Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.9s (43.6%)

Results

995.0ms	6085×	body	256	valid
480.0ms	1149×	body	512	valid
411.0ms	997×	body	1024	valid
12.0ms	25×	body	2048	valid

Bogosity

preprocess44.0ms (1%)

Algorithm

2×	egg-herbie

Rules

498×	`associate-l_binary64`
451×	`distribute-rgt-neg-in_binary64`
426×	`distribute-lft-neg-in_binary64`
409×	`associate-r_binary64`
366×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	32	26
2	76	26
3	270	26
4	1173	20
5	4509	20
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps))
(*.f64 x (+.f64 x (+.f64 eps eps)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

563×	`distribute-rgt-in_binary64`
513×	`cancel-sign-sub-inv_binary64`
510×	`fma-neg_binary64`
463×	`distribute-lft-in_binary64`
412×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	49	13
3	161	13
4	636	8
5	2828	8

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

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

eval1.0ms (0%)

Compiler: Compiled 35 to 19 computations (45.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

0.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(*.f64 eps (fma.f64 2 x eps))
1.0ms	eps	@	0	(*.f64 eps (fma.f64 2 x eps))
1.0ms	eps	@	inf	(*.f64 eps (fma.f64 2 x eps))
1.0ms	x	@	0	(*.f64 eps (fma.f64 2 x eps))
1.0ms	x	@	inf	(*.f64 eps (fma.f64 2 x eps))

rewrite65.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary64`
531×	`add-sqr-sqrt_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	8
2	1364	8

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 eps (fma.f64 2 x eps))

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

Outputs

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

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

717×	`fma-def_binary64`
584×	`log-prod_binary64`
329×	`*-commutative_binary64`
314×	`associate-l_binary64`
273×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	281
1	101	281
2	331	281
3	2324	281
4	5611	281

Stop Event

1×	node limit

Counts

37 → 19

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x eps) 2)
✓	4.2b	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))

Compiler

Compiled 25 to 10 computations (60% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (+.f64 x eps) 2)
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
1.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
1.0ms	eps	@	0	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
0.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

979×	`pow1_binary64`
914×	`add-log-exp_binary64`
913×	`log1p-expm1-u_binary64`
913×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	186	20
2	2599	20

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(pow.f64 (+.f64 x eps) 2)

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

Outputs

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

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

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-def_binary64`
733×	`distribute-rgt-in_binary64`
699×	`distribute-lft-in_binary64`
270×	`unswap-sqr_binary64`
233×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1931
1	475	1699
2	1798	1381

Stop Event

1×	node limit

Counts

113 → 107

Calls

Call 1

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

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

eval63.0ms (1.4%)

Compiler: Compiled 1981 to 800 computations (59.6% saved)

prune26.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	122	6	128

Error

0.0b

Counts

128 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	27.5b	(-.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps)) (.f64 x x))
▶	17.4b	(-.f64 (+.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps)) (*.f64 x x))
▶	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
▶	23.8b	(.f64 eps (.f64 x 2))
▶	19.8b	(*.f64 eps eps)

Compiler

Compiled 140 to 76 computations (45.7% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
1.0ms	eps	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`pow1_binary64`
828×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	174	8
2	2324	8

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 eps (-.f64 (*.f64 2 x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))) (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps)) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (*.f64 (*.f64 2 x) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 2 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 x eps) 3)) (pow.f64 eps 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (-.f64 (pow.f64 eps 4) (*.f64 (*.f64 2 x) (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (*.f64 2 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 2 (*.f64 x eps)) 2)) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 x) eps (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 2 x) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps eps (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))))))

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-neg_binary64`
700×	`div-sub_binary64`
609×	`times-frac_binary64`
271×	`fma-def_binary64`
250×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	963
1	287	810
2	980	773
3	5246	773

Stop Event

1×	node limit

Counts

64 → 56

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
759×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	142	8
2	2330	8

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-neg_binary64`
440×	`div-sub_binary64`
420×	`times-frac_binary64`
405×	`cancel-sign-sub-inv_binary64`
384×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	687
1	251	474
2	1049	474
3	5563	474

