Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
100%	99.6%	0%	0.4%	0%	0%	0%	1

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.3s (21.6%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess13.0ms (0.2%)

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.f32 x)

Outputs
(asinh.f32 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary32`
1×	`1-exp_binary32`
1×	`hypot-1-def_binary32`
1×	`fma-def_binary32`

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.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Outputs

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x 1)))) x)

(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 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

12.6b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.6b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize38.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (fabs.f32 x) (hypot.f32 1 x))
✓	12.5b	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
1.0ms	x	@	inf	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
1.0ms	x	@	-inf	(log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
0.0ms	x	@	-inf	(+.f32 (fabs.f32 x) (hypot.f32 1 x))
0.0ms	x	@	inf	(+.f32 (fabs.f32 x) (hypot.f32 1 x))

rewrite43.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary32`
600×	`add-log-exp_binary32`
600×	`log1p-expm1-u_binary32`
600×	`expm1-log1p-u_binary32`
588×	`add-exp-log_binary32`

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.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x)))
(+.f32 (fabs.f32 x) (hypot.f32 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (*.f32 x x)) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x))) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))))

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary32`
763×	`fma-neg_binary32`
426×	`unswap-sqr_binary32`
277×	`associate-+l+_binary32`
249×	`distribute-rgt-in_binary32`

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.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (+.f32 (.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (pow.f32 x 6))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3 (fabs.f32 x)) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(+.f32 1 (fabs.f32 x))
(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x))))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x)))))
x
(+.f32 (fabs.f32 x) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(*.f32 -1 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (fabs.f32 x) (.f32 -1 x))) (*.f32 1/2 (/.f32 1 x)))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)

Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log1p.f32 x)
(+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))
(fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))
(fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x)))))
(fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/2 (/.f32 (.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))
(fma.f32 (.f32 -1/24 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4) (fma.f32 1/2 (/.f32 (.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))
(fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x)))
(+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 3 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4))) (+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 45 (/.f32 1 (+.f32 1 (fabs.f32 x)))) (+.f32 (.f32 30 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))) (.f32 45 (/.f32 1 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))))) (pow.f32 x 6))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 x 2) (+.f32 1 (fabs.f32 x)))) (log.f32 (+.f32 1 (fabs.f32 x))))))
(fma.f32 -1/24 (.f32 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2))) (pow.f32 x 4)) (fma.f32 1/720 (.f32 (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (+.f32 (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3)) (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 6)) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))))
(fma.f32 (.f32 -1/24 (+.f32 (/.f32 3 (+.f32 1 (fabs.f32 x))) (/.f32 3 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)))) (pow.f32 x 4) (fma.f32 (.f32 1/720 (+.f32 (/.f32 45 (pow.f32 (+.f32 1 (fabs.f32 x)) 2)) (+.f32 (/.f32 45 (+.f32 1 (fabs.f32 x))) (/.f32 30 (pow.f32 (+.f32 1 (fabs.f32 x)) 3))))) (pow.f32 x 6) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))))
(fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 (pow.f32 x 6) (fma.f32 1/720 (+.f32 (/.f32 45 (+.f32 1 x)) (/.f32 30 (pow.f32 (+.f32 1 x) 3))) (/.f32 1/16 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))
(fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 (fabs.f32 x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+.f32 1 (log.f32 x))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x)))
(fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (*.f32 x x)) (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 (fabs.f32 x) x)))
(fma.f32 1/2 (/.f32 (-.f32 1 (.f32 x x)) (.f32 x x)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
(+.f32 1 (fma.f32 (/.f32 1/2 x) (/.f32 (-.f32 1 (*.f32 x x)) x) (log.f32 x)))
(+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 -3 (fabs.f32 x)) (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 (fabs.f32 x) x))))
(fma.f32 1/6 (/.f32 (fma.f32 2 (pow.f32 (fabs.f32 x) 3) (.f32 (fabs.f32 x) -3)) (pow.f32 x 3)) (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (.f32 x x)) (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 (fabs.f32 x) x))))
(fma.f32 1/6 (/.f32 (fma.f32 (fabs.f32 x) -3 (.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)) (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 x x)) (*.f32 x x)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))))
(+.f32 1 (fma.f32 1/6 (/.f32 (fma.f32 x -3 (.f32 2 (pow.f32 x 3))) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (/.f32 (-.f32 1 (.f32 x x)) x) (log.f32 x))))
(*.f32 -1 (log.f32 (/.f32 -1 x)))
(neg.f32 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x)))
(*.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (/.f32 (fabs.f32 x) x))
(-.f32 -1 (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (.f32 -1 (/.f32 (fabs.f32 x) x))))
(fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (.f32 x x)) (.f32 -1 (+.f32 (log.f32 (/.f32 -1 x)) (/.f32 (fabs.f32 x) x))))
(-.f32 (-.f32 (/.f32 1/2 (/.f32 (.f32 x x) (-.f32 1 (.f32 x x)))) (log.f32 (/.f32 -1 x))) (/.f32 (fabs.f32 x) x))
(-.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 x x)) (.f32 x x)) -1) (log.f32 (/.f32 -1 x)))
(-.f32 (fma.f32 (/.f32 1/2 (.f32 x x)) (-.f32 1 (.f32 x x)) -1) (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 (fabs.f32 x) 2))) (pow.f32 x 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 -1 (/.f32 (fabs.f32 x) x)) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (pow.f32 (fabs.f32 x) 3)) (*.f32 -3 (fabs.f32 x))) (pow.f32 x 3))))))
(fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (pow.f32 (fabs.f32 x) 2))) (.f32 x x)) (fma.f32 -1 (log.f32 (/.f32 -1 x)) (fma.f32 -1 (/.f32 (fabs.f32 x) x) (.f32 (/.f32 (fma.f32 2 (pow.f32 (fabs.f32 x) 3) (*.f32 (fabs.f32 x) -3)) (pow.f32 x 3)) -1/6))))
(fma.f32 1/2 (/.f32 (-.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (fma.f32 (/.f32 (fma.f32 (fabs.f32 x) -3 (*.f32 2 (pow.f32 (fabs.f32 x) 3))) (pow.f32 x 3)) -1/6 (/.f32 (neg.f32 (fabs.f32 x)) x)) (log.f32 (/.f32 -1 x))))
(-.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 x x)) (.f32 x x)) (fma.f32 (/.f32 (fma.f32 x -3 (*.f32 2 (pow.f32 x 3))) (pow.f32 x 3)) -1/6 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 1 (fabs.f32 x))
(+.f32 1 x)
(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) (fabs.f32 x)))
(+.f32 1 (fma.f32 1/2 (*.f32 x x) (fabs.f32 x)))
(+.f32 1 (fma.f32 x (*.f32 x 1/2) x))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x))))
(+.f32 1 (fma.f32 1/2 (*.f32 x x) (fma.f32 -1/8 (pow.f32 x 4) (fabs.f32 x))))
(+.f32 1 (fma.f32 1/2 (*.f32 x x) (fma.f32 (pow.f32 x 4) -1/8 (fabs.f32 x))))
(+.f32 (fma.f32 (pow.f32 x 4) -1/8 x) (fma.f32 1/2 (*.f32 x x) 1))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) (fabs.f32 x)))))
(+.f32 1 (fma.f32 1/2 (*.f32 x x) (fma.f32 1/16 (pow.f32 x 6) (fma.f32 -1/8 (pow.f32 x 4) (fabs.f32 x)))))
(+.f32 1 (fma.f32 1/2 (*.f32 x x) (fma.f32 (pow.f32 x 6) 1/16 (fma.f32 (pow.f32 x 4) -1/8 (fabs.f32 x)))))
(+.f32 (fma.f32 1/2 (*.f32 x x) 1) (fma.f32 (pow.f32 x 4) -1/8 (fma.f32 (pow.f32 x 6) 1/16 x)))
x
(+.f32 (fabs.f32 x) x)
(+.f32 x (fabs.f32 x))
(+.f32 x x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x))
(+.f32 (+.f32 x (fabs.f32 x)) (/.f32 1/2 x))
(+.f32 x (+.f32 (fabs.f32 x) (/.f32 1/2 x)))
(+.f32 x (+.f32 x (/.f32 1/2 x)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (fabs.f32 x) x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (/.f32 1/2 x) (-.f32 (+.f32 x (fabs.f32 x)) (/.f32 1/8 (pow.f32 x 3))))
(+.f32 (+.f32 x (fabs.f32 x)) (-.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(+.f32 x (+.f32 (+.f32 x (/.f32 1/2 x)) (/.f32 -1/8 (pow.f32 x 3))))
(+.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 -1/8 (pow.f32 x 3))))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (fabs.f32 x) (*.f32 -1 x))
(+.f32 (fabs.f32 x) (neg.f32 x))
(-.f32 (fabs.f32 x) x)
0
(-.f32 (+.f32 (fabs.f32 x) (.f32 -1 x)) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (/.f32 1/2 x))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 -1/2 x))
(/.f32 -1/2 x)
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (fabs.f32 x) (.f32 -1 x))) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (+.f32 (fabs.f32 x) (neg.f32 x)) (/.f32 1/2 x)))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (-.f32 (fabs.f32 x) x) (/.f32 -1/2 x)))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 -1/2 x))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 -1) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 1 (+.f32 (.f32 x x) (.f32 x (-.f32 x (hypot.f32 1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 x (hypot.f32 1 x)) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x (-.f32 (+.f32 x x) (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 1 (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 x (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 1 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(+.f32 (+.f32 x (hypot.f32 1 x)) 0)
(+.f32 x (hypot.f32 1 x))

