Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
66.7%	50%	25%	0%	0%	25%	0%	4
83.3%	62.5%	12.5%	0%	0%	25%	0%	5
91.7%	68.7%	6.2%	0%	0%	25%	0%	6
95.8%	71.8%	3.1%	0%	0%	25%	0%	7
97.9%	73.4%	1.6%	0%	0%	25%	0%	8
99%	74.2%	0.8%	0%	0%	25%	0%	9
99.5%	74.6%	0.4%	0%	0%	25%	0%	10
99.7%	74.8%	0.2%	0%	0%	25%	0%	11
99.9%	74.9%	0.1%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample2.7s (67.8%)

Results

1.3s	2790×	body	1024	valid
876.0ms	3813×	body	256	valid
295.0ms	1397×	body	512	valid
185.0ms	256×	body	2048	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess16.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`log1p-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	9	3
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (+.f64 1 x))

Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`log1p-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	9	3

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(log.f64 (+.f64 1 x))

Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% 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	(log1p.f64 x)

Compiler

Compiled 3 to 2 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 x)

Compiler

Compiled 4 to 2 computations (50% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 x)
1.0ms	x	@	-inf	(log1p.f64 x)
0.0ms	x	@	inf	(log1p.f64 x)

rewrite71.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

383×	`expm1-udef_binary64`
383×	`log1p-udef_binary64`
255×	`associate-r_binary64`
250×	`pow1_binary64`
241×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	57	3
2	641	3
3	6926	3

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(log1p.f64 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 x) 1/6) (.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 x) 1/4) (.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (log1p.f64 x) 1/6)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 3) 1) (+.f64 (.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) (+.f64 1 (+.f64 (log1p.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) 2)) (cbrt.f64 (log.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/6) (*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 1/4) (*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (log1p.f64 x) 1/6)) (pow.f64 (log1p.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) (+.f64 1 (+.f64 (log1p.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) 2)) (cbrt.f64 (log.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))))))

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-def_binary64`
315×	`times-frac_binary64`
299×	`fma-neg_binary64`
255×	`log-prod_binary64`
239×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	594
1	423	550
2	1208	543
3	4759	527

Stop Event

1×	node limit

Counts

60 → 98

Calls

Call 1

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

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

eval22.0ms (0.5%)

Compiler: Compiled 1089 to 658 computations (39.6% saved)

prune33.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Error

Counts

99 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.6b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
✓	0.0b	(log1p.f64 x)
	22.5b	x

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	3.4b	(log.f64 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 23 to 18 computations (21.7% saved)

series21.0ms (0.5%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 x 1)))
1.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 x 1)))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 x 1)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x 1))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1))

rewrite41.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary64`
505×	`log1p-expm1-u_binary64`
505×	`expm1-log1p-u_binary64`
504×	`add-log-exp_binary64`
493×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	120	12
2	1437	12

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))

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

Outputs

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

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

simplify83.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-l_binary64`
441×	`log-prod_binary64`
415×	`associate-r_binary64`
415×	`fma-def_binary64`
299×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	568
1	268	558
2	827	551
3	4399	440

Stop Event

1×	node limit

Counts

55 → 81

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 0 (*.f64 (log1p.f64 x) 1/2))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (+.f64 x 1) 1/4)) (log.f64 (pow.f64 (+.f64 x 1) 1/4)))
(-.f64 (+.f64 1 (*.f64 (log1p.f64 x) 1/2)) 1)
(.f64 1 (.f64 (log1p.f64 x) 1/2))
(.f64 (.f64 (log1p.f64 x) 1/2) 1)
(*.f64 (log1p.f64 x) 1/2)
(.f64 (cbrt.f64 (.f64 (log1p.f64 x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 x) 1/2)) 2) (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)))
(.f64 (sqrt.f64 (.f64 (log1p.f64 x) 1/2)) (sqrt.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 1/2 (log1p.f64 x))
(pow.f64 (*.f64 (log1p.f64 x) 1/2) 1)
(pow.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)) 3)
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/2) 2))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 x) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(exp.f64 (log.f64 (*.f64 (log1p.f64 x) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (E.f64) (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (.f64 (log1p.f64 x) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (.f64 (log1p.f64 x) 1/2)))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 -1/4 (.f64 x x)))
(.f64 x (+.f64 1/2 (.f64 x -1/4)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/4 (.f64 x x))))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 -1/4 (*.f64 x 1/6))))
(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (*.f64 x 1/6)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/4 (.f64 x x) (.f64 -1/8 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 4) (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 -1/4 (.f64 x (+.f64 (.f64 x -1/8) 1/6)))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 (*.f64 x x) -1/8 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 (pow.f64 x 3) 1/16)))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) 1/16 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 3) 1/16 1)))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 (*.f64 x 1/16) -1/8)))))
(+.f64 0 (*.f64 (log1p.f64 x) 1/2))
(*.f64 1/2 (log1p.f64 x))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 (log.f64 (pow.f64 (+.f64 x 1) 1/4)) (log.f64 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 1/2 (log1p.f64 x))
(-.f64 (+.f64 1 (*.f64 (log1p.f64 x) 1/2)) 1)
(*.f64 1/2 (log1p.f64 x))
(.f64 1 (.f64 (log1p.f64 x) 1/2))
(*.f64 1/2 (log1p.f64 x))
(.f64 (.f64 (log1p.f64 x) 1/2) 1)
(*.f64 1/2 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1/2)
(*.f64 1/2 (log1p.f64 x))
(.f64 (cbrt.f64 (.f64 (log1p.f64 x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(*.f64 1/2 (log1p.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 x) 1/2)) 2) (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 1/2 (log1p.f64 x))
(.f64 (sqrt.f64 (.f64 (log1p.f64 x) 1/2)) (sqrt.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 1/2 (log1p.f64 x))
(*.f64 1/2 (log1p.f64 x))
(pow.f64 (*.f64 (log1p.f64 x) 1/2) 1)
(*.f64 1/2 (log1p.f64 x))
(pow.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/2) 3) 1/3)
(*.f64 1/2 (log1p.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 x) 1/2)) 3)
(*.f64 1/2 (log1p.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 x) 1/2)) 2)
(*.f64 1/2 (log1p.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/2) 2))
(*.f64 1/2 (log1p.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) 1/2) 3))
(*.f64 1/2 (log1p.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 1/2 (log1p.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 1/2 (log1p.f64 x))
(exp.f64 (log.f64 (*.f64 (log1p.f64 x) 1/2)))
(*.f64 1/2 (log1p.f64 x))
(+.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (E.f64) (*.f64 (log1p.f64 x) 1/2))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (log1p.f64 x) 1/2)) 2)) (cbrt.f64 (.f64 (log1p.f64 x) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (.f64 (log1p.f64 x) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(+.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(hypot.f64 1 (sqrt.f64 x))

eval51.0ms (1.3%)