Stop Event

1×	node limit

Counts

49 → 42

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))
✓	0.0b	(*.f64 (+.f64 x eps) eps)
✓	0.0b	(*.f64 (+.f64 x eps) x)
✓	4.2b	(-.f64 (+.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps)) (*.f64 x x))

Compiler

Compiled 46 to 8 computations (82.6% saved)

series9.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`log-prod_binary64`
493×	`pow-prod-down_binary64`
444×	`fma-neg_binary64`
287×	`pow2_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	217	34
2	3558	34

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x eps)) (.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 x (+.f64 x eps)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (+.f64 x eps)) (+.f64 (.f64 x (+.f64 x eps)) (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (.f64 x (neg.f64 x)) 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (cbrt.f64 x) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 x)) (pow.f64 (+.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)) (.f64 x (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (+.f64 x eps) (sqrt.f64 (.f64 x (neg.f64 x)))) (hypot.f64 (+.f64 x eps) (sqrt.f64 (.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (/.f64 1 (pow.f64 (hypot.f64 x (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 x eps) x) (-.f64 (+.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (.f64 x (+.f64 x eps)) 2))) (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 x (+.f64 x eps)) 2) (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6)) (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (.f64 x (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4)) (pow.f64 (hypot.f64 x (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (.f64 x (+.f64 x eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))) (neg.f64 (pow.f64 (hypot.f64 x (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 3) (pow.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (-.f64 (pow.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)) 2) (.f64 (.f64 x (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 x eps) 4) (-.f64 (pow.f64 (.f64 x (neg.f64 x)) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x eps)) 2) (pow.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)) 2)) (-.f64 (.f64 x (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 (.f64 x (neg.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (+.f64 x eps) (sqrt.f64 (.f64 x (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x eps) 4) (+.f64 (pow.f64 x 4) (pow.f64 (.f64 x (+.f64 x eps)) 2))) (-.f64 (pow.f64 (+.f64 x eps) 6) (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x (+.f64 x eps)) 2) (-.f64 (pow.f64 (+.f64 x eps) 4) (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x eps)))) (exp.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x eps)))) (/.f64 (pow.f64 (exp.f64 eps) (+.f64 x eps)) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))) (exp.f64 (.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))) (pow.f64 (exp.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (exp.f64 (pow.f64 (+.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 x))) (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x))) (pow.f64 (exp.f64 x) (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x))) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 x eps)) (pow.f64 (exp.f64 x) x)) (+.f64 1 (expm1.f64 (.f64 x (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x eps) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x eps) x (-.f64 (.f64 eps (+.f64 x eps)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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simplify97.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

481×	`div-sub_binary64`
314×	`difference-of-squares_binary64`
250×	`log-prod_binary64`
231×	`fma-def_binary64`
218×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	3837
1	1096	3574
2	4599	3337

Stop Event

1×	node limit

Counts

285 → 256

Calls

Call 1

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

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

eval86.0ms (2%)

Compiler: Compiled 6548 to 2359 computations (64% saved)

prune48.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	353	1	354
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	354	6	360

Error

Counts

360 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.5b	(-.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps)) (.f64 x x))
▶	0.0b	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	23.8b	(.f64 eps (.f64 x 2))
✓	19.8b	(*.f64 eps eps)

Compiler

Compiled 64 to 36 computations (43.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite51.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
908×	`add-log-exp_binary64`
908×	`log1p-expm1-u_binary64`
908×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	162	17
2	2480	17

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

581×	`distribute-rgt-in_binary64`
562×	`fma-def_binary64`
547×	`distribute-lft-in_binary64`
395×	`unswap-sqr_binary64`
298×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1454
1	400	1146
2	1497	1079

Stop Event

1×	node limit

Counts

108 → 83

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 eps eps))
✓	0.1b	(.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (+.f64 x eps))
✓	5.9b	(-.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps)) (.f64 x x))
✓	12.5b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps))

Compiler

Compiled 68 to 10 computations (85.3% saved)

series18.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	-inf	(-.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps)) (.f64 x x))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps))
1.0ms	eps	@	0	(-.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps)) (.f64 x x))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps))
1.0ms	x	@	inf	(-.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps)) (.f64 x x))

rewrite84.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`log-prod_binary64`
459×	`fma-neg_binary64`
259×	`log-div_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	76
1	277	43
2	4816	43