eval91.0ms (1.5%)

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

prune56.0ms (0.9%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	128	23	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	24	152

Error

0.1b

Counts

152 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	15.8b	(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))) x)
	15.6b	(copysign.f32 (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x)) x)
	20.5b	(copysign.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) x)
	20.4b	(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
	25.5b	(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))) x)
▶	27.4b	(copysign.f32 (+.f32 1 (log.f32 x)) x)
	20.5b	(copysign.f32 (*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
▶	9.9b	(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
▶	13.5b	(copysign.f32 (log1p.f32 x) x)
▶	19.1b	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
	23.2b	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
	23.2b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
	23.7b	(copysign.f32 (log.f32 (+.f32 (+.f32 x (fabs.f32 x)) (/.f32 1/2 x))) x)
✓	12.6b	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
	20.4b	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
	23.7b	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
	23.9b	(copysign.f32 (log.f32 (+.f32 x x)) x)
	26.1b	(copysign.f32 (log.f32 (+.f32 1 (fma.f32 x (*.f32 x 1/2) x))) x)
	21.9b	(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
	25.6b	(copysign.f32 (log.f32 (+.f32 1 x)) x)
	27.7b	(copysign.f32 (log.f32 (neg.f32 x)) x)
	20.4b	(copysign.f32 (log.f32 (expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))) x)
	21.2b	(copysign.f32 (expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
▶	22.0b	(copysign.f32 (exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)

Compiler

Compiled 542 to 381 computations (29.7% saved)

localize31.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (fabs.f32 x))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series53.0ms (0.9%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log1p.f32 (fabs.f32 x))
16.0ms	x	@	inf	(log1p.f32 (fabs.f32 x))
16.0ms	x	@	-inf	(log1p.f32 (fabs.f32 x))

rewrite71.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

386×	`log1p-udef_binary32`
279×	`associate-r_binary32`
278×	`pow1_binary32`
269×	`add-sqr-sqrt_binary32`
263×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	78	3
2	924	3
3	7862	3

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(log1p.f32 (fabs.f32 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log1p.f32 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (hypot.f32 1 (sqrt.f32 x))) (log.f32 (hypot.f32 1 (sqrt.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 x 1) 2))) (log.f32 (cbrt.f32 (+.f32 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (.f32 x x)) (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log1p.f32 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 x) 1/6) (.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 x) 1/4) (.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (log1p.f32 x) 1/4)) (pow.f32 (log1p.f32 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)) (pow.f32 (log1p.f32 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (log1p.f32 x) 5/2) 1/3) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 x)) (cbrt.f32 (log1p.f32 x))) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (log1p.f32 x) 1/6)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (log1p.f32 x) 1) 3) 1) (+.f32 (.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) (+.f32 1 (+.f32 (log1p.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) 1) (+.f32 (+.f32 (log1p.f32 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 x)))) (sqrt.f32 (log.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 x))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log1p.f32 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (hypot.f32 1 (sqrt.f32 x))) (log.f32 (hypot.f32 1 (sqrt.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 x 1) 2))) (log.f32 (cbrt.f32 (+.f32 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log1p.f32 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 x) 1/6) (*.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 x) 1/4) (*.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (log1p.f32 x) 1/4)) (pow.f32 (log1p.f32 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)) (pow.f32 (log1p.f32 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 x) 5/2) 1/3) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 x)) (cbrt.f32 (log1p.f32 x))) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (log1p.f32 x) 1/6)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (log1p.f32 x) 1) 3) 1) (+.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) (+.f32 1 (+.f32 (log1p.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) 1) (+.f32 (+.f32 (log1p.f32 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 x)))) (sqrt.f32 (log.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 x))) 2))))))

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

489×	`fma-def_binary32`
371×	`fma-neg_binary32`
313×	`cancel-sign-sub-inv_binary32`
304×	`times-frac_binary32`
251×	`log-prod_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	460
1	304	454
2	927	447
3	3977	431

Stop Event

1×	node limit

Counts

60 → 68

Calls

Call 1

Inputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log.f32 (+.f32 1 (fabs.f32 x)))
(+.f32 (+.f32 (log1p.f32 x) 1) -1)
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (hypot.f32 1 (sqrt.f32 x))) (log.f32 (hypot.f32 1 (sqrt.f32 x))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 x 1) 2))) (log.f32 (cbrt.f32 (+.f32 x 1))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (fma.f32 x x x)))
(-.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x))
(-.f32 (+.f32 (log1p.f32 x) 1) 1)
(*.f32 (log1p.f32 x) 1)
(*.f32 1 (log1p.f32 x))
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (log1p.f32 x))))
(.f32 (pow.f32 (log1p.f32 x) 1/6) (.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))
(*.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)))
(.f32 (pow.f32 (log1p.f32 x) 1/4) (.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (log1p.f32 x))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (log1p.f32 x) 1/4)) (pow.f32 (log1p.f32 x) 1/4))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)) (pow.f32 (log1p.f32 x) 1/4))
(*.f32 (pow.f32 1 1/3) (log1p.f32 x))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 x) 5/2) 1/3) (pow.f32 (log1p.f32 x) 1/6))
(.f32 (.f32 (sqrt.f32 (log1p.f32 x)) (cbrt.f32 (log1p.f32 x))) (pow.f32 (log1p.f32 x) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (log1p.f32 x) 1/6)) (pow.f32 (log1p.f32 x) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (log1p.f32 x) 1) 3) 1) (+.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) (+.f32 1 (+.f32 (log1p.f32 x) 1))))
(/.f32 (-.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) 1) (+.f32 (+.f32 (log1p.f32 x) 1) 1))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (pow.f32 (log1p.f32 x) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(pow.f32 (E.f32) (log.f32 (log1p.f32 x)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log.f32 (log1p.f32 x))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 x)))) (sqrt.f32 (log.f32 (log1p.f32 x))))
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(fabs.f32 (log1p.f32 x))
(log.f32 (+.f32 x 1))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 x))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 x))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 x))) 2))

