Metrics for Expanding a square

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.2s (37.5%)

Results

455.0ms	2117×	body	1024	valid
305.0ms	2889×	body	256	valid
213.0ms	2062×	body	256	infinite
144.0ms	996×	body	512	valid
46.0ms	192×	body	2048	valid

Bogosity

preprocess465.0ms (14.5%)

Algorithm

1×	egg-herbie

Rules

5558×	`fma-neg`
2282×	`unsub-neg`
820×	`distribute-neg-in`
702×	`sub-neg`
576×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	43	59
2	118	43
3	365	39
4	1816	39
5	3230	39
6	4275	39
7	5101	39
8	5607	39
9	5857	39
10	5859	39
11	5859	39
12	5975	39
13	6030	39
14	6033	39
15	6033	39

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1)

Outputs
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
(*.f64 (+.f64 x 2) (+.f64 x 0))
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
(*.f64 (+.f64 x 2) (+.f64 x 0))
(*.f64 x (+.f64 x 2))
(-.f64 (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) 1)) 1)
(fma.f64 (+.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)) -1)
(fma.f64 (-.f64 1 x) (-.f64 1 x) -1)
(*.f64 (neg.f64 x) (-.f64 2 x))
(*.f64 x (+.f64 x -2))

Compiler

Compiled 10 to 8 computations (20% saved)

eval1.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
▶	100.0%	(*.f64 x (+.f64 x 2))
▶	57.2%	(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
▶	100.0%	(*.f64 x (+.f64 x 2))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize48.0ms (1.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	57.2%	(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
✓	100.0%	(*.f64 x (+.f64 x 2))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`unpow-prod-down`
918×	`log-prod`
616×	`pow-prod-down`
512×	`fma-def`
454×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	233	32
2	2823	32

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(*.f64 x (+.f64 x 2))
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)

Outputs
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (.f64 x x) (.f64 x 2))
(+.f64 (.f64 x x) (.f64 (*.f64 x 2) 1))
(+.f64 (.f64 x 2) (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(/.f64 (+.f64 (pow.f64 x 6) (.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (.f64 (.f64 x x) (*.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (.f64 x x) (*.f64 x 2)))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(log.f64 (.f64 (exp.f64 (.f64 x 2)) (exp.f64 (*.f64 x x))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))
(fma.f64 (.f64 x x) 1 (.f64 (*.f64 x 2) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(+.f64 -1 (pow.f64 (+.f64 x 1) 2))
(+.f64 0 (*.f64 (+.f64 (+.f64 x 1) 1) x))
(+.f64 (pow.f64 (+.f64 x 1) 2) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 1)
(.f64 1 (.f64 (+.f64 (+.f64 x 1) 1) x))
(.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 1)
(.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 2) (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(*.f64 (+.f64 (+.f64 x 1) 1) x)
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (+.f64 x 1) 1) x))
(*.f64 (pow.f64 (+.f64 (+.f64 x 1) 1) 1) x)
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3/2) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2) 1/3) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 5/2) 1/3) (pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 6) -1) (+.f64 (pow.f64 (+.f64 x 1) 4) (-.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 2) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) 1) (-.f64 (pow.f64 (+.f64 x 1) 2) -1))
(pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))

simplify79.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1234×	`fma-def`
1126×	`log-prod`
950×	`distribute-lft-in`
898×	`distribute-rgt-in`
480×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	1989
1	582	1903
2	1639	1875
3	7056	1831