Compiler: Compiled 963 to 764 computations (20.7% saved)

prune15.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	79	5	84

Error

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.6b	(.f64 2 (.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (.f64 x 1/6))))))
▶	23.2b	(.f64 2 (.f64 x (+.f64 1/2 (*.f64 x -1/4))))
✓	37.6b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
✓	0.0b	(log1p.f64 x)
	22.5b	x

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 1/2 (.f64 x -1/4)))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 x -1/4)))
1.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 x -1/4)))
0.0ms	x	@	0	(.f64 x (+.f64 1/2 (.f64 x -1/4)))

rewrite39.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
765×	`add-log-exp_binary64`
765×	`log1p-expm1-u_binary64`
765×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	158	8
2	2063	8

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(.f64 x (+.f64 1/2 (.f64 x -1/4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 -1/4 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/4 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 -1/4 (*.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 -1/4 (*.f64 x x))) (*.f64 (*.f64 x 1/2) (*.f64 -1/4 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 -1/4 (*.f64 x x)))) (-.f64 (*.f64 x 1/2) (*.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64)) x) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 -1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/16)) x) (+.f64 1/2 (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/64))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 -1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/4 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/4 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/4 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 -1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 -1/4 (*.f64 x x)))))))

simplify38.0ms (1%)

Algorithm

1×	egg-herbie

Rules

478×	`fma-neg_binary64`
349×	`cancel-sign-sub-inv_binary64`
329×	`fma-def_binary64`
233×	`distribute-rgt-out_binary64`
206×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	484
1	249	374
2	938	353
3	3512	353

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x)))
(+.f64 (.f64 -1/4 (.f64 x x)) (*.f64 x 1/2))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 -1/4 (*.f64 x x)) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/4 1/2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 -1/4 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 -1/4 (.f64 x x)) (.f64 -1/4 (.f64 x x))) (.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 -1/4 (.f64 x x)) (.f64 -1/4 (.f64 x x)))) (-.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x))))
(/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/64)) x) (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 -1/8 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/16)) x) (+.f64 1/2 (.f64 1/4 x)))
(/.f64 (.f64 x (+.f64 1/8 (.f64 (pow.f64 x 3) -1/64))) (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 -1/8 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (.f64 x x) 1/16))) (+.f64 1/2 (.f64 1/4 x)))
(pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/4 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/4 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/4 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/4 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/4 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/4 1/2))))
(fma.f64 x 1/2 (.f64 -1/4 (.f64 x x)))
(fma.f64 1/2 x (.f64 -1/4 (.f64 x x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 -1/4 (.f64 x x)) (*.f64 x 1/2))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 -1/4 (*.f64 x x)) 1))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/4 1/2))) 1)
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 -1/4 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 -1/4 (.f64 x x)) (.f64 -1/4 (.f64 x x))) (.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 -1/4 (.f64 x x)) (-.f64 (.f64 -1/4 (.f64 x x)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (fma.f64 x (.f64 x 1/4) (fma.f64 1/16 (pow.f64 x 4) (pow.f64 (.f64 1/2 x) 3))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (.f64 -1/64 (pow.f64 x 6))) (.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 1/16 1/8) 1/4)))
(/.f64 (fma.f64 -1/64 (pow.f64 x 6) (.f64 1/8 (pow.f64 x 3))) (.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 1/16 1/8) 1/4)))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 -1/4 (.f64 x x)) (.f64 -1/4 (.f64 x x)))) (-.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x))))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/64)) x) (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 -1/8 x))))
(/.f64 x (/.f64 (-.f64 (+.f64 1/4 (.f64 (.f64 x x) 1/16)) (.f64 x -1/8)) (+.f64 1/8 (.f64 (pow.f64 x 3) -1/64))))
(/.f64 (fma.f64 x 1/8 (.f64 -1/64 (pow.f64 x 4))) (+.f64 1/4 (.f64 x (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (fma.f64 x 1/8 (*.f64 -1/64 (pow.f64 x 4))) (fma.f64 x (fma.f64 x 1/16 1/8) 1/4))
(*.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) (/.f64 x (fma.f64 x (fma.f64 x 1/16 1/8) 1/4)))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/16)) x) (+.f64 1/2 (.f64 1/4 x)))
(/.f64 x (/.f64 (+.f64 1/2 (.f64 x 1/4)) (-.f64 1/4 (.f64 (*.f64 x x) 1/16))))
(.f64 (/.f64 (+.f64 1/4 (.f64 (*.f64 x x) -1/16)) (fma.f64 x 1/4 1/2)) x)
(.f64 x (/.f64 (fma.f64 x (.f64 x -1/16) 1/4) (fma.f64 x 1/4 1/2)))
(.f64 (fma.f64 x (.f64 x -1/16) 1/4) (/.f64 x (fma.f64 x 1/4 1/2)))
(/.f64 (.f64 x (+.f64 1/8 (.f64 (pow.f64 x 3) -1/64))) (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/16) (*.f64 -1/8 x))))
(/.f64 x (/.f64 (-.f64 (+.f64 1/4 (.f64 (.f64 x x) 1/16)) (.f64 x -1/8)) (+.f64 1/8 (.f64 (pow.f64 x 3) -1/64))))
(/.f64 (fma.f64 x 1/8 (.f64 -1/64 (pow.f64 x 4))) (+.f64 1/4 (.f64 x (-.f64 (*.f64 x 1/16) -1/8))))
(/.f64 (fma.f64 x 1/8 (*.f64 -1/64 (pow.f64 x 4))) (fma.f64 x (fma.f64 x 1/16 1/8) 1/4))
(*.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) (/.f64 x (fma.f64 x (fma.f64 x 1/16 1/8) 1/4)))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (.f64 x x) 1/16))) (+.f64 1/2 (.f64 1/4 x)))
(/.f64 x (/.f64 (+.f64 1/2 (.f64 x 1/4)) (-.f64 1/4 (.f64 (*.f64 x x) 1/16))))
(.f64 (/.f64 (+.f64 1/4 (.f64 (*.f64 x x) -1/16)) (fma.f64 x 1/4 1/2)) x)
(.f64 x (/.f64 (fma.f64 x (.f64 x -1/16) 1/4) (fma.f64 x 1/4 1/2)))
(.f64 (fma.f64 x (.f64 x -1/16) 1/4) (/.f64 x (fma.f64 x 1/4 1/2)))
(pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 1)
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 3) 1/3)
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/4 1/2))) 3)
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/4 1/2))) 2)
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 2))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/4 1/2)) x))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/4 1/2)) 3))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/4 1/2) 3)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3) (pow.f64 x 3)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/4 1/2))))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/4 1/2))))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/4 1/2))))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 x 1/2 (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 1/2 x (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/4 1/2))

