (.f64 -1 a))) (pow.f64 z 2)) (/.f64 (.f64 (-.f64 (.f64 -1 y) (.f64 -1 a)) (pow.f64 a 2)) (pow.f64 z 3))))) (.f64 -1 (/.f64 a z)))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 y z) 1) (+.f64 (/.f64 (.f64 a (.f64 -1 (-.f64 y a))) (.f64 z z)) (/.f64 (.f64 -1 (-.f64 y a)) (/.f64 (pow.f64 z 3) (*.f64 a a))))) (/.f64 (neg.f64 a) z))
(-.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (.f64 a a) (pow.f64 z 3)) (-.f64 y a))) (*.f64 (/.f64 a z) (/.f64 (-.f64 y a) z)))
(+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 a y) (.f64 z z)) (+.f64 a (/.f64 (*.f64 a a) z)))) (/.f64 (-.f64 a y) z))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 y a) z)))
(-.f64 (fma.f64 -1 (/.f64 y z) 1) (/.f64 (neg.f64 a) z))
(-.f64 1 (/.f64 (-.f64 y a) z))
(+.f64 1 (/.f64 (-.f64 a y) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 y a)) (pow.f64 z 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 y a) z))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 y z) 1) (/.f64 (.f64 a (.f64 -1 (-.f64 y a))) (*.f64 z z))) (/.f64 (neg.f64 a) z))
(-.f64 (-.f64 1 (/.f64 (-.f64 y a) z)) (*.f64 (/.f64 a z) (/.f64 (-.f64 y a) z)))
(+.f64 1 (*.f64 (+.f64 (/.f64 a z) 1) (/.f64 (-.f64 a y) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 y a)) (pow.f64 z 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 y a) z)) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 2) (-.f64 y a)) (pow.f64 z 3))))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 y z) 1) (+.f64 (/.f64 (.f64 a (.f64 -1 (-.f64 y a))) (.f64 z z)) (/.f64 (.f64 -1 (-.f64 y a)) (/.f64 (pow.f64 z 3) (*.f64 a a))))) (/.f64 (neg.f64 a) z))
(-.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (.f64 a a) (pow.f64 z 3)) (-.f64 y a))) (*.f64 (/.f64 a z) (/.f64 (-.f64 y a) z)))
(+.f64 (+.f64 1 (.f64 (/.f64 (-.f64 a y) (.f64 z z)) (+.f64 a (/.f64 (*.f64 a a) z)))) (/.f64 (-.f64 a y) z))
(*.f64 -1 (/.f64 (-.f64 y z) z))
(neg.f64 (/.f64 (-.f64 y z) z))
(/.f64 (neg.f64 (-.f64 y z)) z)
(-.f64 1 (/.f64 y z))
(+.f64 (.f64 -1 (/.f64 (-.f64 y z) z)) (.f64 a (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))))
(fma.f64 -1 (/.f64 (-.f64 y z) z) (.f64 a (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z)))))
(-.f64 (.f64 a (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z)))) (+.f64 (/.f64 y z) -1))
(fma.f64 a (-.f64 (/.f64 1 z) (/.f64 y (*.f64 z z))) (-.f64 1 (/.f64 y z)))
(+.f64 (.f64 -1 (/.f64 (-.f64 y z) z)) (+.f64 (.f64 a (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) (/.f64 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) z)))
(fma.f64 -1 (/.f64 (-.f64 y z) z) (fma.f64 a (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))) (/.f64 (.f64 a a) (/.f64 z (-.f64 (/.f64 1 z) (/.f64 y (*.f64 z z)))))))
(-.f64 (fma.f64 a (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))) (.f64 (/.f64 a (/.f64 z a)) (-.f64 (/.f64 1 z) (/.f64 y (*.f64 z z))))) (+.f64 (/.f64 y z) -1))
(+.f64 (-.f64 1 (/.f64 y z)) (.f64 (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))) (+.f64 a (/.f64 (*.f64 a a) z))))
(+.f64 (.f64 -1 (/.f64 (-.f64 y z) z)) (+.f64 (.f64 a (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) (pow.f64 z 2)) (/.f64 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 z) (/.f64 y (pow.f64 z 2)))) z))))
(fma.f64 -1 (/.f64 (-.f64 y z) z) (fma.f64 a (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))) (+.f64 (/.f64 (.f64 a a) (/.f64 z (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))))) (/.f64 (pow.f64 a 3) (/.f64 (.f64 z z) (-.f64 (/.f64 1 z) (/.f64 y (*.f64 z z))))))))
(+.f64 (-.f64 (fma.f64 a (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))) (.f64 (/.f64 a (/.f64 z a)) (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))))) (+.f64 (/.f64 y z) -1)) (.f64 (/.f64 (pow.f64 a 3) (.f64 z z)) (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z)))))
(+.f64 (fma.f64 a (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))) (-.f64 1 (/.f64 y z))) (.f64 (-.f64 (/.f64 1 z) (/.f64 y (.f64 z z))) (+.f64 (/.f64 (pow.f64 a 3) (.f64 z z)) (/.f64 (*.f64 a a) z))))
(/.f64 (-.f64 y z) a)
(-.f64 (+.f64 (/.f64 y a) (/.f64 (*.f64 (-.f64 y z) z) (pow.f64 a 2))) (/.f64 z a))
(+.f64 (/.f64 y a) (-.f64 (/.f64 (-.f64 y z) (/.f64 (*.f64 a a) z)) (/.f64 z a)))
(+.f64 (*.f64 (/.f64 (-.f64 y z) a) (/.f64 z a)) (/.f64 (-.f64 y z) a))
(*.f64 (+.f64 (/.f64 z a) 1) (/.f64 (-.f64 y z) a))
(-.f64 (+.f64 (/.f64 y a) (+.f64 (/.f64 (.f64 (-.f64 y z) z) (pow.f64 a 2)) (/.f64 (.f64 (-.f64 y z) (pow.f64 z 2)) (pow.f64 a 3)))) (/.f64 z a))
(+.f64 (/.f64 y a) (-.f64 (+.f64 (/.f64 (-.f64 y z) (/.f64 (.f64 a a) z)) (/.f64 (-.f64 y z) (/.f64 (pow.f64 a 3) (.f64 z z)))) (/.f64 z a)))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 y z) a) (/.f64 z a)) (/.f64 (.f64 z z) (/.f64 (pow.f64 a 3) (-.f64 y z)))) (/.f64 (-.f64 y z) a))
(+.f64 (.f64 (/.f64 (-.f64 y z) (.f64 a a)) (+.f64 z (/.f64 z (/.f64 a z)))) (/.f64 (-.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y z) (pow.f64 z 3)) (pow.f64 a 4)) (+.f64 (/.f64 y a) (+.f64 (/.f64 (.f64 (-.f64 y z) z) (pow.f64 a 2)) (/.f64 (*.f64 (-.f64 y z) (pow.f64 z 2)) (pow.f64 a 3))))) (/.f64 z a))
(+.f64 (/.f64 (.f64 (-.f64 y z) (pow.f64 z 3)) (pow.f64 a 4)) (+.f64 (/.f64 y a) (-.f64 (+.f64 (/.f64 (-.f64 y z) (/.f64 (.f64 a a) z)) (/.f64 (-.f64 y z) (/.f64 (pow.f64 a 3) (*.f64 z z)))) (/.f64 z a))))
(+.f64 (+.f64 (+.f64 (.f64 (/.f64 (-.f64 y z) a) (/.f64 z a)) (/.f64 (.f64 z z) (/.f64 (pow.f64 a 3) (-.f64 y z)))) (/.f64 (-.f64 y z) a)) (*.f64 (/.f64 (-.f64 y z) (pow.f64 a 4)) (pow.f64 z 3)))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 y z) (.f64 a a)) (+.f64 z (/.f64 z (/.f64 a z)))) (/.f64 (-.f64 y z) a)) (*.f64 (/.f64 (pow.f64 z 3) (pow.f64 a 4)) (-.f64 y z)))
(/.f64 (-.f64 y z) a)
(-.f64 (+.f64 (/.f64 y a) (/.f64 (*.f64 (-.f64 y z) z) (pow.f64 a 2))) (/.f64 z a))
(+.f64 (/.f64 y a) (-.f64 (/.f64 (-.f64 y z) (/.f64 (*.f64 a a) z)) (/.f64 z a)))
(+.f64 (*.f64 (/.f64 (-.f64 y z) a) (/.f64 z a)) (/.f64 (-.f64 y z) a))
(*.f64 (+.f64 (/.f64 z a) 1) (/.f64 (-.f64 y z) a))
(-.f64 (+.f64 (/.f64 y a) (+.f64 (/.f64 (.f64 (-.f64 y z) z) (pow.f64 a 2)) (/.f64 (.f64 (-.f64 y z) (pow.f64 z 2)) (pow.f64 a 3)))) (/.f64 z a))
(+.f64 (/.f64 y a) (-.f64 (+.f64 (/.f64 (-.f64 y z) (/.f64 (.f64 a a) z)) (/.f64 (-.f64 y z) (/.f64 (pow.f64 a 3) (.f64 z z)))) (/.f64 z a)))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 y z) a) (/.f64 z a)) (/.f64 (.f64 z z) (/.f64 (pow.f64 a 3) (-.f64 y z)))) (/.f64 (-.f64 y z) a))
(+.f64 (.f64 (/.f64 (-.f64 y z) (.f64 a a)) (+.f64 z (/.f64 z (/.f64 a z)))) (/.f64 (-.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y z) (pow.f64 z 3)) (pow.f64 a 4)) (+.f64 (/.f64 y a) (+.f64 (/.f64 (.f64 (-.f64 y z) z) (pow.f64 a 2)) (/.f64 (*.f64 (-.f64 y z) (pow.f64 z 2)) (pow.f64 a 3))))) (/.f64 z a))
(+.f64 (/.f64 (.f64 (-.f64 y z) (pow.f64 z 3)) (pow.f64 a 4)) (+.f64 (/.f64 y a) (-.f64 (+.f64 (/.f64 (-.f64 y z) (/.f64 (.f64 a a) z)) (/.f64 (-.f64 y z) (/.f64 (pow.f64 a 3) (*.f64 z z)))) (/.f64 z a))))
(+.f64 (+.f64 (+.f64 (.f64 (/.f64 (-.f64 y z) a) (/.f64 z a)) (/.f64 (.f64 z z) (/.f64 (pow.f64 a 3) (-.f64 y z)))) (/.f64 (-.f64 y z) a)) (*.f64 (/.f64 (-.f64 y z) (pow.f64 a 4)) (pow.f64 z 3)))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 y z) (.f64 a a)) (+.f64 z (/.f64 z (/.f64 a z)))) (/.f64 (-.f64 y z) a)) (*.f64 (/.f64 (pow.f64 z 3) (pow.f64 a 4)) (-.f64 y z)))

eval358.0ms (1.2%)

Compiler: Compiled 11309 to 3197 computations (71.7% saved)

prune116.0ms (0.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	455	18	473
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	457	18	475

Error

0.0b

Counts

475 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	33.6b	(+.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 (-.f64 t x) (-.f64 (.f64 a a) (.f64 z z))) (+.f64 z a))))
▶	37.1b	(+.f64 x (*.f64 (/.f64 (-.f64 t x) a) y))
▶	12.4b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
	31.8b	(-.f64 x (/.f64 z (/.f64 (-.f64 a z) (-.f64 t x))))
	48.0b	x
▶	32.6b	(-.f64 t (*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a)))
	12.6b	(+.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 1 (-.f64 a z)) (-.f64 t x))))
▶	48.9b	(+.f64 x (-.f64 t x))
	41.0b	(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
	32.3b	(*.f64 (/.f64 t (-.f64 a z)) (-.f64 y z))
	41.9b	(*.f64 (/.f64 y (-.f64 a z)) (-.f64 t x))
	44.6b	(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
	33.1b	(+.f64 t (*.f64 (/.f64 (-.f64 a y) z) (-.f64 t x)))
	33.0b	(+.f64 t (*.f64 (+.f64 (/.f64 a z) 1) (/.f64 (-.f64 t x) (/.f64 z (fma.f64 -1 y a)))))
▶	35.5b	(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z)) t) (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)))
	44.7b	t
	13.2b	(+.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 a z)) 2)) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))))
	37.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t x)))

