Details

analyze56.0ms (0.9%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
43.7%	43.7%	12.6%	7
46.8%	34.3%	18.8%	8
57.8%	23.4%	18.8%	9
60.1%	18%	22%	10
66%	12.1%	22%	11
67.3%	9.2%	23.5%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample776.0ms (12.9%)

Results

748.0ms	8256×	body	256	valid
14.0ms	174×	body	256	invalid

preprocess39.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

496×	`fma-def_binary64`
136×	`fma-neg_binary64`
67×	`distribute-rgt-in_binary64`
53×	`unsub-neg_binary64`
44×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	26	20
2	48	20
3	108	20
4	248	20
5	362	20
6	496	20
7	682	20
8	1195	20
9	1220	20
10	1270	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

265×	`fma-def_binary64`
84×	`fma-neg_binary64`
33×	`distribute-rgt-in_binary64`
25×	`unsub-neg_binary64`
24×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	162	10
5	239	10
6	327	10
7	431	10
8	672	10
9	717	10
10	749	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval2.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	145	17
2	1841	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

Outputs

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

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

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1185×	`fma-def_binary64`
550×	`fma-neg_binary64`
507×	`distribute-rgt-neg-in_binary64`
469×	`cancel-sign-sub-inv_binary64`
393×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	13	424
1	31	370
2	68	370
3	138	370
4	382	370
5	1314	370
6	2544	370
7	4316	370
8	5983	370
9	6807	282
10	7579	282

Stop Event

1×	node limit

Counts

95 → 57

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))

Outputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 x y))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 x y))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 x y))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (.f64 x y))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 x y)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 x (-.f64 1 (.f64 x y)))
(*.f64 x (fma.f64 x y -1))
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x y)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x y)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x y)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x y)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 x y)))
(-.f64 1 (*.f64 x y))
(fma.f64 x y 1)

eval14.0ms (0.2%)

Compiler: Compiled 670 to 362 computations (46% saved)

prune15.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	9	58

Error

0.0b

Counts

58 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) 3))
▶	10.7b	(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
▶	5.6b	(.f64 x (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 1 (*.f64 x (neg.f64 y)))))
▶	10.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
▶	45.7b	(.f64 -1 (.f64 y (pow.f64 x 2)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	23.5b	x
	14.3b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
▶	0.1b	(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))

Compiler

Compiled 220 to 140 computations (36.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))
✓	0.2b	(.f64 (.f64 x (neg.f64 y)) x)

Compiler

Compiled 24 to 6 computations (75% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
691×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	157	15
2	2317	15

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify92.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
838×	`fma-def_binary64`
540×	`distribute-rgt-neg-in_binary64`
485×	`cancel-sign-sub-inv_binary64`
420×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	452
1	21	434
2	49	434
3	120	434
4	338	434
5	1199	434
6	3301	434
7	4901	434
8	7102	434
9	7898	434

Stop Event

1×	node limit

Counts

104 → 61

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

Outputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (neg.f64 (.f64 y x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 x (*.f64 x (neg.f64 y)) x)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 1 (*.f64 x (neg.f64 y)))))
✓	0.3b	(.f64 (.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))
✓	5.3b	(/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 1 (.f64 x (neg.f64 y))))

New

Error

Program

✓

0.1b

(*.f64 x (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 1 (*.f64 x (neg.f64 y)))))

✓

0.3b

(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))

✓

5.3b

(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 1 (*.f64 x (neg.f64 y))))

Compiler

Compiled 75 to 21 computations (72% saved)

series12.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`log-prod_binary64`
342×	`fma-def_binary64`
306×	`pow-unpow_binary64`
264×	`pow2_binary64`
188×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	254	24
2	4028	20

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

Inputs

(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 1 (*.f64 x (neg.f64 y))))

(*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))

(*.f64 x (/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 1 (*.f64 x (neg.f64 y)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x y 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 x y 1)) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 x y 1)) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 x (fma.f64 y (*.f64 x y) y) 1)) (/.f64 (pow.f64 (*.f64 x y) 3) (fma.f64 x (fma.f64 y (*.f64 x y) y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) 2) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) (/.f64 1 (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y 1)) (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (cbrt.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x y)) (*.f64 (hypot.f64 1 (*.f64 x y)) (/.f64 1 (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (*.f64 x y) 2)) (/.f64 1 (neg.f64 (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x (fma.f64 y (*.f64 x y) y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x y 1)) (+.f64 1 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2))) (/.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) (cbrt.f64 (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x y 1))) (/.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 x y)) 1) (/.f64 (hypot.f64 1 (*.f64 x y)) 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(fma.f64 x y 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) 3) (pow.f64 (fma.f64 x y 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 y (*.f64 x y) y) 1) (+.f64 1 (pow.f64 (*.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (fma.f64 x y 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) (neg.f64 (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) 3) (pow.f64 (fma.f64 x y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (hypot.f64 (*.f64 x y) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (fma.f64 x y 1)) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x y 1) (/.f64 1 (+.f64 1 (pow.f64 (*.f64 x y) 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x y 1))) 2) (cbrt.f64 (/.f64 1 (fma.f64 x y 1))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 x y 1))) (sqrt.f64 (/.f64 1 (fma.f64 x y 1))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x y))) (sqrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x y 1)) (+.f64 1 (pow.f64 (*.f64 x y) 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 x y 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x y 1)) (+.f64 1 (pow.f64 (*.f64 x y) 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) 2)) (/.f64 (fma.f64 x y 1) (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2)) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x y 1) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) 2)) (/.f64 (cbrt.f64 (fma.f64 x y 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1 (*.f64 x y))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 x y) 2))) (fma.f64 x y 1) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x y 1) (-.f64 1 (pow.f64 (*.f64 x y) 6))) (+.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 4))) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x y 1) (+.f64 1 (pow.f64 (*.f64 x y) 4))) (+.f64 1 (pow.f64 (*.f64 x y) 2)) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 x y) 3))) (fma.f64 x (fma.f64 y (*.f64 x y) y) 1) (neg.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) -1) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x y) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x y) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (*.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 x y))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x y)) (hypot.f64 1 (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x y) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x y) 4)) (/.f64 1 (+.f64 1 (pow.f64 (*.f64 x y) 2))) -1)))))

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

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
463×	`distribute-rgt-in_binary64`
454×	`distribute-rgt-neg-in_binary64`
441×	`cancel-sign-sub-inv_binary64`
323×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	664
1	37	610
2	83	610
3	213	610
4	962	610
5	2305	610
6	3750	610
7	5901	610

