Details

analyze531.0ms (19.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
29.6%	70.2%	0.1%	9
42.1%	57.7%	0.1%	10
47.6%	52.1%	0.3%	11
53.8%	44.6%	1.6%	12
60.3%	35.4%	4.3%	13
63.3%	30.4%	6.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample972.0ms (35.7%)

Results

815.0ms	8256×	body	128	valid
143.0ms	1569×	body	128	invalid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess76.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

1004×	`fma-neg_binary64`
393×	`times-frac_binary64`
378×	`div-sub_binary64`
312×	`cancel-sign-sub-inv_binary64`
211×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	37	40
2	73	40
3	140	40
4	305	40
5	626	40
6	1569	40
7	3204	40
8	3841	40
9	4124	40
10	4286	40
11	4342	40
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify22.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

377×	`fma-neg_binary64`
309×	`fma-def_binary64`
110×	`cancel-sign-sub-inv_binary64`
77×	`distribute-rgt-in_binary64`
56×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	87	10
5	165	10
6	383	10
7	723	10
8	1208	10
9	1493	10
10	1586	10
11	1664	10
12	1668	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.3%)

Counts

2 → 64

Calls

18 calls:

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

rewrite47.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`log-prod_binary64`
362×	`fma-def_binary64`
223×	`fma-neg_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	167	17
2	2722	17

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

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

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

simplify52.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

321×	`fma-neg_binary64`
304×	`fma-def_binary64`
63×	`distribute-rgt-in_binary64`
63×	`unsub-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	586
1	54	505
2	110	496
3	232	496
4	469	496
5	937	496
6	1434	496
7	1521	496
8	1522	496

Stop Event

1×

saturated

Counts

184 → 132

Calls

Call 1

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

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

prune64.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	4	133

Error

Counts

133 → 4

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
	0.9b	(+.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z))))
	33.0b	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)

Compiler

Compiled 1897 to 603 computations (68.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.3b	(pow.f64 (/.f64 z (-.f64 y x)) -1)

series22.0ms (0.8%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(pow.f64 (/.f64 z (-.f64 y x)) -1)
3.0ms	y	@	0	(pow.f64 (/.f64 z (-.f64 y x)) -1)
2.0ms	y	@	-inf	(pow.f64 (/.f64 z (-.f64 y x)) -1)
2.0ms	x	@	0	(pow.f64 (/.f64 z (-.f64 y x)) -1)
2.0ms	x	@	inf	(pow.f64 (/.f64 z (-.f64 y x)) -1)

rewrite49.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`prod-diff_binary64`
189×	`log1p-udef_binary64`
110×	`add-sqr-sqrt_binary64`
107×	`pow1_binary64`
106×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	17
2	3025	17

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

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

Outputs

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

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

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-neg_binary64`
295×	`fma-def_binary64`
72×	`distribute-rgt-in_binary64`
69×	`cancel-sign-sub-inv_binary64`
44×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	642
1	44	561
2	84	552
3	175	552
4	335	552
5	615	552
6	953	552
7	1157	552
8	1257	552
9	1338	552
10	1428	552

Stop Event

1×

saturated

Counts

153 → 91

Calls

Call 1

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

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

prune52.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	91	4	95

Error

Counts

95 → 4

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
▶	0.9b	(+.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z))))
	33.0b	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)

Compiler

Compiled 1299 to 450 computations (65.4% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 z)
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 y x)) 2)
✓	0.6b	(cbrt.f64 (-.f64 y x))
✓	1.9b	(cbrt.f64 (/.f64 (-.f64 y x) z))

series32.0ms (1.2%)

Counts

4 → 24

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(cbrt.f64 (/.f64 (-.f64 y x) z))
4.0ms	y	@	0	(cbrt.f64 (/.f64 (-.f64 y x) z))
4.0ms	y	@	0	(cbrt.f64 (-.f64 y x))
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 y x)) 2)
2.0ms	z	@	inf	(cbrt.f64 z)

rewrite54.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`prod-diff_binary64`
212×	`fma-def_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
124×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	235	27
2	3080	27