Stop Event

1×	node limit

Counts

4 → 271

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps))
(-.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps)) (.f64 x x))
(.f64 (-.f64 (.f64 x x) (*.f64 eps eps)) (+.f64 x eps))
(-.f64 (.f64 x x) (.f64 eps eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (+.f64 x eps)) (.f64 x (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x eps)) (.f64 eps (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (/.f64 (-.f64 x eps) (+.f64 x eps))) (/.f64 (.f64 eps eps) (/.f64 (-.f64 x eps) (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 eps eps)) (/.f64 1 (/.f64 (-.f64 x eps) (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 eps eps)) (.f64 (+.f64 x eps) (/.f64 1 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x eps) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (+.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps))) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps))) (/.f64 1 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 2) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (.f64 (cbrt.f64 (+.f64 x eps)) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps))) (.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps))) (/.f64 1 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x eps)) (.f64 (sqrt.f64 (+.f64 x eps)) (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps))) (/.f64 1 (neg.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 x eps)) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x eps) (sqrt.f64 (+.f64 x 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eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x eps)) 2)) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps)) (cbrt.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps))) 2) (pow.f64 (cbrt.f64 (-.f64 x eps)) 2)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps))) (pow.f64 (cbrt.f64 (-.f64 x eps)) 2)) (/.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps))) (cbrt.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (sqrt.f64 (-.f64 x eps))) (/.f64 (+.f64 x eps) (sqrt.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x eps) (sqrt.f64 (-.f64 x eps))) (/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (sqrt.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 x eps) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 x eps)) (neg.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 x eps))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (.f64 x (neg.f64 x)) 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 x)) (pow.f64 (+.f64 x eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))) (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (+.f64 x eps) (sqrt.f64 (.f64 x (neg.f64 x)))) (hypot.f64 (+.f64 x eps) (sqrt.f64 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2) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (+.f64 x eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 x 4)) (+.f64 (.f64 x x) (pow.f64 (+.f64 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (+.f64 x eps) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 x 4))) (neg.f64 (+.f64 (.f64 x x) (pow.f64 (+.f64 x eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (+.f64 x eps) (sqrt.f64 (.f64 x (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)))))))) (#(struct:change #<rule 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(neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 1 (pow.f64 (exp.f64 eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (/.f64 1 (pow.f64 (exp.f64 eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 eps eps)))) (exp.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 eps (neg.f64 eps))) (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (pow.f64 (exp.f64 eps) eps)) (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 eps (neg.f64 eps))) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (pow.f64 (exp.f64 eps) eps)) (+.f64 1 (expm1.f64 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (pow.f64 (exp.f64 (+.f64 x eps)) (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (+.f64 1 (expm1.f64 (-.f64 (.f64 x x) (.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 (-.f64 x eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.f64 x x) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 x x) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) (.f64 eps eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (.f64 eps eps) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (.f64 eps eps) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (.f64 eps eps) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 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simplify141.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
446×	`distribute-rgt-in_binary64`
427×	`distribute-lft-in_binary64`
368×	`associate-/l*_binary64`
214×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	770	7981
1	2389	6855

Stop Event

1×	node limit

Counts

367 → 520

Calls

Call 1

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

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

eval298.0ms (6.8%)

Compiler: Compiled 15172 to 5367 computations (64.6% saved)

prune199.0ms (4.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	602	1	603
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	603	6	609

Error

Counts

609 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 (/.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps eps) (.f64 x x))) (.f64 x eps))
✓	0.0b	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	23.8b	(.f64 eps (.f64 x 2))
✓	19.8b	(*.f64 eps eps)

Compiler

Compiled 62 to 36 computations (41.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 eps eps) (.f64 x x))
✓	0.0b	(/.f64 eps (-.f64 eps x))
✓	0.0b	(+.f64 (.f64 (/.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps eps) (.f64 x x))) (.f64 x eps))
✓	0.1b	(.f64 (/.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps eps) (*.f64 x x)))

Compiler

Compiled 58 to 10 computations (82.8% saved)

series12.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite105.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
370×	`fma-neg_binary64`
352×	`pow2_binary64`
239×	`pow1/3_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	265	41
2	4222	41

