Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25.7%	74.3%	0
25.7%	0%	74.3%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.4s (42.7%)

Results

1.4s	6092×	body	256	valid
574.0ms	1028×	body	1024	valid
376.0ms	1110×	body	512	valid
15.0ms	26×	body	2048	valid

preprocess55.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify68.0ms (1.2%)

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 → 2

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 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	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))

rewrite44.0ms (0.8%)

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))))))))

simplify159.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
582×	`fma-def_binary64`
555×	`cube-prod_binary64`
536×	`fabs-mul_binary64`
471×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	267
1	18	231
2	37	213
3	75	177
4	166	177
5	467	177
6	1590	177
7	2841	177
8	3196	177
9	3418	177
10	3640	177
11	3957	177
12	4377	177
13	4892	177
14	5466	177
15	6166	177
16	7020	177
17	7411	177
18	7705	177
19	7979	177

Stop Event

1×	node limit

Counts

37 → 18

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)))

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

eval4.0ms (0.1%)

Compiler: Compiled 142 to 87 computations (38.7% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Error

0.0b

Counts

19 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	17.1b	(*.f64 eps eps)
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
▶	22.9b	(.f64 2 (.f64 eps x))
▶	24.6b	(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))

Compiler

Compiled 42 to 28 computations (33.3% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 eps (fma.f64 2 x eps))
✓	0.2b	(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
✓	24.6b	(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
1.0ms	eps	@	inf	(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
1.0ms	eps	@	0	(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
1.0ms	x	@	-inf	(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
1.0ms	eps	@	-inf	(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`pow1_binary64`
671×	`add-log-exp_binary64`
670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
654×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	190	19
2	1926	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)

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

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
599×	`fma-neg_binary64`
447×	`associate-+l+_binary64`
370×	`associate-l_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	922
1	273	874
2	928	829
3	3241	787
4	7308	787

Stop Event

1×	node limit

Counts

104 → 89

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)))
(.f64 -1 (.f64 (pow.f64 eps 2) (cbrt.f64 -1)))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(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 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2)))))))
(pow.f64 eps 6)
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (*.f64 4 x))) (pow.f64 eps 6))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2)))))))
(pow.f64 eps 6)
(+.f64 (pow.f64 eps 6) (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))))
(+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))))))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2)))))))
(pow.f64 eps 6)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (*.f64 4 (pow.f64 eps 5))) x) (pow.f64 eps 6))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 eps 4)) (.f64 8 (pow.f64 eps 4))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (pow.f64 eps 6)))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 eps 4)) (.f64 8 (pow.f64 eps 4))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (pow.f64 eps 6))))
(.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (.f64 4 (pow.f64 eps 4))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))))
(.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 (pow.f64 eps 5)) (.f64 -4 (pow.f64 eps 5))) x)) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2))))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 (pow.f64 eps 5)) (.f64 -4 (pow.f64 eps 5))) x)) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))))