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/4 (*.f64 x 1/6))
✓	0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (*.f64 x 1/6)))))
✓	0.1b	(.f64 x (+.f64 -1/4 (.f64 x 1/6)))
✓	0.3b	(*.f64 x 1/6)

Compiler

Compiled 54 to 41 computations (24.1% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (*.f64 x 1/6)))))
0.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (*.f64 x 1/6)))))
0.0ms	x	@	inf	(.f64 x (+.f64 -1/4 (.f64 x 1/6)))
0.0ms	x	@	0	(*.f64 x 1/6)
0.0ms	x	@	-inf	(*.f64 x 1/6)

rewrite136.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`prod-diff_binary64`
539×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
317×	`fma-def_binary64`
297×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	235	29
2	3265	29

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

Inputs
(*.f64 x 1/6)
(.f64 x (+.f64 -1/4 (.f64 x 1/6)))
(.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (*.f64 x 1/6)))))
(+.f64 -1/4 (*.f64 x 1/6))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -1/4) (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (.f64 x x)) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x 1/6 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -1/4) 1) (.f64 (.f64 1/6 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x 1/6 -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x -1/4) 3) (pow.f64 (.f64 1/6 (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 x -1/4) 2) (-.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (.f64 (.f64 x -1/4) (.f64 1/6 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x -1/4) 2) (pow.f64 (.f64 1/6 (.f64 x x)) 2)) (-.f64 (.f64 x -1/4) (.f64 1/6 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) x) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36)) x) (+.f64 -1/4 (.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/216 -1/64)) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1/16 (.f64 (.f64 x x) 1/36))) (+.f64 -1/4 (.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 1/6 -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 1/6 (.f64 x x))) (exp.f64 (.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 1/6 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 1/6 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 1/6 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 1/6) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/4 (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (.f64 x x) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/6) x (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 x (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -1/4) (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/6 (.f64 x x)) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 1/6 (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) -1/4) (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 1/6)) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (.f64 (cbrt.f64 (.f64 x 1/6)) x) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/4) (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/6)) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/6)) (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -1/4) 1 (.f64 (.f64 1/6 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/4)) 2) (cbrt.f64 (.f64 x -1/4)) (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 2) (cbrt.f64 (.f64 1/6 (.f64 x x))) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -1/4)) (sqrt.f64 (.f64 x -1/4)) (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/6 (.f64 x x))) (sqrt.f64 (.f64 1/6 (.f64 x x))) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/4 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/4 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (cbrt.f64 (.f64 x 1/6)) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/6))) (sqrt.f64 (.f64 x 1/6)) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/6) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x -1/4))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) 2) (.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) 2)) (-.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/8 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 3)) x) (fma.f64 (.f64 x (fma.f64 x 1/6 -1/4)) (fma.f64 x (fma.f64 x 1/6 -1/4) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 2)) x) (-.f64 1/2 (.f64 x (fma.f64 x 1/6 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 1/8 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 3))) (fma.f64 (.f64 x (fma.f64 x 1/6 -1/4)) (fma.f64 x (fma.f64 x 1/6 -1/4) -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 2))) (-.f64 1/2 (.f64 x (fma.f64 x 1/6 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))) (exp.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x (fma.f64 x 1/6 -1/4)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1/6 -1/4) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/16 (+.f64 -1/4 (.f64 -1/6 x))) (/.f64 (.f64 (.f64 x x) 1/36) (+.f64 -1/4 (.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1/6 -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 1/6 -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 2) (cbrt.f64 (fma.f64 x 1/6 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1/6 -1/4)) (sqrt.f64 (fma.f64 x 1/6 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (/.f64 1 (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36)) (/.f64 1 (+.f64 -1/4 (.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1/4 (.f64 -1/6 x)) (-.f64 1/16 (.f64 (.f64 x x) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (.f64 x x) 1/36 (-.f64 1/16 (.f64 -1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36)) (+.f64 -1/4 (.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64)) (neg.f64 (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36))) (neg.f64 (+.f64 -1/4 (.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) 1/36 -1/16) (fma.f64 x 1/6 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/6 -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/6 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1/4 (.f64 -1/6 x)) (-.f64 1/16 (.f64 (.f64 x x) 1/36))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/6 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/6 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/6 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/6 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 1/6 -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/6 -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 x -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/6) 1 -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/6) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/6) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 1/6)) (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (cbrt.f64 (.f64 x 1/6)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/6) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x) -1/4)))))

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

423×	`cancel-sign-sub-inv_binary64`
343×	`associate-/l*_binary64`
329×	`times-frac_binary64`
300×	`distribute-rgt-neg-in_binary64`
269×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	2821
1	922	2286
2	3210	2225