Outputs
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(log.f32 (+.f32 1 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(+.f32 (+.f32 (log1p.f32 x) 1) -1)
(log1p.f32 x)
(+.f32 0 (log1p.f32 x))
(log1p.f32 x)
(+.f32 (log.f32 (hypot.f32 1 (sqrt.f32 x))) (log.f32 (hypot.f32 1 (sqrt.f32 x))))
(*.f32 2 (log.f32 (hypot.f32 1 (sqrt.f32 x))))
(*.f32 (log.f32 (hypot.f32 1 (sqrt.f32 x))) 2)
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 x 1) 2))) (log.f32 (cbrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (+.f32 1 x) 2))) (log.f32 (cbrt.f32 (+.f32 1 x))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (fma.f32 x x x)))
(-.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x))
(-.f32 (+.f32 (log1p.f32 x) 1) 1)
(log1p.f32 x)
(*.f32 (log1p.f32 x) 1)
(log1p.f32 x)
(*.f32 1 (log1p.f32 x))
(log1p.f32 x)
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(log1p.f32 x)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(log1p.f32 x)
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(log1p.f32 x)
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (log1p.f32 x))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log1p.f32 x)))
(.f32 (cbrt.f32 (log1p.f32 x)) (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 5))
(.f32 (pow.f32 (log1p.f32 x) 1/6) (.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))
(log1p.f32 x)
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))
(log1p.f32 x)
(*.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)))
(log1p.f32 x)
(.f32 (pow.f32 (log1p.f32 x) 1/4) (.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (log1p.f32 x))))
(log1p.f32 x)
(.f32 (.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (log1p.f32 x) 1/4)) (pow.f32 (log1p.f32 x) 1/4))
(log1p.f32 x)
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 8)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 5/2))
(*.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (pow.f32 (log1p.f32 x) 1/6) 3))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)) (pow.f32 (log1p.f32 x) 1/4))
(log1p.f32 x)
(*.f32 (pow.f32 1 1/3) (log1p.f32 x))
(log1p.f32 x)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 8)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 x) 5/2) 1/3) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 x)) (cbrt.f32 (log1p.f32 x))) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 5/2))
(*.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (pow.f32 (log1p.f32 x) 1/6) 3))
(.f32 (.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2))
(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log1p.f32 x)))
(.f32 (cbrt.f32 (log1p.f32 x)) (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 5))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(log1p.f32 x)
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (log1p.f32 x) 1/6)) (pow.f32 (log1p.f32 x) 1/6))
(log1p.f32 x)
(/.f32 (-.f32 (pow.f32 (+.f32 (log1p.f32 x) 1) 3) 1) (+.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) (+.f32 1 (+.f32 (log1p.f32 x) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 x)) 3) -1) (fma.f32 (+.f32 1 (log1p.f32 x)) (+.f32 1 (log1p.f32 x)) (+.f32 (log1p.f32 x) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log1p.f32 x)) 3)) (fma.f32 (+.f32 1 (log1p.f32 x)) (+.f32 1 (log1p.f32 x)) (+.f32 (log1p.f32 x) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log1p.f32 x)) 3)) (+.f32 1 (*.f32 (+.f32 1 (log1p.f32 x)) (+.f32 (log1p.f32 x) 2))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log1p.f32 x)) 3)) (fma.f32 (+.f32 1 (log1p.f32 x)) (+.f32 (log1p.f32 x) 2) 1))
(/.f32 (-.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) 1) (+.f32 (+.f32 (log1p.f32 x) 1) 1))
(log1p.f32 x)
(pow.f32 (log1p.f32 x) 1)
(log1p.f32 x)
(pow.f32 (pow.f32 (log1p.f32 x) 2) 1/2)
(log1p.f32 x)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(log1p.f32 x)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(log1p.f32 x)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(log1p.f32 x)
(pow.f32 (E.f32) (log.f32 (log1p.f32 x)))
(log1p.f32 x)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log.f32 (log1p.f32 x))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 x)))) (sqrt.f32 (log.f32 (log1p.f32 x))))
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(log1p.f32 x)
(fabs.f32 (log1p.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 x 1))
(log1p.f32 x)
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(log1p.f32 x)
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(log1p.f32 x)
(exp.f32 (log.f32 (log1p.f32 x)))
(log1p.f32 x)
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 x))) 1/3))
(log1p.f32 x)
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 x))) 3))
(log1p.f32 x)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 x))) 2))
(log1p.f32 x)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f32 x)
0.0ms	x	@	-inf	(log1p.f32 x)
0.0ms	x	@	inf	(log1p.f32 x)

rewrite69.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

383×	`expm1-udef_binary32`
383×	`log1p-udef_binary32`
255×	`associate-r_binary32`
250×	`pow1_binary32`
241×	`add-sqr-sqrt_binary32`

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.f32 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log1p.f32 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x 1))) (log.f32 (sqrt.f32 (+.f32 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (-.f32 (*.f32 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log1p.f32 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 x x))) (log.f32 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 x) 1/6) (*.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 x) 1/4) (*.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (log1p.f32 x) 1/4)) (pow.f32 (log1p.f32 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)) (pow.f32 (log1p.f32 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 x) 5/2) 1/3) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 x)) (cbrt.f32 (log1p.f32 x))) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (log1p.f32 x) 1/6)) (pow.f32 (log1p.f32 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (log1p.f32 x) 1) 3) 1) (+.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) (+.f32 1 (+.f32 (log1p.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) 1) (+.f32 (+.f32 (log1p.f32 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 x)))) (sqrt.f32 (log.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log.f32 (log1p.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (log1p.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 x))) 2))))))

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-def_binary32`
315×	`times-frac_binary32`
299×	`fma-neg_binary32`
255×	`log-prod_binary32`
239×	`unswap-sqr_binary32`

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
(+.f32 (*.f32 -1/2 (pow.f32 x 2)) x)
(+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (.f32 1/3 (pow.f32 x 3)) x))
(+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (.f32 1/3 (pow.f32 x 3)) (+.f32 (*.f32 -1/4 (pow.f32 x 4)) x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x)) (.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 1 x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 1 x))) (.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (+.f32 (log1p.f32 x) 1) -1)
(+.f32 0 (log1p.f32 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x 1))) (log.f32 (sqrt.f32 (+.f32 x 1))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (+.f32 (log1p.f32 x) 1) 1)
(-.f32 (log.f32 (-.f32 1 (*.f32 x x))) (log.f32 (-.f32 1 x)))
(*.f32 (log1p.f32 x) 1)
(*.f32 1 (log1p.f32 x))
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))
(.f32 (pow.f32 (log1p.f32 x) 1/6) (.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (log1p.f32 x))))
(*.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)))
(.f32 (pow.f32 (log1p.f32 x) 1/4) (.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (log1p.f32 x))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (log1p.f32 x) 1/4)) (pow.f32 (log1p.f32 x) 1/4))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)) (pow.f32 (log1p.f32 x) 1/4))
(*.f32 (pow.f32 1 1/3) (log1p.f32 x))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 x) 5/2) 1/3) (pow.f32 (log1p.f32 x) 1/6))
(.f32 (.f32 (sqrt.f32 (log1p.f32 x)) (cbrt.f32 (log1p.f32 x))) (pow.f32 (log1p.f32 x) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (log1p.f32 x) 1/6)) (pow.f32 (log1p.f32 x) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (log1p.f32 x) 1) 3) 1) (+.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) (+.f32 1 (+.f32 (log1p.f32 x) 1))))
(/.f32 (-.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) 1) (+.f32 (+.f32 (log1p.f32 x) 1) 1))
(pow.f32 (log1p.f32 x) 1)
(pow.f32 (pow.f32 (log1p.f32 x) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(pow.f32 (E.f32) (log.f32 (log1p.f32 x)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 x)))) (sqrt.f32 (log.f32 (log1p.f32 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log.f32 (log1p.f32 x))))
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(fabs.f32 (log1p.f32 x))
(log.f32 (+.f32 x 1))
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(exp.f32 (log.f32 (log1p.f32 x)))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 x))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 x))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 x))) 2))