Stop Event

1×	node limit

Counts

227 → 166

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

Outputs
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 y (neg.f64 x)) x)
(.f64 x (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 y (neg.f64 x)) x)
(.f64 x (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 y (neg.f64 x)) x)
(.f64 x (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 y (neg.f64 x)) x)
(.f64 x (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.2b	(*.f64 y (pow.f64 x 2))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 y (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 y (pow.f64 x 2))
0.0ms	x	@	-inf	(*.f64 y (pow.f64 x 2))
0.0ms	y	@	-inf	(*.f64 y (pow.f64 x 2))
0.0ms	y	@	inf	(*.f64 y (pow.f64 x 2))

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`pow1_binary64`
481×	`add-sqr-sqrt_binary64`
461×	`add-log-exp_binary64`
461×	`log1p-expm1-u_binary64`
461×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1318	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 y (pow.f64 x 2))

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
	13.2b	(*.f64 y (pow.f64 x 2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 6

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
0.0ms	x	@	inf	(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
0.0ms	y	@	inf	(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
0.0ms	y	@	-inf	(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
0.0ms	x	@	-inf	(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`pow1_binary64`
768×	`add-log-exp_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	192	10
2	2488	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

Outputs

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

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary64`
572×	`distribute-rgt-neg-in_binary64`
568×	`distribute-lft-neg-in_binary64`
539×	`fma-neg_binary64`
368×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	18	38
2	43	38
3	99	38
4	268	38
5	898	38
6	1506	38
7	2690	38
8	3906	38
9	4773	38
10	5363	38
11	6109	38
12	7257	38

Stop Event

1×	node limit

Counts

43 → 40

Calls

Call 1

Inputs
x
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
x
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))

Outputs
x
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (neg.f64 (.f64 x y)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (neg.f64 (.f64 x y)))
(.f64 y (.f64 x (neg.f64 x)))
x
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (neg.f64 (.f64 x y)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 x (neg.f64 (.f64 x y)))
(.f64 y (.f64 x (neg.f64 x)))

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x y) 2)
✓	1.6b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
✓	7.7b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 50 to 26 computations (48% saved)

series9.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
1.0ms	y	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`prod-diff_binary64`
597×	`log-prod_binary64`
372×	`fma-def_binary64`
208×	`pow1/3_binary64`
203×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	244	30
2	3379	30

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
(pow.f64 (*.f64 x y) 2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (pow.f64 (*.f64 x y) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (pow.f64 (*.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (pow.f64 (*.f64 x y) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (pow.f64 (*.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x y) 6)) x) (+.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x y) 4)) x) (+.f64 1 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 6))) (+.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 4))) (+.f64 1 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (pow.f64 (*.f64 x y) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 x y) 2)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (pow.f64 (*.f64 x y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (*.f64 x y) 2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (pow.f64 (*.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 4)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) 3) (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (*.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x y)) (hypot.f64 1 (*.f64 x y)) -1)))))

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

651×	`distribute-rgt-neg-in_binary64`
625×	`distribute-lft-neg-in_binary64`
584×	`associate-l_binary64`
459×	`fma-neg_binary64`
446×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	778
1	46	742
2	128	742
3	512	742
4	2595	742
5	4713	742
6	6783	742

Stop Event

1×	node limit

Counts

189 → 127

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
x
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))

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

eval126.0ms (2.1%)

Compiler: Compiled 6608 to 3545 computations (46.4% saved)

prune69.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	405	11	416
Fresh	2	1	3
Picked	1	0	1
Done	4	1	5
Total	412	13	425

Error

Counts

425 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	10.1b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))
▶	39.0b	(.f64 x (.f64 y (neg.f64 x)))
▶	10.7b	(-.f64 x (.f64 y (.f64 x x)))
▶	51.6b	(.f64 -1 (pow.f64 (.f64 x (sqrt.f64 y)) 2))
▶	5.6b	(.f64 x (/.f64 (-.f64 1 (.f64 (.f64 y x) (.f64 y x))) (-.f64 1 (*.f64 x (neg.f64 y)))))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	0.5b	(.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) 3))
	23.5b	x
	54.2b	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
	5.6b	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
	0.5b	(.f64 x (fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1))
▶	0.1b	(-.f64 x (.f64 x (.f64 x y)))
	45.7b	(.f64 y (.f64 x (neg.f64 x)))

Compiler

Compiled 300 to 196 computations (34.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 x (.f64 x y)))
✓	0.2b	(.f64 x (.f64 x y))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`pow1_binary64`
704×	`add-log-exp_binary64`
704×	`log1p-expm1-u_binary64`
704×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	134	17
2	1944	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
838×	`fma-def_binary64`
540×	`distribute-rgt-neg-in_binary64`
484×	`cancel-sign-sub-inv_binary64`
420×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	404
1	21	386
2	49	386
3	120	386
4	337	386
5	1198	386
6	3299	386
7	4898	386
8	7093	386
9	7894	386

Stop Event

1×	node limit

Counts

98 → 57

Calls

Call 1

Inputs
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

Outputs
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 y (neg.f64 x)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
480×	`add-sqr-sqrt_binary64`
462×	`add-log-exp_binary64`
461×	`log1p-expm1-u_binary64`
461×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	7
2	1655	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary64`
569×	`distribute-rgt-neg-in_binary64`
567×	`distribute-lft-neg-in_binary64`
539×	`fma-neg_binary64`
367×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	18	216
2	43	216
3	99	216
4	268	216
5	900	216
6	1504	216
7	2688	216
8	3904	216
9	4771	216
10	5361	216
11	6105	216
12	7253	216

Stop Event

1×	node limit

Counts

36 → 14

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 y (.f64 x x)))
✓	13.2b	(.f64 y (.f64 x x))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
693×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	135	17
2	1964	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
838×	`fma-def_binary64`
540×	`distribute-rgt-neg-in_binary64`
484×	`cancel-sign-sub-inv_binary64`
420×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	404
1	21	386
2	49	386
3	120	386
4	337	386
5	1198	386
6	3299	386
7	4898	386
8	7093	386
9	7894	386

Stop Event

1×	node limit

Counts

98 → 57

Calls

Call 1

Inputs
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

Outputs
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(*.f64 (neg.f64 x) (fma.f64 y x -1))

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.1b

(*.f64 x (/.f64 (-.f64 1 (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 1 (*.f64 x (neg.f64 y)))))

✓

0.3b

(*.f64 (*.f64 y x) (*.f64 y x))

✓

5.3b

(/.f64 (-.f64 1 (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 1 (*.f64 x (neg.f64 y))))

Compiler

Compiled 70 to 22 computations (68.6% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log-prod_binary64`
313×	`fma-def_binary64`
297×	`pow-unpow_binary64`
267×	`pow2_binary64`
195×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	276	24
2	4256	20

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs

(/.f64 (-.f64 1 (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 1 (*.f64 x (neg.f64 y))))

(*.f64 (*.f64 y x) (*.f64 y x))

