Details

analyze189.0ms (7.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	72.5%	2.5%	9
34.3%	59.3%	6.4%	10
40.6%	51.3%	8.1%	11
46.8%	43%	10.2%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (47.8%)

Results

1.1s	8256×	body	256	valid
137.0ms	1165×	body	256	invalid

preprocess112.0ms (4.2%)

Algorithm

2×	egg-herbie

Rules

855×	`fma-neg_binary64`
384×	`fma-def_binary64`
156×	`unsub-neg_binary64`
141×	`distribute-rgt-in_binary64`
108×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	31	32
2	73	32
3	176	32
4	317	32
5	653	32
6	1268	32
7	2004	32
8	2733	32
9	2896	32
10	2924	32
11	2924	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

274×	`fma-def_binary64`
247×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
54×	`distribute-rgt-in_binary64`
40×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	52	8
4	100	8
5	171	8
6	281	8
7	480	8
8	871	8
9	1107	8
10	1207	8
11	1214	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize15.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series9.0ms (0.4%)

Counts

1 → 24

Calls

9 calls:

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

rewrite85.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify78.0ms (3%)

Algorithm

1×	egg-herbie

Rules

646×	`log-prod_binary64`
617×	`fma-def_binary64`
370×	`associate-l_binary64`
328×	`associate-r_binary64`
244×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	327
1	161	327
2	511	327
3	3082	327
4	6406	327

Stop Event

1×	node limit

Counts

43 → 28

Calls

Call 1

Inputs
(.f64 -1 (.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z y) (.f64 (neg.f64 x) y))
(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 y (-.f64 z x))) 1)
(/.f64 (.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (.f64 x (+.f64 z x))))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) y) (+.f64 z x))
(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (.f64 x (+.f64 z x))))
(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
(pow.f64 (*.f64 y (-.f64 z x)) 1)
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 z x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 z x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))

Outputs
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 z y) (.f64 (neg.f64 x) y))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 1 (*.f64 y (-.f64 z x))) 1)
(*.f64 y (-.f64 z x))
(/.f64 (.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (.f64 x (+.f64 z x))))
(/.f64 y (/.f64 (fma.f64 z z (*.f64 x (+.f64 x z))) (-.f64 (pow.f64 z 3) (pow.f64 x 3))))
(.f64 (/.f64 y (fma.f64 z z (.f64 x (+.f64 x z)))) (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
(.f64 y (/.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x z) (.f64 z z))))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) y) (+.f64 z x))
(*.f64 y (-.f64 z x))
(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (.f64 x (+.f64 z x))))
(/.f64 y (/.f64 (fma.f64 z z (*.f64 x (+.f64 x z))) (-.f64 (pow.f64 z 3) (pow.f64 x 3))))
(.f64 (/.f64 y (fma.f64 z z (.f64 x (+.f64 x z)))) (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
(.f64 y (/.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x z) (.f64 z z))))
(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
(*.f64 y (-.f64 z x))
(pow.f64 (*.f64 y (-.f64 z x)) 1)
(*.f64 y (-.f64 z x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)
(*.f64 y (-.f64 z x))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)
(*.f64 y (-.f64 z x))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
(*.f64 y (-.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))
(*.f64 y (-.f64 z x))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))
(*.f64 y (-.f64 z x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))
(*.f64 y (-.f64 z x))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 z x) 3)))
(*.f64 y (-.f64 z x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 z x) 3) (pow.f64 y 3)))
(*.f64 y (-.f64 z x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))

eval11.0ms (0.4%)

Compiler: Compiled 326 to 140 computations (57.1% saved)

prune10.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

Counts

29 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 x (*.f64 y (-.f64 z x)))
▶	11.7b	(+.f64 x (*.f64 y z))
▶	21.4b	(+.f64 x (*.f64 x (neg.f64 y)))

Compiler

Compiled 27 to 17 computations (37% saved)

localize20.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series7.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