Compiler

Compiled 578 to 366 computations (36.7% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
✓	3.0b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
✓	4.3b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

Compiler

Compiled 50 to 11 computations (78% saved)

series20.0ms (0.1%)

Counts

3 → 168

Calls

42 calls:

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

rewrite102.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`fma-def_binary64`
425×	`fma-neg_binary64`
294×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`
234×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	296	43
2	5134	43

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

Inputs
(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))
(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
(/.f64 (-.f64 a z) (-.f64 t x))

Outputs

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

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

918×	`associate-/l*_binary64`
531×	`associate-/r*_binary64`
405×	`distribute-rgt-in_binary64`
395×	`distribute-lft-in_binary64`
297×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	5312
1	833	4893
2	2823	3604

Stop Event

1×	node limit

Counts

372 → 335

Calls

Call 1

Inputs
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(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(/.f64 (*.f64 y (-.f64 t x)) a)
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(-.f64 t x)
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(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (.f64 y (-.f64 t x))) (.f64 -1 (.f64 a (-.f64 t x))))) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z)) (+.f64 t (/.f64 (.f64 a (-.f64 (.f64 -1 (.f64 y (-.f64 t x))) (.f64 -1 (.f64 a (-.f64 t x))))) (pow.f64 z 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) x))
(-.f64 t x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y (-.f64 t x)) (*.f64 a (-.f64 t x))) z)) t) x)
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(.f64 -1 (/.f64 (.f64 (-.f64 y z) (-.f64 t x)) z))
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(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a)
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(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a)
(+.f64 (/.f64 (.f64 (-.f64 y z) (.f64 z (-.f64 t x))) (pow.f64 a 2)) (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a))
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(.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z)))
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(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
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(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
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(.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z)))
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(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
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(.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y z) (-.f64 a z)))) x)
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(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
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t
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z)) t) (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)))
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(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 -1 (.f64 y (-.f64 t x))) (.f64 -1 (.f64 a (-.f64 t x))))) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z)) (+.f64 t (/.f64 (.f64 a (-.f64 (.f64 -1 (.f64 y (-.f64 t x))) (.f64 -1 (.f64 a (-.f64 t x))))) (pow.f64 z 2))))) (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)))
t
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y (-.f64 t x)) (*.f64 a (-.f64 t x))) z)) t)
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x
(+.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a) x)
(+.f64 (/.f64 (.f64 (-.f64 y z) (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 y z) (*.f64 (-.f64 t x) z)) (pow.f64 a 2)) x))
(+.f64 (/.f64 (.f64 (-.f64 y z) (.f64 z (-.f64 t x))) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 (-.f64 y z) (.f64 (pow.f64 z 2) (-.f64 t x))) (pow.f64 a 3)) (+.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a) x)))
x
(+.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) a) x)
(+.f64 (/.f64 (.f64 (-.f64 y z) (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 y z) (*.f64 (-.f64 t x) z)) (pow.f64 a 2)) x))
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(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z))) x)
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(+.f64 (.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))) x))
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(*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z))) (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y z) x) (-.f64 a z))) (+.f64 (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) x))
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(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
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(+.f64 (/.f64 (.f64 t (-.f64 y z)) (-.f64 a z)) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z))) x))
(*.f64 -1 (/.f64 z (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(/.f64 a (-.f64 t x))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(/.f64 a (-.f64 t x))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(/.f64 a (-.f64 t x))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(*.f64 -1 (/.f64 z (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
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(*.f64 -1 (/.f64 z (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(+.f64 (*.f64 -1 (/.f64 z (-.f64 t x))) (/.f64 a (-.f64 t x)))
(*.f64 -1 (/.f64 (-.f64 a z) x))
(+.f64 (.f64 t (-.f64 (/.f64 z (pow.f64 x 2)) (/.f64 a (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 a z) x)))
(+.f64 (.f64 t (-.f64 (/.f64 z (pow.f64 x 2)) (/.f64 a (pow.f64 x 2)))) (+.f64 (/.f64 (.f64 (pow.f64 t 2) (-.f64 (/.f64 z (pow.f64 x 2)) (/.f64 a (pow.f64 x 2)))) x) (*.f64 -1 (/.f64 (-.f64 a z) x))))
(+.f64 (.f64 t (-.f64 (/.f64 z (pow.f64 x 2)) (/.f64 a (pow.f64 x 2)))) (+.f64 (/.f64 (.f64 (pow.f64 t 3) (-.f64 (/.f64 z (pow.f64 x 2)) (/.f64 a (pow.f64 x 2)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (pow.f64 t 2) (-.f64 (/.f64 z (pow.f64 x 2)) (/.f64 a (pow.f64 x 2)))) x) (.f64 -1 (/.f64 (-.f64 a z) x)))))
(/.f64 (-.f64 a z) t)
(-.f64 (+.f64 (/.f64 (*.f64 x (-.f64 a z)) (pow.f64 t 2)) (/.f64 a t)) (/.f64 z t))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 a z)) (pow.f64 t 3)) (+.f64 (/.f64 a t) (/.f64 (.f64 (-.f64 a z) x) (pow.f64 t 2)))) (/.f64 z t))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 a z) (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 a t) (+.f64 (/.f64 (.f64 (-.f64 a z) x) (pow.f64 t 2)) (/.f64 (*.f64 (pow.f64 x 3) (-.f64 a z)) (pow.f64 t 4))))) (/.f64 z t))
(/.f64 (-.f64 a z) t)
(-.f64 (+.f64 (/.f64 (*.f64 x (-.f64 a z)) (pow.f64 t 2)) (/.f64 a t)) (/.f64 z t))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 a z)) (pow.f64 t 3)) (+.f64 (/.f64 a t) (/.f64 (.f64 (-.f64 a z) x) (pow.f64 t 2)))) (/.f64 z t))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 a z) (pow.f64 x 3)) (pow.f64 t 4)) (+.f64 (/.f64 (.f64 (-.f64 a z) (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 a t) (/.f64 (*.f64 (-.f64 a z) x) (pow.f64 t 2))))) (/.f64 z t))
(/.f64 (-.f64 a z) t)
(-.f64 (+.f64 (/.f64 a t) (/.f64 (*.f64 (-.f64 a z) x) (pow.f64 t 2))) (/.f64 z t))
(-.f64 (+.f64 (/.f64 (.f64 x (-.f64 a z)) (pow.f64 t 2)) (+.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 a z)) (pow.f64 t 3)) (/.f64 a t))) (/.f64 z t))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 a z) (pow.f64 x 3)) (pow.f64 t 4)) (+.f64 (/.f64 (.f64 (-.f64 a z) (pow.f64 x 2)) (pow.f64 t 3)) (+.f64 (/.f64 (*.f64 x (-.f64 a z)) (pow.f64 t 2)) (/.f64 a t)))) (/.f64 z t))
(*.f64 -1 (/.f64 (-.f64 a z) x))
(+.f64 (.f64 -1 (/.f64 (.f64 t (-.f64 a z)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 a z) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 t (-.f64 a z)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 t 2) (-.f64 a z)) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 a z) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 t (-.f64 a z)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 t 2) (-.f64 a z)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 a z) x)) (.f64 -1 (/.f64 (*.f64 (pow.f64 t 3) (-.f64 a z)) (pow.f64 x 4))))))
(*.f64 -1 (/.f64 (-.f64 a z) x))
(+.f64 (.f64 -1 (/.f64 (.f64 t (-.f64 a z)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 a z) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 t (-.f64 a z)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 t 2) (-.f64 a z)) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 a z) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 t (-.f64 a z)) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 t 2) (-.f64 a z)) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 a z) x)) (.f64 -1 (/.f64 (*.f64 (pow.f64 t 3) (-.f64 a z)) (pow.f64 x 4))))))

Outputs
(.f64 -1 (/.f64 (.f64 z (-.f64 t x)) (-.f64 a z)))
(neg.f64 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z)))
(/.f64 (*.f64 (neg.f64 z) (-.f64 t x)) (-.f64 a z))
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (neg.f64 z))
(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(fma.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y (neg.f64 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(-.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) z))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(fma.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y (neg.f64 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(-.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) z))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
(+.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(fma.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y (neg.f64 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(-.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) z))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
(/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z))
(*.f64 (/.f64 y (-.f64 a z)) (-.f64 t x))
(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) y)
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
(fma.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y (neg.f64 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
(-.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) z))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 (-.f64 t x) z) (-.f64 a z))))
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(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z))
(*.f64 (/.f64 y (-.f64 a z)) (-.f64 t x))
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(+.f64 (/.f64 (.f64 y (-.f64 t x)) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 z (-.f64 t x)) (-.f64 a z))))
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(-.f64 (.f64 (-.f64 (/.f64 t (-.f64 a z)) (/.f64 x (-.f64 a z))) y) (.f64 (/.f64 (-.f64 t x) (-.f64 a z)) z))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(*.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)))
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(fma.f64 z (fma.f64 -1 (/.f64 (-.f64 t x) a) (.f64 (/.f64 (-.f64 t x) a) (/.f64 y a))) (.f64 (/.f64 y a) (-.f64 t x)))
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(-.f64 (.f64 (/.f64 (-.f64 a z) x) (-.f64 -1 (/.f64 t x))) (.f64 (/.f64 t (/.f64 (pow.f64 x 3) t)) (-.f64 a z)))
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(fma.f64 -1 (/.f64 t (/.f64 (.f64 x x) (-.f64 a z))) (fma.f64 -1 (/.f64 (.f64 t t) (/.f64 (pow.f64 x 3) (-.f64 a z))) (.f64 -1 (+.f64 (/.f64 (-.f64 a z) x) (/.f64 (.f64 (-.f64 a z) (pow.f64 t 3)) (pow.f64 x 4))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 a z)) x) (/.f64 (-.f64 a z) (/.f64 (pow.f64 x 3) (.f64 t t)))) (.f64 (/.f64 (pow.f64 t 3) (pow.f64 x 4)) (-.f64 a z))) (.f64 (/.f64 t (.f64 x x)) (-.f64 a z)))
(-.f64 (-.f64 (.f64 (/.f64 (-.f64 a z) x) (-.f64 -1 (/.f64 t x))) (.f64 (/.f64 t (/.f64 (pow.f64 x 3) t)) (-.f64 a z))) (/.f64 (-.f64 a z) (/.f64 (pow.f64 x 4) (pow.f64 t 3))))

localize13.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(+.f64 x (-.f64 t x))

Compiler

Compiled 15 to 7 computations (53.3% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`pow1_binary64`
736×	`add-log-exp_binary64`
736×	`log1p-expm1-u_binary64`
736×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	121	7
2	1936	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

61 → 38

Calls

Call 1

Inputs
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t

Outputs
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t x) a)
✓	0.0b	(+.f64 x (*.f64 (/.f64 (-.f64 t x) a) y))
✓	5.3b	(*.f64 (/.f64 (-.f64 t x) a) y)

Compiler

Compiled 33 to 9 computations (72.7% saved)

series28.0ms (0.1%)

Counts

3 → 120

Calls

33 calls:

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

rewrite104.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
417×	`pow-prod-down_binary64`
395×	`fma-def_binary64`
304×	`pow2_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	208	28
2	3271	28

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

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

simplify197.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-def_binary64`
720×	`fma-neg_binary64`
204×	`cancel-sign-sub-inv_binary64`
149×	`distribute-rgt-in_binary64`
119×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	1812
1	85	1644
2	170	1158
3	299	1104
4	628	1104
5	1207	1104
6	2244	1104
7	3194	1104
8	3409	1104
9	3508	1104
10	3535	1104
11	3543	1104
12	3543	1104

Stop Event

1×

saturated

Counts

264 → 167

Calls

Call 1

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

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

localize48.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 t (*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a)))
✓	0.0b	(/.f64 (-.f64 t x) z)
✓	2.5b	(*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series52.0ms (0.2%)

