Details

analyze89.0ms (1.9%)

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
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.3s (50.6%)

Results

1.1s	2566×	body	1024	valid
575.0ms	1298×	body	2048	valid
341.0ms	3075×	body	256	valid
310.0ms	1280×	body	512	valid
21.0ms	37×	body	4096	valid

Bogosity

preprocess15.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`hypot-1-def_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	9
2	14	9
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`hypot-1-def_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	9
2	14	9

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

45.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 x (hypot.f64 1 x))
✓	1.5b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`pow1_binary64`
575×	`add-log-exp_binary64`
575×	`log1p-expm1-u_binary64`
575×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	121	16
2	1559	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-def_binary64`
673×	`fma-neg_binary64`
418×	`unswap-sqr_binary64`
367×	`log-prod_binary64`
225×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	1257
1	551	1069
2	1721	993
3	6800	993

Stop Event

1×	node limit

Counts

80 → 135

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 -1/2 x)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval38.0ms (0.8%)

Compiler: Compiled 1889 to 1394 computations (26.2% saved)

prune21.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Error

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	47.8b	(log.f64 (/.f64 -1/2 x))
▶	45.6b	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	47.0b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	45.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	47.5b	(log.f64 (+.f64 x x))
	30.6b	x

Compiler

Compiled 85 to 64 computations (24.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
702×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	159	15
2	1913	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-neg_binary64`
504×	`div-sub_binary64`
428×	`cancel-sign-sub-inv_binary64`
278×	`fma-def_binary64`
250×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	795
1	280	698
2	928	592
3	4310	592

Stop Event

1×	node limit

Counts

49 → 60

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize6.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series4.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`pow1_binary64`
913×	`add-log-exp_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	211	18
2	2583	18

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Outputs

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

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

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-neg_binary64`
555×	`fma-def_binary64`
398×	`unswap-sqr_binary64`
271×	`associate-+l+_binary64`
227×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	1246
1	494	1170
2	1603	1150
3	7427	1138

Stop Event

1×	node limit

Counts

76 → 132

Calls

Call 1

Inputs
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (.f64 4 (.f64 x x)) (-.f64 (.f64 2 x) (/.f64 1/2 x))) (/.f64 (.f64 1/4 (pow.f64 x -2)) (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2)) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (.f64 2 x))))))
(.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 2 x) (/.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (.f64 2 x)))) (+.f64 (pow.f64 (*.f64 2 x) 3) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (.f64 2 x) (/.f64 1/2 x)) (-.f64 (.f64 4 (.f64 x x)) (.f64 1/4 (pow.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 1/4 (pow.f64 x -2)) (-.f64 (.f64 4 (.f64 x x)) (.f64 2 (.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 1/4 (pow.f64 x -2))) (-.f64 (.f64 2 x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 1/4 (pow.f64 x -2)))) (neg.f64 (-.f64 (.f64 2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (.f64 4 (.f64 x x))) (-.f64 (/.f64 1/2 x) (.f64 2 x)))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) (*.f64 2 x))
(fma.f64 1 (*.f64 2 x) (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) (*.f64 2 x))
(fma.f64 (/.f64 1 x) 1/2 (*.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/2 x)) (.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (.f64 2 x)) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (.f64 2 x)) (/.f64 1/2 x))
(+.f64 0 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 1/4 (pow.f64 x -2)))) (log.f64 (-.f64 (.f64 2 x) (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x))))))
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.5b	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	1.7b	(-.f64 x (hypot.f64 1 x))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
0.0ms	x	@	inf	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
0.0ms	x	@	-inf	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
0.0ms	x	@	inf	(-.f64 x (hypot.f64 1 x))
0.0ms	x	@	0	(-.f64 x (hypot.f64 1 x))

rewrite45.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`pow1_binary64`
769×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
754×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	164	19
2	2066	19

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(-.f64 x (hypot.f64 1 x))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))

Outputs

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

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

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

327×	`distribute-rgt-in_binary64`
325×	`log-prod_binary64`
296×	`distribute-lft-in_binary64`
295×	`unswap-sqr_binary64`
260×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	1307
1	633	1227
2	2173	1172
3	7823	1172