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

rewrite122.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`pow1_binary64`
578×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
565×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	134	5
2	2008	5

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

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

Outputs

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

simplify71.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-neg_binary64`
562×	`div-sub_binary64`
557×	`associate-/l*_binary64`
380×	`associate-/r*_binary64`
217×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	777
1	258	670
2	939	577
3	5168	577

Stop Event

1×	node limit

Counts

66 → 68

Calls

Call 1

Inputs
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 -1 (.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (-.f64 y 1) x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(-.f64 x (*.f64 x y))
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(-.f64 (/.f64 (.f64 x x) (fma.f64 x y x)) (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 y 1))
(*.f64 x (-.f64 1 y))
(*.f64 (fma.f64 x y x) 1)
(*.f64 1 (fma.f64 x y x))
(*.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (cbrt.f64 (pow.f64 (fma.f64 x y x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y x) 2)) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y)))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (+.f64 y 1) x)
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y x) (pow.f64 (fma.f64 x y x) 2)))
(/.f64 (pow.f64 (fma.f64 x y x) 2) (fma.f64 x y x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x x) (.f64 x (*.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (*.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (neg.f64 (fma.f64 x y x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (-.f64 (*.f64 x y) x))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (log.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))

Outputs
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(-.f64 x (*.f64 x y))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(-.f64 (/.f64 (.f64 x x) (fma.f64 x y x)) (/.f64 (pow.f64 (.f64 x y) 2) (fma.f64 x y x)))
(-.f64 (/.f64 x (/.f64 (fma.f64 y x x) x)) (/.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x x)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 y x x)) (/.f64 (pow.f64 (.f64 y x) 2) (fma.f64 y x x)))
(*.f64 x (+.f64 1 y))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(*.f64 x (+.f64 y 1))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (fma.f64 x y x) 1)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(*.f64 1 (fma.f64 x y x))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(*.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(*.f64 (cbrt.f64 (fma.f64 x y x)) (cbrt.f64 (pow.f64 (fma.f64 x y x) 2)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y x) 2)) (cbrt.f64 (fma.f64 x y x)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 (.f64 x x) y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 y (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 (.f64 x x) (neg.f64 y) (pow.f64 (fma.f64 y x x) 2)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 y 1) x)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(/.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (.f64 x y))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 (.f64 x x) y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 y (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 (.f64 x x) (neg.f64 y) (pow.f64 (fma.f64 y x x) 2)))
(/.f64 1 (/.f64 (fma.f64 x y x) (pow.f64 (fma.f64 x y x) 2)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(/.f64 (pow.f64 (fma.f64 x y x) 2) (fma.f64 x y x))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (*.f64 x y))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 (.f64 x x) y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 y (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 (.f64 x x) (neg.f64 y) (pow.f64 (fma.f64 y x x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x x) (.f64 x (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (-.f64 x (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (-.f64 x (.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x (.f64 (-.f64 1 y) x) (pow.f64 (*.f64 y x) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (*.f64 x y)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 (.f64 x x) y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 y (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 (.f64 x x) (neg.f64 y) (pow.f64 (fma.f64 y x x) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (neg.f64 (fma.f64 x y x)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (fma.f64 x y x) 2) (.f64 x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 (*.f64 x x) y)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (-.f64 (pow.f64 (fma.f64 y x x) 2) (.f64 y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 x x) (neg.f64 y) (pow.f64 (fma.f64 y x x) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 x y (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (-.f64 (*.f64 y x) x))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 y y) -1)) (-.f64 (.f64 y x) x))
(pow.f64 (fma.f64 x y x) 1)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(log.f64 (exp.f64 (fma.f64 x y x)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(exp.f64 (log.f64 (fma.f64 x y x)))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(fma.f64 x y x)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(fma.f64 y x x)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 1 x (*.f64 x y))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(fma.f64 1 (*.f64 x y) x)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) x)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(+.f64 1 (-.f64 (fma.f64 y x x) 1))
(+.f64 (fma.f64 y x x) 0)
(fma.f64 y x x)

localize5.0ms (0.2%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

eval20.0ms (0.8%)