Outputs
x
(+.f32 (*.f32 -1/2 (pow.f32 x 2)) x)
(fma.f32 -1/2 (*.f32 x x) x)
(fma.f32 x (*.f32 x -1/2) x)
(+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (.f32 1/3 (pow.f32 x 3)) x))
(fma.f32 -1/2 (*.f32 x x) (fma.f32 1/3 (pow.f32 x 3) x))
(fma.f32 x (*.f32 x -1/2) (fma.f32 1/3 (pow.f32 x 3) x))
(+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (.f32 1/3 (pow.f32 x 3)) (+.f32 (*.f32 -1/4 (pow.f32 x 4)) x)))
(fma.f32 -1/2 (*.f32 x x) (fma.f32 1/3 (pow.f32 x 3) (fma.f32 -1/4 (pow.f32 x 4) x)))
(fma.f32 x (*.f32 x -1/2) (fma.f32 1/3 (pow.f32 x 3) (fma.f32 -1/4 (pow.f32 x 4) x)))
(fma.f32 1/3 (pow.f32 x 3) (fma.f32 x (*.f32 x -1/2) (fma.f32 -1/4 (pow.f32 x 4) x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x))
(fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x))
(+.f32 (/.f32 1 x) (log.f32 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (/.f32 1 x)) (.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x)) (/.f32 1/2 (*.f32 x x)))
(-.f32 (+.f32 (/.f32 1 x) (log.f32 x)) (/.f32 (/.f32 1/2 x) x))
(+.f32 (log.f32 x) (+.f32 (/.f32 1 x) (/.f32 (/.f32 -1/2 x) x)))
(+.f32 (/.f32 1 x) (+.f32 (log.f32 x) (/.f32 (/.f32 -1/2 x) x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (/.f32 1 x) (/.f32 1/3 (pow.f32 x 3)))) (/.f32 1/2 (*.f32 x x)))
(+.f32 (log.f32 x) (-.f32 (+.f32 (/.f32 1 x) (/.f32 1/3 (pow.f32 x 3))) (/.f32 (/.f32 1/2 x) x)))
(+.f32 (/.f32 1 x) (+.f32 (/.f32 1/3 (pow.f32 x 3)) (+.f32 (log.f32 x) (/.f32 (/.f32 -1/2 x) x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 1 x)))
(fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x))
(+.f32 (/.f32 1 x) (log.f32 x))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (/.f32 1 x))) (.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 1 x)) (/.f32 1/2 (*.f32 x x)))
(-.f32 (+.f32 (/.f32 1 x) (log.f32 x)) (/.f32 (/.f32 1/2 x) x))
(+.f32 (log.f32 x) (+.f32 (/.f32 1 x) (/.f32 (/.f32 -1/2 x) x)))
(+.f32 (/.f32 1 x) (+.f32 (log.f32 x) (/.f32 (/.f32 -1/2 x) x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (/.f32 1 x) (/.f32 1/3 (pow.f32 x 3)))) (/.f32 1/2 (*.f32 x x)))
(+.f32 (log.f32 x) (-.f32 (+.f32 (/.f32 1 x) (/.f32 1/3 (pow.f32 x 3))) (/.f32 (/.f32 1/2 x) x)))
(+.f32 (/.f32 1 x) (+.f32 (/.f32 1/3 (pow.f32 x 3)) (+.f32 (log.f32 x) (/.f32 (/.f32 -1/2 x) x))))
(+.f32 (+.f32 (log1p.f32 x) 1) -1)
(log1p.f32 x)
(+.f32 0 (log1p.f32 x))
(log1p.f32 x)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (log.f32 (cbrt.f32 (+.f32 x 1))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x 1))) (log.f32 (sqrt.f32 (+.f32 x 1))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x 1))))
(*.f32 2 (log.f32 (hypot.f32 1 (sqrt.f32 x))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (*.f32 x (+.f32 x -1))))
(-.f32 (log1p.f32 (pow.f32 x 3)) (log1p.f32 (*.f32 x (+.f32 -1 x))))
(-.f32 (+.f32 (log1p.f32 x) 1) 1)
(log1p.f32 x)
(-.f32 (log.f32 (-.f32 1 (*.f32 x x))) (log.f32 (-.f32 1 x)))
(-.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (neg.f32 x)))
(*.f32 (log1p.f32 x) 1)
(log1p.f32 x)
(*.f32 1 (log1p.f32 x))
(log1p.f32 x)
(*.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2))
(log1p.f32 x)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (cbrt.f32 (log1p.f32 x)))
(log1p.f32 x)
(*.f32 (sqrt.f32 (log1p.f32 x)) (sqrt.f32 (log1p.f32 x)))
(log1p.f32 x)
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))
(log1p.f32 x)
(.f32 (pow.f32 (log1p.f32 x) 1/6) (.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 2)))
(log1p.f32 x)
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (log1p.f32 x))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)))
(.f32 (cbrt.f32 (log1p.f32 x)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 5))
(*.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)))
(log1p.f32 x)
(.f32 (pow.f32 (log1p.f32 x) 1/4) (.f32 (pow.f32 (log1p.f32 x) 1/4) (sqrt.f32 (log1p.f32 x))))
(log1p.f32 x)
(.f32 (.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (log1p.f32 x) 1/4)) (pow.f32 (log1p.f32 x) 1/4))
(log1p.f32 x)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 8)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 5/2))
(*.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (pow.f32 (log1p.f32 x) 1/6) 3))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 x) 3/2)) (pow.f32 (log1p.f32 x) 1/4))
(log1p.f32 x)
(*.f32 (pow.f32 1 1/3) (log1p.f32 x))
(log1p.f32 x)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 8)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 x) 5/2) 1/3) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (cbrt.f32 (pow.f32 (log1p.f32 x) 5/2)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 x)) (cbrt.f32 (log1p.f32 x))) (pow.f32 (log1p.f32 x) 1/6))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 5)))
(*.f32 (pow.f32 (log1p.f32 x) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 x)) 5/2))
(*.f32 (sqrt.f32 (log1p.f32 x)) (pow.f32 (pow.f32 (log1p.f32 x) 1/6) 3))
(.f32 (.f32 (cbrt.f32 (log1p.f32 x)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (.f32 (cbrt.f32 (log1p.f32 x)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)))
(.f32 (cbrt.f32 (log1p.f32 x)) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 5))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 x))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 x))))
(log1p.f32 x)
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 x)) 2) (pow.f32 (log1p.f32 x) 1/6)) (pow.f32 (log1p.f32 x) 1/6))
(log1p.f32 x)
(/.f32 (-.f32 (pow.f32 (+.f32 (log1p.f32 x) 1) 3) 1) (+.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) (+.f32 1 (+.f32 (log1p.f32 x) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 x)) 3) -1) (fma.f32 (+.f32 1 (log1p.f32 x)) (+.f32 1 (log1p.f32 x)) (+.f32 (log1p.f32 x) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log1p.f32 x)) 3)) (fma.f32 (+.f32 1 (log1p.f32 x)) (+.f32 1 (log1p.f32 x)) (+.f32 2 (log1p.f32 x))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log1p.f32 x)) 3)) (+.f32 1 (*.f32 (+.f32 1 (log1p.f32 x)) (+.f32 2 (log1p.f32 x)))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log1p.f32 x)) 3)) (fma.f32 (+.f32 1 (log1p.f32 x)) (+.f32 2 (log1p.f32 x)) 1))
(/.f32 (-.f32 (*.f32 (+.f32 (log1p.f32 x) 1) (+.f32 (log1p.f32 x) 1)) 1) (+.f32 (+.f32 (log1p.f32 x) 1) 1))
(log1p.f32 x)
(pow.f32 (log1p.f32 x) 1)
(log1p.f32 x)
(pow.f32 (pow.f32 (log1p.f32 x) 2) 1/2)
(log1p.f32 x)
(pow.f32 (pow.f32 (log1p.f32 x) 3) 1/3)
(log1p.f32 x)
(pow.f32 (cbrt.f32 (log1p.f32 x)) 3)
(log1p.f32 x)
(pow.f32 (sqrt.f32 (log1p.f32 x)) 2)
(log1p.f32 x)
(pow.f32 (E.f32) (log.f32 (log1p.f32 x)))
(log1p.f32 x)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 x)))) (sqrt.f32 (log.f32 (log1p.f32 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 x))) 2)) (cbrt.f32 (log.f32 (log1p.f32 x))))
(sqrt.f32 (pow.f32 (log1p.f32 x) 2))
(log1p.f32 x)
(fabs.f32 (log1p.f32 x))
(log1p.f32 x)
(log.f32 (+.f32 x 1))
(log1p.f32 x)
(cbrt.f32 (pow.f32 (log1p.f32 x) 3))
(log1p.f32 x)
(expm1.f32 (log1p.f32 (log1p.f32 x)))
(log1p.f32 x)
(exp.f32 (log.f32 (log1p.f32 x)))
(log1p.f32 x)
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 x))) 1/3))
(log1p.f32 x)
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 x))) 3))
(log1p.f32 x)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 x))) 2))
(log1p.f32 x)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 x)
✓	0.0b	(+.f32 1 (log.f32 x))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series44.0ms (0.7%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(+.f32 1 (log.f32 x))
10.0ms	x	@	-inf	(+.f32 1 (log.f32 x))
6.0ms	x	@	inf	(+.f32 1 (log.f32 x))
0.0ms	x	@	0	(log.f32 x)
0.0ms	x	@	-inf	(log.f32 x)