Stop Event

1×	node limit

Counts

85 → 151

Calls

Call 1

Inputs
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x)) 1)
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 x (neg.f64 (hypot.f64 1 x)))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(+.f64 (neg.f64 (hypot.f64 1 x)) x)
(*.f64 1 (-.f64 x (hypot.f64 1 x)))
(*.f64 (-.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x))))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 1 x)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x))) (*.f64 x (neg.f64 (hypot.f64 1 x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))) (-.f64 x (neg.f64 (hypot.f64 1 x))))
(pow.f64 (-.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (neg.f64 (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(+.f64 0 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (*.f64 (-.f64 x (hypot.f64 1 x)) -1)))
(-.f64 0 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (+.f64 (.f64 (log.f64 -1) (log.f64 -1)) (+.f64 (.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (.f64 (log.f64 -1) (log.f64 -1)) (.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 x))))) (+.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)
(neg.f64 (log.f64 (*.f64 (-.f64 x (hypot.f64 1 x)) -1)))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))

Outputs
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) x) -1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x -1/2) -1))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) x)) -1)
(+.f64 -1 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) x) (fma.f64 1/8 (pow.f64 x 4) -1))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 (pow.f64 x 7) -5/112 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 x (neg.f64 (hypot.f64 1 x)))
(-.f64 x (hypot.f64 1 x))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(-.f64 x (hypot.f64 1 x))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(-.f64 x (hypot.f64 1 x))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(-.f64 x (hypot.f64 1 x))
(+.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(-.f64 x (hypot.f64 1 x))
(+.f64 (neg.f64 (hypot.f64 1 x)) x)
(-.f64 x (hypot.f64 1 x))
(*.f64 1 (-.f64 x (hypot.f64 1 x)))
(-.f64 x (hypot.f64 1 x))
(*.f64 (-.f64 x (hypot.f64 1 x)) 1)
(-.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2))
(-.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 x (hypot.f64 1 x))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (+.f64 x (hypot.f64 1 x)))
(/.f64 -1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (+.f64 x (hypot.f64 1 x)))
(/.f64 -1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (+.f64 x (hypot.f64 1 x)))
(/.f64 -1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (+.f64 x (hypot.f64 1 x)))
(/.f64 -1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (hypot.f64 1 x)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x))) (*.f64 x (neg.f64 (hypot.f64 1 x))))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))) (-.f64 x (neg.f64 (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (-.f64 x (neg.f64 (hypot.f64 1 x))))
(/.f64 (-.f64 x (hypot.f64 1 x)) (/.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (-.f64 x (hypot.f64 1 x)) 1)
(-.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3) 1/3)
(-.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) 3)
(-.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) 2)
(-.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))
(-.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(-.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 x (hypot.f64 1 x))
(fma.f64 1 x (neg.f64 (hypot.f64 1 x)))
(-.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(-.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(-.f64 x (hypot.f64 1 x))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(+.f64 0 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 3 (log.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (*.f64 (-.f64 x (hypot.f64 1 x)) -1)))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 0 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (+.f64 (.f64 (log.f64 -1) (log.f64 -1)) (+.f64 (.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (fma.f64 (log.f64 -1) (log.f64 -1) (*.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 3)) (fma.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 (hypot.f64 1 x) x)) (*.f64 (log.f64 -1) (log.f64 -1))))
(/.f64 (-.f64 (.f64 (log.f64 -1) (log.f64 -1)) (.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 x (hypot.f64 1 x))))) (+.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (*.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (*.f64 (-.f64 x (hypot.f64 1 x)) -1)))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1))
(log1p.f64 (+.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) -1))
(log1p.f64 (+.f64 -1 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))

eval108.0ms (2.3%)

Compiler: Compiled 5276 to 3985 computations (24.5% saved)

prune48.0ms (1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	341	2	343
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	342	8	350

Error

Counts

350 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.1b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	45.5b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	47.8b	(log.f64 (/.f64 -1/2 x))
▶	47.3b	(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
✓	47.0b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	45.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	47.5b	(log.f64 (+.f64 x x))
	30.6b	x

Compiler

Compiled 59 to 45 computations (23.7% saved)

localize19.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 49 to 39 computations (20.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
369×	`exp-prod_binary64`
288×	`fma-def_binary64`
275×	`pow2_binary64`
268×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	234	11
2	2869	11

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

857×	`fma-def_binary64`
674×	`fma-neg_binary64`
269×	`*-commutative_binary64`
255×	`distribute-rgt-in_binary64`
240×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	760
1	325	733
2	783	721
3	2277	719
4	7720	719

