Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample571.0ms (12.2%)

Results

561.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.3%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% 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	10	17
1	15	14
2	16	14

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

eval1.0ms (0%)

Compiler: Compiled 33 to 20 computations (39.4% 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

30.8b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	3.3b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms	x	@	inf	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
0.0ms	x	@	-inf	(+.f64 (fabs.f64 x) (hypot.f64 1 x))

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary64`
600×	`add-log-exp_binary64`
600×	`log1p-expm1-u_binary64`
600×	`expm1-log1p-u_binary64`
588×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	142	16
2	1873	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary64`
763×	`fma-neg_binary64`
426×	`unswap-sqr_binary64`
277×	`associate-+l+_binary64`
249×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	1421
1	591	1207
2	1884	1016
3	7887	1014

Stop Event

1×	node limit

Counts

80 → 151

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 0 (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)))))
(+.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 (+.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
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 (.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4) (fma.f64 (.f64 1/720 (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))) (pow.f64 x 6) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+.f64 1 (log.f64 x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+.f64 1 (fma.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (*.f64 x x)) x) (log.f64 x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 (fabs.f64 x) -3 (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))))
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 x -3 (.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (.f64 x x)) x) (log.f64 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(-.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x))))
(-.f64 (-.f64 (/.f64 1/2 (/.f64 (.f64 x x) (-.f64 1 (.f64 x x)))) (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) -1) (log.f64 (/.f64 -1 x)))
(-.f64 (fma.f64 (/.f64 1/2 (.f64 x x)) (-.f64 1 (.f64 x x)) -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (fabs.f64 x) x) (.f64 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) -1/6))))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (fma.f64 (/.f64 (fma.f64 (fabs.f64 x) -3 (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) -1/6 (/.f64 (neg.f64 (fabs.f64 x)) x)) (log.f64 (/.f64 -1 x))))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 x -3 (*.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) -1/6 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 1 (fabs.f64 x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fabs.f64 x)))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 1/2 (*.f64 x x) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x)))))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 (pow.f64 x 6) 1/16 x)))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(+.f64 x x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/2 x))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(+.f64 x (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (fabs.f64 x)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (+.f64 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 -1 x)
(neg.f64 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(+.f64 (fabs.f64 x) (neg.f64 x))
(-.f64 (fabs.f64 x) x)
0
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(+.f64 0 (log.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 (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 (+.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 1 (+.f64 x (-.f64 (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 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 (hypot.f64 1 x) 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 (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)) (/.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 1 (+.f64 (.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 (+.f64 x 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 (hypot.f64 1 x) 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 (hypot.f64 1 x) 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 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (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 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval50.0ms (1.1%)

Compiler: Compiled 2658 to 1709 computations (35.7% saved)

prune32.0ms (0.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	135	16	151
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	16	152

Error

0.0b

Counts

152 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	30.0b	(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))) x)
▶	30.1b	(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
	30.0b	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
	45.1b	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	45.1b	(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
▶	57.8b	(copysign.f64 (+.f64 1 (log.f64 x)) x)
▶	26.0b	(copysign.f64 (log1p.f64 x) x)
	45.1b	(copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)
▶	46.1b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	48.9b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	45.1b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	47.5b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
	47.6b	(copysign.f64 (log.f64 (+.f64 x x)) x)
	52.0b	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	56.5b	(copysign.f64 (log.f64 (+.f64 1 x)) x)
▶	58.6b	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 446 to 324 computations (27.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(log1p.f64 x)

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

Outputs

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

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 98

Calls

Call 1

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

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

localize7.0ms (0.1%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series39.0ms (0.8%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(+.f64 1 (log.f64 x))
13.0ms	x	@	-inf	(+.f64 1 (log.f64 x))
6.0ms	x	@	inf	(+.f64 1 (log.f64 x))

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`pow1_binary64`
464×	`add-sqr-sqrt_binary64`
456×	`*-un-lft-identity_binary64`
443×	`add-log-exp_binary64`
443×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	99	6
2	1208	6