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (-.f64 y x) z))
(cbrt.f64 (-.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 y x)) 2)
(cbrt.f64 z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (/.f64 1 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (-.f64 y x) z) 1/6) (pow.f64 (/.f64 (-.f64 y x) z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) 1) (/.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (-.f64 y x) 1/6) 1) (/.f64 (pow.f64 (-.f64 y x) 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 z z)))) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (.f64 z z)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (-.f64 y x) 1/6) (cbrt.f64 (cbrt.f64 (.f64 z z)))) (/.f64 (pow.f64 (-.f64 y x) 1/6) (cbrt.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 z 1/6)) (/.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (pow.f64 z 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (pow.f64 z 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 z (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 (cbrt.f64 (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 y x) 1/6) (/.f64 (cbrt.f64 z) (pow.f64 (-.f64 y x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (-.f64 y x))) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 y x))) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 z 1/6)) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (-.f64 y x)) 1) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (cbrt.f64 (.f64 z z)))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 y x) 1/6) (pow.f64 (-.f64 y x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (-.f64 y x)) 1/3) (pow.f64 (sqrt.f64 (-.f64 y x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 y y (.f64 x (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 (+.f64 y x) (-.f64 y x))) (cbrt.f64 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 y x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 y x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (-.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 y x) 1/6) (.f64 (pow.f64 (-.f64 y x) 1/6) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 z z))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z z)) 1/3) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))))

simplify40.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

575×	`fma-def_binary64`
382×	`cancel-sign-sub-inv_binary64`
277×	`unswap-sqr_binary64`
206×	`distribute-rgt-neg-in_binary64`
196×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1443
1	486	1437
2	1690	1407

Stop Event

1×	node limit

Counts

129 → 153

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x z) 1/3))
(+.f64 (.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x z) 1/3)) (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9)))))
(-.f64 (+.f64 (.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x z) 1/3)) (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9))))) (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/9)))))
(-.f64 (+.f64 (.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x z) 1/3)) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9)))) (.f64 5/81 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 x 4))) 1/3))))) (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/9)))))
(pow.f64 (/.f64 y z) 1/3)
(-.f64 (pow.f64 (/.f64 y z) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)))
(-.f64 (pow.f64 (/.f64 y z) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 7) (pow.f64 z 11))) 1/9) (pow.f64 x 2)))))
(-.f64 (pow.f64 (/.f64 y z) 1/3) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 5))) 1/3) (pow.f64 x 3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 11))) 1/9) (pow.f64 x 2))))))
(*.f64 (cbrt.f64 -1) (pow.f64 x 1/3))
(+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (.f64 (cbrt.f64 -1) (pow.f64 x 1/3)))
(-.f64 (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (.f64 (cbrt.f64 -1) (pow.f64 x 1/3))) (.f64 1/9 (.f64 (pow.f64 y 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (.f64 5/81 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3))) (.f64 (cbrt.f64 -1) (pow.f64 x 1/3)))) (.f64 1/9 (.f64 (pow.f64 y 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))
(pow.f64 y 1/3)
(-.f64 (pow.f64 y 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)))
(-.f64 (pow.f64 y 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))))
(-.f64 (pow.f64 y 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/3) (pow.f64 x 3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2))))))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 x 2) 1/3))
(+.f64 (.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (pow.f64 x 1/9)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 x 2) 1/3)))
(-.f64 (+.f64 (.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (pow.f64 x 1/9)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 x 2) 1/3))) (.f64 1/9 (.f64 (pow.f64 y 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)))))
(-.f64 (+.f64 (.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (pow.f64 x 1/9)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 x 2) 1/3))) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)))) (.f64 4/81 (/.f64 (pow.f64 y 3) x))))
(pow.f64 (pow.f64 y 2) 1/3)
(-.f64 (pow.f64 (pow.f64 y 2) 1/3) (.f64 2/3 (.f64 (pow.f64 y 1/9) x)))
(-.f64 (pow.f64 (pow.f64 y 2) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (.f64 (pow.f64 y 1/9) x))))
(-.f64 (pow.f64 (pow.f64 y 2) 1/3) (+.f64 (.f64 4/81 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (*.f64 (pow.f64 y 1/9) x)))))