Counts

3 → 144

Calls

39 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a))
8.0ms	z	@	inf	(*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a))
2.0ms	a	@	-inf	(-.f64 t (*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a)))
1.0ms	t	@	0	(*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a))
1.0ms	z	@	0	(*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a))

rewrite127.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`log-prod_binary64`
536×	`fma-def_binary64`
258×	`expm1-udef_binary64`
258×	`log1p-udef_binary64`
248×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	262	36
2	4262	36

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a))
(/.f64 (-.f64 t x) z)
(-.f64 t (*.f64 (/.f64 (-.f64 t x) z) (-.f64 y a)))

Outputs

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

simplify155.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-def_binary64`
495×	`unsub-neg_binary64`
410×	`sub-neg_binary64`
293×	`associate-/l*_binary64`
285×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	2875
1	188	2735
2	505	1834
3	1713	1676
4	4947	1670
5	6758	1670
6	7739	1670

Stop Event

1×	node limit

Counts

336 → 241

Calls

Call 1

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

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

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 t x))
✓	4.1b	(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z)) t) (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)))
✓	4.4b	(/.f64 (*.f64 y (-.f64 t x)) z)
✓	4.5b	(/.f64 (*.f64 a (-.f64 t x)) z)

Compiler

Compiled 88 to 24 computations (72.7% saved)

series27.0ms (0.1%)

Counts

4 → 126

Calls

48 calls:

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

rewrite120.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`fma-def_binary64`
430×	`fma-neg_binary64`
299×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
203×	`egg-rr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	366	52
2	5902	48

Stop Event

1×	node limit

Counts

4 → 344

Calls

Call 1

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

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

simplify135.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-neg_binary64`
526×	`unsub-neg_binary64`
441×	`sub-neg_binary64`
328×	`div-sub_binary64`
266×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	1790
1	270	1647
2	751	1407
3	2321	1384
4	5568	1382
5	7452	1382

Stop Event

1×	node limit

Counts

470 → 392

Calls

Call 1

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

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

eval308.0ms (1%)

Compiler: Compiled 26578 to 6472 computations (75.6% saved)

prune272.0ms (0.9%)

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1155	18	1173
Fresh	8	5	13
Picked	1	0	1
Done	2	2	4
Total	1166	25	1191

Error

Counts

1191 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	53.2b	(*.f64 (/.f64 y z) (-.f64 x t))
	32.3b	(*.f64 (/.f64 t (-.f64 a z)) (-.f64 y z))
	44.5b	(-.f64 t (/.f64 (.f64 (-.f64 t x) (.f64 (+.f64 y a) (-.f64 y a))) (*.f64 z (+.f64 y a))))
	44.6b	(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
	40.9b	(+.f64 x (*.f64 (/.f64 t a) y))
▶	52.7b	(*.f64 y (/.f64 (-.f64 x t) z))
	33.6b	(+.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 (-.f64 t x) (-.f64 (.f64 a a) (.f64 z z))) (+.f64 z a))))
✓	37.1b	(+.f64 x (*.f64 (/.f64 (-.f64 t x) a) y))
	40.4b	(+.f64 x (*.f64 t (/.f64 y a)))
	48.0b	x
	44.7b	t
	35.9b	(-.f64 t (*.f64 (/.f64 y z) (-.f64 t x)))
▶	43.1b	(+.f64 x (/.f64 (*.f64 y t) a))
▶	31.8b	(-.f64 x (/.f64 z (/.f64 (-.f64 a z) (-.f64 t x))))
	53.4b	(*.f64 (/.f64 x z) (-.f64 y a))
	53.9b	(/.f64 (*.f64 (-.f64 y a) x) z)
	44.4b	(-.f64 x (*.f64 y (/.f64 x a)))
	42.4b	(-.f64 t (*.f64 a (/.f64 (-.f64 x t) z)))
	44.7b	(+.f64 x (/.f64 x (/.f64 a (neg.f64 y))))
✓	48.9b	(+.f64 x (-.f64 t x))
▶	41.0b	(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
	32.9b	(-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a))))
▶	37.2b	(+.f64 x (/.f64 (-.f64 t x) (/.f64 a y)))
	35.8b	(-.f64 t (*.f64 x (/.f64 (-.f64 a y) z)))
	37.9b	(-.f64 t (/.f64 (*.f64 y (-.f64 t x)) z))

Compiler

Compiled 642 to 412 computations (35.8% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
✓	4.0b	(/.f64 z (/.f64 (-.f64 a z) (-.f64 t x)))
✓	4.3b	(-.f64 x (/.f64 z (/.f64 (-.f64 a z) (-.f64 t x))))

Compiler

Compiled 42 to 10 computations (76.2% saved)

series17.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`log-prod_binary64`
542×	`fma-def_binary64`
256×	`fma-neg_binary64`
247×	`log-div_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	245	29
2	4172	29

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

Inputs
(-.f64 x (/.f64 z (/.f64 (-.f64 a z) (-.f64 t x))))
(/.f64 z (/.f64 (-.f64 a z) (-.f64 t x)))

Outputs

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z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (-.f64 a z)) t (*.f64 (/.f64 z (-.f64 a z)) (neg.f64 x)))))))

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
751×	`times-frac_binary64`
545×	`associate-/l*_binary64`
326×	`associate-r_binary64`
312×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2619
1	597	2451
2	1833	2083

Stop Event

1×	node limit

Counts

256 → 239

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(*.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) x)
(+.f64 (.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) x) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) x) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) x) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
x
(+.f64 (*.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2))) (+.f64 (*.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z) x))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2))) (+.f64 (.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 3))) x)))
(-.f64 (+.f64 (.f64 -1 x) x) (.f64 -1 t))
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (/.f64 (.f64 a t) z) x)) (+.f64 (.f64 -1 t) (/.f64 (.f64 a x) z)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (.f64 -1 x) (+.f64 (/.f64 (.f64 a t) z) x))) (+.f64 (.f64 -1 t) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (/.f64 (.f64 a x) z))))
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (/.f64 (.f64 (pow.f64 a 3) t) (pow.f64 z 3)) (+.f64 (/.f64 (.f64 a t) z) (+.f64 (/.f64 (.f64 (pow.f64 a 2) t) (pow.f64 z 2)) x)))) (+.f64 (.f64 -1 t) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 a x) z) (/.f64 (.f64 (pow.f64 a 3) x) (pow.f64 z 3))))))
(-.f64 x (*.f64 -1 (-.f64 t x)))
(-.f64 (+.f64 (/.f64 (.f64 a (-.f64 t x)) z) x) (.f64 -1 (-.f64 t x)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 a (-.f64 t x)) z) x)) (*.f64 -1 (-.f64 t x)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 a (-.f64 t x)) z) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (-.f64 t x)) (pow.f64 z 3)) x))) (.f64 -1 (-.f64 t x)))
(-.f64 x (*.f64 -1 (-.f64 t x)))
(-.f64 (+.f64 (.f64 a (-.f64 (/.f64 t z) (/.f64 x z))) x) (.f64 -1 (-.f64 t x)))
(-.f64 (+.f64 (.f64 a (-.f64 (/.f64 t z) (/.f64 x z))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (/.f64 x z) (/.f64 t z))) z)) x)) (.f64 -1 (-.f64 t x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (/.f64 x z) (/.f64 t z))) (pow.f64 z 2))) (+.f64 (.f64 a (-.f64 (/.f64 t z) (/.f64 x z))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (/.f64 x z) (/.f64 t z))) z)) x))) (.f64 -1 (-.f64 t x)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) z) a)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2))) x))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) z) a)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (-.f64 t x)) (pow.f64 a 3))) x)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 t x)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 t x)) a)) x))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 t x)) a)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 3))) x)))
(-.f64 x (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))) x) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))) x) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))) x) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))) (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))))
(/.f64 (*.f64 z (-.f64 t x)) a)
(+.f64 (/.f64 (.f64 (-.f64 t x) z) a) (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2)))
(+.f64 (/.f64 (.f64 (-.f64 t x) z) a) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 2)) (/.f64 (*.f64 (pow.f64 z 3) (-.f64 t x)) (pow.f64 a 3))))
(+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 4)) (pow.f64 a 4)) (+.f64 (/.f64 (.f64 (-.f64 t x) z) a) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 3)) (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 2)))))
(*.f64 -1 (-.f64 t x))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (*.f64 -1 (-.f64 t x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (*.f64 -1 (-.f64 t x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (+.f64 (.f64 -1 (-.f64 t x)) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (-.f64 t x)) (pow.f64 z 3))))))
(*.f64 -1 (-.f64 t x))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (*.f64 -1 (-.f64 t x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (*.f64 -1 (-.f64 t x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 t x)) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (+.f64 (.f64 -1 (-.f64 t x)) (.f64 -1 (/.f64 (*.f64 (pow.f64 a 3) (-.f64 t x)) (pow.f64 z 3))))))
(*.f64 -1 (-.f64 t x))
(+.f64 (.f64 a (-.f64 (/.f64 x z) (/.f64 t z))) (.f64 -1 (-.f64 t x)))
(+.f64 (.f64 a (-.f64 (/.f64 x z) (/.f64 t z))) (+.f64 (.f64 -1 (-.f64 t x)) (/.f64 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 x z) (/.f64 t z))) z)))
(+.f64 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (/.f64 x z) (/.f64 t z))) (pow.f64 z 2)) (+.f64 (.f64 a (-.f64 (/.f64 x z) (/.f64 t z))) (+.f64 (.f64 -1 (-.f64 t x)) (/.f64 (.f64 (pow.f64 a 2) (-.f64 (/.f64 x z) (/.f64 t z))) z))))
(/.f64 (*.f64 (-.f64 t x) z) a)
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 2)))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2)) (/.f64 (*.f64 (pow.f64 z 3) (-.f64 t x)) (pow.f64 a 3))))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 3)) (+.f64 (/.f64 (.f64 (pow.f64 z 4) (-.f64 t x)) (pow.f64 a 4)) (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2)))))
(/.f64 (*.f64 (-.f64 t x) z) a)
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 2)))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2)) (/.f64 (*.f64 (pow.f64 z 3) (-.f64 t x)) (pow.f64 a 3))))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 4)) (pow.f64 a 4)) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 3)) (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2)))))
(.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(/.f64 (*.f64 t z) (-.f64 a z))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(/.f64 (*.f64 t z) (-.f64 a z))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(/.f64 (*.f64 t z) (-.f64 a z))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))