Stop Event

1×	node limit

Counts

48 → 78

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 0 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))) -1)
(.f64 (/.f64 -1 (fma.f64 (pow.f64 x -3) 1/8 (.f64 8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (.f64 4 (.f64 x x))))
(.f64 (/.f64 -1 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x -2) 1/4))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3) 1/3)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) 2)
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(neg.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1) 1))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(.f64 x (fma.f64 x (.f64 x 8) -2))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x)))
(fma.f64 x (fma.f64 x (.f64 x 8) -2) (.f64 -32 (pow.f64 x 5)))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 128 (pow.f64 x 7)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/128 (pow.f64 x 7))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (/.f64 -1/32 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5)))) (/.f64 1/128 (pow.f64 x 7)))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/128 (pow.f64 x 7))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))) (/.f64 -1/32 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5)))) (/.f64 1/128 (pow.f64 x 7)))
(+.f64 0 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))) -1)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (/.f64 -1 (fma.f64 (pow.f64 x -3) 1/8 (.f64 8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (.f64 4 (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 1/2 x) (+.f64 (.f64 -2 x) (/.f64 1/2 x)) (.f64 4 (.f64 x x)))) (fma.f64 (pow.f64 x -3) 1/8 (.f64 8 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 -1/2 x)) (.f64 (.f64 x x) -4)) (fma.f64 8 (pow.f64 x 3) (.f64 1/8 (pow.f64 x -3))))
(/.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2 x (/.f64 1/2 x)) x) (.f64 (.f64 x x) -4)) (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3))))
(.f64 (/.f64 -1 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x -2) 1/4))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (fma.f64 2 x (/.f64 -1/2 x))) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x -2) -1/4)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x -2) -1/4)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x)))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (E.f64) (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))
(/.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3) 1/3)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) 2)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))))
(neg.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))
(/.f64 1 (fma.f64 x 2 (/.f64 1/2 x)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)) 1/3))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) 3))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) 2))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1) 1))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.5b	(log.f64 (-.f64 (hypot.f64 1 x) x))
✓	1.7b	(-.f64 (hypot.f64 1 x) x)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`pow1_binary64`
584×	`add-log-exp_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
572×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	122	16
2	1569	16

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(-.f64 (hypot.f64 1 x) x)
(log.f64 (-.f64 (hypot.f64 1 x) x))

Outputs

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

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

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

399×	`unswap-sqr_binary64`
303×	`fma-neg_binary64`
266×	`associate-+l+_binary64`
226×	`associate-/r*_binary64`
213×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	1333
1	603	1096
2	2075	1009
3	7839	1009

Stop Event

1×	node limit

Counts

83 → 152

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))

Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 -1 x (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (-.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (neg.f64 x))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
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(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 x (+.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 (+.f64 x x) (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))

eval92.0ms (2%)

Compiler: Compiled 4462 to 3427 computations (23.2% saved)

prune43.0ms (0.9%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	282	1	283
Fresh	0	1	1
Picked	0	1	1
Done	1	5	6
Total	283	8	291

Error

Counts

291 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.1b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	45.5b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	47.3b	(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	47.8b	(log.f64 (/.f64 -1/2 x))
✓	47.0b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	45.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	47.5b	(log.f64 (+.f64 x x))
	30.6b	x

Compiler

Compiled 56 to 42 computations (25% saved)

localize56.0ms (1.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite89.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
788×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
774×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	161	8
2	2135	8

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-neg_binary64`
420×	`associate-l_binary64`
403×	`associate-r_binary64`
396×	`fma-def_binary64`
352×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	760
1	276	638
2	959	615
3	5008	608

Stop Event

1×	node limit

Counts

50 → 52

Calls

Call 1

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

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

eval118.0ms (2.5%)

Compiler: Compiled 882 to 653 computations (26% saved)

prune23.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	52	8	60

Error

Counts

60 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.1b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	45.5b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	47.3b	(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	47.8b	(log.f64 (/.f64 -1/2 x))
✓	47.0b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	45.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	47.5b	(log.f64 (+.f64 x x))
	30.6b	x

Compiler

Compiled 56 to 42 computations (25% saved)

regimes69.0ms (1.5%)

Counts

11 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

3 calls:

46.0ms	x
12.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0b	3	`x`
8.0b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
8.0b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 99 to 71 computations (28.3% saved)

bsearch46.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.246262242653036e-17	12957.805576749779
22.0ms	-7.662970694920682	-1.4491191312745023e-5

Results

41.0ms

320×

body

256

valid

Compiler

Compiled 407 to 323 computations (20.6% saved)

regimes17.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 56 to 41 computations (26.8% saved)

bsearch62.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	3.246262242653036e-17	12957.805576749779
38.0ms	-7.662970694920682	-1.4491191312745023e-5