Outputs
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x z) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)))
(+.f64 (.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x z) 1/3)) (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9)))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)) (.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18))) (.f64 1/3 y)))
(fma.f64 (.f64 1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18)) (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z))))
(-.f64 (+.f64 (.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x z) 1/3)) (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9))))) (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/9)))))
(+.f64 (fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)) (.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18)))))) (.f64 -1/9 (.f64 (.f64 y y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)) (fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 11)) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 11)) (pow.f64 x 7)) 1/18)) (.f64 y y))) -1/9)))
(fma.f64 (.f64 (.f64 y y) -1/9) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18))) (fma.f64 (.f64 1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18)) (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)))))
(-.f64 (+.f64 (.f64 (cbrt.f64 -1) (pow.f64 (/.f64 x z) 1/3)) (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (pow.f64 x 2))) 1/9)))) (.f64 5/81 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 x 4))) 1/3))))) (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/9)))))
(+.f64 (fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)) (fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18)))) (.f64 5/81 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 x 4)))))))) (.f64 -1/9 (.f64 (.f64 y y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18))))))
(+.f64 (fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)) (fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 x 4)))) (.f64 5/81 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)))))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 11)) (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 11)) (pow.f64 x 7)) 1/18)) (*.f64 y y))) -1/9))
(fma.f64 (.f64 y (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 x 7))) 1/18))))) -1/9 (fma.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 x z)) (fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 x x))) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 x 4)))) (.f64 -5/81 (/.f64 (pow.f64 y 3) (cbrt.f64 -1)))))))
(pow.f64 (/.f64 y z) 1/3)
(cbrt.f64 (/.f64 y z))
(-.f64 (pow.f64 (/.f64 y z) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)))
(+.f64 (cbrt.f64 (/.f64 y z)) (.f64 -1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 y y))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (*.f64 y y))) 1/18)))))
(+.f64 (cbrt.f64 (/.f64 y z)) (.f64 (.f64 -1/3 x) (.f64 (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 y (*.f64 y (pow.f64 z 7)))) 1/18))))
(fma.f64 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18))) -1/3 (cbrt.f64 (/.f64 y z)))
(-.f64 (pow.f64 (/.f64 y z) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 7) (pow.f64 z 11))) 1/9) (pow.f64 x 2)))))
(-.f64 (cbrt.f64 (/.f64 y z)) (fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 y y))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 y y))) 1/18))) (.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18))))))
(-.f64 (cbrt.f64 (/.f64 y z)) (fma.f64 1/9 (.f64 x (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18)) (.f64 x 1/3))))
(+.f64 (cbrt.f64 (/.f64 y z)) (.f64 x (-.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18)) -1/3) (.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18))) x))))
(-.f64 (pow.f64 (/.f64 y z) 1/3) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 z 5))) 1/3) (pow.f64 x 3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 z 7))) 1/9) x)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 11))) 1/9) (pow.f64 x 2))))))
(-.f64 (cbrt.f64 (/.f64 y z)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 y 4)))) (pow.f64 x 3)) (fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 y y))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 7) (.f64 y y))) 1/18))) (.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18)))))))
(-.f64 (cbrt.f64 (/.f64 y z)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 z 5))) (pow.f64 x 3)) (fma.f64 1/9 (.f64 x (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18)) (*.f64 x 1/3)))))
(-.f64 (fma.f64 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 y (.f64 y (pow.f64 z 7)))) 1/18))) -1/3 (cbrt.f64 (/.f64 y z))) (.f64 (.f64 x x) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 11) (pow.f64 y 7))) 1/18))) (.f64 (.f64 5/81 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 z 5) (pow.f64 y 4))))) x))))
(*.f64 (cbrt.f64 -1) (pow.f64 x 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 x))
(+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (.f64 (cbrt.f64 -1) (pow.f64 x 1/3)))
(fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (.f64 (cbrt.f64 -1) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18))) (.f64 1/3 y)))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))))
(-.f64 (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (.f64 (cbrt.f64 -1) (pow.f64 x 1/3))) (.f64 1/9 (.f64 (pow.f64 y 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))
(+.f64 (fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (.f64 (cbrt.f64 -1) (cbrt.f64 x))) (.f64 -1/9 (.f64 (.f64 y y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))))
(fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) -1/9)))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (.f64 -1/9 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (+.f64 (.f64 5/81 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3))) (.f64 (cbrt.f64 -1) (pow.f64 x 1/3)))) (.f64 1/9 (.f64 (pow.f64 y 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))
(+.f64 (fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (fma.f64 5/81 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 x)))) (.f64 -1/9 (.f64 (.f64 y y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))))
(+.f64 (fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) 5/81)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) -1/9))
