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 (53.3%)

Results

1.1s	6156×	body	256	valid
470.0ms	1020×	body	1024	valid
327.0ms	1062×	body	512	valid
10.0ms	18×	body	2048	valid

Bogosity

preprocess68.0ms (1.9%)

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)

simplify40.0ms (1.1%)

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)

localize7.0ms (0.2%)

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	@	0	(*.f64 eps (fma.f64 2 x eps))
1.0ms	eps	@	inf	(*.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))

rewrite55.0ms (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))))))))

simplify46.0ms (1.3%)

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 (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x eps) 2)
✓	3.5b	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))

Compiler

Compiled 25 to 10 computations (60% saved)

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (2.5%)

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))))))))

simplify54.0ms (1.5%)

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)

eval52.0ms (1.5%)

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

prune23.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	123	5	128

Error

0.0b

Counts

128 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	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)))
▶	22.0b	(.f64 eps (.f64 x 2))
▶	19.0b	(*.f64 eps eps)

Compiler

Compiled 98 to 56 computations (42.9% saved)

localize6.0ms (0.2%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite116.0ms (3.3%)

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)))))))

simplify54.0ms (1.5%)

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))

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)

localize10.0ms (0.3%)

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))
1.0ms	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))

rewrite55.0ms (1.5%)

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))))))

simplify51.0ms (1.4%)

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))

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x eps) eps)
✓	0.0b	(+.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))
✓	0.0b	(*.f64 (+.f64 x eps) x)
✓	3.5b	(-.f64 (+.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps)) (*.f64 x x))

Compiler

Compiled 46 to 8 computations (82.6% saved)

series10.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	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))
0.0ms	eps	@	inf	(*.f64 (+.f64 x eps) eps)

rewrite125.0ms (3.5%)

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 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))
(*.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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simplify92.0ms (2.6%)

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	4600	3337

Stop Event

1×	node limit

Counts

285 → 258

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

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

eval112.0ms (3.1%)

Compiler: Compiled 6571 to 2369 computations (63.9% saved)

prune92.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	357	4	361

Error

Counts

361 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	22.0b	(.f64 eps (.f64 x 2))
✓	19.0b	(*.f64 eps eps)

Compiler

Compiled 32 to 19 computations (40.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 eps x) eps)
✓	0.0b	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 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	x	@	-inf	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
0.0ms	eps	@	0	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
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	@	inf	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))

rewrite81.0ms (2.3%)

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

Outputs

((#(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))))))

((#(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))))))))

simplify46.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

580×	`distribute-rgt-in_binary64`
562×	`fma-def_binary64`
546×	`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	1498	1079

Stop Event

1×	node limit

Counts

108 → 80

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 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 (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))
(+.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))))

Outputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.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)))
(+.f64 (.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)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x 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 (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))
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(*.f64 eps (+.f64 eps x))
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(*.f64 eps (+.f64 eps x))
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(*.f64 eps (+.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 eps x))))
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(exp.f64 (log.f64 (*.f64 eps (+.f64 eps x))))
(*.f64 eps (+.f64 eps x))

eval15.0ms (0.4%)

Compiler: Compiled 1220 to 373 computations (69.4% saved)

prune33.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	80	4	84

Error

Counts

84 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	22.0b	(.f64 eps (.f64 x 2))
✓	19.0b	(*.f64 eps eps)

Compiler

Compiled 32 to 19 computations (40.6% saved)

regimes18.0ms (0.5%)

Counts

9 → 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 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 eps (+.f64 eps (+.f64 x x)))

Calls

3 calls:

7.0ms	x
6.0ms	eps
3.0ms	(-.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 91 to 46 computations (49.5% saved)

regimes58.0ms (1.6%)

Accuracy

Total -35.2b remaining (-796.9%)

Threshold costs -35.2b (-796.9%)

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:

43.0ms	x
14.0ms	eps

Results

Error	Segments	Branch
4.4b	3	`x`
7.9b	5	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch34.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.991447013621415e-98	7.318512497737289e-94
15.0ms	-2.9639066557597604e-125	-1.5783655124876438e-126

Results

21.0ms	179×	body	256	valid
10.0ms	61×	body	512	valid

Compiler

Compiled 226 to 162 computations (28.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	21	44

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -6478237958419417/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (*.f64 eps (*.f64 x 2)) (if (<=.f64 x 8003532508642629/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (*.f64 eps eps) (*.f64 eps (*.f64 x 2))))

(*.f64 eps eps)

Outputs

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

(if (<=.f64 x -6478237958419417/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (*.f64 eps (*.f64 x 2)) (if (<=.f64 x 8003532508642629/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (*.f64 eps eps) (*.f64 eps (*.f64 x 2))))

(*.f64 eps eps)

Compiler

Compiled 37 to 23 computations (37.8% saved)

soundness132.0ms (3.7%)

Algorithm

2×	egg-herbie

Rules

891×	`fma-def_binary64`
733×	`distribute-rgt-in_binary64`
699×	`distribute-lft-in_binary64`
563×	`distribute-rgt-in_binary64`
513×	`cancel-sign-sub-inv_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
0	173	1931
1	475	1699
2	1798	1381

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 84 to 57 computations (32.1% saved)

end24.0ms (0.7%)

Compiler: Compiled 33 to 18 computations (45.5% saved)

Details

analyze1.0ms (0%)

sample1.9s (53.3%)

preprocess68.0ms (1.9%)

simplify40.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite55.0ms (1.5%)

simplify46.0ms (1.3%)

localize9.0ms (0.3%)

series5.0ms (0.2%)

rewrite90.0ms (2.5%)

simplify54.0ms (1.5%)

eval52.0ms (1.5%)

prune23.0ms (0.6%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite116.0ms (3.3%)

simplify54.0ms (1.5%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite55.0ms (1.5%)

simplify51.0ms (1.4%)

localize15.0ms (0.4%)

series10.0ms (0.3%)

rewrite125.0ms (3.5%)

simplify92.0ms (2.6%)

eval112.0ms (3.1%)

prune92.0ms (2.6%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite81.0ms (2.3%)

simplify46.0ms (1.3%)

eval15.0ms (0.4%)

prune33.0ms (0.9%)

regimes18.0ms (0.5%)

regimes58.0ms (1.6%)

bsearch34.0ms (0.9%)

simplify5.0ms (0.1%)

soundness132.0ms (3.7%)

end24.0ms (0.7%)

Profiling