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`pow1_binary32`
464×	`add-sqr-sqrt_binary32`
456×	`*-un-lft-identity_binary32`
443×	`add-log-exp_binary32`
443×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	99	9
2	1208	9

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(+.f32 1 (log.f32 x))
(log.f32 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 1 (log.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (log.f32 x))) (/.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 1 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 2) (cbrt.f32 (+.f32 1 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 1 (log.f32 x))) (sqrt.f32 (+.f32 1 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (/.f32 1 (-.f32 1 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1))) (+.f32 1 (pow.f32 (log.f32 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 (log.f32 x)) (-.f32 1 (pow.f32 (log.f32 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 (log.f32 x) 2))) (neg.f32 (-.f32 1 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 x) 2) 1) (-.f32 (log.f32 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 1 (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 1 (log.f32 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 1 (log.f32 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 1 (log.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 x (E.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 1 (log.f32 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 1 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (*.f32 x (E.f32)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 x) 2)) (log.f32 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 x)))))))

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-neg_binary32`
636×	`div-sub_binary32`
499×	`fma-def_binary32`
344×	`times-frac_binary32`
284×	`unswap-sqr_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	737
1	236	537
2	889	537
3	5632	537

Stop Event

1×	node limit

Counts

64 → 71

Calls

Call 1

Inputs
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(-.f32 (+.f32 1 (+.f32 1 (log.f32 x))) 1)
(-.f32 (/.f32 1 (-.f32 1 (log.f32 x))) (/.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))
(*.f32 1 (+.f32 1 (log.f32 x)))
(*.f32 (+.f32 1 (log.f32 x)) 1)
(*.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 2) (cbrt.f32 (+.f32 1 (log.f32 x))))
(*.f32 (sqrt.f32 (+.f32 1 (log.f32 x))) (sqrt.f32 (+.f32 1 (log.f32 x))))
(.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 1 (.f32 (log.f32 x) (-.f32 (log.f32 x) 1)))))
(*.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (/.f32 1 (-.f32 1 (log.f32 x))))
(/.f32 1 (/.f32 (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1))) (+.f32 1 (pow.f32 (log.f32 x) 3))))
(/.f32 1 (/.f32 (-.f32 1 (log.f32 x)) (-.f32 1 (pow.f32 (log.f32 x) 2))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1)))))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (log.f32 x) 2))) (neg.f32 (-.f32 1 (log.f32 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) 1) (-.f32 (log.f32 x) 1))
(pow.f32 (+.f32 1 (log.f32 x)) 1)
(pow.f32 (pow.f32 (+.f32 1 (log.f32 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 1 (log.f32 x))) 2)
(sqrt.f32 (pow.f32 (+.f32 1 (log.f32 x)) 2))
(log.f32 (*.f32 x (E.f32)))
(cbrt.f32 (pow.f32 (+.f32 1 (log.f32 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 1 (log.f32 x))))
(log1p.f32 (-.f32 (*.f32 x (E.f32)) 1))
(exp.f32 (log1p.f32 (log.f32 x)))
(fma.f32 1 (log.f32 x) 1)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) 1)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) 1)
(+.f32 0 (log.f32 x))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 x) 2)) (log.f32 (cbrt.f32 x)))
(-.f32 (+.f32 1 (log.f32 x)) 1)
(*.f32 1 (log.f32 x))
(*.f32 (log.f32 x) 1)
(*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)))
(*.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)))
(pow.f32 (log.f32 x) 1)
(pow.f32 (cbrt.f32 (log.f32 x)) 3)
(pow.f32 (sqrt.f32 (log.f32 x)) 2)
(pow.f32 (pow.f32 (log.f32 x) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 x) 2))
(cbrt.f32 (pow.f32 (log.f32 x) 3))
(expm1.f32 (log1p.f32 (log.f32 x)))
(log1p.f32 (-.f32 x 1))
(exp.f32 (log.f32 (log.f32 x)))