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

676×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
365×	`associate-/r*_binary64`
353×	`fma-neg_binary64`
292×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	465
1	200	316
2	554	316
3	2937	316

Stop Event

1×	node limit

Counts

38 → 38

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	0.8b	(-.f64 (hypot.f64 1 x) x)
✓	3.3b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
707×	`add-log-exp_binary64`
707×	`log1p-expm1-u_binary64`
707×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	150	28
2	1950	28

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-/l*_binary64`
312×	`fma-neg_binary64`
271×	`distribute-rgt-in_binary64`
237×	`distribute-lft-in_binary64`
235×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	1879
1	822	1652
2	2899	1586

Stop Event

1×	node limit

Counts

127 → 212

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

localize52.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 x) 2)
✓	0.4b	(/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))
✓	1.0b	(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
✓	16.2b	(/.f64 (*.f64 x x) (+.f64 1 x))

Compiler

Compiled 124 to 84 computations (32.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
1.0ms	x	@	0	(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
1.0ms	x	@	inf	(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
0.0ms	x	@	0	(/.f64 (*.f64 x x) (+.f64 1 x))
0.0ms	x	@	inf	(/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))

rewrite81.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`fma-def_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
307×	`fma-neg_binary64`
296×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	399	66
2	5252	66

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) (+.f64 1 x))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
(/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))
(pow.f64 (+.f64 1 x) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x x) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 x x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 (log1p.f64 x))) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (.f64 x x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) (-.f64 1 (.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 x x) (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (.f64 x x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 x x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 x x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 x x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)) (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 1) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 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1/2 (log1p.f64 x)) 2) (.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))) (pow.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)) 2)) (-.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 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x) (+.f64 x 1)) 1/2 (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/8 (pow.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (/.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))) (cbrt.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)) (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x 1) -2) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/512 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 x 1) 2) -8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/8) (pow.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/512 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1/8) (.f64 2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 -1/8) (.f64 2 (log1p.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x 1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x 1) x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x 1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (+.f64 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x))) (.f64 (-.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (-.f64 x 1) 1) (fma.f64 x (-.f64 x 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (pow.f64 x 3))) (.f64 (-.f64 1 x) (fma.f64 x (-.f64 x 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 (.f64 x x))) (.f64 (fma.f64 x (-.f64 x 1) 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x 1)) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) 1 (.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) (.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 x)) (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 x)) (.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 (+.f64 x 1) x))))))

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

700×	`times-frac_binary64`
562×	`associate-/l*_binary64`
419×	`unswap-sqr_binary64`
382×	`associate-/r*_binary64`
370×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	3414
1	1002	3250
2	3183	3167