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

Inputs
(.f64 (/.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps eps) (*.f64 x x)))
(+.f64 (.f64 (/.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps eps) (.f64 x x))) (.f64 x eps))
(/.f64 eps (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))

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

simplify117.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-neg_binary64`
347×	`log-prod_binary64`
336×	`associate-r_binary64`
331×	`associate-l_binary64`
296×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	4982
1	1510	4562
2	7076	4542

Stop Event

1×	node limit

Counts

318 → 327

Calls

Call 1

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

Outputs
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps (+.f64 eps x))
(.f64 2 (.f64 eps x))
(.f64 (.f64 eps x) 2)
(.f64 eps (.f64 x 2))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (.f64 eps (-.f64 x (.f64 -1 x))) (pow.f64 eps 2))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (.f64 eps (-.f64 x (.f64 -1 x))) (+.f64 (pow.f64 eps 2) (.f64 -1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)))))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (.f64 eps (-.f64 x (.f64 -1 x))) (+.f64 (pow.f64 eps 2) (.f64 -1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)))))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 -1 (.f64 eps (-.f64 (*.f64 -1 x) x))))
(+.f64 (.f64 (neg.f64 eps) (-.f64 (neg.f64 x) x)) (.f64 eps eps))
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x -2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (.f64 eps (-.f64 (*.f64 -1 x) x)))))
(+.f64 (.f64 (neg.f64 eps) (-.f64 (neg.f64 x) x)) (.f64 eps eps))
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x -2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1 (.f64 eps (-.f64 (*.f64 -1 x) x)))))
(+.f64 (.f64 (neg.f64 eps) (-.f64 (neg.f64 x) x)) (.f64 eps eps))
(-.f64 (.f64 eps eps) (.f64 eps (*.f64 x -2)))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 (-.f64 eps (.f64 -1 eps)) x))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (pow.f64 eps 2) (.f64 (-.f64 eps (.f64 -1 eps)) x))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (pow.f64 eps 2) (.f64 (-.f64 eps (.f64 -1 eps)) x))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(.f64 2 (.f64 eps x))
(.f64 (.f64 eps x) 2)
(.f64 eps (.f64 x 2))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(.f64 2 (.f64 eps x))
(.f64 (.f64 eps x) 2)
(.f64 eps (.f64 x 2))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) 2) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x x) eps))
(*.f64 -1 (/.f64 eps x))
(/.f64 (neg.f64 eps) x)
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1 (/.f64 eps x)))
(.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x)))
(-.f64 (/.f64 (neg.f64 eps) x) (*.f64 (/.f64 eps x) (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 eps x))))
(fma.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x))))
(-.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 eps x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1 (/.f64 eps x)))))
(fma.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 eps 4) (pow.f64 x 4)) (.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 eps 4)) (pow.f64 x 4)) (*.f64 (/.f64 eps x) (/.f64 eps x))) (/.f64 eps x)) (/.f64 (pow.f64 eps 3) (pow.f64 x 3)))
1
(+.f64 1 (/.f64 x eps))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 1 (/.f64 x eps)))
(+.f64 (+.f64 1 (/.f64 x eps)) (/.f64 (.f64 x x) (.f64 eps eps)))
(+.f64 1 (+.f64 (/.f64 x eps) (*.f64 (/.f64 x eps) (/.f64 x eps))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 x eps))))
(+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 eps eps)) 1) (+.f64 (/.f64 x eps) (/.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(+.f64 (+.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (/.f64 x eps) (*.f64 (/.f64 x eps) (/.f64 x eps))))
1
(+.f64 1 (/.f64 x eps))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 1 (/.f64 x eps)))
(+.f64 (+.f64 1 (/.f64 x eps)) (/.f64 (.f64 x x) (.f64 eps eps)))
(+.f64 1 (+.f64 (/.f64 x eps) (*.f64 (/.f64 x eps) (/.f64 x eps))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 x eps))))
