Details

analyze1.2s (24.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	87.3%	0.2%	11
16.8%	80.7%	2.5%	12
24.6%	72.5%	2.9%	13
29.6%	67.3%	3.1%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (25.1%)

Results

948.0ms	8256×	body	128	valid
218.0ms	1908×	body	128	invalid

Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess34.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1016×	`fma-def_binary64`
487×	`div-sub_binary64`
327×	`sub-neg_binary64`
288×	`times-frac_binary64`
246×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	112
1	66	112
2	146	112
3	373	112
4	742	112
5	1408	112
6	3058	112
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
547×	`fma-neg_binary64`
454×	`div-sub_binary64`
251×	`distribute-rgt-in_binary64`
229×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	33	16
3	68	16
4	130	16
5	233	16
6	479	16
7	1128	16
8	2572	16

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

4.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	4.7b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

Compiler

Compiled 56 to 35 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series17.0ms (0.4%)

Counts

3 → 78

Calls

27 calls:

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

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`fma-def_binary64`
234×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
209×	`fma-neg_binary64`
132×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	247	36
2	3771	36

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

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

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

396×	`cancel-sign-sub-inv_binary64`
301×	`fma-neg_binary64`
293×	`fma-def_binary64`
233×	`times-frac_binary64`
230×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	1328
1	235	1302
2	699	1241
3	2287	1195

Stop Event

1×	node limit

Counts

265 → 237

Calls

Call 1

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

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

prune170.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	229	8	237
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	8	238

Error

0.0b

Counts

238 → 8

Alt Table

Status	Error	Program
▶	4.7b	(*.f64 x (fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z)))
	33.1b	(*.f64 x (pow.f64 (sqrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 2))
	26.3b	(.f64 x (/.f64 (-.f64 (-.f64 1 z) (.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (-.f64 1 z))))
	21.4b	(*.f64 (/.f64 x z) (+.f64 y t))
	4.7b	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
	36.7b	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 3))
	29.2b	(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) 2)
	7.1b	(-.f64 (/.f64 (.f64 y x) z) (/.f64 (.f64 t x) (-.f64 1 z)))

Compiler

Compiled 5191 to 2778 computations (46.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z))
	0.0b	(/.f64 t (-.f64 1 z))
✓	4.5b	(*.f64 x (fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z)))

series10.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	t	@	-inf	(*.f64 x (fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z)))
1.0ms	x	@	0	(*.f64 x (fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z)))
1.0ms	y	@	-inf	(*.f64 x (fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z)))
1.0ms	t	@	0	(*.f64 x (fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z)))
0.0ms	x	@	inf	(*.f64 x (fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z)))

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

324×	`prod-diff_binary64`
223×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
184×	`log-pow_binary64`
129×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	247	31
2	3209	31

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

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

Outputs

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

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

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

359×	`cancel-sign-sub-inv_binary64`
333×	`associate-+l+_binary64`
301×	`sub-neg_binary64`
217×	`fma-def_binary64`
208×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1363
1	196	1349
2	556	1288
3	1756	1258
4	4807	1258

Stop Event

1×	node limit

Counts

129 → 81

Calls

Call 1

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

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

prune128.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	129	9	138

Error

0.0b

Counts

138 → 9

Alt Table

Status	Error	Program
✓	4.7b	(*.f64 x (fma.f64 -1 (/.f64 t (-.f64 1 z)) (/.f64 y z)))
	33.1b	(*.f64 x (pow.f64 (sqrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 2))
	26.3b	(.f64 x (/.f64 (-.f64 (-.f64 1 z) (.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (-.f64 1 z))))
	21.4b	(*.f64 (/.f64 x z) (+.f64 y t))
▶	4.7b	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
	36.7b	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 3))
	29.2b	(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) 2)
	7.1b	(-.f64 (/.f64 (.f64 y x) z) (/.f64 (.f64 t x) (-.f64 1 z)))
	27.9b	(*.f64 y (/.f64 x z))