(*.f64 x (/.f64 (-.f64 1 (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 1 (*.f64 x (neg.f64 y)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 y x 1)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y x 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 y x 1)) (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x 1) 1)) (/.f64 (pow.f64 (*.f64 y x) 3) (fma.f64 (*.f64 y x) (fma.f64 y x 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) (/.f64 1 (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 y x)) (*.f64 (hypot.f64 1 (*.f64 y x)) (/.f64 1 (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 -1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y x 1)) (+.f64 1 (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2)) (/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 y x 1))) (/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) (sqrt.f64 (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 y x)) 1) (/.f64 (hypot.f64 1 (*.f64 y x)) (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2)) (cbrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 y x)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2)) (/.f64 (hypot.f64 1 (*.f64 y x)) (cbrt.f64 (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2) (sqrt.f64 (fma.f64 y x 1))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) (sqrt.f64 (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) (+.f64 1 (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 y x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) (+.f64 1 (pow.f64 (*.f64 y x) 2))) (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 y x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) 3) (pow.f64 (fma.f64 y x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (fma.f64 y x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y x) (fma.f64 y x 1) 1) (+.f64 1 (pow.f64 (*.f64 y x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) (+.f64 -1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) 3) (pow.f64 (fma.f64 y x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 y x 1)) (hypot.f64 (*.f64 y x) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (fma.f64 y x 1)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y x 1) (/.f64 1 (+.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (neg.f64 (cbrt.f64 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 y x 1))) 2) (cbrt.f64 (/.f64 1 (fma.f64 y x 1))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 y y))) (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 y x 1))) (sqrt.f64 (/.f64 1 (fma.f64 y x 1))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y x 1)) (+.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 y x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 y x 1)) (+.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2)) (/.f64 (fma.f64 y x 1) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2)) (/.f64 (cbrt.f64 (fma.f64 y x 1)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2)) (/.f64 (sqrt.f64 (fma.f64 y x 1)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 1 (*.f64 y x))) (/.f64 (fma.f64 y x 1) (hypot.f64 1 (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (hypot.f64 1 (*.f64 y x))) (/.f64 (cbrt.f64 (fma.f64 y x 1)) (hypot.f64 1 (*.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 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(fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 y x) 3))) (fma.f64 (*.f64 y x) (fma.f64 y x 1) 1) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) -1) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1) y 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 y x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (*.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (exp.f64 (pow.f64 (*.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 (*.f64 y x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (*.f64 y x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 y x)) (hypot.f64 1 (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 y x) 6)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (*.f64 y x) 4)) (pow.f64 (*.f64 y x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 y x) 4)) (/.f64 1 (+.f64 1 (pow.f64 (*.f64 y x) 2))) -1)))))

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

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
463×	`distribute-rgt-in_binary64`
454×	`distribute-rgt-neg-in_binary64`
441×	`cancel-sign-sub-inv_binary64`
323×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	664
1	37	610
2	83	610
3	213	610
4	962	610
5	2305	610
6	3750	610
7	5901	610

Stop Event

1×	node limit

Counts

230 → 169

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (.f64 -1 (.f64 y x)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

Outputs
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
1
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (.f64 -1 (.f64 y x)))
(+.f64 1 (neg.f64 (*.f64 y x)))
(-.f64 1 (*.f64 y x))
(fma.f64 y (neg.f64 x) 1)
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x x)))
(.f64 (.f64 y x) (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 y (neg.f64 x)) x)
(.f64 x (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 y (neg.f64 x)) x)
(.f64 x (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 y (neg.f64 x)) x)
(.f64 x (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 y (neg.f64 x)) x)
(.f64 x (neg.f64 (.f64 y x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 x (.f64 y x)))
(*.f64 x (fma.f64 y (neg.f64 x) 1))
(.f64 x (-.f64 1 (.f64 y x)))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (sqrt.f64 y))
✓	0.2b	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)

Compiler

Compiled 26 to 12 computations (53.8% saved)

series11.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
2.0ms	y	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	y	@	inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	x	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`pow1_binary64`
539×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
523×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	145	13
2	1601	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
(*.f64 x (sqrt.f64 y))

Outputs

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

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

simplify165.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
560×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`
517×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	156
1	15	156
2	26	156
3	52	156
4	123	156
5	377	156
6	1466	156
7	2355	156
8	2519	156
9	2732	156
10	2952	156
11	3258	156
12	3660	156
13	4153	156
14	4721	156
15	5407	156
16	6238	156
17	6632	156
18	6922	156
19	7198	156
20	7272	156
21	7308	156

Stop Event

1×	node limit

Counts

59 → 38

Calls

Call 1

Inputs
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) x)

Outputs
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))

eval172.0ms (2.9%)

Compiler: Compiled 4889 to 2285 computations (53.3% saved)

prune55.0ms (0.9%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	332	3	335
Fresh	3	4	7
Picked	0	1	1
Done	0	5	5
Total	335	13	348

Error

Counts

348 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.1b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))
✓	39.0b	(.f64 x (.f64 y (neg.f64 x)))
	0.5b	(.f64 x (fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1))
	23.5b	x
✓	10.7b	(-.f64 x (.f64 y (.f64 x x)))
✓	51.6b	(.f64 -1 (pow.f64 (.f64 x (sqrt.f64 y)) 2))
✓	5.6b	(.f64 x (/.f64 (-.f64 1 (.f64 (.f64 y x) (.f64 y x))) (-.f64 1 (*.f64 x (neg.f64 y)))))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
▶	0.5b	(.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) 3))
▶	45.7b	(.f64 (.f64 x x) (neg.f64 y))
▶	54.2b	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
▶	5.6b	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
✓	0.1b	(-.f64 x (.f64 x (.f64 x y)))

Compiler

Compiled 244 to 161 computations (34% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (*.f64 x y))
✓	0.1b	(.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) 3))
✓	0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
✓	0.3b	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) 3)

Compiler

Compiled 38 to 21 computations (44.7% saved)

series13.0ms (0.2%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) 3)
1.0ms	x	@	inf	(cbrt.f64 (-.f64 1 (*.f64 x y)))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) 3)

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
842×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
824×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	213	26
2	2329	26

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) 3)
(cbrt.f64 (-.f64 1 (*.f64 x y)))
(.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) 3))

Outputs

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

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

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

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

731×	`associate-l_binary64`
615×	`associate-r_binary64`
456×	`associate-+l+_binary64`
427×	`associate-+r+_binary64`
317×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	588
1	326	489
2	1321	450
3	6213	446
4	6542	446