(+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 eps eps)) 1) (+.f64 (/.f64 x eps) (/.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(+.f64 (+.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (/.f64 x eps) (*.f64 (/.f64 x eps) (/.f64 x eps))))
1
(+.f64 1 (/.f64 x eps))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 1 (/.f64 x eps)))
(+.f64 (+.f64 1 (/.f64 x eps)) (/.f64 (.f64 x x) (.f64 eps eps)))
(+.f64 1 (+.f64 (/.f64 x eps) (*.f64 (/.f64 x eps) (/.f64 x eps))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 x eps))))
(+.f64 (+.f64 (/.f64 (.f64 x x) (.f64 eps eps)) 1) (+.f64 (/.f64 x eps) (/.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(+.f64 (+.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (/.f64 x eps) (*.f64 (/.f64 x eps) (/.f64 x eps))))
(*.f64 -1 (/.f64 eps x))
(/.f64 (neg.f64 eps) x)
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1 (/.f64 eps x)))
(.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x)))
(-.f64 (/.f64 (neg.f64 eps) x) (*.f64 (/.f64 eps x) (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 eps x))))
(fma.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x))))
(-.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 eps x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1 (/.f64 eps x)))))
(fma.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 eps 4) (pow.f64 x 4)) (.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 eps 4)) (pow.f64 x 4)) (*.f64 (/.f64 eps x) (/.f64 eps x))) (/.f64 eps x)) (/.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(*.f64 -1 (/.f64 eps x))
(/.f64 (neg.f64 eps) x)
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1 (/.f64 eps x)))
(.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x)))
(-.f64 (/.f64 (neg.f64 eps) x) (*.f64 (/.f64 eps x) (/.f64 eps x)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 eps x))))
(fma.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x))))
(-.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (/.f64 eps x) (/.f64 eps x)))) (/.f64 eps x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 eps 2) (pow.f64 x 2))) (.f64 -1 (/.f64 eps x)))))
(fma.f64 -1 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 eps 4) (pow.f64 x 4)) (.f64 -1 (+.f64 (/.f64 (.f64 eps eps) (*.f64 x x)) (/.f64 eps x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 eps 4)) (pow.f64 x 4)) (*.f64 (/.f64 eps x) (/.f64 eps x))) (/.f64 eps x)) (/.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(+.f64 (.f64 (/.f64 eps 1) (+.f64 eps x)) (.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) (/.f64 eps (-.f64 eps x))))
(fma.f64 eps (+.f64 eps x) (.f64 (.f64 0 (*.f64 x x)) (/.f64 eps (-.f64 eps x))))
(fma.f64 eps (+.f64 eps x) (/.f64 (*.f64 eps 0) (-.f64 eps x)))
(+.f64 (.f64 (/.f64 eps 1) (+.f64 eps x)) (.f64 (/.f64 eps (-.f64 eps x)) (fma.f64 (neg.f64 x) x (*.f64 x x))))
(fma.f64 eps (+.f64 eps x) (.f64 (.f64 0 (*.f64 x x)) (/.f64 eps (-.f64 eps x))))
(fma.f64 eps (+.f64 eps x) (/.f64 (*.f64 eps 0) (-.f64 eps x)))
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(-.f64 (.f64 eps eps) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (*.f64 x (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4)) (*.f64 x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (-.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (.f64 x x)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 eps 4)) (*.f64 x (neg.f64 x)))
(fma.f64 (hypot.f64 eps (sqrt.f64 (.f64 x (neg.f64 x)))) (hypot.f64 eps (sqrt.f64 (.f64 x (neg.f64 x)))) (fma.f64 (neg.f64 x) x (*.f64 x x)))
(+.f64 (pow.f64 (hypot.f64 eps (sqrt.f64 (.f64 x (neg.f64 x)))) 2) (.f64 0 (*.f64 x x)))
(+.f64 0 (pow.f64 (hypot.f64 eps (sqrt.f64 (*.f64 x (neg.f64 x)))) 2))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 x (neg.f64 x)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (neg.f64 (-.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(fma.f64 (+.f64 eps x) (-.f64 eps x) (fma.f64 (neg.f64 x) x (*.f64 x x)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 x (neg.f64 x)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (neg.f64 (-.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (.f64 x (neg.f64 x)))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (neg.f64 (-.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))
(*.f64 (+.f64 eps x) (-.f64 eps x))
(-.f64 (.f64 eps eps) (.f64 x x))

eval82.0ms (1.9%)