Stop Event

1×	node limit

Counts

113 → 123

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(+.f64 (.f64 x x) (.f64 x 2))
(+.f64 (.f64 x x) (.f64 (*.f64 x 2) 1))
(+.f64 (.f64 x 2) (.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(/.f64 (+.f64 (pow.f64 x 6) (.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (.f64 (.f64 x x) (*.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (.f64 x x) (*.f64 x 2)))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(log.f64 (.f64 (exp.f64 (.f64 x 2)) (exp.f64 (*.f64 x x))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))
(fma.f64 (.f64 x x) 1 (.f64 (*.f64 x 2) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(+.f64 -1 (pow.f64 (+.f64 x 1) 2))
(+.f64 0 (*.f64 (+.f64 (+.f64 x 1) 1) x))
(+.f64 (pow.f64 (+.f64 x 1) 2) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 1)
(.f64 1 (.f64 (+.f64 (+.f64 x 1) 1) x))
(.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 1)
(.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 2) (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(*.f64 (+.f64 (+.f64 x 1) 1) x)
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (+.f64 x 1) 1) x))
(*.f64 (pow.f64 (+.f64 (+.f64 x 1) 1) 1) x)
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3/2) 1/3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2) 1/3) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 5/2) 1/3) (pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 6) -1) (+.f64 (pow.f64 (+.f64 x 1) 4) (-.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 2) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) 1) (-.f64 (pow.f64 (+.f64 x 1) 2) -1))
(pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 0 (*.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x x) (.f64 (*.f64 x 2) 1))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))
(*.f64 x (+.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (.f64 (.f64 x x) (*.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 2 x) 2) (*.f64 (pow.f64 x 3) 2))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (+.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 (+.f64 x x) (*.f64 x (-.f64 2 x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (.f64 x x) (*.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 2 x) 2)) (.f64 x (-.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 x (/.f64 (-.f64 (fma.f64 x x 4) (*.f64 2 x)) (+.f64 8 (pow.f64 x 3))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 (fma.f64 x x 4) (*.f64 x -2)))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x -2 (fma.f64 x x 4)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 4) (.f64 x 2)))
(/.f64 x (/.f64 (-.f64 (fma.f64 x x 4) (*.f64 2 x)) (+.f64 8 (pow.f64 x 3))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 (fma.f64 x x 4) (*.f64 x -2)))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x -2 (fma.f64 x x 4)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) 1/2)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 x (+.f64 2 x))
(log.f64 (.f64 (exp.f64 (.f64 x 2)) (exp.f64 (*.f64 x x))))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1) 1))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x 2)))) 3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3)) 1/3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x 2)))) 2))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 x x) 1 (.f64 (*.f64 x 2) 1))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 2 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (+.f64 x x))
(fma.f64 2 x (*.f64 (pow.f64 x 3/2) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 2))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 2 x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (+.f64 x x))
(fma.f64 2 x (*.f64 (pow.f64 x 3/2) (sqrt.f64 x)))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 -1 (pow.f64 (+.f64 x 1) 2))
(*.f64 x (+.f64 2 x))
(+.f64 0 (*.f64 (+.f64 (+.f64 x 1) 1) x))
(*.f64 x (+.f64 2 x))
(+.f64 (pow.f64 (+.f64 x 1) 2) -1)
(*.f64 x (+.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)))))
(*.f64 x (+.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 1)
(*.f64 x (+.f64 2 x))
(.f64 1 (.f64 (+.f64 (+.f64 x 1) 1) x))
(*.f64 x (+.f64 2 x))
(.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 1)
(*.f64 x (+.f64 2 x))
(.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 2))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 2) (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(*.f64 x (+.f64 2 x))
(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(*.f64 x (+.f64 2 x))
(*.f64 (+.f64 (+.f64 x 1) 1) x)
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (+.f64 x 1) 1) x))
(*.f64 x (+.f64 2 x))
(*.f64 (pow.f64 (+.f64 (+.f64 x 1) 1) 1) x)
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3/2) 1/6) 4)
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3)) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3/2) 1/6) 4)
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2) 1/3) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 2 x)))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (+.f64 2 x)) (cbrt.f64 (*.f64 x (+.f64 2 x)))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 2 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 4) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 2 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 8)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (+.f64 x 1) 1) x) 5/2) 1/3) (pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 2 x)))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 5/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 6) -1) (+.f64 (pow.f64 (+.f64 x 1) 4) (-.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 6)) (+.f64 (pow.f64 (+.f64 x 1) 4) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 6)) (-.f64 1 (-.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (+.f64 x 1) 4))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 6)) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 4) 1) (-.f64 (pow.f64 (+.f64 x 1) 2) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 4) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 4)) (+.f64 1 (pow.f64 (+.f64 x 1) 2)))
(pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 2) 1/2)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 2)
(*.f64 x (+.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(*.f64 x (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (+.f64 x 1) 1) x)) 1))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)) 1) 1))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x))) 1/3))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 x 1) 1) x))) 2))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 x 1) 1) x)))
(*.f64 x (+.f64 2 x))