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))
(fma.f64 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 eps (-.f64 eps (.f64 x -2)))
(.f64 -1 (.f64 (pow.f64 eps 2) (cbrt.f64 -1)))
(neg.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1)))
(.f64 (.f64 eps eps) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 eps (cbrt.f64 -1)) (neg.f64 eps))
(.f64 (cbrt.f64 -1) (.f64 eps (neg.f64 eps)))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(fma.f64 -2 (.f64 eps (.f64 x (cbrt.f64 -1))) (neg.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1))))
(-.f64 (.f64 -2 (.f64 x (.f64 eps (cbrt.f64 -1)))) (.f64 eps (*.f64 eps (cbrt.f64 -1))))
(.f64 (.f64 eps (cbrt.f64 -1)) (-.f64 (*.f64 x -2) eps))
(.f64 eps (.f64 (cbrt.f64 -1) (fma.f64 x -2 (neg.f64 eps))))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(fma.f64 -2 (.f64 eps (.f64 x (cbrt.f64 -1))) (neg.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1))))
(-.f64 (.f64 -2 (.f64 x (.f64 eps (cbrt.f64 -1)))) (.f64 eps (*.f64 eps (cbrt.f64 -1))))
(.f64 (.f64 eps (cbrt.f64 -1)) (-.f64 (*.f64 x -2) eps))
(.f64 eps (.f64 (cbrt.f64 -1) (fma.f64 x -2 (neg.f64 eps))))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(fma.f64 -2 (.f64 eps (.f64 x (cbrt.f64 -1))) (neg.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1))))
(-.f64 (.f64 -2 (.f64 x (.f64 eps (cbrt.f64 -1)))) (.f64 eps (*.f64 eps (cbrt.f64 -1))))
(.f64 (.f64 eps (cbrt.f64 -1)) (-.f64 (*.f64 x -2) eps))
(.f64 eps (.f64 (cbrt.f64 -1) (fma.f64 x -2 (neg.f64 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))
(fma.f64 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 eps (-.f64 eps (.f64 x -2)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 eps (-.f64 eps (.f64 x -2)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 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 (.f64 2 eps) x (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(.f64 eps (-.f64 eps (.f64 x -2)))
(.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2)))))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 8 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 4) 12)))
(.f64 x (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (*.f64 eps 12)))))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2))))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (.f64 x (*.f64 (pow.f64 eps 4) 12)))))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (-.f64 (.f64 (pow.f64 eps 4) (.f64 x 12)) (*.f64 (pow.f64 eps 5) -6))))
(.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6)))
(.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6)))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2)))))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (.f64 x 12)) (fma.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)) (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 6) (.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6))))
(+.f64 (pow.f64 eps 6) (.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6))))
(pow.f64 eps 6)
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (*.f64 4 x))) (pow.f64 eps 6))
(fma.f64 (pow.f64 eps 5) (*.f64 x 6) (pow.f64 eps 6))
(fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2))))))
(+.f64 (fma.f64 (pow.f64 eps 5) (.f64 x 6) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 (pow.f64 eps 4) (.f64 x (*.f64 x 12)) (pow.f64 eps 6)))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (*.f64 x 12)) (pow.f64 eps 6)))
(+.f64 (pow.f64 eps 6) (.f64 x (fma.f64 x (.f64 (pow.f64 eps 4) 12) (*.f64 (pow.f64 eps 5) 6))))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2)))))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (.f64 x 12)) (fma.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)) (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 6) (.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6))))
(+.f64 (pow.f64 eps 6) (.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6))))
(pow.f64 eps 6)
(+.f64 (pow.f64 eps 6) (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))))
(fma.f64 (pow.f64 eps 5) (*.f64 x 6) (pow.f64 eps 6))
(fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6))
(+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))))))
(+.f64 (fma.f64 (pow.f64 eps 5) (.f64 x 6) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 (pow.f64 eps 4) (.f64 x (*.f64 x 12)) (pow.f64 eps 6)))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (*.f64 x 12)) (pow.f64 eps 6)))
(+.f64 (pow.f64 eps 6) (.f64 x (fma.f64 x (.f64 (pow.f64 eps 4) 12) (*.f64 (pow.f64 eps 5) 6))))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2)))))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (.f64 x 12)) (fma.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)) (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 6) (.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6))))
(+.f64 (pow.f64 eps 6) (.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6))))
(pow.f64 eps 6)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (*.f64 4 (pow.f64 eps 5))) x) (pow.f64 eps 6))
(fma.f64 (pow.f64 eps 5) (*.f64 x 6) (pow.f64 eps 6))
(fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 eps 4)) (.f64 8 (pow.f64 eps 4))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (pow.f64 eps 6)))
(+.f64 (fma.f64 (pow.f64 eps 5) (.f64 x 6) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 (pow.f64 eps 4) (.f64 x (*.f64 x 12)) (pow.f64 eps 6)))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (*.f64 x 12)) (pow.f64 eps 6)))
(+.f64 (pow.f64 eps 6) (.f64 x (fma.f64 x (.f64 (pow.f64 eps 4) 12) (*.f64 (pow.f64 eps 5) 6))))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 eps 4)) (.f64 8 (pow.f64 eps 4))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (pow.f64 eps 6))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (.f64 x 12)) (fma.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)) (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 6) (.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6))))
(+.f64 (pow.f64 eps 6) (.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6))))
(.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 8 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 4) 12)))
(.f64 x (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (*.f64 eps 12)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (.f64 4 (pow.f64 eps 4))) (pow.f64 x 2))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (.f64 x (*.f64 (pow.f64 eps 4) 12)))))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (-.f64 (.f64 (pow.f64 eps 4) (.f64 x 12)) (*.f64 (pow.f64 eps 5) -6))))
(.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6)))
(.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (.f64 x 12)) (fma.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)) (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 6) (.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6))))
(+.f64 (pow.f64 eps 6) (.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6))))
(.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 8 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 4) 12)))
(.f64 x (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (*.f64 eps 12)))))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 (pow.f64 eps 5)) (.f64 -4 (pow.f64 eps 5))) x)) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (.f64 x (*.f64 (pow.f64 eps 4) 12)))))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (-.f64 (.f64 (pow.f64 eps 4) (.f64 x 12)) (*.f64 (pow.f64 eps 5) -6))))
(.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6)))
(.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 (pow.f64 eps 5)) (.f64 -4 (pow.f64 eps 5))) x)) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 8 (pow.f64 eps 3)) (pow.f64 x 3) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 (pow.f64 eps 4) (.f64 x 12)) (fma.f64 (pow.f64 x 3) (.f64 8 (pow.f64 eps 3)) (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 6) (.f64 x (-.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) -6))))
(+.f64 (pow.f64 eps 6) (.f64 x (+.f64 (.f64 x (.f64 (pow.f64 eps 3) (+.f64 (.f64 x 8) (.f64 eps 12)))) (.f64 (pow.f64 eps 5) 6))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
509×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1392	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	-inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