Stop Event

1×	node limit

Counts

115 → 97

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/3 y) (*.f64 -2/3 y)) x))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 y 2)) (+.f64 (.f64 2/9 (pow.f64 y 2)) (+.f64 (.f64 -1/9 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 2))))) (pow.f64 x 2)) (+.f64 1 (.f64 (+.f64 (.f64 -1/3 y) (.f64 -2/3 y)) x)))
(+.f64 (.f64 (+.f64 (.f64 4/27 (pow.f64 y 3)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/27 (pow.f64 y 3)) (.f64 2/9 (pow.f64 y 3)))) (+.f64 (.f64 -2/3 (+.f64 (.f64 -1/27 (pow.f64 y 3)) (.f64 2/9 (pow.f64 y 3)))) (.f64 -1/3 (.f64 y (+.f64 (.f64 -2/9 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 2)))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 y 2)) (+.f64 (.f64 2/9 (pow.f64 y 2)) (+.f64 (.f64 -1/9 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 2))))) (pow.f64 x 2)) (+.f64 1 (.f64 (+.f64 (.f64 -1/3 y) (.f64 -2/3 y)) x))))
1
(+.f64 1 (.f64 (+.f64 (.f64 -2/3 x) (*.f64 -1/3 x)) y))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -2/3 x) (.f64 -1/3 x)) y) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 2/9 (pow.f64 x 2)) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (.f64 1/9 (pow.f64 x 2))))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -2/3 x) (.f64 -1/3 x)) y) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 4/27 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (+.f64 (.f64 2/9 (pow.f64 x 3)) (.f64 -1/27 (pow.f64 x 3)))) (+.f64 (.f64 -2/3 (+.f64 (.f64 2/9 (pow.f64 x 3)) (.f64 -1/27 (pow.f64 x 3)))) (.f64 -1/3 (.f64 (+.f64 (.f64 -2/9 (pow.f64 x 2)) (.f64 1/9 (pow.f64 x 2))) x)))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 2/9 (pow.f64 x 2)) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (.f64 1/9 (pow.f64 x 2)))))))))
1
(+.f64 1 (.f64 -1/3 (.f64 y x)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (.f64 -1/3 (.f64 y x))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1/3 (.f64 y x)) (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (pow.f64 y 3)) (.f64 2/9 (pow.f64 y 3))) (pow.f64 x 3))))))
1
(+.f64 1 (.f64 -1/3 (.f64 y x)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (.f64 -1/3 (.f64 y x))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1/3 (.f64 y x)) (.f64 -1/3 (.f64 (+.f64 (.f64 2/9 (pow.f64 x 3)) (.f64 -1/27 (pow.f64 x 3))) (pow.f64 y 3))))))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

Outputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/3 y) (*.f64 -2/3 y)) x))
(+.f64 1 (.f64 (.f64 y -1) x))
(fma.f64 (neg.f64 y) x 1)
(fma.f64 y (neg.f64 x) 1)
(+.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 y 2)) (+.f64 (.f64 2/9 (pow.f64 y 2)) (+.f64 (.f64 -1/9 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 2))))) (pow.f64 x 2)) (+.f64 1 (.f64 (+.f64 (.f64 -1/3 y) (.f64 -2/3 y)) x)))
(+.f64 1 (.f64 (.f64 y -1) x))
(fma.f64 (neg.f64 y) x 1)
(fma.f64 y (neg.f64 x) 1)
(+.f64 (.f64 (+.f64 (.f64 4/27 (pow.f64 y 3)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/27 (pow.f64 y 3)) (.f64 2/9 (pow.f64 y 3)))) (+.f64 (.f64 -2/3 (+.f64 (.f64 -1/27 (pow.f64 y 3)) (.f64 2/9 (pow.f64 y 3)))) (.f64 -1/3 (.f64 y (+.f64 (.f64 -2/9 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 2)))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 y 2)) (+.f64 (.f64 2/9 (pow.f64 y 2)) (+.f64 (.f64 -1/9 (pow.f64 y 2)) (.f64 1/9 (pow.f64 y 2))))) (pow.f64 x 2)) (+.f64 1 (.f64 (+.f64 (.f64 -1/3 y) (.f64 -2/3 y)) x))))
(fma.f64 (fma.f64 4/27 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (pow.f64 y 3) 5/27) (fma.f64 -2/3 (.f64 (pow.f64 y 3) 5/27) (.f64 (.f64 -1/3 y) (.f64 (.f64 y y) -1/9))))) (pow.f64 x 3) (fma.f64 (fma.f64 -2/9 (.f64 y y) (fma.f64 2/9 (.f64 y y) (.f64 (.f64 y y) 0))) (.f64 x x) (+.f64 1 (.f64 (*.f64 y -1) x))))
(fma.f64 (fma.f64 4/27 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 -1/9 (pow.f64 y 3))) (.f64 (.f64 (pow.f64 y 3) 5/27) -1))) (pow.f64 x 3) (fma.f64 0 (*.f64 x x) (fma.f64 (neg.f64 y) x 1)))
(fma.f64 (fma.f64 4/27 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 y 3) 1/27) (.f64 (pow.f64 y 3) -5/27))) (pow.f64 x 3) (fma.f64 y (neg.f64 x) 1))
1
(+.f64 1 (.f64 (+.f64 (.f64 -2/3 x) (*.f64 -1/3 x)) y))
(+.f64 1 (.f64 (.f64 y -1) x))
(fma.f64 (neg.f64 y) x 1)
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -2/3 x) (.f64 -1/3 x)) y) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 2/9 (pow.f64 x 2)) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (.f64 1/9 (pow.f64 x 2))))))))
(+.f64 1 (.f64 (.f64 y -1) x))
(fma.f64 (neg.f64 y) x 1)
(fma.f64 y (neg.f64 x) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -2/3 x) (.f64 -1/3 x)) y) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 4/27 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (+.f64 (.f64 2/9 (pow.f64 x 3)) (.f64 -1/27 (pow.f64 x 3)))) (+.f64 (.f64 -2/3 (+.f64 (.f64 2/9 (pow.f64 x 3)) (.f64 -1/27 (pow.f64 x 3)))) (.f64 -1/3 (.f64 (+.f64 (.f64 -2/9 (pow.f64 x 2)) (.f64 1/9 (pow.f64 x 2))) x)))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 2/9 (pow.f64 x 2)) (+.f64 (.f64 -2/9 (pow.f64 x 2)) (.f64 1/9 (pow.f64 x 2)))))))))
(+.f64 1 (fma.f64 (.f64 x -1) y (fma.f64 (pow.f64 y 3) (fma.f64 4/27 (pow.f64 x 3) (fma.f64 -1/3 (.f64 (pow.f64 x 3) 5/27) (fma.f64 -2/3 (.f64 (pow.f64 x 3) 5/27) (.f64 (.f64 -1/3 (.f64 -1/9 (.f64 x x))) x)))) (.f64 (.f64 y y) (fma.f64 -1/9 (.f64 x x) (fma.f64 2/9 (.f64 x x) (.f64 -1/9 (*.f64 x x))))))))
(+.f64 (fma.f64 (neg.f64 y) x 1) (fma.f64 (pow.f64 y 3) (fma.f64 4/27 (pow.f64 x 3) (+.f64 (.f64 -1/3 (.f64 -1/9 (pow.f64 x 3))) (.f64 (.f64 (pow.f64 x 3) 5/27) -1))) (.f64 y (.f64 y (fma.f64 -1/9 (.f64 x x) (.f64 x (*.f64 x 1/9)))))))
(+.f64 (fma.f64 y (neg.f64 x) 1) (.f64 (pow.f64 y 3) (fma.f64 4/27 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 x 3) -5/27)))))
(+.f64 (fma.f64 y (neg.f64 x) 1) (.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 x 3) 2/27) (.f64 2/3 (.f64 -1/9 (pow.f64 x 3))))))
(+.f64 1 (fma.f64 (pow.f64 y 3) (+.f64 (.f64 (pow.f64 x 3) 2/27) (.f64 2/3 (.f64 -1/9 (pow.f64 x 3)))) (.f64 y (neg.f64 x))))
1
(+.f64 1 (.f64 -1/3 (.f64 y x)))
(fma.f64 -1/3 (*.f64 y x) 1)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (.f64 -1/3 (.f64 y x))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 x x)) (+.f64 1 (.f64 -1/3 (*.f64 y x))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1/3 (.f64 y x) 1))
(fma.f64 -1/9 (.f64 y (.f64 y (.f64 x x))) (fma.f64 -1/3 (.f64 y x) 1))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1/3 (.f64 y x)) (.f64 -1/3 (.f64 (+.f64 (.f64 -1/27 (pow.f64 y 3)) (.f64 2/9 (pow.f64 y 3))) (pow.f64 x 3))))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 x x)) (+.f64 1 (.f64 -1/3 (+.f64 (.f64 y x) (.f64 (*.f64 (pow.f64 y 3) 5/27) (pow.f64 x 3))))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1/3 (fma.f64 y x (.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3) 5/27))) 1))
(fma.f64 -1/9 (.f64 y (.f64 y (.f64 x x))) (fma.f64 -1/3 (fma.f64 y x (.f64 (*.f64 (pow.f64 y 3) 5/27) (pow.f64 x 3))) 1))
1
(+.f64 1 (.f64 -1/3 (.f64 y x)))
(fma.f64 -1/3 (*.f64 y x) 1)
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (.f64 -1/3 (.f64 y x))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 x x)) (+.f64 1 (.f64 -1/3 (*.f64 y x))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1/3 (.f64 y x) 1))
(fma.f64 -1/9 (.f64 y (.f64 y (.f64 x x))) (fma.f64 -1/3 (.f64 y x) 1))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1/3 (.f64 y x)) (.f64 -1/3 (.f64 (+.f64 (.f64 2/9 (pow.f64 x 3)) (.f64 -1/27 (pow.f64 x 3))) (pow.f64 y 3))))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 x x)) (+.f64 1 (.f64 -1/3 (+.f64 (.f64 y x) (.f64 (*.f64 (pow.f64 y 3) 5/27) (pow.f64 x 3))))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 x x)) (fma.f64 -1/3 (fma.f64 y x (.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3) 5/27))) 1))
(fma.f64 -1/9 (.f64 y (.f64 y (.f64 x x))) (fma.f64 -1/3 (fma.f64 y x (.f64 (*.f64 (pow.f64 y 3) 5/27) (pow.f64 x 3))) 1))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(*.f64 (fma.f64 y (neg.f64 x) 1) x)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.2b	(.f64 (.f64 x x) (neg.f64 y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`pow1_binary64`
469×	`add-sqr-sqrt_binary64`
453×	`add-log-exp_binary64`
452×	`log1p-expm1-u_binary64`
452×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	7
2	1613	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x y))))))))