Stop Event

1×	node limit

Counts

182 → 285

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
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 -1/6 (pow.f64 x 6)) x)))
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (.f64 5/8 x) (.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 5/8 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 -1 (log.f64 (/.f64 1 x))))) 3/4)
(-.f64 (+.f64 (.f64 5/8 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 15/8 (/.f64 1 x))))) 3/4)
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (.f64 5/8 x) (.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 5/8 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3/4)
(-.f64 (+.f64 (.f64 5/8 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 15/8 (/.f64 1 x)))))) 3/4)
-1/8
(-.f64 (*.f64 1/4 x) 1/8)
(-.f64 (+.f64 (.f64 1/4 x) (.f64 -3/8 (pow.f64 x 2))) 1/8)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 1/4 x) (*.f64 -3/8 (pow.f64 x 2)))) 1/8)
(/.f64 -1/8 (pow.f64 x 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1/8 (pow.f64 x 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1)))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))
(.f64 x (.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))))
(.f64 (.f64 x x) (exp.f64 (neg.f64 (log1p.f64 x))))
(.f64 1 (/.f64 (.f64 x x) (+.f64 x 1)))
(.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1)
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x 1))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (.f64 x x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(.f64 (/.f64 (.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(.f64 (/.f64 (.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) 3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) -1)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(+.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)) (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(+.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(+.f64 (.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 1) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(+.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2)) (log1p.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))) 1)
(.f64 1 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))
(.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))) 1)
(.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) (sqrt.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 3) (pow.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)) 3)) (fma.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (-.f64 (pow.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)) 2) (.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))) (pow.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)) 2)) (-.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))
(pow.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))))
(log.f64 (.f64 (exp.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))) (exp.f64 (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) (exp.f64 (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))) (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))) 1)
(.f64 1 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))
(.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) 1)
(*.f64 1/8 (/.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 2))))
(.f64 (cbrt.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))))
(.f64 (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))) (cbrt.f64 (.f64 -1/8 (pow.f64 (+.f64 x 1) -2))))
(*.f64 (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)) (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) -2) -1/8)
(pow.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)) 2)
(pow.f64 (*.f64 -1/512 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -8) -1)
(sqrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4)))
(log.f64 (pow.f64 (exp.f64 -1/8) (pow.f64 (+.f64 x 1) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))))
(cbrt.f64 (*.f64 -1/512 (pow.f64 (pow.f64 (+.f64 x 1) -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))))
(log1p.f64 (expm1.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))))
(exp.f64 (-.f64 (log.f64 -1/8) (*.f64 2 (log1p.f64 x))))
(exp.f64 (.f64 (-.f64 (log.f64 -1/8) (.f64 2 (log1p.f64 x))) 1))
(+.f64 (+.f64 x 1) (*.f64 x (+.f64 x 1)))
(+.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) x))
(+.f64 (*.f64 x (+.f64 x 1)) (+.f64 x 1))
(+.f64 (*.f64 (+.f64 x 1) x) (+.f64 x 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 2))) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 2))
(*.f64 (+.f64 x 1) (+.f64 x 1))
(*.f64 (pow.f64 (+.f64 x 1) 2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (+.f64 x 1) 4)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x 1)))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))
(.f64 (.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x))) (.f64 (-.f64 1 x) (-.f64 1 x)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (.f64 (fma.f64 x (-.f64 x 1) 1) (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (fma.f64 x (-.f64 x 1) 1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 (.f64 x x))) (*.f64 (fma.f64 x (-.f64 x 1) 1) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x 1)) (fma.f64 x (-.f64 x 1) 1))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(/.f64 (.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))) (-.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x 1) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 2)))
(exp.f64 (*.f64 2 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 2 (log1p.f64 x)) 1))
(fma.f64 x (+.f64 x 1) (+.f64 x 1))
(fma.f64 1 (+.f64 x 1) (*.f64 x (+.f64 x 1)))
(fma.f64 1 (+.f64 x 1) (*.f64 (+.f64 x 1) x))
(fma.f64 (+.f64 x 1) x (+.f64 x 1))
(fma.f64 (+.f64 x 1) 1 (*.f64 x (+.f64 x 1)))