eval33.0ms (1%)

Compiler: Compiled 1558 to 1128 computations (27.6% saved)

prune21.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	120	5	125

Accuracy

100.0%

Counts

125 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (*.f64 x 2))
▶	100.0%	(+.f64 (.f64 x x) (.f64 x 2))
▶	48.2%	(+.f64 x x)
✓	100.0%	(*.f64 x (+.f64 x 2))
▶	52.5%	(*.f64 x x)
▶	100.0%	(fma.f64 x x (*.f64 x 2))
▶	100.0%	(+.f64 (.f64 x x) (.f64 x 2))
▶	48.2%	(+.f64 x x)
✓	100.0%	(*.f64 x (+.f64 x 2))
▶	52.5%	(*.f64 x x)

Compiler

Compiled 58 to 34 computations (41.4% saved)

localize40.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x x) (.f64 x 2))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`pow1`
1474×	`add-exp-log`
1472×	`log1p-expm1-u`
1472×	`expm1-log1p-u`
1448×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2056	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 x 2))

Outputs
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x 2))) (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 x 2))))
(*.f64 x (+.f64 x 2))
(.f64 (.f64 x (+.f64 x 2)) 1)
(.f64 1 (.f64 x (+.f64 x 2)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (/.f64 1 (.f64 x (-.f64 x 2))))
(*.f64 (+.f64 x 2) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))) (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (.f64 (*.f64 x x) 4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (*.f64 x (-.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 x 2))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-neg`
928×	`div-sub`
820×	`times-frac`
632×	`fma-def`
580×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1157
1	284	1107
2	995	981
3	5227	981

Stop Event

1×	node limit

Counts

51 → 55

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x 2))) (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 x 2))))
(*.f64 x (+.f64 x 2))
(.f64 (.f64 x (+.f64 x 2)) 1)
(.f64 1 (.f64 x (+.f64 x 2)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (/.f64 1 (.f64 x (-.f64 x 2))))
(*.f64 (+.f64 x 2) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))) (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (.f64 (*.f64 x x) 4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (*.f64 x (-.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 x 2))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 2 x))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x 2))) (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(.f64 (.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(.f64 1 (.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x (.f64 x 4)) (*.f64 2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (/.f64 1 (.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(*.f64 (+.f64 x 2) x)
(*.f64 x (+.f64 2 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))) (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x (.f64 x 4)) (*.f64 2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (.f64 (*.f64 x x) 4))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x (.f64 x 4)) (*.f64 2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x (.f64 x 4)) (*.f64 2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (*.f64 x (-.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 x (.f64 x 4)) (*.f64 2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) 4)) (.f64 x (+.f64 x -2)))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (exp.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (+.f64 x x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))

eval13.0ms (0.4%)

Compiler: Compiled 671 to 447 computations (33.4% saved)

prune8.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	55	5	60

Accuracy

100.0%

Counts

60 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (*.f64 x 2))
✓	100.0%	(+.f64 (.f64 x x) (.f64 x 2))
✓	48.2%	(+.f64 x x)
✓	100.0%	(*.f64 x (+.f64 x 2))
✓	52.5%	(*.f64 x x)

Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes119.0ms (3.7%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(+.f64 x x)
(*.f64 x (+.f64 x 2))
(+.f64 (.f64 x x) (.f64 x 2))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 x x (*.f64 x 2))
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)

Outputs
(fma.f64 x x (*.f64 x 2))

Calls

4 calls:

105.0ms	(+.f64 x 1)
5.0ms	x
4.0ms	(*.f64 (+.f64 x 1) (+.f64 x 1))
3.0ms	(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)`
100.0%	1	`(*.f64 (+.f64 x 1) (+.f64 x 1))`
100.0%	1	`(+.f64 x 1)`

Compiler

Compiled 66 to 43 computations (34.8% saved)

regimes16.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 x 2))

Calls

4 calls:

5.0ms	x
3.0ms	(+.f64 x 1)
3.0ms	(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
3.0ms	(*.f64 (+.f64 x 1) (+.f64 x 1))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)`
100.0%	1	`(*.f64 (+.f64 x 1) (+.f64 x 1))`
100.0%	1	`(+.f64 x 1)`

Compiler

Compiled 52 to 34 computations (34.6% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(+.f64 x x)
(*.f64 x (+.f64 x 2))

Outputs
(*.f64 x (+.f64 x 2))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes10.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

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

Outputs
(*.f64 x x)
(+.f64 x x)
(*.f64 x x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
96.0%	3	`x`

Compiler

Compiled 9 to 4 computations (55.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
52.5%	1	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

bsearch25.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0009306875585259555	3.755289707459683
12.0ms	-3309.2365996458075	-0.22514989002893818

Results

22.0ms

256×

body

256

valid

Compiler

Compiled 174 to 107 computations (38.5% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
4×	`*-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	93
1	29	93

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 x 2))
(+.f64 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 x 2))
(if (<=.f64 x -2) (.f64 x x) (if (<=.f64 x 2) (+.f64 x x) (.f64 x x)))
(*.f64 x x)

Outputs
(fma.f64 x x (*.f64 x 2))
(+.f64 (.f64 x x) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 x 2))
(if (<=.f64 x -2) (.f64 x x) (if (<=.f64 x 2) (+.f64 x x) (.f64 x x)))
(*.f64 x x)

Compiler

Compiled 43 to 24 computations (44.2% saved)

soundness744.0ms (23.2%)

Rules

5558×	`fma-neg`
2282×	`unsub-neg`
1234×	`fma-def`
1234×	`fma-def`
1210×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	43	59
2	118	43
3	365	39
4	1816	39
5	3230	39
6	4275	39
7	5101	39
8	5607	39
9	5857	39
10	5859	39
11	5859	39
12	5975	39
13	6030	39
14	6033	39
15	6033	39
0	11	34
1	233	32
2	2823	32
0	237	1989
1	582	1903
2	1639	1875
3	7056	1831
0	237	1989
1	582	1903
2	1639	1875
3	7056	1831
0	11	34
1	233	32
2	2823	32

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 289 to 196 computations (32.2% saved)

end0.0ms (0%)

preprocess178.0ms (5.6%)

Compiler: Compiled 98 to 52 computations (46.9% saved)

analyze0.0ms (0%)

sample1.2s (37.5%)

preprocess465.0ms (14.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize48.0ms (1.5%)

series2.0ms (0.1%)

rewrite71.0ms (2.2%)

simplify79.0ms (2.5%)

eval33.0ms (1%)

prune21.0ms (0.7%)

localize40.0ms (1.2%)

series1.0ms (0%)

rewrite56.0ms (1.8%)

simplify59.0ms (1.8%)

eval13.0ms (0.4%)

prune8.0ms (0.3%)

regimes119.0ms (3.7%)

regimes16.0ms (0.5%)

regimes4.0ms (0.1%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch25.0ms (0.8%)

simplify5.0ms (0.2%)

soundness744.0ms (23.2%)

end0.0ms (0%)

preprocess178.0ms (5.6%)

Profiling