Stop Event

1×	node limit

Counts

212 → 237

Calls

Call 1

Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 -1/4 x)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 2))))
-1/4
(-.f64 (*.f64 1/6 x) 1/4)
(-.f64 (*.f64 1/6 x) 1/4)
(-.f64 (*.f64 1/6 x) 1/4)
(*.f64 1/6 x)
(-.f64 (*.f64 1/6 x) 1/4)
(-.f64 (*.f64 1/6 x) 1/4)
(-.f64 (*.f64 1/6 x) 1/4)
(*.f64 1/6 x)
(-.f64 (*.f64 1/6 x) 1/4)
(-.f64 (*.f64 1/6 x) 1/4)
(-.f64 (*.f64 1/6 x) 1/4)
(+.f64 0 (*.f64 x 1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 x 1/6)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x 1/6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1)
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (.f64 (.f64 x x) 1/36) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/36))
(log.f64 (exp.f64 (*.f64 x 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/6)) 1))
(+.f64 (.f64 x -1/4) (.f64 1/6 (*.f64 x x)))
(+.f64 (.f64 1/6 (.f64 x x)) (*.f64 x -1/4))
(+.f64 0 (*.f64 x (fma.f64 x 1/6 -1/4)))
(+.f64 (.f64 (.f64 x -1/4) 1) (.f64 (.f64 1/6 (*.f64 x x)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 -1/4)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x -1/4) 3) (pow.f64 (.f64 1/6 (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 x -1/4) 2) (-.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 2) (.f64 (.f64 x -1/4) (.f64 1/6 (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (.f64 x -1/4) 2) (pow.f64 (.f64 1/6 (.f64 x x)) 2)) (-.f64 (.f64 x -1/4) (.f64 1/6 (.f64 x x))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) x) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16))
(/.f64 (.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36)) x) (+.f64 -1/4 (.f64 -1/6 x)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/216 -1/64)) (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16))
(/.f64 (.f64 x (-.f64 1/16 (.f64 (.f64 x x) 1/36))) (+.f64 -1/4 (.f64 -1/6 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/6 -1/4)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 -1/4)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 -1/4))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 -1/4))) 2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 -1/4)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 -1/4)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/6 -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/6 -1/4)))))
(log.f64 (.f64 (exp.f64 (.f64 1/6 (.f64 x x))) (exp.f64 (.f64 x -1/4))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 -1/4)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 -1/4))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 -1/4))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 -1/4))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/6 -1/4))) 1))
(fma.f64 x (.f64 x 1/6) (.f64 x -1/4))
(fma.f64 x -1/4 (.f64 1/6 (.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(fma.f64 (.f64 x 1/6) x (.f64 x -1/4))
(fma.f64 -1/4 x (.f64 1/6 (.f64 x x)))
(fma.f64 1 (.f64 x -1/4) (.f64 1/6 (*.f64 x x)))
(fma.f64 1 (.f64 1/6 (.f64 x x)) (*.f64 x -1/4))
(fma.f64 (.f64 x x) 1/6 (.f64 x -1/4))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) -1/4) (.f64 1/6 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 1/6)) (.f64 x -1/4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (.f64 (cbrt.f64 (.f64 x 1/6)) x) (.f64 x -1/4))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/4) (.f64 1/6 (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/6)) (*.f64 x -1/4))
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (.f64 (sqrt.f64 (.f64 x 1/6)) x) (.f64 x -1/4))
(fma.f64 (.f64 x -1/4) 1 (.f64 (.f64 1/6 (.f64 x x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/4)) 2) (cbrt.f64 (.f64 x -1/4)) (.f64 1/6 (.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 2) (cbrt.f64 (.f64 1/6 (.f64 x x))) (*.f64 x -1/4))
(fma.f64 (sqrt.f64 (.f64 x -1/4)) (sqrt.f64 (.f64 x -1/4)) (.f64 1/6 (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 1/6 (.f64 x x))) (sqrt.f64 (.f64 1/6 (.f64 x x))) (*.f64 x -1/4))
(fma.f64 (.f64 -1/4 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 1/6 (.f64 x x)))
(fma.f64 (.f64 -1/4 (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/6 (*.f64 x x)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2)) (cbrt.f64 (.f64 x 1/6)) (.f64 x -1/4))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/6))) (sqrt.f64 (.f64 x 1/6)) (.f64 x -1/4))
(fma.f64 (.f64 (.f64 x 1/6) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x -1/4))
(fma.f64 (.f64 (.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -1/4))
(+.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/6 -1/4) (*.f64 x x)))
(+.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) (*.f64 x 1/2))
(+.f64 0 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 (fma.f64 x 1/6 -1/4) (*.f64 x x)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) 2) (.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) 2)) (-.f64 (.f64 x 1/2) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 3)) x) (fma.f64 (*.f64 x (fma.f64 x 1/6 -1/4)) (fma.f64 x (fma.f64 x 1/6 -1/4) -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 2)) x) (-.f64 1/2 (*.f64 x (fma.f64 x 1/6 -1/4))))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 3))) (fma.f64 (*.f64 x (fma.f64 x 1/6 -1/4)) (fma.f64 x (fma.f64 x 1/6 -1/4) -1/2) 1/4))
(/.f64 (.f64 x (-.f64 1/4 (pow.f64 (.f64 x (fma.f64 x 1/6 -1/4)) 2))) (-.f64 1/2 (*.f64 x (fma.f64 x 1/6 -1/4))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)))))
(log.f64 (.f64 (exp.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))) (exp.f64 (.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 1/6 -1/4) 1/2))) 1))
(fma.f64 x (.f64 x (fma.f64 x 1/6 -1/4)) (.f64 x 1/2))
(fma.f64 x 1/2 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)))
(fma.f64 (fma.f64 x 1/6 -1/4) (.f64 x x) (.f64 x 1/2))
(fma.f64 (.f64 x (fma.f64 x 1/6 -1/4)) x (.f64 x 1/2))
(fma.f64 1/2 x (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)))
(fma.f64 1 (.f64 x 1/2) (.f64 (fma.f64 x 1/6 -1/4) (*.f64 x x)))
(fma.f64 1 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) (*.f64 x 1/2))
(fma.f64 (.f64 x x) (fma.f64 x 1/6 -1/4) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/2) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x (fma.f64 x 1/6 -1/4))) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 (fma.f64 x 1/6 -1/4) (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 x 1/6 -1/4))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) x) (.f64 x 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))) 2) (cbrt.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))) (sqrt.f64 (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x))) (*.f64 x 1/2))
(fma.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 (fma.f64 x 1/6 -1/4) (.f64 x x)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (fma.f64 x 1/6 -1/4) (*.f64 x x)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) 2)) (cbrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x (fma.f64 x 1/6 -1/4)))) (sqrt.f64 (.f64 x (fma.f64 x 1/6 -1/4))) (.f64 x 1/2))
(fma.f64 (.f64 (.f64 x (fma.f64 x 1/6 -1/4)) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 (.f64 x (fma.f64 x 1/6 -1/4)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 -1/4))) 1)
(-.f64 (/.f64 1/16 (+.f64 -1/4 (.f64 -1/6 x))) (/.f64 (.f64 (.f64 x x) 1/36) (+.f64 -1/4 (.f64 -1/6 x))))
(*.f64 (fma.f64 x 1/6 -1/4) 1)
(*.f64 1 (fma.f64 x 1/6 -1/4))
(*.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 2) (cbrt.f64 (fma.f64 x 1/6 -1/4)))
(*.f64 (sqrt.f64 (fma.f64 x 1/6 -1/4)) (sqrt.f64 (fma.f64 x 1/6 -1/4)))
(.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (/.f64 1 (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16)))
(.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36)) (/.f64 1 (+.f64 -1/4 (.f64 -1/6 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)))
(/.f64 1 (/.f64 (+.f64 -1/4 (.f64 -1/6 x)) (-.f64 1/16 (.f64 (*.f64 x x) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (.f64 x x) 1/36 (-.f64 1/16 (.f64 -1/24 x))))
(/.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36)) (+.f64 -1/4 (*.f64 -1/6 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64)) (neg.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16)))
(/.f64 (neg.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36))) (neg.f64 (+.f64 -1/4 (*.f64 -1/6 x))))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 x 1/6 1/4))
(pow.f64 (fma.f64 x 1/6 -1/4) 1)
(pow.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/6 -1/4)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)) -1)
(pow.f64 (/.f64 (+.f64 -1/4 (.f64 -1/6 x)) (-.f64 1/16 (.f64 (*.f64 x x) 1/36))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 2))
(log.f64 (exp.f64 (fma.f64 x 1/6 -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 -1/4))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/6 -1/4)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/6 -1/4)))
(exp.f64 (log.f64 (fma.f64 x 1/6 -1/4)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/6 -1/4)) 1))
(fma.f64 x 1/6 -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 (*.f64 x 1/6) 1 -1/4)
(fma.f64 1 (*.f64 x 1/6) -1/4)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/6) -1/4)
(fma.f64 (cbrt.f64 (.f64 x 1/6)) (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) -1/4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (cbrt.f64 (.f64 x 1/6)) -1/4)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6) -1/4)
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) -1/4)
(fma.f64 (.f64 1/6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) -1/4)
(fma.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x) -1/4)

Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 -1/4 x)
(*.f64 x -1/4)
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 -1/4 x))
(fma.f64 1/6 (.f64 x x) (.f64 x -1/4))
(*.f64 x (fma.f64 1/6 x -1/4))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 1/2 x (.f64 -1/4 (.f64 x x)))
(fma.f64 x 1/2 (.f64 x (.f64 x -1/4)))
(.f64 x (+.f64 (.f64 x -1/4) 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/4 (.f64 x x))))
(*.f64 x (fma.f64 x (fma.f64 1/6 x -1/4) 1/2))
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(fma.f64 1/6 x -1/4)
(-.f64 (/.f64 1/16 (+.f64 -1/4 (.f64 -1/6 x))) (/.f64 (.f64 (.f64 x x) 1/36) (+.f64 -1/4 (.f64 -1/6 x))))
(/.f64 (-.f64 1/16 (.f64 x (.f64 x 1/36))) (+.f64 -1/4 (*.f64 x -1/6)))
(/.f64 (+.f64 1/16 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 -1/4))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 1/6 x 1/4))
(*.f64 (fma.f64 x 1/6 -1/4) 1)
(fma.f64 1/6 x -1/4)
(*.f64 1 (fma.f64 x 1/6 -1/4))
(fma.f64 1/6 x -1/4)
(*.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 2))
(fma.f64 1/6 x -1/4)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 2) (cbrt.f64 (fma.f64 x 1/6 -1/4)))
(fma.f64 1/6 x -1/4)
(*.f64 (sqrt.f64 (fma.f64 x 1/6 -1/4)) (sqrt.f64 (fma.f64 x 1/6 -1/4)))
(fma.f64 1/6 x -1/4)
(.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (/.f64 1 (fma.f64 (.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/6 x) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (*.f64 1/6 x) (fma.f64 1/6 x 1/4) 1/16))
(.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36)) (/.f64 1 (+.f64 -1/4 (.f64 -1/6 x))))
(/.f64 (-.f64 1/16 (.f64 x (.f64 x 1/36))) (+.f64 -1/4 (*.f64 x -1/6)))
(/.f64 (+.f64 1/16 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 -1/4))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 1/6 x 1/4))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/6 x) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (*.f64 1/6 x) (fma.f64 1/6 x 1/4) 1/16))
(/.f64 1 (/.f64 (+.f64 -1/4 (.f64 -1/6 x)) (-.f64 1/16 (.f64 (*.f64 x x) 1/36))))
(/.f64 (-.f64 1/16 (.f64 x (.f64 x 1/36))) (+.f64 -1/4 (*.f64 x -1/6)))
(/.f64 (+.f64 1/16 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 -1/4))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 1/6 x 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/6 x) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (*.f64 1/6 x) (fma.f64 1/6 x 1/4) 1/16))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (.f64 x x) 1/36 (-.f64 1/16 (.f64 -1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (.f64 x x) 1/36 (+.f64 1/16 (.f64 1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 x (.f64 x 1/36) (+.f64 1/16 (.f64 x 1/24))))
(/.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36)) (+.f64 -1/4 (*.f64 -1/6 x)))
(/.f64 (-.f64 1/16 (.f64 x (.f64 x 1/36))) (+.f64 -1/4 (*.f64 x -1/6)))
(/.f64 (+.f64 1/16 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 -1/4))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 1/6 x 1/4))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64)) (neg.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/6 x) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (*.f64 1/6 x) (fma.f64 1/6 x 1/4) 1/16))
(/.f64 (neg.f64 (-.f64 1/16 (.f64 (.f64 x x) 1/36))) (neg.f64 (+.f64 -1/4 (*.f64 -1/6 x))))
(/.f64 (-.f64 1/16 (.f64 x (.f64 x 1/36))) (+.f64 -1/4 (*.f64 x -1/6)))
(/.f64 (+.f64 1/16 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 -1/4))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 1/6 x 1/4))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 x 1/6 1/4))
(/.f64 (-.f64 1/16 (.f64 x (.f64 x 1/36))) (+.f64 -1/4 (*.f64 x -1/6)))
(/.f64 (+.f64 1/16 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 -1/4))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 1/6 x 1/4))
(pow.f64 (fma.f64 x 1/6 -1/4) 1)
(fma.f64 1/6 x -1/4)
(pow.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 2) 1/2)
(fma.f64 1/6 x -1/4)
(pow.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 3) 1/3)
(fma.f64 1/6 x -1/4)
(pow.f64 (cbrt.f64 (fma.f64 x 1/6 -1/4)) 3)
(fma.f64 1/6 x -1/4)
(pow.f64 (sqrt.f64 (fma.f64 x 1/6 -1/4)) 2)
(fma.f64 1/6 x -1/4)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/6) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)) -1)
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/6 x) (fma.f64 x 1/6 1/4) 1/16) (fma.f64 (pow.f64 x 3) 1/216 -1/64)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 -1/64) (fma.f64 (*.f64 1/6 x) (fma.f64 1/6 x 1/4) 1/16))
(pow.f64 (/.f64 (+.f64 -1/4 (.f64 -1/6 x)) (-.f64 1/16 (.f64 (*.f64 x x) 1/36))) -1)
(/.f64 (-.f64 1/16 (.f64 x (.f64 x 1/36))) (+.f64 -1/4 (*.f64 x -1/6)))
(/.f64 (+.f64 1/16 (.f64 (.f64 x x) -1/36)) (fma.f64 x -1/6 -1/4))
(/.f64 (fma.f64 (*.f64 x x) 1/36 -1/16) (fma.f64 1/6 x 1/4))
(sqrt.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 2))
(fma.f64 1/6 x -1/4)
(log.f64 (exp.f64 (fma.f64 x 1/6 -1/4)))
(fma.f64 1/6 x -1/4)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/6 -1/4))))
(fma.f64 1/6 x -1/4)
(cbrt.f64 (pow.f64 (fma.f64 x 1/6 -1/4) 3))
(fma.f64 1/6 x -1/4)
(expm1.f64 (log1p.f64 (fma.f64 x 1/6 -1/4)))
(fma.f64 1/6 x -1/4)
(log1p.f64 (expm1.f64 (fma.f64 x 1/6 -1/4)))
(fma.f64 1/6 x -1/4)
(exp.f64 (log.f64 (fma.f64 x 1/6 -1/4)))
(fma.f64 1/6 x -1/4)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/6 -1/4)) 1))
(fma.f64 1/6 x -1/4)
(fma.f64 x 1/6 -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 (*.f64 x 1/6) 1 -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 1 (*.f64 x 1/6) -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/6) -1/4)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/6 (cbrt.f64 x)) -1/4)
(fma.f64 (cbrt.f64 (.f64 x 1/6)) (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/6)) 2) (cbrt.f64 (.f64 x 1/6)) -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6) -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 (sqrt.f64 (.f64 x 1/6)) (sqrt.f64 (.f64 x 1/6)) -1/4)
(fma.f64 1/6 x -1/4)
(fma.f64 (.f64 1/6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) -1/4)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/6 (cbrt.f64 x)) -1/4)
(fma.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x) -1/4)
(fma.f64 1/6 x -1/4)