(fma.f64 (+.f64 x 1) 1 (*.f64 (+.f64 x 1) x))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 x (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (+.f64 x 1) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 x (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) x))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) x))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) (*.f64 x (+.f64 x 1)))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) (*.f64 (+.f64 x 1) x))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 x)) (.f64 x (+.f64 x 1)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 x)) (.f64 (+.f64 x 1) x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 (+.f64 x 1) x))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 -1 (pow.f64 x 3) (*.f64 x x))
(-.f64 (*.f64 x x) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (*.f64 x x)))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))
(.f64 (.f64 x x) (-.f64 (fma.f64 x x 1) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 5)) (pow.f64 x 3))
(-.f64 (.f64 (.f64 x x) (-.f64 (fma.f64 x x 1) x)) (pow.f64 x 5))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (+.f64 x -1))
(+.f64 -1 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 x (+.f64 1 (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 x (/.f64 1 x)) (-.f64 -1 (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 x (+.f64 -1 (/.f64 -1 (*.f64 x x)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (+.f64 x -1))
(+.f64 -1 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 x (+.f64 1 (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 x (/.f64 1 x)) (-.f64 -1 (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 x (+.f64 -1 (/.f64 -1 (*.f64 x x)))))
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 -1/6 (pow.f64 x 6)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 6) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -1/6 (pow.f64 x 6) x)))
(*.f64 -1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/8)
(+.f64 (.f64 5/8 x) (.f64 -1/8 (pow.f64 x 3)))
(fma.f64 5/8 x (*.f64 (pow.f64 x 3) -1/8))
(fma.f64 (pow.f64 x 3) -1/8 (*.f64 x 5/8))
(-.f64 (+.f64 (.f64 5/8 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (*.f64 -1 (log.f64 (/.f64 1 x))))) 3/4)
(+.f64 (fma.f64 5/8 x (fma.f64 -1/8 (pow.f64 x 3) (neg.f64 (neg.f64 (log.f64 x))))) -3/4)
(+.f64 (fma.f64 x 5/8 (fma.f64 (pow.f64 x 3) -1/8 (log.f64 x))) -3/4)
(+.f64 (fma.f64 (pow.f64 x 3) -1/8 (log.f64 x)) (fma.f64 x 5/8 -3/4))
(-.f64 (+.f64 (.f64 5/8 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 15/8 (/.f64 1 x))))) 3/4)
(+.f64 (fma.f64 5/8 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 15/8 x)))) -3/4)
(+.f64 (fma.f64 x 5/8 (fma.f64 (pow.f64 x 3) -1/8 (+.f64 (/.f64 15/8 x) (log.f64 x)))) -3/4)
(+.f64 (+.f64 (fma.f64 (pow.f64 x 3) -1/8 (log.f64 x)) (/.f64 15/8 x)) (fma.f64 x 5/8 -3/4))
(*.f64 -1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/8)
(+.f64 (.f64 5/8 x) (.f64 -1/8 (pow.f64 x 3)))
(fma.f64 5/8 x (*.f64 (pow.f64 x 3) -1/8))
(fma.f64 (pow.f64 x 3) -1/8 (*.f64 x 5/8))
(-.f64 (+.f64 (.f64 5/8 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3/4)
(+.f64 (fma.f64 5/8 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) -3/4)
(+.f64 (fma.f64 x 5/8 (fma.f64 (pow.f64 x 3) -1/8 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) -3/4)
(+.f64 (fma.f64 (pow.f64 x 3) -1/8 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 x 5/8 -3/4))
(-.f64 (+.f64 (.f64 5/8 x) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 15/8 (/.f64 1 x)))))) 3/4)
(+.f64 (fma.f64 5/8 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 15/8 x) (log.f64 -1))))) -3/4)
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(.f64 (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 x)) (+.f64 x 1))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 x)) (-.f64 x -1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(/.f64 (+.f64 x 1) (/.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 (pow.f64 x 3) 1)))
(/.f64 (+.f64 (pow.f64 x 3) 1) (/.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 x 1)))
(*.f64 (/.f64 (-.f64 x -1) (fma.f64 x (+.f64 x -1) 1)) (+.f64 (pow.f64 x 3) 1))
(/.f64 (.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))) (-.f64 1 x))
(/.f64 (+.f64 x 1) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 x)) (+.f64 x 1))
(.f64 (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 x)) (-.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x 1) 4))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 2))))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(exp.f64 (*.f64 2 (log1p.f64 x)))
(pow.f64 (exp.f64 2) (log1p.f64 x))
(exp.f64 (.f64 (.f64 2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 2) (log1p.f64 x))
(fma.f64 x (+.f64 x 1) (+.f64 x 1))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 1 (+.f64 x 1) (*.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 1 (+.f64 x 1) (*.f64 (+.f64 x 1) x))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (+.f64 x 1) x (+.f64 x 1))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (+.f64 x 1) 1 (*.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (+.f64 x 1) 1 (*.f64 (+.f64 x 1) x))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (+.f64 x 1) x))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) x))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) x))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 (-.f64 x -1) 2)
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) (*.f64 x (+.f64 x 1)))
(fma.f64 (+.f64 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 x x x) (/.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) (*.f64 (+.f64 x 1) x))
(fma.f64 (+.f64 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 x x x) (/.f64 (+.f64 (pow.f64 x 3) 1) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 x)) (.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 x)) (.f64 (+.f64 x 1) x))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 1 (-.f64 1 x)) (.f64 x (+.f64 x 1)))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (fabs.f64 (cbrt.f64 (+.f64 x 1))) (fma.f64 x x x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 x -1) 4))) (cbrt.f64 (-.f64 x -1)) (fma.f64 x x x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 (+.f64 x 1) x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (*.f64 x (+.f64 x 1)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 4))) (fabs.f64 (cbrt.f64 (+.f64 x 1))) (fma.f64 x x x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 x -1) 4))) (cbrt.f64 (-.f64 x -1)) (fma.f64 x x x))