(fma.f64 (.f64 (.f64 y y) -1/9) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (fma.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) 1/3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 -5/81 (/.f64 (pow.f64 y 3) (cbrt.f64 -1)))))))
(pow.f64 y 1/3)
(cbrt.f64 y)
(-.f64 (pow.f64 y 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)))
(+.f64 (cbrt.f64 y) (.f64 -1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))))
(+.f64 (cbrt.f64 y) (.f64 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18))) -1/3))
(fma.f64 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18))) -1/3 (cbrt.f64 y))
(-.f64 (pow.f64 y 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))))
(-.f64 (cbrt.f64 y) (fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18))) (.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18))))))
(-.f64 (cbrt.f64 y) (fma.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18))) x (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (.f64 (.f64 x x) 1/9))))
(-.f64 (cbrt.f64 y) (.f64 x (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18))) (.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18))) x))))
(-.f64 (pow.f64 y 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/3) (pow.f64 x 3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2))))))
(-.f64 (cbrt.f64 y) (fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18))) (fma.f64 5/81 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 y 4)))) (.f64 1/9 (.f64 (.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))))))
(-.f64 (cbrt.f64 y) (fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18))) (fma.f64 1/9 (.f64 x (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (.f64 (pow.f64 x 3) (*.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 y 4))))))))
(-.f64 (cbrt.f64 y) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 y 4))) (.f64 (pow.f64 x 3) 5/81) (.f64 x (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 y y)) 1/18) (pow.f64 (/.f64 1 (.f64 y y)) 1/18))) (.f64 (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18))) x)))))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 x 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 x x)))
(+.f64 (.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (pow.f64 x 1/9)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 x 2) 1/3)))
(fma.f64 2/3 (.f64 y (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 x x))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 x x)) (.f64 y (.f64 (.f64 (cbrt.f64 (cbrt.f64 -1)) (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) 2/3)))
(fma.f64 y (.f64 (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) 2/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (*.f64 x x))))
(-.f64 (+.f64 (.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (pow.f64 x 1/9)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 x 2) 1/3))) (.f64 1/9 (.f64 (pow.f64 y 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)))))
(+.f64 (fma.f64 2/3 (.f64 y (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 x x)))) (.f64 -1/9 (.f64 (.f64 y y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18))))))
(fma.f64 2/3 (.f64 y (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 x x)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (.f64 y (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) -1/9)))
(fma.f64 y (.f64 (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) 2/3) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y (*.f64 y (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -1/9)))
(-.f64 (+.f64 (.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 1/3) (pow.f64 x 1/9)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 x 2) 1/3))) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)))) (.f64 4/81 (/.f64 (pow.f64 y 3) x))))
(-.f64 (fma.f64 2/3 (.f64 y (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 x x)))) (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)))) (.f64 4/81 (/.f64 (pow.f64 y 3) x))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 x x)) (.f64 y (.f64 (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) 2/3))) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (.f64 4/81 (/.f64 (pow.f64 y 3) x))))
(fma.f64 y (.f64 (.f64 (cbrt.f64 (cbrt.f64 -1)) (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) 2/3) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 y (.f64 y (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -1/9 (*.f64 (/.f64 (pow.f64 y 3) x) -4/81))))
(pow.f64 (pow.f64 y 2) 1/3)
(cbrt.f64 (*.f64 y y))
(-.f64 (pow.f64 (pow.f64 y 2) 1/3) (.f64 2/3 (.f64 (pow.f64 y 1/9) x)))
(+.f64 (cbrt.f64 (.f64 y y)) (.f64 -2/3 (.f64 x (.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))))
(-.f64 (cbrt.f64 (.f64 y y)) (.f64 x (.f64 2/3 (.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))))
(fma.f64 (.f64 -2/3 x) (.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)) (cbrt.f64 (*.f64 y y)))
(-.f64 (pow.f64 (pow.f64 y 2) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (.f64 (pow.f64 y 1/9) x))))
(-.f64 (cbrt.f64 (.f64 y y)) (fma.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18))) (.f64 2/3 (.f64 x (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))))))
(-.f64 (cbrt.f64 (.f64 y y)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (.f64 x x))) (.f64 x (.f64 2/3 (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))))))
(-.f64 (cbrt.f64 (.f64 y y)) (.f64 x (+.f64 (.f64 2/3 (.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))) (.f64 (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18))) x))))
(-.f64 (pow.f64 (pow.f64 y 2) 1/3) (+.f64 (.f64 4/81 (/.f64 (pow.f64 x 3) y)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (*.f64 (pow.f64 y 1/9) x)))))
(-.f64 (cbrt.f64 (.f64 y y)) (fma.f64 4/81 (/.f64 (pow.f64 x 3) y) (fma.f64 1/9 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18))) (.f64 2/3 (.f64 x (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))))))
(-.f64 (cbrt.f64 (.f64 y y)) (fma.f64 4/81 (/.f64 (pow.f64 x 3) y) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (.f64 x x))) (.f64 x (.f64 2/3 (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))))))
(-.f64 (cbrt.f64 (.f64 y y)) (fma.f64 4/81 (/.f64 (pow.f64 x 3) y) (.f64 x (+.f64 (.f64 2/3 (.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))) (.f64 (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18))) x)))))