rewrite85.0ms (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))))))

simplify158.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
582×	`fma-def_binary64`
555×	`cube-prod_binary64`
536×	`fabs-mul_binary64`
477×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	267
1	18	231
2	37	213
3	75	177
4	167	177
5	468	177
6	1576	177
7	2822	177
8	3177	177
9	3399	177
10	3621	177
11	3939	177
12	4363	177
13	4878	177
14	5452	177
15	6148	177
16	7002	177
17	7395	177
18	7687	177
19	7963	177

Stop Event

1×	node limit

Counts

64 → 45

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)))

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

eval79.0ms (1.4%)

Compiler: Compiled 2370 to 1609 computations (32.1% saved)

prune117.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	0	1	1
Done	3	1	4
Total	162	6	168

Error

Counts

168 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.9b	(.f64 eps (.f64 2 x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	17.1b	(*.f64 eps eps)
▶	0.0b	(.f64 eps (-.f64 eps (.f64 x -2)))
▶	0.0b	(fma.f64 eps eps (.f64 2 (.f64 x eps)))
▶	0.0b	(fma.f64 (.f64 2 x) eps (.f64 eps eps))

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`pow1_binary64`
763×	`add-log-exp_binary64`
763×	`log1p-expm1-u_binary64`
763×	`expm1-log1p-u_binary64`
748×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	154	10
2	2081	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify160.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
582×	`fma-def_binary64`
555×	`cube-prod_binary64`
536×	`fabs-mul_binary64`
471×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	267
1	18	231
2	37	213
3	75	177
4	166	177
5	467	177
6	1590	177
7	2841	177
8	3196	177
9	3418	177
10	3640	177
11	3957	177
12	4377	177
13	4892	177
14	5466	177
15	6166	177
16	7020	177
17	7411	177
18	7705	177
19	7979	177

Stop Event

1×	node limit

Counts

43 → 24

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)))

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 9 computations (57.1% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite186.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`pow1_binary64`
603×	`add-log-exp_binary64`
603×	`log1p-expm1-u_binary64`
603×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	141	17
2	1635	17

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify170.0ms (3%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
582×	`fma-def_binary64`
555×	`cube-prod_binary64`
536×	`fabs-mul_binary64`
471×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	435
1	18	399
2	37	381
3	75	345
4	166	345
5	467	345
6	1590	345
7	2841	345
8	3196	345
9	3418	345
10	3640	345
11	3957	345
12	4377	345
13	4892	345
14	5466	345
15	6166	345
16	7020	345
17	7411	345
18	7705	345
19	7979	345

Stop Event

1×	node limit

Counts

81 → 38

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
567×	`add-log-exp_binary64`
567×	`log1p-expm1-u_binary64`
567×	`expm1-log1p-u_binary64`
553×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	139	10
2	1582	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify165.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
582×	`fma-def_binary64`
555×	`cube-prod_binary64`
536×	`fabs-mul_binary64`
477×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	267
1	18	231
2	37	213
3	75	177
4	167	177
5	468	177
6	1576	177
7	2822	177
8	3177	177
9	3399	177
10	3621	177
11	3939	177
12	4363	177
13	4878	177
14	5452	177
15	6148	177
16	7002	177
17	7395	177
18	7687	177
19	7963	177

Stop Event

1×	node limit

Counts

46 → 28

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)))

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

eval21.0ms (0.4%)