eval299.0ms (6.4%)

Compiler: Compiled 15274 to 10488 computations (31.3% saved)

prune119.0ms (2.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	628	5	633
Fresh	6	5	11
Picked	1	0	1
Done	2	2	4
Total	637	12	649

Error

0.0b

Counts

649 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(copysign.f64 (+.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))) x)
▶	29.9b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
▶	29.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	46.1b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	26.0b	(copysign.f64 (log1p.f64 x) x)
	45.1b	(copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)
	48.9b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	45.1b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	47.5b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
▶	47.6b	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	58.6b	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	29.1b	(copysign.f64 x x)

Compiler

Compiled 227 to 159 computations (30% saved)

localize3.0ms (0.1%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize7.0ms (0.1%)

Compiler: Compiled 15 to 4 computations (73.3% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite36.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
499×	`add-sqr-sqrt_binary64`
477×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1325	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1136×	`log-prod_binary64`
454×	`exp-sum_binary64`
411×	`distribute-rgt-in_binary64`
404×	`distribute-lft-in_binary64`
324×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	143
1	96	110
2	310	77
3	1861	77
4	5973	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

localize33.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 x (hypot.f64 1 x))
✓	3.3b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite45.0ms (1%)

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)))))

simplify60.0ms (1.3%)

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))

localize23.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 3/40 (pow.f64 x 5))
	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	19.1b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Compiler

Compiled 57 to 43 computations (24.6% saved)

series3.0ms (0.1%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
1.0ms	x	@	0	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	0	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

rewrite62.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
547×	`fma-def_binary64`
332×	`pow2_binary64`
319×	`fma-neg_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	279	22
2	3518	22

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 3/40 (pow.f64 x 5))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))))) (#(struct:change 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) 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#<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/6) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) 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egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 10) 9/1600 (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))))))

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-neg_binary64`
775×	`fma-def_binary64`
401×	`distribute-rgt-in_binary64`
384×	`distribute-lft-in_binary64`
241×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	2117
1	660	2070
2	1781	2022
3	7319	2022

Stop Event

1×	node limit

Counts

110 → 129

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (.f64 x x) (.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 2) (.f64 x x)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (.f64 (exp.f64 x) (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (exp.f64 x)))
(log.f64 (.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 x 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 x (.f64 (.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 3/40 (pow.f64 x 5)) 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 1 (.f64 3/40 (pow.f64 x 5)) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (.f64 x x) (.f64 x -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 (pow.f64 (cbrt.f64 x) 5) 3/40) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) 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)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 9/1600))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 10) 9/1600 (neg.f64 (.f64 x x))) (/.f64 1 (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (.f64 -1/6 x) (.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (.f64 -1/6 (.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (.f64 x x) (.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 2) (.f64 x (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x x (.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 2) (.f64 x x)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2) 1/2)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) -1)
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)
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(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 (pow.f64 (cbrt.f64 x) 5) 3/40) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (pow.f64 (cbrt.f64 x) 5)) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
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(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
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(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -1/6 (pow.f64 x 3) x))
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(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (fma.f64 3/40 (pow.f64 x 5) x))
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(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
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(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
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(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(*.f64 3/40 (pow.f64 x 5))

eval112.0ms (2.4%)

Compiler: Compiled 5388 to 3936 computations (26.9% saved)

prune47.0ms (1%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	5	5
Picked	0	1	1
Done	0	6	6
Total	292	12	304

