Details

analyze808.0ms (29.2%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
1.6%	97.5%	0.9%	9
18.7%	79.2%	2.1%	10
21.8%	74.8%	3.4%	11
26.5%	68.9%	4.6%	12
42.8%	49.9%	7.3%	13
45.7%	45%	9.2%	14

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample977.0ms (35.3%)

Results

845.0ms	8256×	body	128	valid
119.0ms	1224×	body	128	invalid

Compiler

Compiled 26 to 16 computations (38.5% saved)

preprocess35.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

916×	`fma-def_binary64`
686×	`div-sub_binary64`
212×	`fma-neg_binary64`
171×	`sub-neg_binary64`
160×	`distribute-frac-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	35	44
2	77	44
3	173	44
4	314	44
5	662	44
6	1319	44
7	2719	44
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 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify29.0ms (1%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-neg_binary64`
388×	`div-sub_binary64`
368×	`associate-/l*_binary64`
319×	`fma-def_binary64`
304×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	11
2	25	11
3	53	11
4	101	11
5	175	11
6	299	11
7	580	11
8	1635	11
9	4709	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	10.3b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 42 to 21 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	9.6b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

series9.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

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

rewrite46.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`
84×	`*-un-lft-identity_binary64`
84×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	156	19
2	2257	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify52.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

524×	`div-sub_binary64`
499×	`fma-def_binary64`
394×	`times-frac_binary64`
284×	`fma-neg_binary64`
137×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	753
1	84	726
2	195	672
3	483	618
4	1153	618
5	3470	618
6	4957	618

Stop Event

1×	node limit

Counts

128 → 78

Calls

Call 1

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

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

prune34.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Error

0.0b

Counts

79 → 4

Alt Table

Status	Error	Program
	26.6b	(*.f64 y (-.f64 1 (/.f64 x z)))
▶	0.7b	(fma.f64 x (/.f64 (-.f64 1 y) z) y)
	3.0b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
✓	10.3b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 1014 to 318 computations (68.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 y) z)
✓	0.7b	(fma.f64 x (/.f64 (-.f64 1 y) z) y)

series10.0ms (0.4%)

Counts

2 → 52

Calls

15 calls:

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

rewrite43.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`
86×	`*-un-lft-identity_binary64`
86×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	170	18
2	2292	18

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify40.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-def_binary64`
443×	`fma-neg_binary64`
121×	`distribute-rgt-in_binary64`
91×	`distribute-lft-in_binary64`
76×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	563
1	71	563
2	180	501
3	430	461
4	921	461
5	1816	461
6	2522	461
7	2618	461

Stop Event

1×

saturated

Counts

110 → 74

Calls

Call 1

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

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

prune46.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	73	5	78

Error

Counts

78 → 5

Alt Table

Status	Error	Program
	26.6b	(*.f64 y (-.f64 1 (/.f64 x z)))
▶	0.7b	(fma.f64 x (pow.f64 (/.f64 z (-.f64 1 y)) -1) y)
	3.0b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
	1.2b	(fma.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 1 y) (cbrt.f64 z))) y)
✓	10.3b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 1028 to 624 computations (39.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 1 y))
✓	0.1b	(pow.f64 (/.f64 z (-.f64 1 y)) -1)
✓	0.7b	(fma.f64 x (pow.f64 (/.f64 z (-.f64 1 y)) -1) y)

series11.0ms (0.4%)

Counts

3 → 72

Calls

21 calls:

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

rewrite62.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`log-prod_binary64`
214×	`prod-diff_binary64`
181×	`expm1-udef_binary64`
180×	`log1p-udef_binary64`
151×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	210	25
2	2661	25

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify43.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-def_binary64`
280×	`sub-neg_binary64`
215×	`unswap-sqr_binary64`
209×	`associate-l_binary64`
180×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	766
1	153	764
2	422	704
3	1210	688
4	3922	688

Stop Event

1×	node limit

Counts

187 → 144

Calls

Call 1

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

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

prune90.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	145	4	149

Error

Counts

149 → 4

Alt Table

Status	Error	Program
✓	0.7b	(fma.f64 x (pow.f64 (/.f64 z (-.f64 1 y)) -1) y)
	3.0b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
▶	0.7b	(fma.f64 x (/.f64 (/.f64 1 z) (/.f64 1 (-.f64 1 y))) y)
✓	10.3b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 2125 to 1321 computations (37.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 1 y))
✓	0.2b	(/.f64 (/.f64 1 z) (/.f64 1 (-.f64 1 y)))
✓	0.7b	(fma.f64 x (/.f64 (/.f64 1 z) (/.f64 1 (-.f64 1 y))) y)

series5.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite55.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`log-prod_binary64`
233×	`prod-diff_binary64`
193×	`expm1-udef_binary64`
192×	`log1p-udef_binary64`
167×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	222	25
2	3014	25

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

731×	`times-frac_binary64`
468×	`fma-def_binary64`
273×	`sub-neg_binary64`
215×	`unswap-sqr_binary64`
167×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	754
1	146	738
2	397	682
3	1083	681
4	3257	681

Stop Event

1×	node limit

Counts

186 → 145

Calls

Call 1

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

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

prune136.0ms (4.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	145	4	149

Error

Counts

149 → 4

Alt Table

Status	Error	Program
✓	0.7b	(fma.f64 x (pow.f64 (/.f64 z (-.f64 1 y)) -1) y)
	3.0b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
✓	0.7b	(fma.f64 x (/.f64 (/.f64 1 z) (/.f64 1 (-.f64 1 y))) y)
✓	10.3b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 2173 to 1392 computations (35.9% saved)

regimes105.0ms (3.8%)

Accuracy

Total 3.3b remaining (99.5%)

Threshold costs 0b (0%)

Counts

47 → 1

Compiler

Compiled 431 to 231 computations (46.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	15	11
2	19	11
3	21	11
4	22	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end56.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 75 to 48 computations (36% saved)

Details

analyze808.0ms (29.2%)

sample977.0ms (35.3%)

preprocess35.0ms (1.3%)

simplify29.0ms (1%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

series9.0ms (0.3%)

rewrite46.0ms (1.7%)

simplify52.0ms (1.9%)

prune34.0ms (1.2%)

localize5.0ms (0.2%)

series10.0ms (0.4%)

rewrite43.0ms (1.6%)

simplify40.0ms (1.5%)

prune46.0ms (1.7%)

localize6.0ms (0.2%)

series11.0ms (0.4%)

rewrite62.0ms (2.2%)

simplify43.0ms (1.5%)

prune90.0ms (3.2%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite55.0ms (2%)

simplify41.0ms (1.5%)

prune136.0ms (4.9%)

regimes105.0ms (3.8%)

simplify2.0ms (0.1%)

end56.0ms (2%)

Profiling