Compiler: Compiled 801 to 324 computations (59.6% saved)

prune21.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	66	5	71

Error

Counts

71 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.4b	(*.f64 (neg.f64 y) x)
✓	0b	(+.f64 x (*.f64 y (-.f64 z x)))
	32.3b	x
✓	11.7b	(+.f64 x (*.f64 y z))
▶	21.4b	(-.f64 x (*.f64 x y))

Compiler

Compiled 37 to 24 computations (35.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify79.0ms (3%)

Algorithm

1×	egg-herbie

Rules

895×	`fma-neg_binary64`
524×	`fma-def_binary64`
320×	`times-frac_binary64`
215×	`associate-/l*_binary64`
181×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	566
1	299	536
2	1158	536
3	5699	536

Stop Event

1×	node limit

Counts

62 → 49

Calls

Call 1

Inputs
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (.f64 (.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(.f64 (-.f64 x (.f64 x y)) 1)
(.f64 1 (-.f64 x (.f64 x y)))
(.f64 (cbrt.f64 (-.f64 x (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 x y))) 2) (cbrt.f64 (-.f64 x (*.f64 x y))))
(.f64 (sqrt.f64 (-.f64 x (.f64 x y))) (sqrt.f64 (-.f64 x (*.f64 x y))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 x y) (+.f64 x (*.f64 x y))))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 x (.f64 x y))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 x y) (+.f64 x (.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 x (.f64 x y)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x x (.f64 (.f64 x y) (+.f64 x (.f64 x y)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) 2)) (+.f64 x (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 x y) (+.f64 x (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 x (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 x (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 x (*.f64 x y)) 1)
(pow.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 x (*.f64 x y))))
(fma.f64 1 x (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))

Outputs
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 (.f64 x (neg.f64 y)) 1))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (-.f64 x (.f64 x y)) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 1 (-.f64 x (.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (cbrt.f64 (-.f64 x (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x (.f64 x y))) 2) (cbrt.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (sqrt.f64 (-.f64 x (.f64 x y))) (sqrt.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 x y) (+.f64 x (*.f64 x y))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) 1) (fma.f64 x x (.f64 (.f64 y x) (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 x (.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 x y) (+.f64 x (.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) 1) (fma.f64 x x (.f64 (.f64 y x) (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 1 (/.f64 (+.f64 x (.f64 x y)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x x (.f64 (.f64 x y) (+.f64 x (.f64 x y)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) 1) (fma.f64 x x (.f64 (.f64 y x) (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) 2)) (+.f64 x (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 x y) (+.f64 x (.f64 x y))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) 1) (fma.f64 x x (.f64 (.f64 y x) (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 x (*.f64 x (neg.f64 y))))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) 1) (fma.f64 x x (.f64 (.f64 y x) (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 y x) 3)) (.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (-.f64 x (*.f64 x y)) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3) 1/3)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 3)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) 2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(log.f64 (exp.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(exp.f64 (log.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(fma.f64 1 x (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))

localize8.0ms (0.3%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval15.0ms (0.6%)

Compiler: Compiled 584 to 190 computations (67.5% saved)

prune13.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	49	5	54

Error

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.4b	(*.f64 (neg.f64 y) x)
	32.3b	x
✓	0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	11.7b	(+.f64 x (*.f64 y z))
✓	21.4b	(-.f64 x (*.f64 x y))

Compiler

Compiled 37 to 24 computations (35.1% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.4b	(*.f64 (neg.f64 y) x)
	32.3b	x
✓	0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	11.7b	(+.f64 x (*.f64 y z))
✓	21.4b	(-.f64 x (*.f64 x y))