Compiler: Compiled 997 to 590 computations (40.8% saved)

prune124.0ms (2.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	89	7	96

Error

Counts

96 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.4b	(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
✓	0.0b	(.f64 eps (-.f64 eps (.f64 x -2)))
✓	22.9b	(.f64 eps (.f64 2 x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	17.1b	(*.f64 eps eps)
✓	0.0b	(fma.f64 eps eps (.f64 2 (.f64 x eps)))
✓	0.0b	(fma.f64 (.f64 2 x) eps (.f64 eps eps))

Compiler

Compiled 71 to 45 computations (36.6% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 eps eps) (.f64 (*.f64 x x) 4))
✓	0.0b	(.f64 (.f64 x x) 4)
✓	0.1b	(.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps)
✓	7.4b	(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))

Compiler

Compiled 62 to 28 computations (54.8% saved)

series9.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
1.0ms	eps	@	-inf	(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
1.0ms	eps	@	inf	(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))

rewrite119.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`fma-def_binary64`
731×	`log-prod_binary64`
322×	`fma-neg_binary64`
250×	`egg-rr`
241×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	302	34
2	4462	34

Stop Event

1×	node limit

Counts

4 → 391

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
(.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps)
(.f64 (.f64 x x) 4)
(-.f64 (.f64 eps eps) (.f64 (*.f64 x x) 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (fma.f64 x -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 eps (fma.f64 x -2 eps)))) (cbrt.f64 (exp.f64 (.f64 eps (fma.f64 x -2 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 eps (fma.f64 x -2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 eps (fma.f64 x -2 eps))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 eps (fma.f64 x -2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 x -2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 eps eps) (/.f64 (fma.f64 x -2 eps) eps)) (/.f64 (.f64 x (.f64 x 4)) (/.f64 (fma.f64 x -2 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (fma.f64 x -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -2 eps) 2) (/.f64 1 (/.f64 (fma.f64 x -2 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -2 eps) 2) (.f64 eps (/.f64 1 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2)) (/.f64 1 (fma.f64 x -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -2 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (fma.f64 x -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 eps (fma.f64 x -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2))) 2) (.f64 (cbrt.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2))) (/.f64 1 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 eps (fma.f64 x -2 eps))) (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 x -2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 x -2 eps))) 2) (cbrt.f64 (.f64 eps (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x -2 eps) (sqrt.f64 eps)) (.f64 (.f64 (fma.f64 x -2 eps) (sqrt.f64 eps)) (/.f64 1 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 eps (fma.f64 x -2 eps))) (sqrt.f64 (.f64 eps (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (neg.f64 (pow.f64 (fma.f64 x -2 eps) 2))) (/.f64 1 (neg.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x -2 eps)) (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps 1) (fma.f64 x -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x -2 eps) 2) 1) (/.f64 eps (fma.f64 x -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2))) 2) 1) (/.f64 (cbrt.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2))) (fma.f64 x -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 x -2 eps) (sqrt.f64 eps)) 1) (/.f64 (.f64 (fma.f64 x -2 eps) (sqrt.f64 eps)) (fma.f64 x -2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 x -2 eps)) 2)) (/.f64 (pow.f64 (fma.f64 x -2 eps) 2) (cbrt.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x -2 eps) 2) (pow.f64 (cbrt.f64 (fma.f64 x -2 eps)) 2)) (/.f64 eps (cbrt.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -2 eps)) 2)) (/.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2)) (cbrt.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x -2 eps)) 2)) (cbrt.f64 (.f64 eps (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (fma.f64 x -2 eps) (sqrt.f64 eps)) (pow.f64 (cbrt.f64 (fma.f64 x -2 eps)) 2)) (/.f64 (.f64 (fma.f64 x -2 eps) (sqrt.f64 eps)) (cbrt.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (sqrt.f64 (fma.f64 x -2 eps))) (/.f64 (pow.f64 (fma.f64 x -2 eps) 2) (sqrt.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (fma.f64 x -2 eps) 2) (sqrt.f64 (fma.f64 x -2 eps))) (/.f64 eps (sqrt.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x -2 eps))) (/.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2)) (sqrt.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2))) 2) (sqrt.f64 (fma.f64 x -2 eps))) (/.f64 (cbrt.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2))) (sqrt.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2)) (fma.f64 -8 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 (.f64 x -2) (-.f64 (.f64 x -2) eps) (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2)) (pow.f64 (fma.f64 x -2 eps) 2)) (fma.f64 x -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 eps (fma.f64 x -2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 eps (fma.f64 x -2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 eps (fma.f64 x -2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 eps (fma.f64 x -2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 eps (fma.f64 x -2 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2)) (neg.f64 (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (fma.f64 x -2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 eps (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (fma.f64 x -2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 eps (fma.f64 x -2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 eps (pow.f64 (fma.f64 x -2 eps) 2)) 3) (pow.f64 (fma.f64 x -2 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 eps (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 eps (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 eps (fma.f64 x -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 eps (fma.f64 x -2 eps))) 1))))))
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eps)) (.f64 (fma.f64 (.f64 x x) -4 (.f64 x (.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 x -2 eps) (pow.f64 (cbrt.f64 (fma.f64 x -2 eps)) 2)) (cbrt.f64 (fma.f64 x -2 eps)) (+.f64 (fma.f64 (.f64 x x) -4 (.f64 x (.f64 x 4))) (fma.f64 (.f64 x x) -4 (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (.f64 (.f64 x x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (.f64 (.f64 (.f64 x x) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (fma.f64 (.f64 x x) -4 (fma.f64 (.f64 x x) -4 (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (neg.f64 (-.f64 (.f64 x (.f64 x 4)) (fma.f64 (.f64 x x) -4 (.f64 x (*.f64 x 4))))))))))