Compiler: Compiled 7450 to 2448 computations (67.1% saved)

prune53.0ms (1.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	327	0	327
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	327	6	333

Error

Counts

333 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 (/.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps eps) (.f64 x x))) (.f64 x eps))
✓	0.0b	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	23.8b	(.f64 eps (.f64 x 2))
✓	19.8b	(*.f64 eps eps)

Compiler

Compiled 62 to 36 computations (41.9% saved)

regimes35.0ms (0.8%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 x 2))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
(-.f64 (+.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps)) (*.f64 x x))
(+.f64 (.f64 (/.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps eps) (.f64 x x))) (.f64 x eps))
(-.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 x eps)) (-.f64 x eps)) (.f64 x x))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

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

Calls

3 calls:

23.0ms	x
6.0ms	eps
4.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`eps`
0.0b	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 127 to 56 computations (55.9% saved)

regimes7.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`eps`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes63.0ms (1.4%)

Accuracy

Total -34.9b remaining (-524.6%)

Threshold costs -34.9b (-524.6%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	eps
10.0ms	x

Results

Error	Segments	Branch
6.7b	3	`x`
8.1b	5	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch48.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	1.5844971185604475e-91	4.436854835728676e-89
12.0ms	-1.3307308301808088e-137	-3.5217132975160604e-138

Results

29.0ms	73×	body	512	valid
17.0ms	135×	body	256	valid

Compiler

Compiled 198 to 142 computations (28.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	57
1	26	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(if (<=.f64 x -1361730492884795/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (.f64 eps (.f64 x 2)) (if (<=.f64 x 5871356456934583/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (.f64 eps eps) (.f64 eps (*.f64 x 2))))
(*.f64 eps eps)

Outputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (+.f64 eps (+.f64 x x)))
(if (<=.f64 x -1361730492884795/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (.f64 eps (.f64 x 2)) (if (<=.f64 x 5871356456934583/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (.f64 eps eps) (.f64 eps (*.f64 x 2))))
(if (<=.f64 x -1361730492884795/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (.f64 (.f64 2 x) eps) (if (<=.f64 x 5871356456934583/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (.f64 eps eps) (.f64 (*.f64 2 x) eps)))
(*.f64 eps eps)

Compiler

Compiled 48 to 30 computations (37.5% saved)

soundness100.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

563×	`distribute-rgt-in_binary64`
513×	`cancel-sign-sub-inv_binary64`
510×	`fma-neg_binary64`
463×	`distribute-lft-in_binary64`
412×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	49	13
3	161	13
4	636	8
5	2828	8

Stop Event

1×	node limit

Compiler

Compiled 212 to 127 computations (40.1% saved)

end43.0ms (1%)

Compiler: Compiled 42 to 22 computations (47.6% saved)

Details

analyze1.0ms (0%)

sample1.9s (43.6%)

preprocess44.0ms (1%)

simplify30.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite65.0ms (1.5%)

simplify52.0ms (1.2%)

localize9.0ms (0.2%)

series6.0ms (0.1%)

rewrite48.0ms (1.1%)

simplify47.0ms (1.1%)

eval63.0ms (1.4%)

prune26.0ms (0.6%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite49.0ms (1.1%)

simplify48.0ms (1.1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite48.0ms (1.1%)

simplify43.0ms (1%)

localize11.0ms (0.2%)

series9.0ms (0.2%)

rewrite69.0ms (1.6%)

simplify97.0ms (2.2%)

eval86.0ms (2%)

prune48.0ms (1.1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite51.0ms (1.2%)

simplify40.0ms (0.9%)

localize14.0ms (0.3%)

series18.0ms (0.4%)

rewrite84.0ms (1.9%)

simplify141.0ms (3.2%)

eval298.0ms (6.8%)

prune199.0ms (4.5%)

localize15.0ms (0.3%)

series12.0ms (0.3%)

rewrite105.0ms (2.4%)

simplify117.0ms (2.7%)

eval82.0ms (1.9%)

prune53.0ms (1.2%)

regimes35.0ms (0.8%)

regimes7.0ms (0.2%)

regimes63.0ms (1.4%)

bsearch48.0ms (1.1%)

simplify4.0ms (0.1%)

soundness100.0ms (2.3%)

end43.0ms (1%)

Profiling