eval191.0ms (4.8%)

Compiler: Compiled 5140 to 3721 computations (27.6% saved)

prune44.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	279	6	285

Error

Counts

285 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.2b	(.f64 2 (+.f64 (.f64 x 1/2) (.f64 -1/4 (.f64 x x))))
✓	22.6b	(.f64 2 (.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (.f64 x 1/6))))))
✓	23.2b	(.f64 2 (.f64 x (+.f64 1/2 (*.f64 x -1/4))))
✓	37.6b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
✓	0.0b	(log1p.f64 x)
	22.5b	x

Compiler

Compiled 49 to 38 computations (22.4% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/4 (.f64 x x))
✓	0.0b	(+.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x)))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x)))
0.0ms	x	@	inf	(+.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x)))
0.0ms	x	@	inf	(.f64 -1/4 (.f64 x x))
0.0ms	x	@	0	(.f64 -1/4 (.f64 x x))
0.0ms	x	@	-inf	(+.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x)))

rewrite91.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`pow1_binary64`
813×	`add-log-exp_binary64`
813×	`log1p-expm1-u_binary64`
813×	`expm1-log1p-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	175	17
2	2270	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(+.f64 (.f64 x 1/2) (.f64 -1/4 (*.f64 x x)))
(.f64 -1/4 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 1/2 (*.f64 x -1/4)))) (/.f64 (*.f64 1/16 (pow.f64 x 4)) (*.f64 x (-.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 x -1/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))) (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/16 (pow.f64 x 4))) (/.f64 1 (*.f64 x (-.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 1/2 (*.f64 x -1/4))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (*.f64 1/2 (*.f64 x (*.f64 x -1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/16 (pow.f64 x 4))) (*.f64 x (-.f64 1/2 (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/16 (pow.f64 x 4)))) (neg.f64 (*.f64 x (-.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 1/2 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 x x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/4 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/4)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/4)) (*.f64 x (sqrt.f64 -1/4)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/4) x (*.f64 x 1/2))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/4))))))))

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

546×	`div-sub_binary64`
420×	`fma-def_binary64`
376×	`times-frac_binary64`
324×	`log-prod_binary64`
233×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	919
1	345	856
2	1282	823
3	6165	805