simplify193.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

771×	`sqr-pow_binary64`
726×	`cube-prod_binary64`
671×	`unswap-sqr_binary64`
569×	`fabs-mul_binary64`
407×	`unpow3_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	912
1	48	840
2	101	822
3	243	786
4	873	786
5	1488	786
6	2582	786
7	2785	786
8	2994	786
9	3254	786
10	3603	786
11	4063	786
12	4644	786
13	5371	786
14	6304	786
15	6851	786
16	7350	786
17	7794	786

Stop Event

1×	node limit

Counts

475 → 408

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 -4 (.f64 eps (pow.f64 x 2)))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(pow.f64 eps 3)
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(pow.f64 eps 3)
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(pow.f64 eps 3)
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(.f64 -4 (.f64 eps (pow.f64 x 2)))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(.f64 -4 (.f64 eps (pow.f64 x 2)))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 -4 (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))

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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) 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))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 eps (+.f64 (.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 -4 (.f64 eps (pow.f64 x 2)))
(.f64 -4 (.f64 eps (*.f64 x x)))
(.f64 eps (.f64 x (*.f64 x -4)))
(.f64 x (.f64 eps (*.f64 x -4)))
(.f64 (.f64 eps x) (*.f64 x -4))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(pow.f64 eps 3)
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(pow.f64 eps 3)
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(pow.f64 eps 3)
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (.f64 -4 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 3))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(.f64 -4 (.f64 eps (pow.f64 x 2)))
(.f64 -4 (.f64 eps (*.f64 x x)))
(.f64 eps (.f64 x (*.f64 x -4)))
(.f64 x (.f64 eps (*.f64 x -4)))
(.f64 (.f64 eps x) (*.f64 x -4))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(.f64 -4 (.f64 eps (pow.f64 x 2)))
(.f64 -4 (.f64 eps (*.f64 x x)))
(.f64 eps (.f64 x (*.f64 x -4)))
(.f64 x (.f64 eps (*.f64 x -4)))
(.f64 (.f64 eps x) (*.f64 x -4))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(+.f64 (pow.f64 eps 3) (.f64 -4 (.f64 eps (pow.f64 x 2))))
(fma.f64 -4 (.f64 eps (.f64 x x)) (pow.f64 eps 3))
(.f64 eps (fma.f64 eps eps (.f64 x (*.f64 x -4))))
(fma.f64 eps (.f64 x (.f64 x -4)) (pow.f64 eps 3))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 (.f64 4 x) x)
(.f64 x (.f64 x 4))
(*.f64 -4 (pow.f64 x 2))
(.f64 -4 (.f64 x x))
(.f64 x (.f64 x -4))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(*.f64 -4 (pow.f64 x 2))
(.f64 -4 (.f64 x x))
(.f64 x (.f64 x -4))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(*.f64 -4 (pow.f64 x 2))
(.f64 -4 (.f64 x x))
(.f64 x (.f64 x -4))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))
(+.f64 (pow.f64 eps 2) (*.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 eps eps) (.f64 -4 (*.f64 x x)))
(fma.f64 eps eps (.f64 x (.f64 x -4)))

eval470.0ms (8.3%)