Outputs
(.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))
(neg.f64 (/.f64 (*.f64 t z) (-.f64 a z)))
(/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z))
(/.f64 (neg.f64 t) (+.f64 (/.f64 a z) -1))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
(.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x)
(*.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x)
(*.f64 x (+.f64 1 (/.f64 z (-.f64 a z))))
(fma.f64 (/.f64 z (-.f64 a z)) x x)
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 z (-.f64 a z)))) x) (.f64 -1 (/.f64 (.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
(*.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) x)
(*.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x)
(*.f64 x (+.f64 1 (/.f64 z (-.f64 a z))))
(fma.f64 (/.f64 z (-.f64 a z)) x x)
(+.f64 (.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) x) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
(+.f64 (.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) x) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
(+.f64 (.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) x) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 (-.f64 1 (neg.f64 (/.f64 z (-.f64 a z)))) x (neg.f64 (/.f64 (*.f64 t z) (-.f64 a z))))
(fma.f64 x (+.f64 1 (/.f64 z (-.f64 a z))) (/.f64 (*.f64 (neg.f64 t) z) (-.f64 a z)))
(-.f64 (fma.f64 (/.f64 z (-.f64 a z)) x x) (*.f64 (/.f64 z (-.f64 a z)) t))
x
(+.f64 (*.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z) x)
(fma.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z x)
(fma.f64 z (-.f64 (/.f64 x a) (/.f64 t a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2))) (+.f64 (*.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z) x))
(fma.f64 -1 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) (.f64 z z))) (fma.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z x))
(-.f64 (fma.f64 z (-.f64 (/.f64 x a) (/.f64 t a)) x) (/.f64 z (/.f64 (/.f64 (*.f64 a a) (-.f64 t x)) z)))
(-.f64 (fma.f64 z (-.f64 (/.f64 x a) (/.f64 t a)) x) (.f64 (.f64 (/.f64 z a) (-.f64 t x)) (/.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2))) (+.f64 (.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z) (+.f64 (.f64 -1 (/.f64 (*.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 3))) x)))
(fma.f64 -1 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) (.f64 z z))) (fma.f64 (-.f64 (/.f64 x a) (/.f64 t a)) z (fma.f64 -1 (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 3) (pow.f64 z 3))) x)))
(-.f64 (fma.f64 z (-.f64 (/.f64 x a) (/.f64 t a)) (-.f64 x (.f64 (/.f64 (-.f64 t x) (pow.f64 a 3)) (pow.f64 z 3)))) (/.f64 z (/.f64 (/.f64 (.f64 a a) (-.f64 t x)) z)))
(fma.f64 z (-.f64 (/.f64 x a) (/.f64 t a)) (-.f64 x (.f64 (/.f64 (-.f64 t x) (.f64 a a)) (+.f64 (/.f64 (pow.f64 z 3) a) (*.f64 z z)))))
(-.f64 (+.f64 (.f64 -1 x) x) (.f64 -1 t))
(-.f64 (*.f64 0 x) (neg.f64 t))
t
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (/.f64 (.f64 a t) z) x)) (+.f64 (.f64 -1 t) (/.f64 (.f64 a x) z)))
(-.f64 (fma.f64 -1 x (+.f64 x (/.f64 a (/.f64 z t)))) (fma.f64 -1 t (/.f64 a (/.f64 z x))))
(-.f64 (+.f64 (*.f64 (/.f64 a z) t) 0) (-.f64 (/.f64 x (/.f64 z a)) t))
(fma.f64 a (/.f64 (-.f64 t x) z) t)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (.f64 -1 x) (+.f64 (/.f64 (.f64 a t) z) x))) (+.f64 (.f64 -1 t) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (/.f64 (.f64 a x) z))))
(-.f64 (+.f64 (fma.f64 -1 x (+.f64 x (/.f64 a (/.f64 z t)))) (/.f64 (.f64 t (.f64 a a)) (.f64 z z))) (fma.f64 -1 t (+.f64 (/.f64 a (/.f64 z x)) (/.f64 (.f64 x (.f64 a a)) (.f64 z z)))))
(+.f64 (+.f64 (.f64 (/.f64 a z) t) 0) (-.f64 (.f64 (/.f64 t z) (/.f64 (.f64 a a) z)) (+.f64 (-.f64 (/.f64 x (/.f64 z a)) t) (.f64 (/.f64 x z) (/.f64 (*.f64 a a) z)))))
(-.f64 (+.f64 (/.f64 a (/.f64 (.f64 z z) (.f64 t a))) (fma.f64 a (/.f64 (-.f64 t x) z) t)) (*.f64 (/.f64 x z) (/.f64 a (/.f64 z a))))
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (/.f64 (.f64 (pow.f64 a 3) t) (pow.f64 z 3)) (+.f64 (/.f64 (.f64 a t) z) (+.f64 (/.f64 (.f64 (pow.f64 a 2) t) (pow.f64 z 2)) x)))) (+.f64 (.f64 -1 t) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 a x) z) (/.f64 (.f64 (pow.f64 a 3) x) (pow.f64 z 3))))))
(-.f64 (fma.f64 -1 x (+.f64 (/.f64 (.f64 t (pow.f64 a 3)) (pow.f64 z 3)) (+.f64 (/.f64 a (/.f64 z t)) (+.f64 x (/.f64 (.f64 t (.f64 a a)) (.f64 z z)))))) (fma.f64 -1 t (+.f64 (/.f64 (.f64 x (.f64 a a)) (.f64 z z)) (+.f64 (/.f64 a (/.f64 z x)) (/.f64 (.f64 x (pow.f64 a 3)) (pow.f64 z 3))))))
(-.f64 (+.f64 (+.f64 (+.f64 (.f64 (/.f64 a z) t) 0) (.f64 (/.f64 t z) (/.f64 (.f64 a a) z))) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 z 3)) t)) (+.f64 (+.f64 (-.f64 (/.f64 x (/.f64 z a)) t) (.f64 (/.f64 x z) (/.f64 (.f64 a a) z))) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 z 3)) x)))
(+.f64 (.f64 t (+.f64 (/.f64 a z) (.f64 (/.f64 a (.f64 z z)) a))) (fma.f64 (pow.f64 (/.f64 a z) 3) t (-.f64 t (fma.f64 (/.f64 x z) (/.f64 a (/.f64 z a)) (.f64 x (+.f64 (/.f64 a z) (pow.f64 (/.f64 a z) 3)))))))
(-.f64 x (*.f64 -1 (-.f64 t x)))
(-.f64 (*.f64 0 x) (neg.f64 t))
t
(-.f64 (+.f64 (/.f64 (.f64 a (-.f64 t x)) z) x) (.f64 -1 (-.f64 t x)))
(-.f64 (fma.f64 -1 x (+.f64 x (/.f64 a (/.f64 z t)))) (fma.f64 -1 t (/.f64 a (/.f64 z x))))
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(/.f64 (*.f64 (-.f64 t x) z) a)
(/.f64 z (/.f64 a (-.f64 t x)))
(*.f64 (/.f64 (-.f64 t x) a) z)
(*.f64 (/.f64 z a) (-.f64 t x))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (/.f64 (.f64 (pow.f64 z 2) (-.f64 t x)) (pow.f64 a 2)))
(+.f64 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) (.f64 z z))) (/.f64 z (/.f64 a (-.f64 t x))))
(+.f64 (/.f64 z (/.f64 (/.f64 (.f64 a a) (-.f64 t x)) z)) (.f64 (/.f64 (-.f64 t x) a) z))
(.f64 (/.f64 (-.f64 t x) a) (+.f64 (/.f64 (.f64 z z) a) z))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2)) (/.f64 (*.f64 (pow.f64 z 3) (-.f64 t x)) (pow.f64 a 3))))
(+.f64 (/.f64 z (/.f64 a (-.f64 t x))) (+.f64 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) (.f64 z z))) (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 3) (pow.f64 z 3)))))
(+.f64 (.f64 (/.f64 (-.f64 t x) (pow.f64 a 3)) (pow.f64 z 3)) (+.f64 (/.f64 z (/.f64 (/.f64 (.f64 a a) (-.f64 t x)) z)) (*.f64 (/.f64 (-.f64 t x) a) z)))
(+.f64 (/.f64 (-.f64 t x) (pow.f64 (/.f64 a z) 3)) (.f64 (/.f64 (-.f64 t x) a) (+.f64 (/.f64 (.f64 z z) a) z)))
(+.f64 (/.f64 (.f64 z (-.f64 t x)) a) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 4)) (pow.f64 a 4)) (+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 3)) (pow.f64 a 3)) (/.f64 (.f64 (-.f64 t x) (pow.f64 z 2)) (pow.f64 a 2)))))
(+.f64 (/.f64 (.f64 (-.f64 t x) (pow.f64 z 4)) (pow.f64 a 4)) (+.f64 (/.f64 z (/.f64 a (-.f64 t x))) (+.f64 (/.f64 (-.f64 t x) (/.f64 (.f64 a a) (*.f64 z z))) (/.f64 (-.f64 t x) (/.f64 (pow.f64 a 3) (pow.f64 z 3))))))
(+.f64 (.f64 (/.f64 (pow.f64 z 4) (pow.f64 a 4)) (-.f64 t x)) (+.f64 (.f64 (/.f64 (-.f64 t x) (pow.f64 a 3)) (pow.f64 z 3)) (+.f64 (/.f64 z (/.f64 (/.f64 (.f64 a a) (-.f64 t x)) z)) (.f64 (/.f64 (-.f64 t x) a) z))))
(+.f64 (.f64 (-.f64 t x) (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 a 3)) (/.f64 (pow.f64 z 4) (pow.f64 a 4)))) (.f64 (/.f64 (-.f64 t x) a) (+.f64 (/.f64 (*.f64 z z) a) z)))
(.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)))
(neg.f64 (/.f64 (*.f64 z x) (-.f64 a z)))
(/.f64 (neg.f64 z) (/.f64 (-.f64 a z) x))
(*.f64 (/.f64 z (-.f64 a z)) (neg.f64 x))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(/.f64 (*.f64 t z) (-.f64 a z))
(*.f64 (/.f64 t (-.f64 a z)) z)
(*.f64 (/.f64 z (-.f64 a z)) t)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(/.f64 (*.f64 t z) (-.f64 a z))
(*.f64 (/.f64 t (-.f64 a z)) z)
(*.f64 (/.f64 z (-.f64 a z)) t)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(/.f64 (*.f64 t z) (-.f64 a z))
(*.f64 (/.f64 t (-.f64 a z)) z)
(*.f64 (/.f64 z (-.f64 a z)) t)
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)))
(neg.f64 (/.f64 (*.f64 z x) (-.f64 a z)))
(/.f64 (neg.f64 z) (/.f64 (-.f64 a z) x))
(*.f64 (/.f64 z (-.f64 a z)) (neg.f64 x))
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(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)))
(neg.f64 (/.f64 (*.f64 z x) (-.f64 a z)))
(/.f64 (neg.f64 z) (/.f64 (-.f64 a z) x))
(*.f64 (/.f64 z (-.f64 a z)) (neg.f64 x))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (-.f64 a z))) (/.f64 (*.f64 t z) (-.f64 a z)))
(fma.f64 -1 (/.f64 (.f64 z x) (-.f64 a z)) (/.f64 (.f64 t z) (-.f64 a z)))
(-.f64 (.f64 (/.f64 t (-.f64 a z)) z) (/.f64 (.f64 z x) (-.f64 a z)))
(-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) (/.f64 x (+.f64 (/.f64 a z) -1)))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x t) z)
✓	5.8b	(*.f64 y (/.f64 (-.f64 x t) z))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series11.0ms (0%)

Counts

2 → 72

Calls

21 calls:

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

rewrite131.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
507×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
258×	`pow2_binary64`
198×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	179	17
2	2685	17

Stop Event

1×	node limit

Counts

2 → 209

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 x t) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 x t) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 x t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) (neg.f64 (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) (neg.f64 (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) (neg.f64 (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 x (cbrt.f64 z)) (neg.f64 (/.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 x (sqrt.f64 z)) (neg.f64 (/.f64 t z)))))) (#(struct:change #<rule 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simplify133.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
576×	`fma-neg_binary64`
153×	`cancel-sign-sub-inv_binary64`
118×	`distribute-rgt-in_binary64`
87×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	696
1	41	678
2	80	678
3	146	624
4	261	624
5	427	624
6	734	624
7	1228	624
8	2071	624
9	3102	624
10	3179	624
11	3209	624
12	3214	624
13	3214	624

Stop Event

1×

saturated

Counts

281 → 221

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (*.f64 y t) a))
✓	5.4b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(/.f64 (*.f64 y t) a)
1.0ms	y	@	0	(/.f64 (*.f64 y t) a)
1.0ms	t	@	0	(/.f64 (*.f64 y t) a)
1.0ms	a	@	0	(/.f64 (*.f64 y t) a)
1.0ms	a	@	inf	(/.f64 (*.f64 y t) a)

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`prod-diff_binary64`
493×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
247×	`pow2_binary64`
216×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	175	17
2	2599	15

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

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

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	12	408
2	16	336
3	20	336
4	23	336
5	24	336

Stop Event

1×

saturated

Counts

165 → 122

Calls

Call 1

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

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
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(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
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(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
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(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
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(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
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(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)

localize31.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 t x) (/.f64 a y)))
✓	7.2b	(/.f64 (-.f64 t x) (/.f64 a y))