Outputs
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(+.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(+.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(+.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(+.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))
(+.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1)))
(+.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))
(-.f32 (+.f32 1 (+.f32 1 (log.f32 x))) 1)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(-.f32 (/.f32 1 (-.f32 1 (log.f32 x))) (/.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 x) 2)) (+.f32 -1 (log.f32 x)))
(*.f32 1 (+.f32 1 (log.f32 x)))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(*.f32 (+.f32 1 (log.f32 x)) 1)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(*.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 2))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 2) (cbrt.f32 (+.f32 1 (log.f32 x))))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(*.f32 (sqrt.f32 (+.f32 1 (log.f32 x))) (sqrt.f32 (+.f32 1 (log.f32 x))))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 1 (.f32 (log.f32 x) (-.f32 (log.f32 x) 1)))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) 1) (+.f32 1 (.f32 (log.f32 x) (+.f32 (log.f32 x) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (+.f32 -1 (log.f32 x)) 1))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 1 (log.f32 x)) -1))
(*.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (/.f32 1 (-.f32 1 (log.f32 x))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 x) 2)) (+.f32 -1 (log.f32 x)))
(/.f32 1 (/.f32 (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1))) (+.f32 1 (pow.f32 (log.f32 x) 3))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) 1) (+.f32 1 (.f32 (log.f32 x) (+.f32 (log.f32 x) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (+.f32 -1 (log.f32 x)) 1))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 1 (log.f32 x)) -1))
(/.f32 1 (/.f32 (-.f32 1 (log.f32 x)) (-.f32 1 (pow.f32 (log.f32 x) 2))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 x) 2)) (+.f32 -1 (log.f32 x)))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) 1) (+.f32 1 (.f32 (log.f32 x) (+.f32 (log.f32 x) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (+.f32 -1 (log.f32 x)) 1))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 1 (log.f32 x)) -1))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 1 (log.f32 x))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) 1) (+.f32 1 (.f32 (log.f32 x) (+.f32 (log.f32 x) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (+.f32 -1 (log.f32 x)) 1))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 1 (log.f32 x)) -1))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 x) 2)) (+.f32 -1 (log.f32 x)))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 1 (*.f32 (log.f32 x) (-.f32 (log.f32 x) 1)))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) 1) (+.f32 1 (.f32 (log.f32 x) (+.f32 (log.f32 x) -1))))
(/.f32 (+.f32 1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (+.f32 -1 (log.f32 x)) 1))
(/.f32 (-.f32 -1 (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 1 (log.f32 x)) -1))
(/.f32 (neg.f32 (-.f32 1 (pow.f32 (log.f32 x) 2))) (neg.f32 (-.f32 1 (log.f32 x))))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 x) 2)) (+.f32 -1 (log.f32 x)))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) 1) (-.f32 (log.f32 x) 1))
(/.f32 (-.f32 1 (pow.f32 (log.f32 x) 2)) (-.f32 1 (log.f32 x)))
(/.f32 (+.f32 -1 (pow.f32 (log.f32 x) 2)) (+.f32 -1 (log.f32 x)))
(pow.f32 (+.f32 1 (log.f32 x)) 1)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(pow.f32 (pow.f32 (+.f32 1 (log.f32 x)) 3) 1/3)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(pow.f32 (cbrt.f32 (+.f32 1 (log.f32 x))) 3)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(pow.f32 (sqrt.f32 (+.f32 1 (log.f32 x))) 2)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(sqrt.f32 (pow.f32 (+.f32 1 (log.f32 x)) 2))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(log.f32 (*.f32 x (E.f32)))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(cbrt.f32 (pow.f32 (+.f32 1 (log.f32 x)) 3))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(expm1.f32 (log1p.f32 (+.f32 1 (log.f32 x))))
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(log1p.f32 (-.f32 (*.f32 x (E.f32)) 1))
(log1p.f32 (fma.f32 x (E.f32) -1))
(exp.f32 (log1p.f32 (log.f32 x)))
(fma.f32 1 (log.f32 x) 1)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) 1)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) 1)
(+.f32 1 (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 1 (log.f32 x))
(+.f32 0 (log.f32 x))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 x)))
(*.f32 2 (log.f32 (sqrt.f32 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 x) 2)) (log.f32 (cbrt.f32 x)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 x))) (log.f32 (cbrt.f32 x)))
(*.f32 3 (log.f32 (cbrt.f32 x)))
(-.f32 (+.f32 1 (log.f32 x)) 1)
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(*.f32 1 (log.f32 x))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(*.f32 (log.f32 x) 1)
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(*.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(*.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(pow.f32 (log.f32 x) 1)
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(pow.f32 (cbrt.f32 (log.f32 x)) 3)
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(pow.f32 (sqrt.f32 (log.f32 x)) 2)
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(pow.f32 (pow.f32 (log.f32 x) 3) 1/3)
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(sqrt.f32 (pow.f32 (log.f32 x) 2))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(cbrt.f32 (pow.f32 (log.f32 x) 3))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(expm1.f32 (log1p.f32 (log.f32 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(log1p.f32 (-.f32 x 1))
(log1p.f32 (+.f32 x -1))
(log1p.f32 (+.f32 -1 x))
(exp.f32 (log.f32 (log.f32 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)

localize40.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 1 (-.f32 (hypot.f32 1 x) x))
✓	2.8b	(-.f32 (hypot.f32 1 x) x)
✓	12.4b	(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series66.0ms (1.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
62.0ms	x	@	-inf	(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
1.0ms	x	@	0	(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
1.0ms	x	@	inf	(log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
0.0ms	x	@	inf	(-.f32 (hypot.f32 1 x) x)
0.0ms	x	@	-inf	(-.f32 (hypot.f32 1 x) x)

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary32`
707×	`add-log-exp_binary32`
707×	`log1p-expm1-u_binary32`
707×	`expm1-log1p-u_binary32`
692×	`add-exp-log_binary32`

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.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (hypot.f32 1 x) x)
(/.f32 1 (-.f32 (hypot.f32 1 x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 0 (+.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (*.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (hypot.f32 1 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (hypot.f32 1 x) (*.f32 (neg.f32 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (hypot.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (sqrt.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x)) (/.f32 1 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)) (-.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))) (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 x (hypot.f32 1 x)) (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (hypot.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x)) (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x))) (neg.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 (neg.f32 x) 3)) (+.f32 (+.f32 1 (*.f32 x x)) (-.f32 (*.f32 (neg.f32 x) (neg.f32 x)) (*.f32 (hypot.f32 1 x) (neg.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 (neg.f32 x) (neg.f32 x))) (-.f32 (hypot.f32 1 x) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (hypot.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) (neg.f32 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (neg.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) -1) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1) (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (+.f32 (+.f32 1 (*.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (+.f32 1 (*.f32 x x)) (*.f32 x x))) (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (hypot.f32 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))))))

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-/l*_binary32`
312×	`fma-neg_binary32`
271×	`distribute-rgt-in_binary32`
237×	`distribute-lft-in_binary32`
235×	`cancel-sign-sub-inv_binary32`

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
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
1
(+.f32 1 (*.f32 -1 x))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 x)))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1 x) (*.f32 -1/8 (pow.f32 x 4)))))
(/.f32 1/2 x)
(-.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/2 (/.f32 1 x))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/2 (/.f32 1 x))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 5/128 (/.f32 1 (pow.f32 x 7)))))
(*.f32 -2 x)
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 -2 x) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 -2 x) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/16 (/.f32 1 (pow.f32 x 5)))))
1
(+.f32 1 x)
(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) x))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) x)))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 2 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 2 x) (.f32 1/16 (/.f32 1 (pow.f32 x 5))))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(/.f32 -1/2 x)
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 5/128 (/.f32 1 (pow.f32 x 7)))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/2 (/.f32 1 x))))
(+.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(-.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(*.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(*.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(*.f32 -1 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(/.f32 (-.f32 0 (pow.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)) 3)) (+.f32 0 (+.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2) (*.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x))))))
(/.f32 (-.f32 0 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2)) (log.f32 (-.f32 (hypot.f32 1 x) x)))
(pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 1)
(pow.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3) 1/3)
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 3)
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(sqrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 2))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) 3))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(log1p.f32 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
(exp.f32 (log.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 (hypot.f32 1 x) (neg.f32 x))
(+.f32 (hypot.f32 1 x) (*.f32 (neg.f32 x) 1))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 x) 1 x))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(+.f32 (-.f32 (hypot.f32 1 x) x) (fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) x))
(+.f32 (neg.f32 x) (hypot.f32 1 x))
(*.f32 1 (-.f32 (hypot.f32 1 x) x))
(*.f32 (-.f32 (hypot.f32 1 x) x) 1)
(*.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (sqrt.f32 (-.f32 (hypot.f32 1 x) x)))
(.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (/.f32 1 (+.f32 (+.f32 1 (.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x))))))
(.f32 (-.f32 (+.f32 1 (.f32 x x)) (*.f32 x x)) (/.f32 1 (+.f32 x (hypot.f32 1 x))))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)) (-.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 x)))
(/.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(/.f32 1 (/.f32 (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x)))) (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (+.f32 x (hypot.f32 1 x)) (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x))))
(/.f32 (-.f32 (hypot.f32 1 x) x) 1)
(/.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(/.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))
(/.f32 (neg.f32 (-.f32 (hypot.f32 1 x) x)) -1)
(/.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3)) (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (+.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (neg.f32 (+.f32 (+.f32 1 (.f32 x x)) (.f32 x (+.f32 x (hypot.f32 1 x))))))
(/.f32 (neg.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x))) (neg.f32 (+.f32 x (hypot.f32 1 x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 (neg.f32 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 (neg.f32 x) (neg.f32 x)) (*.f32 (hypot.f32 1 x) (neg.f32 x)))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 (neg.f32 x) (neg.f32 x))) (-.f32 (hypot.f32 1 x) (neg.f32 x)))
(pow.f32 (-.f32 (hypot.f32 1 x) x) 1)
(pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3) 1/3)
(pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 3)
(pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) 2)
(sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 2))
(log.f32 (exp.f32 (-.f32 (hypot.f32 1 x) x)))
(cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) 3))
(expm1.f32 (log1p.f32 (-.f32 (hypot.f32 1 x) x)))
(log1p.f32 (expm1.f32 (-.f32 (hypot.f32 1 x) x)))
(exp.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(fma.f32 1 (hypot.f32 1 x) (neg.f32 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) (neg.f32 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) (neg.f32 x))
(+.f32 1 (-.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1))
(-.f32 (+.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) 1)
(*.f32 1 (/.f32 1 (-.f32 (hypot.f32 1 x) x)))
(*.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2)) (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2))
(*.f32 -1 (/.f32 1 (neg.f32 (-.f32 (hypot.f32 1 x) x))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) 2) -1) (pow.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1) (pow.f32 (sqrt.f32 (-.f32 (hypot.f32 1 x) x)) -1))
(.f32 (/.f32 1 (-.f32 (pow.f32 (hypot.f32 1 x) 3) (pow.f32 x 3))) (+.f32 (+.f32 1 (.f32 x x)) (*.f32 x (+.f32 x (hypot.f32 1 x)))))
(.f32 (/.f32 1 (-.f32 (+.f32 1 (.f32 x x)) (*.f32 x x))) (+.f32 x (hypot.f32 1 x)))
(pow.f32 (-.f32 (hypot.f32 1 x) x) -1)
(pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 1)
(pow.f32 (E.f32) (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(pow.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3) 1/3)
(pow.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))) 3)
(pow.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 2)) (cbrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))))
(sqrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))
(log.f32 (exp.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(cbrt.f32 (pow.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) 3))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))))
(exp.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))