simplify103.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary64`
569×	`distribute-rgt-neg-in_binary64`
567×	`distribute-lft-neg-in_binary64`
539×	`fma-neg_binary64`
367×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	18	216
2	43	216
3	99	216
4	268	216
5	900	216
6	1504	216
7	2688	216
8	3904	216
9	4771	216
10	5361	216
11	6105	216
12	7253	216

Stop Event

1×	node limit

Counts

37 → 15

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x y) x)
✓	0.9b	(.f64 (.f64 (*.f64 x y) x) y)
✓	1.6b	(.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x)
✓	7.7b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 62 to 19 computations (69.4% saved)

series9.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`log-prod_binary64`
505×	`fma-def_binary64`
312×	`pow2_binary64`
272×	`pow-unpow_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	245	37
2	3500	37

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

651×	`distribute-rgt-neg-in_binary64`
625×	`distribute-lft-neg-in_binary64`
584×	`associate-l_binary64`
459×	`fma-neg_binary64`
446×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	946
1	46	910
2	128	910
3	512	910
4	2595	910
5	4713	910
6	6783	910

Stop Event

1×	node limit

Counts

226 → 143

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
x
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))

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

localize26.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	5.9b	(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
✓	7.7b	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
✓	7.7b	(*.f64 y (neg.f64 (pow.f64 x 3)))

Compiler

Compiled 49 to 29 computations (40.8% saved)

series11.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 y (neg.f64 (pow.f64 x 3)))
1.0ms	x	@	inf	(*.f64 y (neg.f64 (pow.f64 x 3)))
1.0ms	x	@	0	(*.f64 y (neg.f64 (pow.f64 x 3)))
1.0ms	y	@	inf	(*.f64 y (neg.f64 (pow.f64 x 3)))
1.0ms	x	@	inf	(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))

rewrite78.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
345×	`prod-diff_binary64`
306×	`pow-unpow_binary64`
288×	`pow2_binary64`
273×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	262	34
2	3547	34

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(*.f64 y (neg.f64 (pow.f64 x 3)))
(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) (pow.f64 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 y (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 y)) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (pow.f64 x 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 3) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 2) (pow.f64 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (*.f64 y y)) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (pow.f64 x 3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x 3)) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 3) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y y) 2) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (pow.f64 x 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 x 3)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 y (pow.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 y (pow.f64 x 3/2)))) 1))))))

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg_binary64`
497×	`difference-of-squares_binary64`
488×	`cancel-sign-sub-inv_binary64`
430×	`unswap-sqr_binary64`
302×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	1002
1	125	980
2	388	962
3	1812	962
4	5650	946

Stop Event

1×	node limit

Counts

177 → 123

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 y 5) (pow.f64 x 6)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 y))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 2) x)) x)) (/.f64 1 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 y))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 2) x)) x)) (/.f64 1 y))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 y 5) (pow.f64 x 6)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 y))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 2) x)) x)) (/.f64 1 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 y))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 2) x)) x)) (/.f64 1 y))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))