Compiler

Compiled 37 to 24 computations (35.1% saved)

regimes38.0ms (1.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
9.0ms	x
8.0ms	y
8.0ms	z

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 54 to 29 computations (46.3% saved)

regimes92.0ms (3.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	y
29.0ms	x
23.0ms	z

Results

Error	Segments	Branch
6.7b	3	`x`
9.0b	4	`y`
6.2b	3	`z`

Compiler

Compiled 37 to 20 computations (45.9% saved)

bsearch42.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	4.09202329706885e-95	9.40063379170106e-85
16.0ms	-3.8226676996030474e-106	-4.050486919522644e-107

Results

37.0ms

256×

body

256

valid

Compiler

Compiled 304 to 203 computations (33.2% saved)

regimes22.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	z
7.0ms	x
7.0ms	y

Results

Error	Segments	Branch
21.4b	1	`x`
21.4b	1	`y`
21.4b	1	`z`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes43.0ms (1.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
16.0ms	y
9.0ms	z

Results

Error	Segments	Branch
31.1b	3	`x`
22.0b	3	`y`
32.3b	1	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch37.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.766590029089347e-11	1.0567368533834896e-10
23.0ms	-970.2538576584302	-0.001407205723815409

Results

33.0ms

224×

body

256

valid

Compiler

Compiled 198 to 151 computations (23.7% saved)

regimes18.0ms (0.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

5.0ms	x
5.0ms	y
5.0ms	z

Results

Error	Segments	Branch
32.3b	1	`x`
32.3b	1	`y`
32.3b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	76
1	43	76
2	52	76
3	57	76
4	59	76

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -451893728665209/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (+.f64 x (.f64 y z)) (if (<=.f64 z 7365029539578741/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (-.f64 x (.f64 x y)) (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 x y))
(if (<=.f64 y -1) (.f64 (neg.f64 y) x) (if (<=.f64 y 2030995376952577/19342813113834066795298816) x (.f64 (neg.f64 y) x)))
x

Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -451893728665209/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (+.f64 x (.f64 y z)) (if (<=.f64 z 7365029539578741/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (-.f64 x (.f64 x y)) (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 x y))
(if (<=.f64 y -1) (.f64 (neg.f64 y) x) (if (<=.f64 y 2030995376952577/19342813113834066795298816) x (.f64 (neg.f64 y) x)))
(if (<=.f64 y -1) (.f64 x (neg.f64 y)) (if (<=.f64 y 2030995376952577/19342813113834066795298816) x (.f64 x (neg.f64 y))))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 2030995376952577/19342813113834066795298816) x (.f64 y (neg.f64 x))))
x

Compiler

Compiled 68 to 38 computations (44.1% saved)

soundness0.0ms (0%)

end57.0ms (2.2%)

Compiler: Compiled 56 to 24 computations (57.1% saved)

Details

analyze189.0ms (7.2%)

sample1.3s (47.8%)

preprocess112.0ms (4.2%)

simplify39.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize15.0ms (0.6%)

series9.0ms (0.4%)

rewrite85.0ms (3.2%)

simplify78.0ms (3%)

eval11.0ms (0.4%)

prune10.0ms (0.4%)

localize20.0ms (0.8%)

series7.0ms (0.3%)

rewrite122.0ms (4.6%)

simplify71.0ms (2.7%)

localize5.0ms (0.2%)

eval20.0ms (0.8%)

prune21.0ms (0.8%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite69.0ms (2.6%)

simplify79.0ms (3%)

localize8.0ms (0.3%)

eval15.0ms (0.6%)

prune13.0ms (0.5%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes38.0ms (1.4%)

regimes92.0ms (3.5%)

bsearch42.0ms (1.6%)

regimes22.0ms (0.8%)

regimes43.0ms (1.6%)

bsearch37.0ms (1.4%)

regimes18.0ms (0.7%)

simplify9.0ms (0.3%)

soundness0.0ms (0%)

end57.0ms (2.2%)

Profiling