prune120.0ms (4.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	153	4	157

Error

Counts

157 → 4

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	0.9b	(+.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z))))
▶	33.0b	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)

Compiler

Compiled 5087 to 2775 computations (45.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 y x) z)
	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	0.0b	(sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))
✓	0.3b	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)

series163.0ms (6%)

Counts

2 → 32

Calls

18 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
30.0ms	z	@	inf	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
23.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
16.0ms	z	@	0	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
11.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)

rewrite51.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

373×	`fma-def_binary64`
229×	`fma-neg_binary64`
194×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`
158×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	232	22
2	3154	22

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)
(sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2) (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2)) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1/4) (*.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1/4) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 y x) z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2)) (/.f64 1 (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 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egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 y x) z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) z))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 y x) z) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 z) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (cbrt.f64 (/.f64 y z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) z) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(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)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(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)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1/4) (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3/2) (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (*.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (-.f64 y x) z) 2))) (sqrt.f64 (-.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 y x) z)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 x))))))

simplify36.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

392×	`associate-l_binary64`
337×	`cancel-sign-sub-inv_binary64`
273×	`times-frac_binary64`
262×	`associate-/r*_binary64`
233×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1265
1	451	1190
2	1717	1155

Stop Event

1×	node limit

Counts

132 → 126

Calls

Call 1

Inputs
(/.f64 y z)
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(sqrt.f64 (/.f64 y z))
(-.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 y z))) x)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (sqrt.f64 (/.f64 y z)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y z))) x)) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 3) z))) (pow.f64 x 2))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 5) (pow.f64 y 5))) (pow.f64 x 3))) (+.f64 (sqrt.f64 (/.f64 y z)) (+.f64 (.f64 3/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (pow.f64 x 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)))))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 3) z))) (pow.f64 x 2))) (+.f64 (.f64 3/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 5))) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y z))) x)) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 y 5) z))) (pow.f64 x 3))))))))
(sqrt.f64 (-.f64 x (/.f64 x z)))
(+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z)))))) (sqrt.f64 (-.f64 x (/.f64 x z))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z)))))) (sqrt.f64 (-.f64 x (/.f64 x z)))) (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z)))))) (+.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 5))))))) (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))))))
(sqrt.f64 x)
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (.f64 (/.f64 y (pow.f64 z 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 1 (pow.f64 z 2)) (sqrt.f64 x))) (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 3/16 (.f64 (/.f64 y (pow.f64 z 3)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (.f64 1/4 (.f64 (/.f64 y (pow.f64 z 2)) (sqrt.f64 (/.f64 1 x)))))))) (+.f64 (.f64 3/16 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (pow.f64 z 3)) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 1/8 (.f64 (/.f64 1 (pow.f64 z 2)) (sqrt.f64 x))))))))
(sqrt.f64 x)
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (.f64 (/.f64 y (pow.f64 z 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 1 (pow.f64 z 2)) (sqrt.f64 x))) (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 3/16 (.f64 (/.f64 y (pow.f64 z 3)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (.f64 1/4 (.f64 (/.f64 y (pow.f64 z 2)) (sqrt.f64 (/.f64 1 x)))))))) (+.f64 (.f64 3/16 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (pow.f64 z 3)) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 1/8 (.f64 (/.f64 1 (pow.f64 z 2)) (sqrt.f64 x))))))))