Error

0.0b

Counts

304 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.9b	(copysign.f64 (+.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))) x)
✓	29.9b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
✓	29.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	46.1b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	26.0b	(copysign.f64 (log1p.f64 x) x)
▶	45.1b	(copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)
▶	48.9b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	45.1b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	47.5b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	47.6b	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	58.6b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	29.1b	(copysign.f64 x x)

Compiler

Compiled 181 to 128 computations (29.3% saved)

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 3/40 (pow.f64 x 5))
✓	0.1b	(*.f64 -5/112 (pow.f64 x 7))
	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	22.4b	(+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) x))

Compiler

Compiled 92 to 71 computations (22.8% saved)

series3.0ms (0.1%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) x))
1.0ms	x	@	0	(*.f64 -5/112 (pow.f64 x 7))
0.0ms	x	@	inf	(*.f64 -5/112 (pow.f64 x 7))
0.0ms	x	@	-inf	(*.f64 -5/112 (pow.f64 x 7))
0.0ms	x	@	0	(+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) x))

rewrite73.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
531×	`fma-def_binary64`
345×	`pow2_binary64`
294×	`fma-neg_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	279	22
2	3616	22

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 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((x expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5/112 (pow.f64 x 7) (+.f64 x (*.f64 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x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 14) 25/12544)) (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 21) -125/1404928 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 -5/112 (pow.f64 x 7))) (*.f64 (pow.f64 x 14) 25/12544))) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 14) 25/12544 (neg.f64 (*.f64 x x))) (/.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 7/2) (*.f64 (pow.f64 x 7/2) -5/112) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (pow.f64 (cbrt.f64 x) 7) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -5/112 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 14) 25/12544) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 21) -125/1404928) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 21) -125/1404928))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))) 1))))))

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
744×	`fma-neg_binary64`
399×	`distribute-rgt-in_binary64`
382×	`distribute-lft-in_binary64`
336×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	2113
1	654	2078
2	1753	2030
3	7089	2030

Stop Event

1×	node limit

Counts

108 → 127

Calls

Call 1

Inputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 3/40 (*.f64 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (neg.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2) (-.f64 (.f64 x x) (.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (.f64 (pow.f64 x 10) 9/1600)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2) (.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (.f64 (exp.f64 x) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))))))
(log.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40)))
(log.f64 (.f64 (exp.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) (exp.f64 x)))
(log.f64 (.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3/40) (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 x 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 -5/112 (pow.f64 x 7) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 7) -5/112 (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (.f64 -5/112 (pow.f64 x 7)) 1 (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (.f64 -5/112 (pow.f64 x 7)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x)
(fma.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (pow.f64 x 14)) (.f64 (pow.f64 (cbrt.f64 x) 7) -5/112) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 (cbrt.f64 (.f64 -5/112 (pow.f64 x 7))) (cbrt.f64 (.f64 (pow.f64 x 14) 25/12544)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 14) 25/12544)) (cbrt.f64 (.f64 -5/112 (pow.f64 x 7))) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(fma.f64 (.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) (+.f64 x (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (fma.f64 (pow.f64 x 21) -125/1404928 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 -5/112 (pow.f64 x 7))) (.f64 (pow.f64 x 14) 25/12544))) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (fma.f64 (pow.f64 x 14) 25/12544 (neg.f64 (.f64 x x))) (/.f64 1 (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 7/2) (.f64 (pow.f64 x 7/2) -5/112) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) x)
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) x)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (.f64 -5/112 (cbrt.f64 (pow.f64 x 14))) (pow.f64 (cbrt.f64 x) 7) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(fma.f64 (.f64 -5/112 (pow.f64 x 7/2)) (pow.f64 x 7/2) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(+.f64 0 (*.f64 -5/112 (pow.f64 x 7)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(pow.f64 (*.f64 (pow.f64 x 14) 25/12544) 1/2)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 21) -125/1404928) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(cbrt.f64 (*.f64 (pow.f64 x 21) -125/1404928))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (.f64 (log.f64 (.f64 -5/112 (pow.f64 x 7))) 1))

Outputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 9/1600) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))
(.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 9/1600)))
(.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 3/40 (*.f64 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))
(.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (neg.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 9/1600))))
(.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2) (-.f64 (.f64 x x) (.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2) (.f64 x (-.f64 x (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7)))) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) (fma.f64 3/40 (pow.f64 x 5) (-.f64 (.f64 -5/112 (pow.f64 x 7)) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (.f64 (pow.f64 x 10) 9/1600)) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (fma.f64 (pow.f64 x 10) -9/1600 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (fma.f64 (pow.f64 x 5) -3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2) (.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 2) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (-.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2) 1/2)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 3)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
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(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (*.f64 (pow.f64 x 21) -125/1404928) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 21) -125/1404928))
(sqrt.f64 (*.f64 (pow.f64 x 14) 25/12544))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(*.f64 -5/112 (pow.f64 x 7))
(cbrt.f64 (*.f64 (pow.f64 x 21) -125/1404928))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (.f64 (log.f64 (.f64 -5/112 (pow.f64 x 7))) 1))
(*.f64 -5/112 (pow.f64 x 7))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series40.0ms (0.9%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	(log.f64 (/.f64 -1/2 x))
10.0ms	x	@	0	(log.f64 (/.f64 -1/2 x))
9.0ms	x	@	inf	(log.f64 (/.f64 -1/2 x))

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`pow1_binary64`
465×	`add-sqr-sqrt_binary64`
453×	`*-un-lft-identity_binary64`
443×	`add-log-exp_binary64`
442×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	105	6
2	1212	6

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
435×	`log-prod_binary64`
311×	`associate-l_binary64`
295×	`associate-r_binary64`
255×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	300
1	163	290
2	552	290
3	3396	290
4	7039	290

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 22 computations (38.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`pow1_binary64`
871×	`add-log-exp_binary64`
871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
855×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	149	17
2	2329	17

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

378×	`associate-/l*_binary64`
374×	`unswap-sqr_binary64`
355×	`distribute-rgt-in_binary64`
308×	`cancel-sign-sub-inv_binary64`
307×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1263
1	422	1153
2	1655	1065

Stop Event

1×	node limit

Counts

93 → 91

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (hypot.f64 1 x) x)
✓	3.3b	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 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))

rewrite39.0ms (0.8%)

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	9
1	122	9
2	1569	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

599×	`distribute-rgt-in_binary64`
541×	`distribute-lft-in_binary64`
348×	`fma-def_binary64`
323×	`associate-/r*_binary64`
259×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	504
1	280	456
2	865	456
3	3765	456

Stop Event

1×	node limit

Counts

32 → 77

Calls

Call 1

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

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
	0.3b	(+.f64 x (hypot.f64 1 x))
✓	3.3b	(log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2))

Compiler

Compiled 46 to 33 computations (28.3% saved)

series5.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
1.0ms	x	@	-inf	(log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
1.0ms	x	@	0	(log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`pow1_binary64`
708×	`add-log-exp_binary64`
707×	`log1p-expm1-u_binary64`
707×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	187	16
2	2005	16

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)

Outputs

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-neg_binary64`
492×	`fma-def_binary64`
452×	`associate-l_binary64`
420×	`associate-r_binary64`
316×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	955
1	378	755
2	1083	754
3	5274	754

Stop Event

1×	node limit

Counts

66 → 83

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

eval237.0ms (5.1%)

Compiler: Compiled 11818 to 8604 computations (27.2% saved)

prune110.0ms (2.3%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	603	3	606
Fresh	0	0	0
Picked	1	0	1
Done	0	11	11
Total	604	14	618

Error

Counts

618 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(copysign.f64 (+.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))) x)
✓	29.9b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
	46.4b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))) x)
✓	29.9b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	46.1b	(copysign.f64 (neg.f64 (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) x)
	45.6b	(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))) x)
✓	46.1b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	26.0b	(copysign.f64 (log1p.f64 x) x)
✓	48.9b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	45.1b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	47.5b	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	47.6b	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	58.6b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	29.1b	(copysign.f64 x x)

Compiler

Compiled 171 to 124 computations (27.5% saved)

regimes151.0ms (3.2%)

Counts

26 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (neg.f64 (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (+.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))) x)
(copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)
(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))) x)
(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))) x)