Compiler

Compiled 31 to 9 computations (71% saved)

series22.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(/.f64 (-.f64 t x) (/.f64 a y))
1.0ms	a	@	-inf	(/.f64 (-.f64 t x) (/.f64 a y))
0.0ms	y	@	inf	(/.f64 (-.f64 t x) (/.f64 a y))
0.0ms	y	@	inf	(+.f64 x (/.f64 (-.f64 t x) (/.f64 a y)))
0.0ms	y	@	-inf	(/.f64 (-.f64 t x) (/.f64 a y))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log-prod_binary64`
407×	`fma-def_binary64`
314×	`pow2_binary64`
272×	`fma-neg_binary64`
217×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	214	21
2	3574	21

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

Inputs
(/.f64 (-.f64 t x) (/.f64 a y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 a y)))

Outputs

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

simplify162.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary64`
749×	`fma-neg_binary64`
199×	`cancel-sign-sub-inv_binary64`
149×	`distribute-rgt-in_binary64`
116×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	1602
1	79	1434
2	160	948
3	302	948
4	613	948
5	1202	948
6	2290	948
7	3204	948
8	3421	948
9	3520	948
10	3547	948
11	3555	948
12	3555	948

Stop Event

1×

saturated

Counts

253 → 174

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 t (-.f64 y z))
✓	12.7b	(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))

Compiler

Compiled 29 to 9 computations (69% saved)

series14.0ms (0%)

Counts

2 → 60

Calls

21 calls:

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

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`prod-diff_binary64`
582×	`log-prod_binary64`
330×	`fma-def_binary64`
296×	`pow2_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	205	20
2	3157	20

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

925×	`times-frac_binary64`
669×	`associate-/l*_binary64`
476×	`fma-def_binary64`
368×	`associate-l_binary64`
361×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1414
1	350	1234
2	1354	1051

Stop Event

1×	node limit

Counts

140 → 126

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t z) (-.f64 a z)))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(/.f64 (*.f64 y t) (-.f64 a z))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(/.f64 (*.f64 y t) (-.f64 a z))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(/.f64 (*.f64 y t) a)
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) z) (/.f64 (*.f64 y t) a))
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) z) (+.f64 (/.f64 (.f64 y t) a) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t a)) (.f64 -1 (/.f64 (*.f64 y t) (pow.f64 a 2)))) (pow.f64 z 2)) a)))
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) z) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) (pow.f64 z 3)) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 y t) a) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t a)) (.f64 -1 (/.f64 (*.f64 y t) (pow.f64 a 2)))) (pow.f64 z 2)) a))))
t
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) t) (.f64 -1 (/.f64 (.f64 a t) z)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) (+.f64 t (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 y t)) (.f64 -1 (.f64 a t))) a) (pow.f64 z 2)))) (.f64 -1 (/.f64 (*.f64 a t) z)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 y t)) (.f64 -1 (.f64 a t))) (pow.f64 a 2)) (pow.f64 z 3)) (+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) (+.f64 t (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 y t)) (.f64 -1 (.f64 a t))) a) (pow.f64 z 2))))) (.f64 -1 (/.f64 (.f64 a t) z)))
t
(+.f64 t (.f64 -1 (/.f64 (-.f64 (.f64 y t) (*.f64 a t)) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 y t) (.f64 a t))) (pow.f64 z 2))) (+.f64 t (.f64 -1 (/.f64 (-.f64 (.f64 y t) (*.f64 a t)) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 y t) (.f64 a t))) (pow.f64 z 2))) (+.f64 t (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y t) (.f64 a t)) z)) (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 y t) (*.f64 a t))) (pow.f64 z 3))))))
(.f64 -1 (/.f64 (.f64 t (-.f64 y z)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 t (-.f64 y z))) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 t (-.f64 y z)) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 t (-.f64 y z))) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (.f64 t (-.f64 y z))) (pow.f64 z 3))) (.f64 -1 (/.f64 (.f64 t (-.f64 y z)) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 3) (.f64 t (-.f64 y z))) (pow.f64 z 4))) (+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 t (-.f64 y z))) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (.f64 t (-.f64 y z))) (pow.f64 z 3))) (.f64 -1 (/.f64 (*.f64 t (-.f64 y z)) z)))))
(/.f64 (*.f64 t (-.f64 y z)) a)
(+.f64 (/.f64 (.f64 t (-.f64 y z)) a) (/.f64 (.f64 t (*.f64 (-.f64 y z) z)) (pow.f64 a 2)))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) a) (+.f64 (/.f64 (.f64 t (.f64 (-.f64 y z) z)) (pow.f64 a 2)) (/.f64 (.f64 t (*.f64 (-.f64 y z) (pow.f64 z 2))) (pow.f64 a 3))))
(+.f64 (/.f64 (.f64 t (.f64 (-.f64 y z) (pow.f64 z 3))) (pow.f64 a 4)) (+.f64 (/.f64 (.f64 t (-.f64 y z)) a) (+.f64 (/.f64 (.f64 t (.f64 (-.f64 y z) z)) (pow.f64 a 2)) (/.f64 (.f64 t (*.f64 (-.f64 y z) (pow.f64 z 2))) (pow.f64 a 3)))))
(/.f64 (*.f64 t (-.f64 y z)) a)
(+.f64 (/.f64 (.f64 t (-.f64 y z)) a) (/.f64 (.f64 t (*.f64 (-.f64 y z) z)) (pow.f64 a 2)))
(+.f64 (/.f64 (.f64 t (-.f64 y z)) a) (+.f64 (/.f64 (.f64 t (.f64 (-.f64 y z) z)) (pow.f64 a 2)) (/.f64 (.f64 t (*.f64 (-.f64 y z) (pow.f64 z 2))) (pow.f64 a 3))))
(+.f64 (/.f64 (.f64 t (.f64 (-.f64 y z) (pow.f64 z 3))) (pow.f64 a 4)) (+.f64 (/.f64 (.f64 t (-.f64 y z)) a) (+.f64 (/.f64 (.f64 t (.f64 (-.f64 y z) z)) (pow.f64 a 2)) (/.f64 (.f64 t (*.f64 (-.f64 y z) (pow.f64 z 2))) (pow.f64 a 3)))))
(.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 (.f64 t z) (-.f64 a z)))
(/.f64 (neg.f64 (*.f64 t z)) (-.f64 a z))
(/.f64 (*.f64 t (neg.f64 z)) (-.f64 a z))
(/.f64 t (/.f64 (-.f64 a z) (neg.f64 z)))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (neg.f64 (*.f64 t z)) (-.f64 a z)) (/.f64 y (/.f64 (-.f64 a z) t)))
(-.f64 (.f64 (/.f64 y (-.f64 a z)) t) (.f64 (/.f64 t (-.f64 a z)) z))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (neg.f64 (*.f64 t z)) (-.f64 a z)) (/.f64 y (/.f64 (-.f64 a z) t)))
(-.f64 (.f64 (/.f64 y (-.f64 a z)) t) (.f64 (/.f64 t (-.f64 a z)) z))
(+.f64 (/.f64 (.f64 y t) (-.f64 a z)) (.f64 -1 (/.f64 (*.f64 t z) (-.f64 a z))))
(+.f64 (/.f64 (neg.f64 (*.f64 t z)) (-.f64 a z)) (/.f64 y (/.f64 (-.f64 a z) t)))
(-.f64 (.f64 (/.f64 y (-.f64 a z)) t) (.f64 (/.f64 t (-.f64 a z)) z))
(/.f64 (*.f64 y t) (-.f64 a z))
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(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y t))
(fma.f64 -1 (.f64 t z) (.f64 t y))
(*.f64 t (-.f64 y z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y t))
(fma.f64 -1 (.f64 t z) (.f64 t y))
(*.f64 t (-.f64 y z))
(.f64 -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 y t))
(fma.f64 -1 (.f64 t z) (.f64 t y))
(*.f64 t (-.f64 y z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y t))
(fma.f64 -1 (.f64 t z) (.f64 t y))
(*.f64 t (-.f64 y z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y t))
(fma.f64 -1 (.f64 t z) (.f64 t y))
(*.f64 t (-.f64 y z))

eval344.0ms (1.1%)

Compiler: Compiled 20854 to 6234 computations (70.1% saved)

prune204.0ms (0.7%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	951	12	963
Fresh	3	15	18
Picked	1	0	1
Done	4	2	6
Total	959	29	988

Error

Counts

988 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	56.8b	(/.f64 (*.f64 y t) a)
	52.8b	(/.f64 y (/.f64 z (-.f64 x t)))
	46.4b	(-.f64 x (/.f64 (*.f64 (-.f64 t x) z) a))
	44.5b	(-.f64 t (/.f64 (.f64 (-.f64 t x) (.f64 (+.f64 y a) (-.f64 y a))) (*.f64 z (+.f64 y a))))
	44.6b	(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
	33.6b	(+.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 (-.f64 t x) (-.f64 (.f64 a a) (.f64 z z))) (+.f64 z a))))
✓	37.1b	(+.f64 x (*.f64 (/.f64 (-.f64 t x) a) y))
	50.8b	(*.f64 (/.f64 t a) (-.f64 y z))
	40.2b	(/.f64 t (/.f64 (-.f64 a z) (neg.f64 z)))
▶	32.9b	(-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a))))
	53.7b	(/.f64 (*.f64 t (-.f64 y z)) a)
	48.0b	x
	44.7b	t
▶	35.9b	(-.f64 t (*.f64 (/.f64 y z) (-.f64 t x)))
	40.4b	(+.f64 x (*.f64 (/.f64 y a) t))
	59.0b	(*.f64 y (/.f64 (neg.f64 t) z))
▶	53.4b	(*.f64 (/.f64 x z) (-.f64 y a))
▶	53.9b	(/.f64 (*.f64 (-.f64 y a) x) z)
▶	55.6b	(*.f64 y (/.f64 x z))
	35.8b	(-.f64 t (*.f64 x (/.f64 (-.f64 a y) z)))
	56.2b	(/.f64 (*.f64 y x) z)
	42.4b	(-.f64 t (*.f64 a (/.f64 (-.f64 x t) z)))
	44.4b	(*.f64 (/.f64 t z) (neg.f64 (-.f64 y z)))
	44.4b	(-.f64 x (*.f64 y (/.f64 x a)))
	37.9b	(-.f64 t (/.f64 (*.f64 y (-.f64 t x)) z))
	54.9b	(*.f64 (/.f64 t a) y)
	53.2b	(*.f64 (/.f64 y z) (-.f64 x t))
✓	37.2b	(+.f64 x (/.f64 (-.f64 t x) (/.f64 a y)))
	44.7b	(+.f64 x (/.f64 x (/.f64 a (neg.f64 y))))

Compiler

Compiled 712 to 466 computations (34.6% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a))))
✓	0.0b	(/.f64 z (-.f64 y a))
✓	6.2b	(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series16.0ms (0.1%)

Counts

3 → 144

Calls

39 calls:

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

rewrite103.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log-prod_binary64`
554×	`fma-def_binary64`
268×	`fma-neg_binary64`
262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	265	36
2	4441	36