Outputs
(/.f64 y z)
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
x
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(-.f64 (+.f64 (/.f64 y z) x) (/.f64 x z))
(+.f64 (/.f64 y z) (-.f64 x (/.f64 x z)))
(sqrt.f64 (/.f64 y z))
(-.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 y z))) x)))
(+.f64 (sqrt.f64 (/.f64 y z)) (-.f64 (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 z y)))) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (*.f64 y z)))))))
(+.f64 (sqrt.f64 (/.f64 y z)) (.f64 x (-.f64 (.f64 1/2 (sqrt.f64 (/.f64 z y))) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 y z)))))))
(+.f64 (sqrt.f64 (/.f64 y z)) (.f64 1/2 (.f64 x (-.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 1 (*.f64 y z)))))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (sqrt.f64 (/.f64 y z)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y z))) x)) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 3) z))) (pow.f64 x 2))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (pow.f64 x 2))))))
(-.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 x x)) (+.f64 (sqrt.f64 (/.f64 y z)) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 z y)))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (.f64 y z)))) (.f64 1/8 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (.f64 z (pow.f64 y 3))))) (.f64 (.f64 x x) (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))))))
(-.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y 3))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 y z)))) (fma.f64 1/8 (.f64 (.f64 x x) (+.f64 (sqrt.f64 (/.f64 (/.f64 1 z) (pow.f64 y 3))) (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 y z))) (.f64 x 1/2))))
(fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y 3))))) (+.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (.f64 1/2 (.f64 x (-.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 1 (.f64 y z))))))) (.f64 -1/8 (.f64 (.f64 x x) (+.f64 (fabs.f64 (/.f64 (pow.f64 z 3/2) (pow.f64 y 3/2))) (sqrt.f64 (/.f64 (/.f64 1 z) (pow.f64 y 3))))))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 5) (pow.f64 y 5))) (pow.f64 x 3))) (+.f64 (sqrt.f64 (/.f64 y z)) (+.f64 (.f64 3/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (pow.f64 x 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)))))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 y 3) z))) (pow.f64 x 2))) (+.f64 (.f64 3/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 5))) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 y z))) x)) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 y 5) z))) (pow.f64 x 3))))))))
(-.f64 (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 x x)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 5) (pow.f64 y 5))) (pow.f64 x 3)) (+.f64 (sqrt.f64 (/.f64 y z)) (fma.f64 3/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 z (pow.f64 y 5)))) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 z y)))))))) (fma.f64 1/8 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (.f64 z (pow.f64 y 3))))) (fma.f64 3/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 5)))) (fma.f64 1/8 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (.f64 y z)))) (.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (*.f64 z (pow.f64 y 5)))))))))))
(-.f64 (fma.f64 1/4 (.f64 x (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y 3))))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 5) (pow.f64 y 5))) (pow.f64 x 3)) (+.f64 (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 y z))) (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (.f64 (pow.f64 x 3) 3/16))))) (fma.f64 1/8 (.f64 (.f64 x x) (sqrt.f64 (/.f64 (/.f64 1 z) (pow.f64 y 3)))) (fma.f64 3/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 5)))) (fma.f64 1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (.f64 y z)))) (.f64 (pow.f64 x 3) (.f64 1/16 (sqrt.f64 (/.f64 1 (.f64 z (pow.f64 y 5)))))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 z y))) (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (.f64 (pow.f64 x 3) 3/16))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (pow.f64 z 5) (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 (/.f64 y z)))) (.f64 (.f64 x x) (-.f64 (.f64 1/4 (sqrt.f64 (/.f64 z (pow.f64 y 3)))) (.f64 1/8 (sqrt.f64 (/.f64 (/.f64 1 z) (pow.f64 y 3))))))) (+.f64 (.f64 x (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 y z)))) (.f64 1/8 (.f64 (fabs.f64 (/.f64 (pow.f64 z 3/2) (pow.f64 y 3/2))) x)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 (/.f64 1 z) (pow.f64 y 5)))) (.f64 3/16 (fabs.f64 (/.f64 (pow.f64 z 3/2) (pow.f64 y 5/2))))))))
(sqrt.f64 (-.f64 x (/.f64 x z)))
(+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z)))))) (sqrt.f64 (-.f64 x (/.f64 x z))))
(fma.f64 1/2 (*.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z))))) (sqrt.f64 (-.f64 x (/.f64 x z))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z)))))) (sqrt.f64 (-.f64 x (/.f64 x z)))) (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z))))) (sqrt.f64 (-.f64 x (/.f64 x z)))) (.f64 -1/8 (.f64 (/.f64 (.f64 y y) (*.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z))))) (sqrt.f64 (-.f64 x (/.f64 x z)))) (.f64 (.f64 (/.f64 y z) (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))) 1/8)))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z))))) (sqrt.f64 (-.f64 x (/.f64 x z)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))) (.f64 (.f64 (/.f64 y z) (/.f64 y z)) -1/8)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z)))))) (+.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 5))))))) (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z))))) (+.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 5))))))) (.f64 -1/8 (.f64 (/.f64 (.f64 y y) (*.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z))))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 5)))) (sqrt.f64 (-.f64 x (/.f64 x z))))) (.f64 (.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3)))) -1/8))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 (-.f64 x (/.f64 x z))))) (sqrt.f64 (-.f64 x (/.f64 x z)))) (fma.f64 1/16 (.f64 (pow.f64 (/.f64 y z) 3) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 5)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 x (/.f64 x z)) 3))) (.f64 (*.f64 (/.f64 y z) (/.f64 y z)) -1/8))))