Results

55.0ms

320×

body

256

valid

Compiler

Compiled 425 to 341 computations (19.8% saved)

regimes13.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))

Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch57.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	3.246262242653036e-17	12957.805576749779
18.0ms	-7.662970694920682	-1.4491191312745023e-5

Results

53.0ms

320×

body

256

valid

Compiler

Compiled 359 to 275 computations (23.4% saved)

regimes11.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch45.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	3.246262242653036e-17	12957.805576749779
18.0ms	-7.662970694920682	-1.4491191312745023e-5

Results

41.0ms

320×

body

256

valid

Compiler

Compiled 314 to 239 computations (23.9% saved)

regimes11.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(log.f64 (/.f64 -1/2 x))
x
(log.f64 (+.f64 x x))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch52.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.246262242653036e-17	12957.805576749779
31.0ms	-7.662970694920682	-1.4491191312745023e-5

Results

48.0ms

320×

body

256

valid

Compiler

Compiled 194 to 139 computations (28.4% saved)

regimes26.0ms (0.6%)

Accuracy

Total -47.4b remaining (-308.2%)

Threshold costs -47.4b (-308.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
15.4b	2	`x`

Compiler

Compiled 8 to 4 computations (50% saved)

bsearch21.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	3.246262242653036e-17	12957.805576749779

Results

19.0ms

176×

body

256

valid

Compiler

Compiled 113 to 76 computations (32.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	214
1	66	214
2	78	214
3	84	214
4	86	214

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1890791267555229/2305843009213693952) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x -1890791267555229/2305843009213693952) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1890791267555229/2305843009213693952) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (neg.f64 (log.f64 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))
x

Compiler

Compiled 151 to 109 computations (27.8% saved)

soundness191.0ms (4.1%)

Algorithm

5×	egg-herbie

Rules

680×	`fma-def_binary64`
673×	`fma-neg_binary64`
418×	`unswap-sqr_binary64`
367×	`log-prod_binary64`
327×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	9
2	14	9
0	210	1257
1	551	1069
2	1721	993
3	6800	993
0	236	1307
1	633	1227
2	2173	1172
3	7823	1172
0	8	12
1	13	9
2	14	9
0	8	12
1	13	9
2	14	9

Stop Event

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

Compiler

Compiled 256 to 180 computations (29.7% saved)

end108.0ms (2.3%)

Compiler: Compiled 145 to 97 computations (33.1% saved)

Details

analyze89.0ms (1.9%)

sample2.3s (50.6%)

preprocess15.0ms (0.3%)

simplify6.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite44.0ms (0.9%)

simplify57.0ms (1.2%)

eval38.0ms (0.8%)

prune21.0ms (0.5%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite47.0ms (1%)

simplify43.0ms (0.9%)

localize4.0ms (0.1%)

localize6.0ms (0.1%)

localize15.0ms (0.3%)

series4.0ms (0.1%)

rewrite50.0ms (1.1%)

simplify59.0ms (1.3%)

localize11.0ms (0.2%)

series3.0ms (0.1%)

rewrite45.0ms (1%)

simplify62.0ms (1.3%)

eval108.0ms (2.3%)

prune48.0ms (1%)

localize19.0ms (0.4%)

series1.0ms (0%)

rewrite48.0ms (1%)

simplify58.0ms (1.3%)

localize11.0ms (0.2%)

series3.0ms (0.1%)

rewrite42.0ms (0.9%)

simplify60.0ms (1.3%)

eval92.0ms (2%)

prune43.0ms (0.9%)

localize56.0ms (1.2%)

series1.0ms (0%)

rewrite89.0ms (1.9%)

simplify87.0ms (1.9%)

eval118.0ms (2.5%)

prune23.0ms (0.5%)

regimes69.0ms (1.5%)

bsearch46.0ms (1%)

regimes17.0ms (0.4%)

bsearch62.0ms (1.3%)

regimes13.0ms (0.3%)

bsearch57.0ms (1.2%)

regimes11.0ms (0.2%)

bsearch45.0ms (1%)

regimes11.0ms (0.2%)

bsearch52.0ms (1.1%)

regimes26.0ms (0.6%)

bsearch21.0ms (0.5%)

simplify10.0ms (0.2%)

soundness191.0ms (4.1%)

end108.0ms (2.3%)

Profiling