Outputs

(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)

(copysign.f64 (+.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))) x)

(copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)

Calls

2 calls:

127.0ms	x
12.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 362 to 250 computations (30.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.013645193874778399	0.26821042504516024
0.0ms	-22.748822180283977	-7.387682681193944e-7

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes65.0ms (1.4%)

Counts

21 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (neg.f64 (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (+.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))) x)

Outputs

(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)

(copysign.f64 (+.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))) x)

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

Calls

2 calls:

32.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
27.0ms	x

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 211 to 139 computations (34.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.013645193874778399	0.26821042504516024
0.0ms	-22.748822180283977	-7.387682681193944e-7

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes56.0ms (1.2%)

Counts

20 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (neg.f64 (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Outputs

(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)

(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)

(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)

Calls

2 calls:

30.0ms	x
10.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 190 to 123 computations (35.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.003672723298950387	0.013645193874778399
0.0ms	-22.748822180283977	-7.387682681193944e-7

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes132.0ms (2.8%)

Counts

17 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (neg.f64 (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)

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

Calls

1 calls:

128.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 141 to 92 computations (34.8% saved)

bsearch36.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.3808036431876665e-5	0.003672731555786767
22.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 382 to 285 computations (25.4% saved)

regimes30.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))) x)

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

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 103 to 66 computations (35.9% saved)

bsearch34.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	4.3808036431876665e-5	0.003672731555786767
20.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 354 to 257 computations (27.4% saved)

regimes20.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 65 to 40 computations (38.5% saved)

bsearch49.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.2714377126299524	7.567446901446695
33.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

44.0ms

272×

body

256

valid

Compiler

Compiled 368 to 264 computations (28.3% saved)

regimes17.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch36.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.2714377126299524	7.567446901446695
22.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 340 to 243 computations (28.5% saved)

regimes21.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 1 (log.f64 x)) x)

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 39 to 23 computations (41% saved)

bsearch61.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.2714377126299524	7.567446901446695
20.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

57.0ms

272×

body

256

valid

Compiler

Compiled 238 to 158 computations (33.6% saved)

regimes15.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
10.6b	3	`x`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch55.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.2714377126299524	7.567446901446695
42.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

52.0ms

272×

body

256

valid

Compiler

Compiled 228 to 148 computations (35.1% saved)

regimes9.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
21.5b	2	`x`

Compiler

Compiled 21 to 12 computations (42.9% saved)

bsearch21.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

regimes14.0ms (0.3%)

Accuracy

Total -5.2b remaining (-21%)

Threshold costs -5.2b (-21%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
24.9b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch13.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	0.2714377126299524	7.567446901446695

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 94 to 61 computations (35.1% saved)

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	599
1	127	599
2	130	599
3	131	599

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/288230376151711744) (copysign.f64 (+.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))) x) (copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/288230376151711744) (copysign.f64 (+.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))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/1152921504606846976) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 6456360425798343/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/288230376151711744) (copysign.f64 (+.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))) x) (copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/288230376151711744) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -5/112 (pow.f64 x 7))))) x) (copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/288230376151711744) (copysign.f64 (+.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))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/288230376151711744) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -5/112 (pow.f64 x 7))))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/1152921504606846976) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/1152921504606846976) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4842270319348757/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 6456360425798343/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 6456360425798343/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5854679515581645/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 408 to 278 computations (31.9% saved)

soundness197.0ms (4.2%)

Algorithm

5×	egg-herbie

Rules

805×	`fma-def_binary64`
805×	`fma-def_binary64`
763×	`fma-neg_binary64`
763×	`fma-neg_binary64`
426×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	15	14
2	16	14
0	219	1421
1	591	1207
2	1884	1016
3	7887	1014
0	10	17
1	15	14
2	16	14
0	219	1421
1	591	1207
2	1884	1016
3	7887	1014
0	10	17
1	15	14
2	16	14

Stop Event

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

Compiler

Compiled 454 to 333 computations (26.7% saved)

end202.0ms (4.3%)

Compiler: Compiled 397 to 249 computations (37.3% saved)