Compiler

Compiled 2383 to 1247 computations (47.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 y z) (*.f64 t (/.f64 1 (-.f64 1 z))))
✓	0.0b	(/.f64 1 (-.f64 1 z))
✓	0.1b	(*.f64 t (/.f64 1 (-.f64 1 z)))
✓	4.5b	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))

series9.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(/.f64 1 (-.f64 1 z))
0.0ms	x	@	0	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
0.0ms	z	@	inf	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
0.0ms	z	@	-inf	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
0.0ms	z	@	0	(/.f64 1 (-.f64 1 z))

rewrite79.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`fma-def_binary64`
241×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`
178×	`fma-neg_binary64`
140×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	268	43
2	3843	43

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 y z) x) (.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 y z)) (.f64 x (/.f64 (neg.f64 t) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 (/.f64 t (-.f64 1 z)) 3)) x) (fma.f64 (/.f64 t (-.f64 1 z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (pow.f64 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (pow.f64 (/.f64 t (-.f64 1 z)) 2)) x) (+.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 (/.f64 t (-.f64 1 z)) 3))) (fma.f64 (/.f64 t (-.f64 1 z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (pow.f64 (/.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 (pow.f64 (/.f64 y z) 2) (pow.f64 (/.f64 t (-.f64 1 z)) 2))) (+.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 y z) (.f64 x (/.f64 (neg.f64 t) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y z) x (.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) (cbrt.f64 (pow.f64 (-.f64 1 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 1 z) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 1 z) -1/2) (pow.f64 (-.f64 1 z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (-.f64 1 z)) -1) (pow.f64 (sqrt.f64 (-.f64 1 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (.f64 z z))) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 z) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (neg.f64 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 z))) 1))))))
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simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

403×	`cancel-sign-sub-inv_binary64`
340×	`fma-neg_binary64`
327×	`fma-def_binary64`
263×	`associate-+l+_binary64`
238×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1829
1	288	1787
2	861	1725
3	2735	1677

Stop Event

1×	node limit

Counts

300 → 245

Calls

Call 1

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

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

prune199.0ms (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	1	6	7
Picked	0	1	1
Done	1	0	1
Total	246	8	254

Error

0.0b

Counts

254 → 8

Alt Table

Status	Error	Program
	26.3b	(.f64 x (/.f64 (-.f64 (-.f64 1 z) (.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (-.f64 1 z))))
	21.4b	(*.f64 (/.f64 x z) (+.f64 y t))
▶	4.7b	(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x))
✓	4.7b	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
	36.7b	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 3))
	29.2b	(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) 2)
	7.1b	(-.f64 (/.f64 (.f64 y x) z) (/.f64 (.f64 t x) (-.f64 1 z)))
	27.9b	(*.f64 y (/.f64 x z))

Compiler

Compiled 4983 to 2650 computations (46.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 t) (-.f64 1 z))
✓	2.2b	(*.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x)
✓	4.0b	(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x))

series19.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(*.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x)
1.0ms	x	@	inf	(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x))
1.0ms	x	@	0	(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x))
1.0ms	x	@	-inf	(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x))
1.0ms	y	@	0	(fma.f64 (/.f64 y z) x (*.f64 (/.f64 (neg.f64 t) (-.f64 1 z)) x))

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`prod-diff_binary64`
216×	`log1p-udef_binary64`
133×	`add-sqr-sqrt_binary64`
130×	`*-un-lft-identity_binary64`
130×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	258	33
2	3668	33

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

490×	`fma-def_binary64`
380×	`distribute-lft-out_binary64`
271×	`distribute-rgt-out_binary64`
201×	`distribute-rgt-neg-in_binary64`
198×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1814
1	250	1792
2	810	1572
3	2890	1520

Stop Event

1×	node limit

Counts

196 → 142

Calls

Call 1

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

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

prune117.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	143	7	150

Error

0.0b

Counts

150 → 7

Alt Table

Status	Error	Program
	4.7b	(fma.f64 (/.f64 y z) x (neg.f64 (/.f64 x (/.f64 (-.f64 1 z) t))))
	26.3b	(.f64 x (/.f64 (-.f64 (-.f64 1 z) (.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (-.f64 1 z))))
	21.6b	(/.f64 (+.f64 t y) (/.f64 z x))
✓	4.7b	(.f64 x (-.f64 (/.f64 y z) (.f64 t (/.f64 1 (-.f64 1 z)))))
	36.7b	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) 3))
	7.1b	(-.f64 (/.f64 (.f64 y x) z) (/.f64 (.f64 t x) (-.f64 1 z)))
	27.9b	(*.f64 y (/.f64 x z))