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

Inputs
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(/.f64 z (-.f64 y a))
(-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (/.f64 (-.f64 y a) z)) (neg.f64 (*.f64 x (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 (-.f64 t x) z)) (*.f64 (neg.f64 a) (/.f64 (-.f64 t x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 t x) z) y) (*.f64 (/.f64 (-.f64 t x) z) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 t x)) (/.f64 (-.f64 y a) z))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 t x)) (/.f64 (-.f64 y a) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 t x)) (/.f64 (-.f64 y a) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 t x)) (/.f64 (-.f64 y a) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 t x)) (/.f64 (-.f64 y a) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 t (/.f64 (-.f64 y a) z)) (*.f64 x (/.f64 (-.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y a) (/.f64 (-.f64 t x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))) 2) (cbrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (*.f64 (cbrt.f64 (-.f64 t x)) (/.f64 (-.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))) (sqrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 t x)) (*.f64 (sqrt.f64 (-.f64 t x)) (/.f64 (-.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 t x)) (/.f64 1 (/.f64 (neg.f64 z) (-.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y a) z) (-.f64 t x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 t x) z) (-.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 t x)) (/.f64 z (-.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 t x)) 1) (/.f64 (sqrt.f64 (-.f64 t x)) (/.f64 z (-.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 t x)) z) (/.f64 (sqrt.f64 (-.f64 t x)) (/.f64 1 (-.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (-.f64 t x) (/.f64 1 (-.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 z (-.f64 y a)) 2))) (/.f64 (-.f64 t x) (cbrt.f64 (/.f64 z (-.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z (-.f64 y a)))) (/.f64 (-.f64 t x) (sqrt.f64 (/.f64 z (-.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) z) (/.f64 (cbrt.f64 (-.f64 t x)) (/.f64 1 (-.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (cbrt.f64 (pow.f64 (/.f64 z (-.f64 y a)) 2))) (cbrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 t x)) (cbrt.f64 (pow.f64 (/.f64 z (-.f64 y a)) 2))) (/.f64 (sqrt.f64 (-.f64 t x)) (cbrt.f64 (/.f64 z (-.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 t x)) 2) (sqrt.f64 (/.f64 z (-.f64 y a)))) (/.f64 (cbrt.f64 (-.f64 t x)) (sqrt.f64 (/.f64 z (-.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 t x) 1) (/.f64 (-.f64 y a) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 t x) (neg.f64 z)) (neg.f64 (-.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 t x) z) 1) (-.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 t x) z) (pow.f64 (cbrt.f64 (-.f64 y a)) 2)) (cbrt.f64 (-.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 t x) z) (sqrt.f64 (-.f64 y a))) (sqrt.f64 (-.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (-.f64 t x) (-.f64 y a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 t x) (/.f64 (neg.f64 z) (-.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 t x)) (/.f64 (-.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (/.f64 (-.f64 y a) z) (neg.f64 (*.f64 x (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 (-.f64 t x) z) (*.f64 (neg.f64 a) (/.f64 (-.f64 t x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t (/.f64 (-.f64 y a) z)) (neg.f64 (*.f64 x (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 t x) z) y (*.f64 (/.f64 (-.f64 t x) z) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 t (/.f64 (-.f64 y a) z))) (cbrt.f64 (*.f64 t (/.f64 (-.f64 y a) z)))) (cbrt.f64 (*.f64 t (/.f64 (-.f64 y a) z))) (neg.f64 (*.f64 x (/.f64 (-.f64 y a) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t (/.f64 (-.f64 y a) z))) (sqrt.f64 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simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

395×	`associate-/r/_binary64`
365×	`associate-/l/_binary64`
266×	`times-frac_binary64`
258×	`fma-def_binary64`
245×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	3289
1	296	3131
2	890	2140
3	3733	2090

Stop Event

1×	node limit

Counts

363 → 278

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (*.f64 t (-.f64 (/.f64 y z) (/.f64 a z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (*.f64 t (-.f64 (/.f64 y z) (/.f64 a z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (*.f64 t (-.f64 (/.f64 y z) (/.f64 a z))))
(/.f64 (*.f64 t (-.f64 y a)) z)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(/.f64 (*.f64 t (-.f64 y a)) z)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(/.f64 (*.f64 t (-.f64 y a)) z)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(/.f64 (*.f64 (-.f64 y a) (-.f64 t x)) z)
(.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (*.f64 y (-.f64 (/.f64 t z) (/.f64 x z))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (*.f64 y (-.f64 (/.f64 t z) (/.f64 x z))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (*.f64 y (-.f64 (/.f64 t z) (/.f64 x z))))
(/.f64 (*.f64 y (-.f64 t x)) z)
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(/.f64 (*.f64 y (-.f64 t x)) z)
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(/.f64 (*.f64 y (-.f64 t x)) z)
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (*.f64 y (-.f64 t x)) z))
(*.f64 -1 (/.f64 z a))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (*.f64 -1 (/.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 z a)) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 a 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 z a)) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 a 3))))))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 (*.f64 a z) (pow.f64 y 2)))
(+.f64 (/.f64 z y) (+.f64 (/.f64 (.f64 (pow.f64 a 2) z) (pow.f64 y 3)) (/.f64 (.f64 a z) (pow.f64 y 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a 3) z) (pow.f64 y 4)) (+.f64 (/.f64 z y) (+.f64 (/.f64 (.f64 (pow.f64 a 2) z) (pow.f64 y 3)) (/.f64 (*.f64 a z) (pow.f64 y 2)))))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 (*.f64 a z) (pow.f64 y 2)))
(+.f64 (/.f64 z y) (+.f64 (/.f64 (.f64 (pow.f64 a 2) z) (pow.f64 y 3)) (/.f64 (.f64 a z) (pow.f64 y 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a 3) z) (pow.f64 y 4)) (+.f64 (/.f64 z y) (+.f64 (/.f64 (.f64 (pow.f64 a 2) z) (pow.f64 y 3)) (/.f64 (*.f64 a z) (pow.f64 y 2)))))
(/.f64 z y)
(+.f64 (/.f64 z y) (/.f64 (*.f64 a z) (pow.f64 y 2)))
(+.f64 (/.f64 z y) (+.f64 (/.f64 (.f64 (pow.f64 a 2) z) (pow.f64 y 3)) (/.f64 (.f64 a z) (pow.f64 y 2))))
(+.f64 (/.f64 (.f64 (pow.f64 a 3) z) (pow.f64 y 4)) (+.f64 (/.f64 z y) (+.f64 (/.f64 (.f64 (pow.f64 a 2) z) (pow.f64 y 3)) (/.f64 (*.f64 a z) (pow.f64 y 2)))))
(*.f64 -1 (/.f64 z a))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (*.f64 -1 (/.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 z a)) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 a 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 z a)) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 a 3))))))
(*.f64 -1 (/.f64 z a))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (*.f64 -1 (/.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 z a)) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 a 3)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 (.f64 y z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 z a)) (.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) z) (pow.f64 a 3))))))
(/.f64 (*.f64 (-.f64 y a) x) z)
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 t (-.f64 (+.f64 (/.f64 a z) 1) (/.f64 y z))))
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 t (-.f64 (+.f64 (/.f64 a z) 1) (/.f64 y z))))
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 t (-.f64 (+.f64 (/.f64 a z) 1) (/.f64 y z))))
(*.f64 t (-.f64 (+.f64 (/.f64 a z) 1) (/.f64 y z)))
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 t (-.f64 (+.f64 (/.f64 a z) 1) (/.f64 y z))))
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 t (-.f64 (+.f64 (/.f64 a z) 1) (/.f64 y z))))
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 t (-.f64 (+.f64 (/.f64 a z) 1) (/.f64 y z))))
(.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 y a) z))) t)
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 y a) z))) t))
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 y a) z))) t))
(+.f64 (/.f64 (.f64 (-.f64 y a) x) z) (.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 y a) z))) t))
(-.f64 t (/.f64 (*.f64 t (-.f64 y a)) z))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y a) x) z) t) (/.f64 (.f64 t (-.f64 y a)) z))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y a) x) z) t) (/.f64 (.f64 t (-.f64 y a)) z))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y a) x) z) t) (/.f64 (.f64 t (-.f64 y a)) z))
(/.f64 (*.f64 (-.f64 y a) x) z)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y a) x) z) t) (/.f64 (.f64 t (-.f64 y a)) z))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y a) x) z) t) (/.f64 (.f64 t (-.f64 y a)) z))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 y a) x) z) t) (/.f64 (.f64 t (-.f64 y a)) z))
(.f64 -1 (.f64 (-.f64 (/.f64 a z) (/.f64 y z)) x))
(-.f64 (+.f64 t (.f64 -1 (.f64 (-.f64 (/.f64 a z) (/.f64 y z)) x))) (/.f64 (*.f64 t (-.f64 y a)) z))
(-.f64 (+.f64 t (.f64 -1 (.f64 (-.f64 (/.f64 a z) (/.f64 y z)) x))) (/.f64 (*.f64 t (-.f64 y a)) z))
(-.f64 (+.f64 t (.f64 -1 (.f64 (-.f64 (/.f64 a z) (/.f64 y z)) x))) (/.f64 (*.f64 t (-.f64 y a)) z))
(.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z))
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
(+.f64 t (.f64 -1 (/.f64 (.f64 (-.f64 y a) (-.f64 t x)) z)))
(-.f64 t (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)))
(-.f64 (+.f64 (.f64 y (-.f64 (/.f64 x z) (/.f64 t z))) t) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) z)))
(-.f64 (+.f64 (.f64 y (-.f64 (/.f64 x z) (/.f64 t z))) t) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) z)))
(-.f64 (+.f64 (.f64 y (-.f64 (/.f64 x z) (/.f64 t z))) t) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) z)))
(*.f64 y (-.f64 (/.f64 x z) (/.f64 t z)))
(-.f64 (+.f64 (.f64 y (-.f64 (/.f64 x z) (/.f64 t z))) t) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) z)))
(-.f64 (+.f64 (.f64 y (-.f64 (/.f64 x z) (/.f64 t z))) t) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) z)))
(-.f64 (+.f64 (.f64 y (-.f64 (/.f64 x z) (/.f64 t z))) t) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) z)))
(.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z))
(-.f64 (+.f64 t (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z))) (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)))
(-.f64 (+.f64 t (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z))) (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)))
(-.f64 (+.f64 t (.f64 -1 (/.f64 (.f64 y (-.f64 t x)) z))) (.f64 -1 (/.f64 (.f64 a (-.f64 t x)) z)))
(-.f64 t (/.f64 (*.f64 y (-.f64 t x)) z))
(-.f64 (+.f64 t (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (.f64 y (-.f64 t x)) z))
(-.f64 (+.f64 t (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (.f64 y (-.f64 t x)) z))
(-.f64 (+.f64 t (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (.f64 y (-.f64 t x)) z))
(/.f64 (*.f64 a (-.f64 t x)) z)
(-.f64 (+.f64 t (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (.f64 y (-.f64 t x)) z))
(-.f64 (+.f64 t (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (.f64 y (-.f64 t x)) z))
(-.f64 (+.f64 t (/.f64 (.f64 a (-.f64 t x)) z)) (/.f64 (.f64 y (-.f64 t x)) z))
(.f64 -1 (.f64 a (-.f64 (/.f64 x z) (/.f64 t z))))
(-.f64 (+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 x z) (/.f64 t z)))) t) (/.f64 (*.f64 y (-.f64 t x)) z))
(-.f64 (+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 x z) (/.f64 t z)))) t) (/.f64 (*.f64 y (-.f64 t x)) z))
(-.f64 (+.f64 (.f64 -1 (.f64 a (-.f64 (/.f64 x z) (/.f64 t z)))) t) (/.f64 (*.f64 y (-.f64 t x)) z))

Outputs
(.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z))
(neg.f64 (/.f64 (-.f64 y a) (/.f64 z x)))
(/.f64 (neg.f64 (-.f64 y a)) (/.f64 z x))
(*.f64 x (/.f64 (fma.f64 -1 y a) z))
(*.f64 (/.f64 x z) (-.f64 a y))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (*.f64 t (-.f64 (/.f64 y z) (/.f64 a z))))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (*.f64 t (-.f64 (/.f64 y z) (/.f64 a z))))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (*.f64 t (-.f64 (/.f64 y z) (/.f64 a z))))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(/.f64 (*.f64 t (-.f64 y a)) z)
(/.f64 t (/.f64 z (-.f64 y a)))
(*.f64 t (/.f64 (-.f64 y a) z))
(*.f64 (-.f64 y a) (/.f64 t z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(/.f64 (*.f64 t (-.f64 y a)) z)
(/.f64 t (/.f64 z (-.f64 y a)))
(*.f64 t (/.f64 (-.f64 y a) z))
(*.f64 (-.f64 y a) (/.f64 t z))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
(*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z))
(/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 y a) x) z)) (/.f64 (*.f64 t (-.f64 y a)) z))
(fma.f64 -1 (/.f64 (-.f64 y a) (/.f64 z x)) (*.f64 t (/.f64 (-.f64 y a) z)))
(-.f64 (.f64 t (/.f64 (-.f64 y a) z)) (.f64 (/.f64 (-.f64 y a) z) x))
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(-.f64 t (*.f64 (-.f64 t x) (/.f64 (-.f64 y a) z)))
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(-.f64 (+.f64 (.f64 y (-.f64 (/.f64 x z) (/.f64 t z))) t) (.f64 -1 (/.f64 (*.f64 a (-.f64 t x)) z)))
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localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(*.f64 y (/.f64 x z))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(*.f64 (/.f64 x z) (-.f64 y a))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series9.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
377×	`prod-diff_binary64`
361×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2577	10