(sqrt.f64 x)
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (.f64 -1/2 (*.f64 (sqrt.f64 x) (/.f64 1 z))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (/.f64 (.f64 -1/2 (sqrt.f64 x)) z))
(fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 x) (-.f64 1 (/.f64 1/2 z))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (.f64 (/.f64 y (pow.f64 z 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 1 (pow.f64 z 2)) (sqrt.f64 x))) (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 y (.f64 z z))) (sqrt.f64 x))) (fma.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 1 z)) (.f64 1/8 (+.f64 (.f64 (sqrt.f64 x) (/.f64 1 (.f64 z z))) (.f64 (/.f64 (.f64 y y) (.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (/.f64 y z) 1/2) (.f64 1/4 (/.f64 y (.f64 z z)))))) (fma.f64 1/8 (fma.f64 (.f64 (/.f64 y z) (/.f64 y z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 x) (.f64 z z))) (*.f64 (sqrt.f64 x) (/.f64 1/2 z))))
(+.f64 (sqrt.f64 x) (-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1/4 z) (/.f64 y z)) (/.f64 (.f64 1/2 y) z))) (fma.f64 1/8 (fma.f64 (.f64 (/.f64 y z) (/.f64 y z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 x) (.f64 z z))) (.f64 (sqrt.f64 x) (/.f64 1/2 z)))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 3/16 (.f64 (/.f64 y (pow.f64 z 3)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (.f64 1/4 (.f64 (/.f64 y (pow.f64 z 2)) (sqrt.f64 (/.f64 1 x)))))))) (+.f64 (.f64 3/16 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (pow.f64 z 3)) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 1/8 (.f64 (/.f64 1 (pow.f64 z 2)) (sqrt.f64 x))))))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 y (pow.f64 z 3))) (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 y (.f64 z z))) (sqrt.f64 x))))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (.f64 y y) (pow.f64 z 3))) (fma.f64 1/16 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 z 3))) (fma.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 1 z)) (.f64 1/8 (+.f64 (.f64 (sqrt.f64 x) (/.f64 1 (.f64 z z))) (.f64 (/.f64 (.f64 y y) (*.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (/.f64 y z) 1/2) (.f64 1/4 (/.f64 y (.f64 z z))))) (fma.f64 (/.f64 (.f64 3/16 y) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (.f64 y y) (pow.f64 z 3))) (+.f64 (.f64 1/8 (fma.f64 (.f64 (/.f64 y z) (/.f64 y z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 x) (.f64 z z)))) (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/16 (pow.f64 z 3)) (/.f64 1/2 z))))))
(-.f64 (fma.f64 1/16 (.f64 (pow.f64 (/.f64 y z) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (+.f64 (.f64 (/.f64 1/4 z) (/.f64 y z)) (/.f64 (.f64 1/2 y) z)) (/.f64 (.f64 3/16 y) (pow.f64 z 3)))))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (/.f64 y (pow.f64 z 3)) y)) (+.f64 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 z 3)) (/.f64 1/2 z)) (/.f64 1/8 (.f64 z z)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (.f64 (/.f64 y z) (/.f64 y z)))))))
(sqrt.f64 x)
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)) (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (.f64 -1/2 (*.f64 (sqrt.f64 x) (/.f64 1 z))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (/.f64 (.f64 -1/2 (sqrt.f64 x)) z))
(fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 x) (-.f64 1 (/.f64 1/2 z))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (.f64 (/.f64 y (pow.f64 z 2)) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 1 (pow.f64 z 2)) (sqrt.f64 x))) (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 y (.f64 z z))) (sqrt.f64 x))) (fma.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 1 z)) (.f64 1/8 (+.f64 (.f64 (sqrt.f64 x) (/.f64 1 (.f64 z z))) (.f64 (/.f64 (.f64 y y) (.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(-.f64 (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (/.f64 y z) 1/2) (.f64 1/4 (/.f64 y (.f64 z z)))))) (fma.f64 1/8 (fma.f64 (.f64 (/.f64 y z) (/.f64 y z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 x) (.f64 z z))) (*.f64 (sqrt.f64 x) (/.f64 1/2 z))))
(+.f64 (sqrt.f64 x) (-.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1/4 z) (/.f64 y z)) (/.f64 (.f64 1/2 y) z))) (fma.f64 1/8 (fma.f64 (.f64 (/.f64 y z) (/.f64 y z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 x) (.f64 z z))) (.f64 (sqrt.f64 x) (/.f64 1/2 z)))))
(-.f64 (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 3/16 (.f64 (/.f64 y (pow.f64 z 3)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x)))) (.f64 1/4 (.f64 (/.f64 y (pow.f64 z 2)) (sqrt.f64 (/.f64 1 x)))))))) (+.f64 (.f64 3/16 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (pow.f64 z 3)) (sqrt.f64 x))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 z) (sqrt.f64 x))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 1/8 (.f64 (/.f64 1 (pow.f64 z 2)) (sqrt.f64 x))))))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 y (pow.f64 z 3))) (fma.f64 1/2 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 y (.f64 z z))) (sqrt.f64 x))))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (.f64 y y) (pow.f64 z 3))) (fma.f64 1/16 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 z 3))) (fma.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 1 z)) (.f64 1/8 (+.f64 (.f64 (sqrt.f64 x) (/.f64 1 (.f64 z z))) (.f64 (/.f64 (.f64 y y) (*.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (/.f64 y z) 1/2) (.f64 1/4 (/.f64 y (.f64 z z))))) (fma.f64 (/.f64 (.f64 3/16 y) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (.f64 y y) (pow.f64 z 3))) (+.f64 (.f64 1/8 (fma.f64 (.f64 (/.f64 y z) (/.f64 y z)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 x) (.f64 z z)))) (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/16 (pow.f64 z 3)) (/.f64 1/2 z))))))
(-.f64 (fma.f64 1/16 (.f64 (pow.f64 (/.f64 y z) 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (+.f64 (.f64 (/.f64 1/4 z) (/.f64 y z)) (/.f64 (.f64 1/2 y) z)) (/.f64 (.f64 3/16 y) (pow.f64 z 3)))))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (/.f64 y (pow.f64 z 3)) y)) (+.f64 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 z 3)) (/.f64 1/2 z)) (/.f64 1/8 (.f64 z z)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (.f64 (/.f64 y z) (/.f64 y z)))))))