Compiler

Compiled 2455 to 1139 computations (53.6% saved)

regimes1.0s (21.8%)

Accuracy

Total 1.3b remaining (98.5%)

Threshold costs 0b (0%)

Counts

68 → 5

Compiler

Compiled 874 to 399 computations (54.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))

Steps

Iters	Point		Range
5e+220	∈ [	3.236238458290679e+220	,	4.4461083397862544e+226	]
2e-218	∈ [	1.8146777751252613e-218	,	2.2501362649178045e-218	]
-5e-165	∈ [	-9.943015580111812e-165	,	-4.4090185860919584e-178	]
-2e+85	∈ [	-2.3164853500936147e+85	,	-3.026241194520089e+83	]

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
14×	`*-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	170
1	56	170
2	79	170
3	107	170
4	124	170
5	129	170
6	130	170

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (-.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 t x) (-.f64 1 z))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) -5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (fma.f64 (/.f64 y z) x (neg.f64 (/.f64 x (/.f64 (-.f64 1 z) t)))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) 3974446316289815/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (-.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 t x) (-.f64 1 z))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) 50000000000000002330090358741034878420254290497468843071049022900934139066154314978638385610709785616051698829799274493265863083300344904568031104874632172029371506368365811094974360294752761916322986788578012139217747968) (fma.f64 (/.f64 y z) x (neg.f64 (/.f64 x (/.f64 (-.f64 1 z) t)))) (-.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 t x) (*.f64 t (*.f64 z x))))))))

Outputs

(if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (-.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 t x) (-.f64 1 z))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) -5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (fma.f64 (/.f64 y z) x (neg.f64 (/.f64 x (/.f64 (-.f64 1 z) t)))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) 3974446316289815/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (-.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 t x) (-.f64 1 z))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) 50000000000000002330090358741034878420254290497468843071049022900934139066154314978638385610709785616051698829799274493265863083300344904568031104874632172029371506368365811094974360294752761916322986788578012139217747968) (fma.f64 (/.f64 y z) x (neg.f64 (/.f64 x (/.f64 (-.f64 1 z) t)))) (-.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 t x) (*.f64 t (*.f64 z x))))))))

(if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (-.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 t x) (-.f64 1 z))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) -5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344) (fma.f64 (/.f64 y z) x (/.f64 (neg.f64 x) (/.f64 (-.f64 1 z) t))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) 3974446316289815/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568) (-.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 t x) (-.f64 1 z))) (if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) 50000000000000002330090358741034878420254290497468843071049022900934139066154314978638385610709785616051698829799274493265863083300344904568031104874632172029371506368365811094974360294752761916322986788578012139217747968) (fma.f64 (/.f64 y z) x (/.f64 (neg.f64 x) (/.f64 (-.f64 1 z) t))) (-.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 t x) (*.f64 t (*.f64 z x))))))))

end113.0ms (2.4%)

Stop Event

1×

fuel

Compiler

Compiled 350 to 192 computations (45.1% saved)

Details

analyze1.2s (24.3%)

sample1.2s (25.1%)

preprocess34.0ms (0.7%)

simplify26.0ms (0.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series17.0ms (0.4%)

rewrite76.0ms (1.6%)

simplify50.0ms (1.1%)

prune170.0ms (3.6%)

localize10.0ms (0.2%)

series10.0ms (0.2%)

rewrite52.0ms (1.1%)

simplify59.0ms (1.2%)

prune128.0ms (2.7%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite79.0ms (1.7%)

simplify57.0ms (1.2%)

prune199.0ms (4.2%)

localize9.0ms (0.2%)

series19.0ms (0.4%)

rewrite56.0ms (1.2%)

simplify52.0ms (1.1%)

prune117.0ms (2.5%)

regimes1.0s (21.8%)

bsearch1.0ms (0%)

simplify7.0ms (0.2%)

end113.0ms (2.4%)

Profiling