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) (-.f64 y a))

Outputs

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

simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def_binary64`
475×	`fma-neg_binary64`
151×	`cancel-sign-sub-inv_binary64`
102×	`distribute-rgt-in_binary64`
98×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	468
1	29	468
2	64	468
3	122	468
4	239	468
5	423	468
6	743	468
7	1159	468
8	1960	468
9	2793	468
10	2872	468
11	2902	468
12	2907	468
13	2907	468

Stop Event

1×

saturated

Counts

103 → 62

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y a) x)
✓	3.9b	(/.f64 (*.f64 (-.f64 y a) x) z)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

21 calls:

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

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
386×	`prod-diff_binary64`
379×	`exp-prod_binary64`
327×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2598	17

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 y a) x) z)
(*.f64 (-.f64 y a) x)

Outputs

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

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

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-def_binary64`
669×	`fma-neg_binary64`
192×	`cancel-sign-sub-inv_binary64`
109×	`div-sub_binary64`
105×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	582
1	29	528
2	69	438
3	131	384
4	230	384
5	399	384
6	694	384
7	1226	384
8	2038	384
9	3308	384
10	3448	384
11	3478	384
12	3483	384
13	3483	384

Stop Event

1×

saturated

Counts

138 → 102

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.2b	(*.f64 (/.f64 y z) (-.f64 t x))

Compiler

Compiled 31 to 9 computations (71% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite69.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
377×	`prod-diff_binary64`
361×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2577	10

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
579×	`fma-neg_binary64`
155×	`cancel-sign-sub-inv_binary64`
106×	`distribute-rgt-in_binary64`
93×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	468
1	32	468
2	64	468
3	126	468
4	243	468
5	429	468
6	723	468
7	1186	468
8	2019	468
9	3040	468
10	3119	468
11	3149	468
12	3154	468
13	3154	468

Stop Event

1×

saturated

Counts

103 → 61

Calls

Call 1

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

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

eval147.0ms (0.5%)

Compiler: Compiled 9357 to 2136 computations (77.2% saved)

prune169.0ms (0.6%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	513	13	526
Fresh	6	16	22
Picked	1	0	1
Done	3	3	6
Total	523	32	555

Error

Counts

555 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	56.8b	(/.f64 (*.f64 y t) a)
	52.8b	(/.f64 y (/.f64 z (-.f64 x t)))
	46.4b	(-.f64 x (/.f64 (*.f64 (-.f64 t x) z) a))
	56.2b	(/.f64 (*.f64 y x) z)
	38.6b	(-.f64 t (*.f64 (neg.f64 x) (/.f64 y z)))
	42.3b	(-.f64 t (*.f64 (/.f64 a z) (-.f64 x t)))
	33.6b	(+.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 (-.f64 t x) (-.f64 (.f64 a a) (.f64 z z))) (+.f64 z a))))
✓	37.1b	(+.f64 x (*.f64 (/.f64 (-.f64 t x) a) y))
	50.8b	(*.f64 (/.f64 t a) (-.f64 y z))
	40.2b	(/.f64 t (/.f64 (-.f64 a z) (neg.f64 z)))
	55.7b	(*.f64 x (/.f64 y z))
	60.0b	(*.f64 a (neg.f64 (/.f64 x z)))
	53.7b	(/.f64 (*.f64 t (-.f64 y z)) a)
	40.4b	(+.f64 x (*.f64 (/.f64 y a) t))
	59.0b	(*.f64 y (/.f64 (neg.f64 t) z))
	60.0b	(/.f64 (*.f64 x (neg.f64 a)) z)
✓	37.2b	(+.f64 x (/.f64 (-.f64 t x) (/.f64 a y)))
	44.4b	(-.f64 x (*.f64 y (/.f64 x a)))
	44.7b	t
	55.7b	(/.f64 y (/.f64 z x))
	35.7b	(-.f64 t (*.f64 (/.f64 x z) (-.f64 a y)))
	44.4b	(*.f64 (/.f64 t z) (neg.f64 (-.f64 y z)))
	53.9b	(.f64 (/.f64 1 z) (.f64 (-.f64 y a) x))
	44.7b	(+.f64 x (/.f64 x (/.f64 a (neg.f64 y))))
	41.8b	(-.f64 t (*.f64 y (/.f64 t z)))
	42.5b	(-.f64 t (/.f64 (-.f64 t x) (/.f64 (neg.f64 z) a)))
	54.9b	(*.f64 (/.f64 t a) y)
	53.2b	(*.f64 (/.f64 y z) (-.f64 x t))
	44.6b	(/.f64 (*.f64 y (-.f64 t x)) (-.f64 a z))
	48.0b	x
✓	55.6b	(*.f64 y (/.f64 x z))
	53.5b	(/.f64 x (/.f64 z (-.f64 y a)))

Compiler

Compiled 392 to 265 computations (32.4% saved)

regimes784.0ms (2.6%)

Counts

63 → 3

Calls

Call 1

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

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

Calls

6 calls:

233.0ms	t
151.0ms	z
119.0ms	x
105.0ms	a
97.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Results

Error	Segments	Branch
10.8b	2	`x`
11.8b	1	`y`
6.1b	3	`z`
9.3b	5	`t`
7.4b	3	`a`
3.0b	3	`(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))`

Compiler

Compiled 590 to 205 computations (65.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.5139467036933823e-290
0.0ms	-2.4106121794653312e-293	0.0

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes943.0ms (3.1%)

Counts

60 → 3

Calls

Call 1

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

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

Calls

6 calls:

357.0ms	t
194.0ms	a
138.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
134.0ms	z
62.0ms	x

Results

Error	Segments	Branch
12.4b	1	`x`
12.4b	1	`y`
6.1b	3	`z`
9.9b	5	`t`
8.2b	3	`a`
4.6b	3	`(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))`

Compiler

Compiled 537 to 186 computations (65.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.5139467036933823e-290
0.0ms	-6.259451042019798e-234	-1.9540348933434198e-238

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes1.7s (5.5%)

Counts

54 → 5

Calls

Call 1

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

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

Calls

5 calls:

497.0ms	t
399.0ms	a
311.0ms	x
305.0ms	y
144.0ms	z

Results

Error	Segments	Branch
19.3b	10	`x`
18.5b	9	`y`
12.7b	5	`z`
14.8b	9	`t`
15.7b	6	`a`

Compiler

Compiled 417 to 143 computations (65.7% saved)

bsearch100.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	2.7993973224983626e-117	7.459966745754796e-114
24.0ms	-2.464685605591098e-9	-1.6350902775357252e-17
26.0ms	-1.9769563607490076e+79	-5.504334873421716e+78
31.0ms	-1.1572860338805904e+204	-3.0105168373251036e+198

Compiler

Compiled 58 to 39 computations (32.8% saved)

regimes1.2s (3.8%)

Counts

52 → 5

Calls

Call 1

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

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

Calls

5 calls:

299.0ms	x
265.0ms	t
253.0ms	y
182.0ms	a
144.0ms	z

Results

Error	Segments	Branch
19.3b	10	`x`
18.5b	9	`y`
12.8b	5	`z`
15.6b	9	`t`
17.2b	5	`a`

Compiler

Compiled 395 to 138 computations (65.1% saved)

bsearch122.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	2.7993973224983626e-117	7.459966745754796e-114
31.0ms	-2.464685605591098e-9	-1.6350902775357252e-17
28.0ms	-1.9769563607490076e+79	-5.504334873421716e+78
31.0ms	-1.1572860338805904e+204	-3.0105168373251036e+198

Compiler

Compiled 58 to 39 computations (32.8% saved)

regimes1.8s (5.8%)

Counts

51 → 5

Calls

Call 1

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

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

Calls

5 calls:

469.0ms	x
429.0ms	y
425.0ms	a
278.0ms	t
137.0ms	z

Results

Error	Segments	Branch
20.8b	8	`x`
21.6b	13	`y`
13.1b	5	`z`
15.4b	10	`t`
15.3b	10	`a`

Compiler

Compiled 384 to 135 computations (64.8% saved)

bsearch130.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	2.7993973224983626e-117	7.459966745754796e-114
24.0ms	-2.464685605591098e-9	-1.6350902775357252e-17
27.0ms	-1.9769563607490076e+79	-5.504334873421716e+78
31.0ms	-1.1572860338805904e+204	-3.0105168373251036e+198

Compiler

Compiled 58 to 39 computations (32.8% saved)

regimes1.0s (3.4%)

Counts

50 → 5

Calls

Call 1

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

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

Calls

5 calls:

269.0ms	t
219.0ms	a
213.0ms	y
188.0ms	x
141.0ms	z

Results

Error	Segments	Branch
22.6b	6	`x`
24.3b	7	`y`
14.8b	5	`z`
16.1b	10	`t`
17.4b	8	`a`

Compiler

Compiled 373 to 133 computations (64.3% saved)

bsearch112.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	5.609218588588508e-103	1.6017491367215912e-97
31.0ms	-2.464685605591098e-9	-1.6350902775357252e-17
30.0ms	-8.850870672210957e+53	-8.827610354153529e+49
32.0ms	-1.1572860338805904e+204	-3.0105168373251036e+198

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes1.0s (3.3%)

Counts

45 → 3

Calls

Call 1

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

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

Calls

5 calls:

342.0ms	y
261.0ms	t
156.0ms	x
152.0ms	a
80.0ms	z

Results

Error	Segments	Branch
26.0b	4	`x`
25.5b	13	`y`
16.5b	3	`z`
20.1b	10	`t`
19.3b	5	`a`

Compiler

Compiled 327 to 123 computations (62.4% saved)

bsearch56.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	5.609218588588508e-103	1.6017491367215912e-97
36.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes1.2s (4%)

Counts

43 → 5

Calls

Call 1

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

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

Calls

5 calls:

577.0ms	y
229.0ms	x
168.0ms	t
119.0ms	a
105.0ms	z

Results

Error	Segments	Branch
28.0b	6	`x`
25.7b	13	`y`
15.8b	5	`z`
21.4b	8	`t`
19.3b	5	`a`

Compiler

Compiled 309 to 119 computations (61.5% saved)

bsearch101.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	5.097136767534751e+57	1.3862001270471533e+60
26.0ms	3202901.88105065	199264674.44087616
20.0ms	2.6222347431590904e-107	5.609218588588508e-103
26.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes1.0s (3.3%)

Counts

42 → 3

Calls

Call 1

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

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

Calls

5 calls:

395.0ms	t
246.0ms	y
165.0ms	a
95.0ms	z
89.0ms	x

Results

Error	Segments	Branch
29.0b	4	`x`
26.7b	10	`y`
16.9b	3	`z`
20.2b	10	`t`
19.3b	5	`a`

Compiler

Compiled 300 to 116 computations (61.3% saved)

bsearch49.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	2.6222347431590904e-107	5.609218588588508e-103
27.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes741.0ms (2.4%)

Counts

41 → 3

Calls

Call 1

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

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

Calls

5 calls:

207.0ms	y
202.0ms	t
141.0ms	a
96.0ms	x
84.0ms	z

Results

Error	Segments	Branch
28.3b	5	`x`
26.7b	10	`y`
17.3b	3	`z`
20.4b	10	`t`
19.3b	5	`a`

Compiler

Compiled 291 to 113 computations (61.2% saved)

bsearch43.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.6222347431590904e-107	5.609218588588508e-103
24.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes633.0ms (2.1%)

Counts

40 → 3

Calls

Call 1

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

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

Calls

5 calls:

178.0ms	y
121.0ms	t
120.0ms	x
115.0ms	a
89.0ms	z

Results

Error	Segments	Branch
29.0b	6	`x`
28.5b	9	`y`
20.3b	3	`z`
23.8b	6	`t`
20.7b	6	`a`