Outputs
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 y (pow.f64 x 3)))
(neg.f64 (*.f64 y (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) (neg.f64 y))
(*.f64 y (neg.f64 (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 y y)) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 y (*.f64 y (pow.f64 x 3))))
(.f64 (.f64 y y) (-.f64 (*.f64 y (pow.f64 x 4)) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (-.f64 (.f64 x (pow.f64 y 3)) (*.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(fma.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 y y)) (.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (-.f64 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 y (.f64 y (pow.f64 x 3)))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(-.f64 (.f64 (.f64 y y) (-.f64 (.f64 y (pow.f64 x 4)) (pow.f64 x 3))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(fma.f64 y (.f64 y (-.f64 (.f64 y (pow.f64 x 4)) (pow.f64 x 3))) (*.f64 (pow.f64 y 4) (neg.f64 (pow.f64 x 5))))
(-.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 x (pow.f64 y 3)) (.f64 y y))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 y 5) (pow.f64 x 6)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(fma.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 y y)) (.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(-.f64 (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (-.f64 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 y (.f64 y (pow.f64 x 3))))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(-.f64 (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (.f64 (.f64 y y) (-.f64 (.f64 y (pow.f64 x 4)) (pow.f64 x 3)))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(fma.f64 (pow.f64 y 4) (neg.f64 (pow.f64 x 5)) (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (.f64 (.f64 y y) (-.f64 (*.f64 y (pow.f64 x 4)) (pow.f64 x 3)))))
(-.f64 (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (.f64 (pow.f64 x 3) (-.f64 (.f64 x (pow.f64 y 3)) (.f64 y y)))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 y (neg.f64 (.f64 x x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(-.f64 x (.f64 x (.f64 y x)))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 y))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 1 y))
(fma.f64 (neg.f64 y) (*.f64 x x) (+.f64 x (/.f64 -1 y)))
(-.f64 x (+.f64 (.f64 x (.f64 y x)) (/.f64 1 y)))
(+.f64 x (fma.f64 y (neg.f64 (*.f64 x x)) (/.f64 -1 y)))
(-.f64 x (fma.f64 y (*.f64 x x) (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 2) x)) x)) (/.f64 1 y))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) (+.f64 x (/.f64 1 (.f64 x (.f64 y y))))) (/.f64 1 y))
(+.f64 (+.f64 (-.f64 x (.f64 y (.f64 x x))) (/.f64 1 (.f64 y (.f64 y x)))) (/.f64 -1 y))
(+.f64 x (+.f64 (/.f64 1 (.f64 y (.f64 y x))) (fma.f64 y (*.f64 x (neg.f64 x)) (/.f64 -1 y))))
(+.f64 x (+.f64 (/.f64 1 (.f64 y (.f64 y x))) (fma.f64 y (neg.f64 (*.f64 x x)) (/.f64 -1 y))))
(-.f64 x (-.f64 (fma.f64 y (.f64 x x) (/.f64 1 y)) (/.f64 (/.f64 1 x) (.f64 y y))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 y (neg.f64 (.f64 x x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(-.f64 x (.f64 x (.f64 y x)))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 y))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 1 y))
(fma.f64 (neg.f64 y) (*.f64 x x) (+.f64 x (/.f64 -1 y)))
(-.f64 x (+.f64 (.f64 x (.f64 y x)) (/.f64 1 y)))
(+.f64 x (fma.f64 y (neg.f64 (*.f64 x x)) (/.f64 -1 y)))
(-.f64 x (fma.f64 y (*.f64 x x) (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 2) x)) x)) (/.f64 1 y))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) (+.f64 x (/.f64 1 (.f64 x (.f64 y y))))) (/.f64 1 y))
(+.f64 (+.f64 (-.f64 x (.f64 y (.f64 x x))) (/.f64 1 (.f64 y (.f64 y x)))) (/.f64 -1 y))
(+.f64 x (+.f64 (/.f64 1 (.f64 y (.f64 y x))) (fma.f64 y (*.f64 x (neg.f64 x)) (/.f64 -1 y))))
(+.f64 x (+.f64 (/.f64 1 (.f64 y (.f64 y x))) (fma.f64 y (neg.f64 (*.f64 x x)) (/.f64 -1 y))))
(-.f64 x (-.f64 (fma.f64 y (.f64 x x) (/.f64 1 y)) (/.f64 (/.f64 1 x) (.f64 y y))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 y y)) (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 y (*.f64 y (pow.f64 x 3))))
(.f64 (.f64 y y) (-.f64 (*.f64 y (pow.f64 x 4)) (pow.f64 x 3)))
(.f64 (pow.f64 x 3) (-.f64 (.f64 x (pow.f64 y 3)) (*.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 (pow.f64 y 3) (pow.f64 x 4))))
(fma.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 y y)) (.f64 (pow.f64 y 3) (pow.f64 x 4))))
(-.f64 (-.f64 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 y (.f64 y (pow.f64 x 3)))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(-.f64 (.f64 (.f64 y y) (-.f64 (.f64 y (pow.f64 x 4)) (pow.f64 x 3))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(fma.f64 y (.f64 y (-.f64 (.f64 y (pow.f64 x 4)) (pow.f64 x 3))) (*.f64 (pow.f64 y 4) (neg.f64 (pow.f64 x 5))))
(-.f64 (.f64 (pow.f64 x 3) (-.f64 (.f64 x (pow.f64 y 3)) (.f64 y y))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 y 5) (pow.f64 x 6)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(fma.f64 -1 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (fma.f64 -1 (.f64 (pow.f64 x 3) (.f64 y y)) (.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(-.f64 (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (-.f64 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 y (.f64 y (pow.f64 x 3))))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(-.f64 (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (.f64 (.f64 y y) (-.f64 (.f64 y (pow.f64 x 4)) (pow.f64 x 3)))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(fma.f64 (pow.f64 y 4) (neg.f64 (pow.f64 x 5)) (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (.f64 (.f64 y y) (-.f64 (*.f64 y (pow.f64 x 4)) (pow.f64 x 3)))))
(-.f64 (fma.f64 (pow.f64 y 5) (pow.f64 x 6) (.f64 (pow.f64 x 3) (-.f64 (.f64 x (pow.f64 y 3)) (.f64 y y)))) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 y (neg.f64 (.f64 x x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(-.f64 x (.f64 x (.f64 y x)))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 y))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 1 y))
(fma.f64 (neg.f64 y) (*.f64 x x) (+.f64 x (/.f64 -1 y)))
(-.f64 x (+.f64 (.f64 x (.f64 y x)) (/.f64 1 y)))
(+.f64 x (fma.f64 y (neg.f64 (*.f64 x x)) (/.f64 -1 y)))
(-.f64 x (fma.f64 y (*.f64 x x) (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 2) x)) x)) (/.f64 1 y))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) (+.f64 x (/.f64 1 (.f64 x (.f64 y y))))) (/.f64 1 y))
(+.f64 (+.f64 (-.f64 x (.f64 y (.f64 x x))) (/.f64 1 (.f64 y (.f64 y x)))) (/.f64 -1 y))
(+.f64 x (+.f64 (/.f64 1 (.f64 y (.f64 y x))) (fma.f64 y (*.f64 x (neg.f64 x)) (/.f64 -1 y))))
(+.f64 x (+.f64 (/.f64 1 (.f64 y (.f64 y x))) (fma.f64 y (neg.f64 (*.f64 x x)) (/.f64 -1 y))))
(-.f64 x (-.f64 (fma.f64 y (.f64 x x) (/.f64 1 y)) (/.f64 (/.f64 1 x) (.f64 y y))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 x (neg.f64 y)))
(.f64 y (neg.f64 (.f64 x x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 y (.f64 x x)) x)
(-.f64 x (.f64 y (.f64 x x)))
(-.f64 x (.f64 x (.f64 y x)))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 y))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 1 y))
(fma.f64 (neg.f64 y) (*.f64 x x) (+.f64 x (/.f64 -1 y)))
(-.f64 x (+.f64 (.f64 x (.f64 y x)) (/.f64 1 y)))
(+.f64 x (fma.f64 y (neg.f64 (*.f64 x x)) (/.f64 -1 y)))
(-.f64 x (fma.f64 y (*.f64 x x) (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 y 2) x)) x)) (/.f64 1 y))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) (+.f64 x (/.f64 1 (.f64 x (.f64 y y))))) (/.f64 1 y))
(+.f64 (+.f64 (-.f64 x (.f64 y (.f64 x x))) (/.f64 1 (.f64 y (.f64 y x)))) (/.f64 -1 y))
(+.f64 x (+.f64 (/.f64 1 (.f64 y (.f64 y x))) (fma.f64 y (*.f64 x (neg.f64 x)) (/.f64 -1 y))))
(+.f64 x (+.f64 (/.f64 1 (.f64 y (.f64 y x))) (fma.f64 y (neg.f64 (*.f64 x x)) (/.f64 -1 y))))
(-.f64 x (-.f64 (fma.f64 y (.f64 x x) (/.f64 1 y)) (/.f64 (/.f64 1 x) (.f64 y y))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(neg.f64 (.f64 (pow.f64 x 3) (.f64 y y)))
(.f64 (pow.f64 x 3) (.f64 (neg.f64 y) y))
(.f64 y (.f64 (pow.f64 x 3) (neg.f64 y)))
(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (fma.f64 x y 1))
	0.3b	(pow.f64 (*.f64 x y) 2)
✓	5.3b	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))