Outputs
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(fma.f32 -1/6 (pow.f32 x 3) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(fma.f32 -1/6 (pow.f32 x 3) (fma.f32 3/40 (pow.f32 x 5) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
(fma.f32 -1/6 (pow.f32 x 3) (fma.f32 3/40 (pow.f32 x 5) (fma.f32 -5/112 (pow.f32 x 7) x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 1/4 (*.f32 x x))))
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (log.f32 2) (log.f32 x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x)))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 x) (+.f32 (log.f32 2) (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 x) (+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (log.f32 2) (/.f32 -3/32 (pow.f32 x 4)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 x) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))) (-.f32 (log.f32 2) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 x) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))) (+.f32 (log.f32 2) (/.f32 -3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (log.f32 1/2) (/.f32 1/4 (*.f32 x x))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (/.f32 -1/4 (*.f32 x x))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 1/2))) (/.f32 1/4 (*.f32 x x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (log.f32 1/2) (/.f32 -1/4 (*.f32 x x)))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 1/2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (-.f32 (log.f32 1/2) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (log.f32 1/2) (+.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 -5/96 (pow.f32 x 6))))))
1
(+.f32 1 (*.f32 -1 x))
(+.f32 1 (neg.f32 x))
(-.f32 1 x)
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1 x)))
(+.f32 1 (fma.f32 1/2 (*.f32 x x) (neg.f32 x)))
(+.f32 1 (-.f32 (.f32 (.f32 x x) 1/2) x))
(+.f32 (.f32 x (.f32 x 1/2)) (-.f32 1 x))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1 x) (*.f32 -1/8 (pow.f32 x 4)))))
(+.f32 1 (fma.f32 1/2 (.f32 x x) (fma.f32 -1 x (.f32 (pow.f32 x 4) -1/8))))
(+.f32 1 (fma.f32 (.f32 x x) 1/2 (-.f32 (.f32 (pow.f32 x 4) -1/8) x)))
(+.f32 1 (-.f32 (fma.f32 (.f32 x x) 1/2 (.f32 (pow.f32 x 4) -1/8)) x))
(/.f32 1/2 x)
(-.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))
(+.f32 (/.f32 1/2 x) (/.f32 -1/8 (pow.f32 x 3)))
(-.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/2 (/.f32 1 x))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (/.f32 1/16 (pow.f32 x 5)) (-.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (/.f32 -1/8 (pow.f32 x 3))))
(+.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/16 (pow.f32 x 5)) (/.f32 1/8 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/2 (/.f32 1 x))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 5/128 (/.f32 1 (pow.f32 x 7)))))
(+.f32 (/.f32 1/16 (pow.f32 x 5)) (-.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 5/128 (pow.f32 x 7)))))
(+.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 5/128 (pow.f32 x 7)))))
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 -1/8 (pow.f32 x 3)) (/.f32 -5/128 (pow.f32 x 7)))))
(*.f32 -2 x)
(*.f32 x -2)
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 x -2) (/.f32 1/2 x))
(fma.f32 x -2 (/.f32 -1/2 x))
(-.f32 (+.f32 (.f32 -2 x) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (fma.f32 -2 x (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/2 x))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (fma.f32 x -2 (/.f32 -1/2 x)))
(-.f32 (+.f32 (.f32 -2 x) (.f32 1/8 (/.f32 1 (pow.f32 x 3)))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/16 (/.f32 1 (pow.f32 x 5)))))
(-.f32 (fma.f32 -2 x (/.f32 1/8 (pow.f32 x 3))) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 (fma.f32 x -2 (/.f32 1/8 (pow.f32 x 3))) (-.f32 (/.f32 -1/2 x) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (fma.f32 x -2 (+.f32 (/.f32 -1/2 x) (/.f32 -1/16 (pow.f32 x 5)))))
1
(+.f32 1 x)
(+.f32 x 1)
(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) x))
(+.f32 1 (fma.f32 1/2 (*.f32 x x) x))
(+.f32 1 (fma.f32 (*.f32 x x) 1/2 x))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) x)))
(+.f32 1 (fma.f32 1/2 (*.f32 x x) (fma.f32 -1/8 (pow.f32 x 4) x)))
(+.f32 1 (fma.f32 (*.f32 x x) 1/2 (fma.f32 (pow.f32 x 4) -1/8 x)))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 2 x (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 2 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (fma.f32 2 x (/.f32 1/2 x)) (/.f32 1/8 (pow.f32 x 3)))
(-.f32 (fma.f32 x 2 (/.f32 1/2 x)) (/.f32 1/8 (pow.f32 x 3)))
(+.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 -1/8 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 2 x) (.f32 1/16 (/.f32 1 (pow.f32 x 5))))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (/.f32 1/2 x) (-.f32 (fma.f32 2 x (/.f32 1/16 (pow.f32 x 5))) (/.f32 1/8 (pow.f32 x 3))))
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (fma.f32 x 2 (/.f32 -1/8 (pow.f32 x 3)))))
(+.f32 (fma.f32 x 2 (/.f32 1/2 x)) (-.f32 (/.f32 1/16 (pow.f32 x 5)) (/.f32 1/8 (pow.f32 x 3))))
(/.f32 -1/2 x)
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(-.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/2 x))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 -1/2 x))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 (-.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))) (/.f32 -1/2 x))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 -1/2 x) (/.f32 -1/16 (pow.f32 x 5))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 5/128 (/.f32 1 (pow.f32 x 7)))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/2 (/.f32 1 x))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 5/128 (pow.f32 x 7)) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5)))))
(-.f32 (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 5/128 (pow.f32 x 7))) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 5/128 (pow.f32 x 7)) (+.f32 (/.f32 -1/2 x) (/.f32 -1/16 (pow.f32 x 5)))))
(+.f32 0 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)) (log.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -1/2)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (/.f32 1 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x))))
(-.f32 0 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))
(-.f32 (+.f32 1 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x)))) 1)
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(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 -1 (-.f32 x (hypot.f32 1 x))) 0)
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))
(exp.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))))
(+.f32 1 (+.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x)) -1))
(+.f32 (/.f32 -1 (-.f32 x (hypot.f32 1 x))) 0)
(/.f32 -1 (-.f32 x (hypot.f32 1 x)))

localize53.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
✓	1.3b	(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
✓	3.8b	(+.f32 x (hypot.f32 1 x))
✓	12.5b	(log.f32 (+.f32 x (hypot.f32 1 x)))