Stop Event

1×	node limit

Counts

75 → 68

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 1/2 (.f64 x -1/4)))) (/.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 x (-.f64 1/2 (*.f64 x -1/4)))))
(.f64 x (+.f64 1/2 (.f64 x -1/4)))
(.f64 x (+.f64 (.f64 x -1/4) 1/2))
(.f64 (.f64 x (+.f64 1/2 (*.f64 x -1/4))) 1)
(.f64 1 (.f64 x (+.f64 1/2 (*.f64 x -1/4))))
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (*.f64 x -1/4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 (*.f64 x -1/4)))))
(.f64 (sqrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) (sqrt.f64 (.f64 x (+.f64 1/2 (*.f64 x -1/4)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (.f64 x 1/2))))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 1/16 (pow.f64 x 4))) (/.f64 1 (.f64 x (-.f64 1/2 (.f64 x -1/4)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))
(/.f64 1 (/.f64 (.f64 x (-.f64 1/2 (.f64 x -1/4))) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 1/16 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (*.f64 x 1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (.f64 x (.f64 x -1/4)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 1/16 (pow.f64 x 4))) (.f64 x (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (*.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 1/16 (pow.f64 x 4)))) (neg.f64 (.f64 x (-.f64 1/2 (*.f64 x -1/4)))))
(/.f64 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (.f64 x 1/2)))
(pow.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4))) 1)
(pow.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) 3)
(pow.f64 (sqrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) 2)
(sqrt.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4))) 2))
(log.f64 (exp.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4))) 3))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(exp.f64 (log.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(fma.f64 x 1/2 (.f64 x (.f64 x -1/4)))
(fma.f64 1/2 x (.f64 x (.f64 x -1/4)))
(fma.f64 -1/4 (.f64 x x) (.f64 x 1/2))
(fma.f64 (.f64 x x) -1/4 (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x (*.f64 x -1/4)))
(fma.f64 1 (.f64 x (.f64 x -1/4)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -1/4))) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x -1/4)))
(fma.f64 (.f64 x (sqrt.f64 -1/4)) (.f64 x (sqrt.f64 -1/4)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x -1/4)))
(fma.f64 (.f64 x -1/4) x (.f64 x 1/2))
(-.f64 (+.f64 1 (.f64 x (.f64 x -1/4))) 1)
(pow.f64 (.f64 x (.f64 x -1/4)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/4))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(pow.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))
(cbrt.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/4))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -1/4))))
(exp.f64 (log.f64 (.f64 x (.f64 x -1/4))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -1/4 1/2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(-.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) 1)
(*.f64 x (fma.f64 x -1/4 1/2))
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 1/2 (.f64 x -1/4)))) (/.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 x (-.f64 1/2 (*.f64 x -1/4)))))
(/.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 -1/16 (pow.f64 x 4))) (.f64 x (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (.f64 (pow.f64 x 4) -1/16)) x) (+.f64 1/2 (*.f64 x 1/4)))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (/.f64 (pow.f64 x 3) 1))) (fma.f64 x 1/4 1/2))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (pow.f64 x 3))) (fma.f64 x 1/4 1/2))
(.f64 x (+.f64 1/2 (.f64 x -1/4)))
(*.f64 x (fma.f64 x -1/4 1/2))
(.f64 x (+.f64 (.f64 x -1/4) 1/2))
(*.f64 x (fma.f64 x -1/4 1/2))
(.f64 (.f64 x (+.f64 1/2 (*.f64 x -1/4))) 1)
(*.f64 x (fma.f64 x -1/4 1/2))
(.f64 1 (.f64 x (+.f64 1/2 (*.f64 x -1/4))))
(*.f64 x (fma.f64 x -1/4 1/2))
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (*.f64 x -1/4)))) 2))
(*.f64 x (fma.f64 x -1/4 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 (*.f64 x -1/4)))))
(*.f64 x (fma.f64 x -1/4 1/2))
(.f64 (sqrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) (sqrt.f64 (.f64 x (+.f64 1/2 (*.f64 x -1/4)))))
(*.f64 x (fma.f64 x -1/4 1/2))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (.f64 x 1/2))))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 (.f64 x -1/4) (.f64 x (-.f64 (*.f64 x -1/4) 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 x 6))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 x -1/4) (.f64 x (fma.f64 x -1/4 -1/2))))))
(/.f64 (fma.f64 -1/64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/8)) (.f64 x (.f64 x (+.f64 1/4 (.f64 -1/4 (*.f64 x (fma.f64 x -1/4 -1/2)))))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 1/16 (pow.f64 x 4))) (/.f64 1 (.f64 x (-.f64 1/2 (.f64 x -1/4)))))
(/.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 -1/16 (pow.f64 x 4))) (.f64 x (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (.f64 (pow.f64 x 4) -1/16)) x) (+.f64 1/2 (*.f64 x 1/4)))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (/.f64 (pow.f64 x 3) 1))) (fma.f64 x 1/4 1/2))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (pow.f64 x 3))) (fma.f64 x 1/4 1/2))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 (.f64 x -1/4) (.f64 x (-.f64 (*.f64 x -1/4) 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 x 6))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 x -1/4) (.f64 x (fma.f64 x -1/4 -1/2))))))
(/.f64 (fma.f64 -1/64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/8)) (.f64 x (.f64 x (+.f64 1/4 (.f64 -1/4 (*.f64 x (fma.f64 x -1/4 -1/2)))))))
(/.f64 1 (/.f64 (.f64 x (-.f64 1/2 (.f64 x -1/4))) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 1/16 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 -1/16 (pow.f64 x 4))) (.f64 x (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (.f64 (pow.f64 x 4) -1/16)) x) (+.f64 1/2 (*.f64 x 1/4)))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (/.f64 (pow.f64 x 3) 1))) (fma.f64 x 1/4 1/2))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (pow.f64 x 3))) (fma.f64 x 1/4 1/2))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (*.f64 x 1/2)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 (.f64 x -1/4) (.f64 x (-.f64 (*.f64 x -1/4) 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 x 6))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 x -1/4) (.f64 x (fma.f64 x -1/4 -1/2))))))
(/.f64 (fma.f64 -1/64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/8)) (.f64 x (.f64 x (+.f64 1/4 (.f64 -1/4 (*.f64 x (fma.f64 x -1/4 -1/2)))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (.f64 x (.f64 x -1/4)))))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 (.f64 x -1/4) (.f64 x (-.f64 (*.f64 x -1/4) 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 x 6))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 x -1/4) (.f64 x (fma.f64 x -1/4 -1/2))))))
(/.f64 (fma.f64 -1/64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/8)) (.f64 x (.f64 x (+.f64 1/4 (.f64 -1/4 (*.f64 x (fma.f64 x -1/4 -1/2)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 1/16 (pow.f64 x 4))) (.f64 x (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 -1/16 (pow.f64 x 4))) (.f64 x (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (.f64 (pow.f64 x 4) -1/16)) x) (+.f64 1/2 (*.f64 x 1/4)))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (/.f64 (pow.f64 x 3) 1))) (fma.f64 x 1/4 1/2))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (pow.f64 x 3))) (fma.f64 x 1/4 1/2))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 -1/64 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (*.f64 x 1/2))))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 x (.f64 (.f64 x -1/4) (.f64 x (-.f64 (*.f64 x -1/4) 1/2)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (.f64 -1/64 (pow.f64 x 6))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 x -1/4) (.f64 x (fma.f64 x -1/4 -1/2))))))
(/.f64 (fma.f64 -1/64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/8)) (.f64 x (.f64 x (+.f64 1/4 (.f64 -1/4 (*.f64 x (fma.f64 x -1/4 -1/2)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 1/16 (pow.f64 x 4)))) (neg.f64 (.f64 x (-.f64 1/2 (*.f64 x -1/4)))))
(/.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 -1/16 (pow.f64 x 4))) (.f64 x (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (.f64 (pow.f64 x 4) -1/16)) x) (+.f64 1/2 (*.f64 x 1/4)))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (/.f64 (pow.f64 x 3) 1))) (fma.f64 x 1/4 1/2))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (pow.f64 x 3))) (fma.f64 x 1/4 1/2))
(/.f64 (-.f64 (.f64 1/16 (pow.f64 x 4)) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (.f64 x 1/2)))
(/.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 -1/16 (pow.f64 x 4))) (.f64 x (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (/.f64 (fma.f64 x (.f64 x 1/4) (.f64 (pow.f64 x 4) -1/16)) x) (+.f64 1/2 (*.f64 x 1/4)))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (/.f64 (pow.f64 x 3) 1))) (fma.f64 x 1/4 1/2))
(/.f64 (-.f64 (.f64 x 1/4) (.f64 1/16 (pow.f64 x 3))) (fma.f64 x 1/4 1/2))
(pow.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4))) 1)
(*.f64 x (fma.f64 x -1/4 1/2))
(pow.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4))) 3) 1/3)
(*.f64 x (fma.f64 x -1/4 1/2))
(pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) 3)
(*.f64 x (fma.f64 x -1/4 1/2))
(pow.f64 (sqrt.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))) 2)
(*.f64 x (fma.f64 x -1/4 1/2))
(sqrt.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4))) 2))
(*.f64 x (fma.f64 x -1/4 1/2))
(log.f64 (exp.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(*.f64 x (fma.f64 x -1/4 1/2))
(cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4))) 3))
(*.f64 x (fma.f64 x -1/4 1/2))
(expm1.f64 (log1p.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(*.f64 x (fma.f64 x -1/4 1/2))
(log1p.f64 (expm1.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(*.f64 x (fma.f64 x -1/4 1/2))
(exp.f64 (log.f64 (.f64 x (+.f64 1/2 (.f64 x -1/4)))))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 x 1/2 (.f64 x (.f64 x -1/4)))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x -1/4)))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 -1/4 (.f64 x x) (.f64 x 1/2))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 (.f64 x x) -1/4 (.f64 x 1/2))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x (*.f64 x -1/4)))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 1 (.f64 x (.f64 x -1/4)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -1/4))) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -1/4))) (.f64 1/2 x))
(fma.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 -1/4 (.f64 x x))) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -1/4)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x -1/4)))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 (.f64 x (sqrt.f64 -1/4)) (.f64 x (sqrt.f64 -1/4)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x -1/4)))
(*.f64 x (fma.f64 x -1/4 1/2))
(fma.f64 (.f64 x -1/4) x (.f64 x 1/2))
(*.f64 x (fma.f64 x -1/4 1/2))
(-.f64 (+.f64 1 (.f64 x (.f64 x -1/4))) 1)
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(pow.f64 (.f64 x (.f64 x -1/4)) 1)
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/4))) 3)
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/4)) 2)
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(pow.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 -1/64 (pow.f64 x 6)))
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/4) (*.f64 x x)))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(cbrt.f64 (.f64 -1/64 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 -1/64 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/4))))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -1/4))))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -1/4))))
(.f64 x (.f64 x -1/4))
(.f64 -1/4 (.f64 x x))