Compiler

Compiled 56 to 32 computations (42.9% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
1.0ms	x	@	0	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
1.0ms	y	@	inf	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
1.0ms	y	@	-inf	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
1.0ms	x	@	inf	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`log-prod_binary64`
424×	`pow-prod-down_binary64`
313×	`prod-diff_binary64`
292×	`pow2_binary64`
221×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	271	28
2	3332	28

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
(/.f64 x (fma.f64 x y 1))

Outputs

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simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-def_binary64`
483×	`difference-of-squares_binary64`
460×	`associate-/r*_binary64`
414×	`unswap-sqr_binary64`
410×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	758
1	110	732
2	329	730
3	1493	718
4	6077	718

Stop Event

1×	node limit

Counts

190 → 158

Calls

Call 1

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

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

eval225.0ms (3.7%)

Compiler: Compiled 11247 to 6851 computations (39.1% saved)

prune111.0ms (1.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	598	2	600
Fresh	2	0	2
Picked	1	0	1
Done	1	9	10
Total	602	11	613

Error

Counts

613 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.1b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))
✓	39.0b	(.f64 x (.f64 y (neg.f64 x)))
	23.5b	x
	0.2b	(.f64 x (+.f64 1 (.f64 (+.f64 (.f64 -1/3 y) (.f64 -2/3 y)) x)))
✓	10.7b	(-.f64 x (.f64 y (.f64 x x)))
✓	51.6b	(.f64 -1 (pow.f64 (.f64 x (sqrt.f64 y)) 2))
✓	5.6b	(.f64 x (/.f64 (-.f64 1 (.f64 (.f64 y x) (.f64 y x))) (-.f64 1 (*.f64 x (neg.f64 y)))))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
✓	45.7b	(.f64 (.f64 x x) (neg.f64 y))
✓	54.2b	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
✓	0.1b	(-.f64 x (.f64 x (.f64 x y)))

Compiler

Compiled 126 to 81 computations (35.7% saved)

regimes44.0ms (0.7%)

Counts

25 → 1

Calls

Call 1

Inputs
x
x
x
x
(.f64 (.f64 x x) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 x)))
(-.f64 x (.f64 y (.f64 x x)))
(-.f64 x (.f64 x (.f64 x y)))
(.f64 x (-.f64 1 (.f64 x y)))
(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))
(.f64 x (+.f64 1 (.f64 (+.f64 (.f64 -1/3 y) (.f64 -2/3 y)) x)))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))
(.f64 x (/.f64 (-.f64 1 (.f64 (.f64 y x) (.f64 y x))) (-.f64 1 (*.f64 x (neg.f64 y)))))
(.f64 x (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 1 (*.f64 x (neg.f64 y)))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
(.f64 -1 (pow.f64 (.f64 x (sqrt.f64 y)) 2))
(.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) 3))
(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
(.f64 x (fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1))
(.f64 x (fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1))

Outputs
(-.f64 x (.f64 x (.f64 x y)))

Calls

3 calls:

12.0ms	x
12.0ms	(.f64 x (-.f64 1 (.f64 x y)))
12.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(.f64 x (-.f64 1 (.f64 x y)))`

Compiler

Compiled 262 to 136 computations (48.1% saved)

regimes42.0ms (0.7%)

Counts

8 → 4

Calls

Call 1

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

Outputs
(.f64 x (.f64 y (neg.f64 x)))
(-.f64 x (.f64 y (.f64 x x)))
x
(-.f64 x (.f64 y (.f64 x x)))

Calls

2 calls:

21.0ms	x
19.0ms	y

Results

Error	Segments	Branch
6.3b	3	`x`
6.2b	4	`y`

Compiler

Compiled 37 to 16 computations (56.8% saved)

bsearch242.0ms (4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
206.0ms	1.0792723869124901e-67	4.7435965069079525e-66
31.0ms	-2.05598204088728e-131	-5.439851217653448e-137
5.0ms	-1.5994056024030283e+233	-7.214046653016885e+223

Compiler

Compiled 131 to 85 computations (35.1% saved)

regimes124.0ms (2.1%)

Counts

7 → 7

Calls

Call 1

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

Outputs
(.f64 x (.f64 y (neg.f64 x)))
x
(.f64 x (.f64 y (neg.f64 x)))
x
(.f64 x (.f64 y (neg.f64 x)))
x
(.f64 x (.f64 y (neg.f64 x)))