Compiler: Compiled 11044 to 6788 computations (38.5% saved)

prune60.0ms (1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	408	0	408
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	408	7	415

Error

Counts

415 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.4b	(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
✓	0.0b	(.f64 eps (-.f64 eps (.f64 x -2)))
✓	22.9b	(.f64 eps (.f64 2 x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	17.1b	(*.f64 eps eps)
✓	0.0b	(fma.f64 eps eps (.f64 2 (.f64 x eps)))
✓	0.0b	(fma.f64 (.f64 2 x) eps (.f64 eps eps))

Compiler

Compiled 71 to 45 computations (36.6% saved)

regimes24.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(.f64 2 (.f64 eps x))
(.f64 eps (-.f64 eps (.f64 x -2)))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (.f64 2 (.f64 x eps)))
(fma.f64 (.f64 2 x) eps (.f64 eps eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))

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

Calls

3 calls:

10.0ms	x
7.0ms	eps
4.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

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

Compiler

Compiled 105 to 60 computations (42.9% saved)

regimes14.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(.f64 2 (.f64 eps x))
(.f64 eps (-.f64 eps (.f64 x -2)))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 x x) 4)) eps) (+.f64 eps (*.f64 x -2)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (.f64 2 (.f64 x eps)))

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

Calls

2 calls:

6.0ms	eps
5.0ms	x

Results

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

Compiler

Compiled 68 to 37 computations (45.6% saved)

regimes23.0ms (0.4%)

Accuracy

Total -33.5b remaining (-692.5%)

Threshold costs -33.5b (-692.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	eps
11.0ms	x

Results

Error	Segments	Branch
4.8b	3	`x`
7.7b	3	`eps`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch126.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
76.0ms	9.414703533642896e-64	1.1694217275840523e-62
50.0ms	-1.4310766438970817e-78	-3.069542488472479e-81

Compiler

Compiled 16 to 12 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	28	55
2	38	55
3	46	55
4	55	55
5	59	55
6	62	55
7	63	55

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 2 x) eps (.f64 eps eps))
(.f64 eps (-.f64 eps (.f64 x -2)))
(if (<=.f64 x -3056761158773371392/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 eps (.f64 2 x)) (if (<=.f64 x 1744237106736727/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(*.f64 eps eps)

Outputs
(fma.f64 (.f64 2 x) eps (.f64 eps eps))
(.f64 eps (-.f64 eps (.f64 x -2)))
(.f64 eps (+.f64 (.f64 2 x) eps))
(if (<=.f64 x -3056761158773371392/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 eps (.f64 2 x)) (if (<=.f64 x 1744237106736727/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (<=.f64 x -5970236638229241/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (.f64 (.f64 2 x) eps) (if (<=.f64 x 1744237106736727/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (.f64 eps eps) (.f64 (*.f64 2 x) eps)))
(*.f64 eps eps)

Compiler

Compiled 47 to 30 computations (36.2% saved)

soundness120.0ms (2.1%)

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

Compiler

Compiled 212 to 127 computations (40.1% saved)

end80.0ms (1.4%)

Compiler: Compiled 41 to 22 computations (46.3% saved)

Details

analyze1.0ms (0%)

sample2.4s (42.7%)

preprocess55.0ms (1%)

simplify68.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite44.0ms (0.8%)

simplify159.0ms (2.8%)

eval4.0ms (0.1%)

prune8.0ms (0.1%)

localize15.0ms (0.3%)

series8.0ms (0.1%)

rewrite56.0ms (1%)

simplify72.0ms (1.3%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite70.0ms (1.2%)

simplify6.0ms (0.1%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite85.0ms (1.5%)

simplify158.0ms (2.8%)

eval79.0ms (1.4%)

prune117.0ms (2.1%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite48.0ms (0.8%)

simplify160.0ms (2.8%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite186.0ms (3.3%)

simplify170.0ms (3%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite46.0ms (0.8%)

simplify165.0ms (2.9%)

eval21.0ms (0.4%)

prune124.0ms (2.2%)

localize21.0ms (0.4%)

series9.0ms (0.2%)

rewrite119.0ms (2.1%)

simplify193.0ms (3.4%)

eval470.0ms (8.3%)

prune60.0ms (1%)

regimes24.0ms (0.4%)

regimes14.0ms (0.2%)

regimes23.0ms (0.4%)

bsearch126.0ms (2.2%)

simplify6.0ms (0.1%)

soundness120.0ms (2.1%)

end80.0ms (1.4%)

Profiling