eval48.0ms (1.2%)

Compiler: Compiled 1128 to 851 computations (24.6% saved)

prune11.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	68	6	74

Error

Counts

74 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.2b	(.f64 2 (+.f64 (.f64 x 1/2) (.f64 -1/4 (.f64 x x))))
✓	22.6b	(.f64 2 (.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (.f64 x 1/6))))))
✓	23.2b	(.f64 2 (.f64 x (+.f64 1/2 (*.f64 x -1/4))))
✓	37.6b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
✓	0.0b	(log1p.f64 x)
	22.5b	x

Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes13.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f64 2 (.f64 x (+.f64 1/2 (*.f64 x -1/4))))
(.f64 2 (+.f64 (.f64 x 1/2) (.f64 -1/4 (.f64 x x))))
(.f64 2 (.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (.f64 x 1/6))))))
(log1p.f64 x)
(log.f64 (+.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))

Outputs
(log1p.f64 x)

Calls

3 calls:

6.0ms	x
3.0ms	(+.f64 1 x)
2.0ms	(log.f64 (+.f64 1 x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f64 (+.f64 1 x))`
0.0b	1	`(+.f64 1 x)`

Compiler

Compiled 59 to 44 computations (25.4% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.2b remaining (-5.2%)

Threshold costs -1.2b (-5.2%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 2 (.f64 x (+.f64 1/2 (*.f64 x -1/4))))
(.f64 2 (+.f64 (.f64 x 1/2) (.f64 -1/4 (.f64 x x))))
(.f64 2 (.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/4 (.f64 x 1/6))))))

Outputs
x

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
22.5b	1	`x`

Compiler

Compiled 37 to 27 computations (27% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 x)
x

Outputs
(log1p.f64 x)
x

Compiler

Compiled 5 to 3 computations (40% saved)

soundness7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`log1p-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	9	3

Stop Event

1×

saturated

Compiler

Compiled 8 to 6 computations (25% saved)

end15.0ms (0.4%)

Compiler: Compiled 4 to 2 computations (50% saved)

Details

analyze3.0ms (0.1%)

sample2.7s (67.8%)

preprocess16.0ms (0.4%)

simplify6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite71.0ms (1.8%)

simplify63.0ms (1.6%)

eval22.0ms (0.5%)

prune33.0ms (0.8%)

localize11.0ms (0.3%)

series21.0ms (0.5%)

rewrite41.0ms (1%)

simplify83.0ms (2.1%)

eval51.0ms (1.3%)

prune15.0ms (0.4%)

localize11.0ms (0.3%)

series2.0ms (0%)

rewrite39.0ms (1%)

simplify38.0ms (1%)

localize19.0ms (0.5%)

series4.0ms (0.1%)

rewrite136.0ms (3.4%)

simplify90.0ms (2.3%)

eval191.0ms (4.8%)

prune44.0ms (1.1%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

rewrite91.0ms (2.3%)

simplify50.0ms (1.3%)

eval48.0ms (1.2%)

prune11.0ms (0.3%)

regimes13.0ms (0.3%)

regimes5.0ms (0.1%)

simplify2.0ms (0.1%)

soundness7.0ms (0.2%)

end15.0ms (0.4%)

Profiling