Calls

2 calls:

75.0ms	y
47.0ms	x

Results

Error	Segments	Branch
18.5b	5	`x`
11.1b	7	`y`

Compiler

Compiled 30 to 14 computations (53.3% saved)

bsearch336.0ms (5.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
31.0ms	4.793417143056726e+91	1.727881762656996e+99
18.0ms	2.6227415065677108e+67	4.866368082159951e+67
71.0ms	198942715.52008694	3886356686.0190663
24.0ms	-3.2439940988627644e-68	-4.722721618814058e-69
150.0ms	-7.799334299543204e+36	-1.7325885583881224e+21
41.0ms	-5.9791387851406255e+137	-6.245420177417179e+134

Compiler

Compiled 508 to 352 computations (30.7% saved)

regimes108.0ms (1.8%)

Counts

5 → 7

Calls

Call 1

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

Outputs
(.f64 (.f64 x x) (neg.f64 y))
x
(.f64 (.f64 x x) (neg.f64 y))
x
(.f64 (.f64 x x) (neg.f64 y))
x
(.f64 (.f64 x x) (neg.f64 y))

Calls

2 calls:

73.0ms	x
33.0ms	y

Results

Error	Segments	Branch
19.7b	5	`x`
13.9b	7	`y`

Compiler

Compiled 18 to 9 computations (50% saved)

bsearch368.0ms (6.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
47.0ms	4.793417143056726e+91	1.727881762656996e+99
17.0ms	2.6227415065677108e+67	4.866368082159951e+67
41.0ms	198942715.52008694	3886356686.0190663
62.0ms	-2.750759389779098e-13	-2.1572072293482496e-18
172.0ms	-7.799334299543204e+36	-1.7325885583881224e+21
29.0ms	-5.9791387851406255e+137	-6.245420177417179e+134

Compiler

Compiled 625 to 433 computations (30.7% saved)

regimes12.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
x
x
x

Outputs
x

Calls

2 calls:

7.0ms	x
4.0ms	y

Results

Error	Segments	Branch
23.5b	1	`x`
23.5b	1	`y`

Compiler

Compiled 12 to 6 computations (50% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	209
1	73	209
2	93	209
3	105	209
4	110	209
5	111	209

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 x (.f64 x y)))
(if (<=.f64 y -100000000000000009956644432600511718615881550253707240288894882888289682097749535512827356959114607773492443453354095454801046151441888338236034913910900102616284254148427024265175655196680942530570909289367345315883616691581616128) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y -1026921432898493/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 x (.f64 y (.f64 x x))) (if (<=.f64 y 4458273336650843/948568795032094272909893509191171341133987714380927500611236528192824358010355712) x (-.f64 x (.f64 y (.f64 x x))))))
(if (<=.f64 y -590000000000000035902921088387121360400220114971446896062381995599691216186504799231105557128142819113260468815632358181182910099768737792) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y -1750000000000000000000) x (if (<=.f64 y -7877508028030661/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y 3850000000) x (if (<=.f64 y 26499999999999999767011209767868523776771414925510542357380678549504) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y 1699999999999999920188125814176761779050932580577157970930449536949458922419282244698554211309191168) x (.f64 x (.f64 y (neg.f64 x)))))))))
(if (<=.f64 y -590000000000000035902921088387121360400220114971446896062381995599691216186504799231105557128142819113260468815632358181182910099768737792) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 y -1750000000000000000000) x (if (<=.f64 y -5347900969712843/19807040628566084398385987584) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 y 3850000000) x (if (<=.f64 y 26499999999999999767011209767868523776771414925510542357380678549504) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 y 1699999999999999920188125814176761779050932580577157970930449536949458922419282244698554211309191168) x (.f64 (.f64 x x) (neg.f64 y))))))))
x

Outputs
(-.f64 x (.f64 x (.f64 x y)))
(if (<=.f64 y -100000000000000009956644432600511718615881550253707240288894882888289682097749535512827356959114607773492443453354095454801046151441888338236034913910900102616284254148427024265175655196680942530570909289367345315883616691581616128) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y -1026921432898493/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 x (.f64 y (.f64 x x))) (if (<=.f64 y 4458273336650843/948568795032094272909893509191171341133987714380927500611236528192824358010355712) x (-.f64 x (.f64 y (.f64 x x))))))
(if (<=.f64 y -100000000000000009956644432600511718615881550253707240288894882888289682097749535512827356959114607773492443453354095454801046151441888338236034913910900102616284254148427024265175655196680942530570909289367345315883616691581616128) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y -1026921432898493/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816) (-.f64 x (.f64 y (.f64 x x))) (if (<=.f64 y 4458273336650843/948568795032094272909893509191171341133987714380927500611236528192824358010355712) x (-.f64 x (.f64 y (.f64 x x))))))
(if (<=.f64 y -590000000000000035902921088387121360400220114971446896062381995599691216186504799231105557128142819113260468815632358181182910099768737792) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y -1750000000000000000000) x (if (<=.f64 y -7877508028030661/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y 3850000000) x (if (<=.f64 y 26499999999999999767011209767868523776771414925510542357380678549504) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y 1699999999999999920188125814176761779050932580577157970930449536949458922419282244698554211309191168) x (.f64 x (.f64 y (neg.f64 x)))))))))
(if (<=.f64 y -590000000000000035902921088387121360400220114971446896062381995599691216186504799231105557128142819113260468815632358181182910099768737792) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y -1750000000000000000000) x (if (<=.f64 y -7877508028030661/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 3850000000) x (if (<=.f64 y 26499999999999999767011209767868523776771414925510542357380678549504) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 1699999999999999920188125814176761779050932580577157970930449536949458922419282244698554211309191168) x (.f64 x (.f64 x (neg.f64 y)))))))))
(if (<=.f64 y -590000000000000035902921088387121360400220114971446896062381995599691216186504799231105557128142819113260468815632358181182910099768737792) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 y -1750000000000000000000) x (if (<=.f64 y -5347900969712843/19807040628566084398385987584) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 y 3850000000) x (if (<=.f64 y 26499999999999999767011209767868523776771414925510542357380678549504) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 y 1699999999999999920188125814176761779050932580577157970930449536949458922419282244698554211309191168) x (.f64 (.f64 x x) (neg.f64 y))))))))
x

Compiler

Compiled 153 to 70 computations (54.2% saved)

soundness0.0ms (0%)

end254.0ms (4.2%)

Compiler: Compiled 145 to 57 computations (60.7% saved)

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	162	10
5	239	10
6	327	10
7	431	10
8	672	10
9	717	10
10	749	10

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	162	10
5	239	10
6	327	10
7	431	10
8	672	10
9	717	10
10	749	10

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	162	10
5	239	10
6	327	10
7	431	10
8	672	10
9	717	10
10	749	10