Compiler

Compiled 282 to 110 computations (61% saved)

bsearch180.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
152.0ms	2.6222347431590904e-107	5.609218588588508e-103
28.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 250 to 170 computations (32% saved)

regimes747.0ms (2.5%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

5 calls:

203.0ms	a
181.0ms	t
134.0ms	y
110.0ms	z
109.0ms	x

Results

Error	Segments	Branch
29.0b	6	`x`
30.8b	6	`y`
19.8b	5	`z`
24.3b	6	`t`
21.3b	6	`a`

Compiler

Compiled 264 to 106 computations (59.8% saved)

bsearch277.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
193.0ms	2.6222347431590904e-107	5.609218588588508e-103
25.0ms	-2.464685605591098e-9	-1.6350902775357252e-17
27.0ms	-1.9769563607490076e+79	-5.504334873421716e+78
31.0ms	-1.1572860338805904e+204	-3.0105168373251036e+198

Compiler

Compiled 250 to 170 computations (32% saved)

regimes1.0s (3.4%)

Counts

35 → 9

Calls

Call 1

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

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

Calls

5 calls:

292.0ms	t
273.0ms	z
229.0ms	y
122.0ms	x
102.0ms	a

Results

Error	Segments	Branch
30.3b	5	`x`
29.7b	10	`y`
20.2b	9	`z`
24.8b	8	`t`
23.1b	5	`a`

Compiler

Compiled 237 to 97 computations (59.1% saved)

bsearch372.0ms (1.2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
31.0ms	1.301370831752978e+165	1.3629237625737784e+172
30.0ms	2.8144138130423207e+150	9.394667293821731e+162
44.0ms	6.112321781543354e+104	4.3971361231775587e+105
28.0ms	9.54368543782231e+97	1.778074702029574e+100
27.0ms	3.067111666255744e+72	1.2075215800084104e+79
25.0ms	1.922413527563469e-22	3.5092799341213153e-22
159.0ms	2.6222347431590904e-107	5.609218588588508e-103
27.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 234 to 162 computations (30.8% saved)

regimes833.0ms (2.7%)

Counts

34 → 8

Calls

Call 1

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

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

Calls

5 calls:

215.0ms	y
195.0ms	z
169.0ms	a
164.0ms	t
82.0ms	x

Results

Error	Segments	Branch
30.3b	5	`x`
29.7b	10	`y`
20.7b	8	`z`
24.8b	8	`t`
23.1b	5	`a`

Compiler

Compiled 228 to 94 computations (58.8% saved)

bsearch346.0ms (1.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
30.0ms	2.8144138130423207e+150	9.394667293821731e+162
29.0ms	6.112321781543354e+104	4.3971361231775587e+105
28.0ms	9.54368543782231e+97	1.778074702029574e+100
28.0ms	3.067111666255744e+72	1.2075215800084104e+79
26.0ms	1.922413527563469e-22	3.5092799341213153e-22
178.0ms	2.6222347431590904e-107	5.609218588588508e-103
26.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 234 to 162 computations (30.8% saved)

regimes566.0ms (1.9%)

Counts

30 → 8

Calls

Call 1

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

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

Calls

5 calls:

185.0ms	t
123.0ms	z
106.0ms	y
71.0ms	x
70.0ms	a

Results

Error	Segments	Branch
32.4b	5	`x`
34.5b	7	`y`
23.1b	8	`z`
26.7b	10	`t`
26.7b	3	`a`

Compiler

Compiled 196 to 81 computations (58.7% saved)

bsearch322.0ms (1.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
32.0ms	2.8144138130423207e+150	9.394667293821731e+162
34.0ms	6.112321781543354e+104	4.3971361231775587e+105
27.0ms	9.54368543782231e+97	1.778074702029574e+100
27.0ms	3.067111666255744e+72	1.2075215800084104e+79
26.0ms	1.922413527563469e-22	3.5092799341213153e-22
150.0ms	2.6222347431590904e-107	5.609218588588508e-103
25.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 234 to 162 computations (30.8% saved)

regimes514.0ms (1.7%)

Counts

27 → 8

Calls

Call 1

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

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

Calls

5 calls:

122.0ms	t
115.0ms	z
105.0ms	a
96.0ms	y
69.0ms	x

Results

Error	Segments	Branch
33.6b	5	`x`
34.5b	7	`y`
23.1b	8	`z`
29.5b	6	`t`
26.7b	3	`a`

Compiler

Compiled 175 to 75 computations (57.1% saved)

bsearch329.0ms (1.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
32.0ms	2.8144138130423207e+150	9.394667293821731e+162
29.0ms	6.112321781543354e+104	4.3971361231775587e+105
31.0ms	1.778074702029574e+100	3.407395521262313e+104
29.0ms	3.067111666255744e+72	1.2075215800084104e+79
26.0ms	1.922413527563469e-22	3.5092799341213153e-22
156.0ms	2.6222347431590904e-107	5.609218588588508e-103
26.0ms	-2.464685605591098e-9	-1.6350902775357252e-17

Compiler

Compiled 234 to 162 computations (30.8% saved)

regimes350.0ms (1.2%)

Counts

21 → 8

Calls

Call 1

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

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

Calls

5 calls:

88.0ms	a
79.0ms	t
69.0ms	z
60.0ms	x
50.0ms	y

Results

Error	Segments	Branch
34.7b	5	`x`
38.0b	4	`y`
30.9b	5	`z`
32.8b	6	`t`
29.4b	8	`a`

Compiler

Compiled 133 to 65 computations (51.1% saved)

bsearch414.0ms (1.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
25.0ms	1.0337248611707329e+249	1.6648754577992515e+251
30.0ms	5.517497591382997e+91	1.299831988038743e+102
30.0ms	3.6302738915696925e+67	5.027674818529647e+69
203.0ms	2.8700589881906206e-27	4.681102504899747e-26
51.0ms	-1.7329719587879198e+39	-1.6178376240974805e+36
45.0ms	-4.0196617850079683e+152	-1.5151567695962445e+147
29.0ms	-2.117313148752723e+222	-9.33489141446669e+217

Compiler

Compiled 166 to 123 computations (25.9% saved)

regimes311.0ms (1%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

5 calls:

98.0ms	t
60.0ms	z
59.0ms	a
49.0ms	x
40.0ms	y

Results

Error	Segments	Branch
35.6b	5	`x`
38.0b	4	`y`
30.9b	5	`z`
32.8b	6	`t`
31.9b	6	`a`

Compiler

Compiled 119 to 61 computations (48.7% saved)

bsearch232.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	1.2075215800084104e+79	3.4674387146147636e+80
26.0ms	1.922413527563469e-22	3.5092799341213153e-22
153.0ms	2.6222347431590904e-107	5.609218588588508e-103
25.0ms	-1.6350902775357252e-17	-6.018350377078143e-27

Compiler

Compiled 186 to 138 computations (25.8% saved)

regimes261.0ms (0.9%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

5 calls:

73.0ms	t
57.0ms	a
46.0ms	x
44.0ms	z
36.0ms	y

Results

Error	Segments	Branch
35.6b	5	`x`
39.0b	4	`y`
31.0b	5	`z`
33.2b	8	`t`
31.9b	6	`a`

Compiler

Compiled 105 to 55 computations (47.6% saved)

bsearch303.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	1.2075215800084104e+79	3.4674387146147636e+80
25.0ms	1.3369895863731887e-15	3202901.88105065
223.0ms	2.6222347431590904e-107	5.609218588588508e-103
26.0ms	-1.6350902775357252e-17	-6.018350377078143e-27

Compiler

Compiled 186 to 138 computations (25.8% saved)

regimes237.0ms (0.8%)

Accuracy

Total -28.8b remaining (-83.1%)

Threshold costs -28.8b (-83.1%)

Counts

16 → 3

Calls

Call 1

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

Outputs
t
x
t

Calls

5 calls:

62.0ms	t
54.0ms	a
45.0ms	y
44.0ms	x
28.0ms	z

Results

Error	Segments	Branch
37.7b	5	`x`
39.6b	5	`y`
34.6b	3	`z`
35.7b	7	`t`
34.7b	6	`a`

Compiler

Compiled 98 to 52 computations (46.9% saved)

bsearch52.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.2075215800084104e+79	3.4674387146147636e+80
25.0ms	-6.018350377078143e-27	-9.811123900588677e-32

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify144.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

231×	`distribute-rgt-neg-in_binary64`
207×	`cancel-sign-sub-inv_binary64`
184×	`neg-sub0_binary64`
184×	`neg-mul-1_binary64`
166×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	1687
1	293	1687
2	403	1687
3	531	1687
4	674	1687
5	909	1687
6	1258	1687
7	1573	1687
8	1862	1687
9	2056	1687
10	2157	1687
11	2211	1687
12	2224	1687
13	2224	1687

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 x (.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) -3595386269724632/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (fma.f64 (-.f64 t x) (/.f64 (-.f64 y z) (-.f64 a z)) x) (if (<=.f64 (+.f64 x (.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) 0) (-.f64 t (*.f64 (/.f64 x z) (-.f64 a y))) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))))
(if (<=.f64 (+.f64 x (.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) -143194519592374800/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))) (if (<=.f64 (+.f64 x (.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) 0) (-.f64 t (*.f64 (/.f64 x z) (-.f64 a y))) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))))
(if (<=.f64 z -1157286033880590449847619185611155475796172371939905796889316129766423667658502559583573838142441099276378574301618449977244660773259926581747904767875570698286473174126572790118138277356210999357033414656) (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))) (if (<=.f64 z -19769563607490076448602752499193437313714408637387086764498895292370980345741312) (-.f64 x (/.f64 z (/.f64 (-.f64 a z) (-.f64 t x)))) (if (<=.f64 z -2979622065831597/1208925819614629174706176) (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))) (if (<=.f64 z 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (+.f64 x (.f64 (/.f64 (-.f64 t x) a) y)) (-.f64 t (.f64 (/.f64 (-.f64 t x) z) (-.f64 y a)))))))
(if (<=.f64 z -1157286033880590449847619185611155475796172371939905796889316129766423667658502559583573838142441099276378574301618449977244660773259926581747904767875570698286473174126572790118138277356210999357033414656) (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))) (if (<=.f64 z -19769563607490076448602752499193437313714408637387086764498895292370980345741312) (-.f64 x (/.f64 z (/.f64 (-.f64 a z) (-.f64 t x)))) (if (<=.f64 z -2979622065831597/1208925819614629174706176) (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))) (if (<=.f64 z 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (+.f64 x (*.f64 (/.f64 (-.f64 t x) a) y)) (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a))))))))
(if (<=.f64 z -1157286033880590449847619185611155475796172371939905796889316129766423667658502559583573838142441099276378574301618449977244660773259926581747904767875570698286473174126572790118138277356210999357033414656) (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))) (if (<=.f64 z -19769563607490076448602752499193437313714408637387086764498895292370980345741312) (.f64 (/.f64 t (-.f64 a z)) (-.f64 y z)) (if (<=.f64 z -2979622065831597/1208925819614629174706176) (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a)))) (if (<=.f64 z 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (+.f64 x (.f64 (/.f64 (-.f64 t x) a) y)) (-.f64 t (/.f64 (-.f64 t x) (/.f64 z (-.f64 y a))))))))
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t

Outputs
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(if (<=.f64 z -8388356142168773/1393796574908163946345982392040522594123776) t (if (<=.f64 z 12075215800084103860987934309252963970095543851399686267286699024183289568034816) x t))
t

Compiler

Compiled 1264 to 581 computations (54% saved)

soundness266.0ms (0.9%)

Algorithm

3×	egg-herbie

Rules

930×	`fma-def_binary64`
859×	`div-sub_binary64`
858×	`associate-/l*_binary64`
520×	`unsub-neg_binary64`
510×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	24	17
2	53	17
3	165	17
4	607	17
5	2048	17
6	5463	17
0	246	5310
1	786	5001
2	2658	3626
0	103	3289
1	296	3131
2	890	2140
3	3733	2090

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 493 to 314 computations (36.3% saved)

end409.0ms (1.3%)

Compiler: Compiled 1164 to 316 computations (72.9% saved)