prune127.0ms (4.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	258	4	262

Error

Counts

262 → 4

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 x (pow.f64 (/.f64 z (-.f64 y x)) -1))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	0.9b	(+.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z))))
✓	33.0b	(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 y x) z))) 2)

Compiler

Compiled 4889 to 2016 computations (58.8% saved)

regimes67.0ms (2.5%)

Accuracy

Total 0.0b remaining (47.8%)

Threshold costs 0.0b (47.8%)

Counts

27 → 1

Compiler

Compiled 271 to 114 computations (57.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	15	10
3	17	10
4	18	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end55.0ms (2%)

Stop Event

1×

done

Compiler

Compiled 78 to 50 computations (35.9% saved)

Details

analyze531.0ms (19.5%)

sample972.0ms (35.7%)

preprocess76.0ms (2.8%)

simplify22.0ms (0.8%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series9.0ms (0.3%)

rewrite47.0ms (1.7%)

simplify52.0ms (1.9%)

prune64.0ms (2.3%)

localize6.0ms (0.2%)

series22.0ms (0.8%)

rewrite49.0ms (1.8%)

simplify44.0ms (1.6%)

prune52.0ms (1.9%)

localize13.0ms (0.5%)

series32.0ms (1.2%)

rewrite54.0ms (2%)

simplify40.0ms (1.5%)

prune120.0ms (4.4%)

localize6.0ms (0.2%)

series163.0ms (6%)

rewrite51.0ms (1.9%)

simplify36.0ms (1.3%)

prune127.0ms (4.7%)

regimes67.0ms (2.5%)

simplify2.0ms (0.1%)

end55.0ms (2%)

Profiling