Compiler

Compiled 42 to 29 computations (31% saved)

series13.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(log.f32 (+.f32 x (hypot.f32 1 x)))
2.0ms	x	@	inf	(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
2.0ms	x	@	-inf	(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
0.0ms	x	@	0	(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
0.0ms	x	@	0	(log.f32 (+.f32 x (hypot.f32 1 x)))

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`pow1_binary32`
637×	`add-log-exp_binary32`
637×	`log1p-expm1-u_binary32`
637×	`expm1-log1p-u_binary32`
623×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	145	36
2	1745	36

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

Inputs
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 x (hypot.f32 1 x))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

657×	`unswap-sqr_binary32`
413×	`associate-/r*_binary32`
328×	`distribute-rgt-in_binary32`
309×	`distribute-lft-in_binary32`
218×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	2856
1	850	2319
2	2683	2244

Stop Event

1×	node limit

Counts

150 → 190

Calls

Call 1

Inputs
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
1
(+.f32 1 x)
(+.f32 1 (+.f32 (*.f32 1/2 (pow.f32 x 2)) x))
(+.f32 1 (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) x)))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 2 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 2 x) (.f32 1/16 (/.f32 1 (pow.f32 x 5))))) (.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(/.f32 -1/2 x)
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 5/128 (/.f32 1 (pow.f32 x 7)))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 x 5))) (.f32 1/2 (/.f32 1 x))))
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(log.f32 x)
(+.f32 (*.f32 -1/6 (pow.f32 x 2)) (log.f32 x))
(+.f32 (.f32 -1/6 (pow.f32 x 2)) (+.f32 (.f32 11/180 (pow.f32 x 4)) (log.f32 x)))
(+.f32 (.f32 -1/6 (pow.f32 x 2)) (+.f32 (.f32 11/180 (pow.f32 x 4)) (+.f32 (*.f32 -191/5670 (pow.f32 x 6)) (log.f32 x))))
(log.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))
(+.f32 (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (log.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))
(+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (.f32 9/4 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (log.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))))
(+.f32 (.f32 -1/24 (/.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (.f32 9/4 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 4))) (+.f32 (.f32 1/4 (/.f32 1 (.f32 (pow.f32 x 2) (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))) (+.f32 (.f32 1/720 (/.f32 (+.f32 (.f32 135/8 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 2))) (+.f32 (.f32 75/2 (/.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))) (.f32 15/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) 3))))) (pow.f32 x 6))) (log.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))
(log.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)))
(-.f32 (log.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) (.f32 1/24 (/.f32 (-.f32 (.f32 9/4 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)))) (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) 2)))) (pow.f32 x 4)))) (.f32 1/4 (/.f32 1 (*.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 1/720 (/.f32 (-.f32 (.f32 135/8 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) 2))) (+.f32 (.f32 15/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) 3))) (.f32 75/2 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)))))) (pow.f32 x 6))) (+.f32 (log.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) (.f32 1/24 (/.f32 (-.f32 (.f32 9/4 (/.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)))) (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) 2)))) (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (*.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (pow.f32 x 2)))))
(+.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (+.f32 x (hypot.f32 1 x))) 1)
(-.f32 (/.f32 (.f32 x x) (-.f32 x (hypot.f32 1 x))) (/.f32 (+.f32 1 (.f32 x x)) (-.f32 x (hypot.f32 1 x))))
(*.f32 1 (+.f32 x (hypot.f32 1 x)))
(*.f32 (+.f32 x (hypot.f32 1 x)) 1)
(*.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2) (cbrt.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) (sqrt.f32 (+.f32 x (hypot.f32 1 x))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (/.f32 1 (fma.f32 x x (.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(.f32 (-.f32 (.f32 x x) (+.f32 1 (*.f32 x x))) (/.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))) (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))))
(/.f32 1 (/.f32 (-.f32 x (hypot.f32 1 x)) (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3)) (+.f32 (+.f32 1 (.f32 x x)) (-.f32 (.f32 x x) (*.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x))) (-.f32 x (hypot.f32 1 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (neg.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (neg.f32 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (+.f32 1 (.f32 x x)) (.f32 x x)) (-.f32 (hypot.f32 1 x) x))
(pow.f32 (+.f32 x (hypot.f32 1 x)) 1)
(pow.f32 (E.f32) (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x))) 2)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 2))
(log.f32 (exp.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(fma.f32 1 x (hypot.f32 1 x))
(fma.f32 1 (hypot.f32 1 x) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (hypot.f32 1 x))
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (hypot.f32 1 x))
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) x)
(+.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(+.f32 0 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(-.f32 (+.f32 1 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(*.f32 1 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(pow.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(sqrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(cbrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log1p.f32 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(exp.f32 (log.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))

Outputs
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(fma.f32 -1/6 (pow.f32 x 3) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(fma.f32 -1/6 (pow.f32 x 3) (fma.f32 3/40 (pow.f32 x 5) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
(fma.f32 -1/6 (pow.f32 x 3) (fma.f32 3/40 (pow.f32 x 5) (fma.f32 -5/112 (pow.f32 x 7) x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x))))
(+.f32 (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x))) (log.f32 x))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 1/4 (*.f32 x x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x)))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x))) (-.f32 (log.f32 x) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (+.f32 (log.f32 2) (log.f32 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -3/32 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (+.f32 (log.f32 2) (log.f32 x)) (-.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))) (/.f32 3/32 (pow.f32 x 4))))
(+.f32 (+.f32 (log.f32 2) (log.f32 x)) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))) (/.f32 -3/32 (pow.f32 x 4))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (log.f32 1/2) (/.f32 1/4 (*.f32 x x))))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (/.f32 -1/4 (*.f32 x x))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 1/2)) (/.f32 1/4 (*.f32 x x))))
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1
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x
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(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (E.f32) (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(+.f32 1 (+.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) -1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 0 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (log.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)) (log.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(-.f32 (+.f32 1 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 1 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (sqrt.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(sqrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))

eval224.0ms (3.8%)

Compiler: Compiled 10599 to 7379 computations (30.4% saved)

prune126.0ms (2.1%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	631	8	639
Fresh	9	9	18
Picked	0	1	1
Done	3	2	5
Total	643	20	663

Error

0.0b

Counts

663 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	20.5b	(copysign.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) x)
	25.5b	(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))) x)
	22.3b	(copysign.f32 (-.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))) x)
	15.4b	(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
▶	23.9b	(copysign.f32 (+.f32 (log.f32 2) (log.f32 x)) x)
✓	27.4b	(copysign.f32 (+.f32 1 (log.f32 x)) x)
	19.1b	(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
✓	13.5b	(copysign.f32 (log1p.f32 x) x)
	23.1b	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
	24.4b	(copysign.f32 (log.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/16 (pow.f32 x 5)) (/.f32 1/8 (pow.f32 x 3)))))) x)
	23.2b	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
	23.2b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
	23.7b	(copysign.f32 (log.f32 (+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))) x)
	20.4b	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
▶	23.7b	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
	23.9b	(copysign.f32 (log.f32 (+.f32 x x)) x)
▶	27.7b	(copysign.f32 (log.f32 (neg.f32 x)) x)
▶	21.2b	(copysign.f32 (expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
✓	22.0b	(copysign.f32 (exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
▶	14.4b	(copysign.f32 x x)

Compiler

Compiled 417 to 298 computations (28.5% saved)

localize14.0ms (0.2%)

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

localize17.0ms (0.3%)

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

localize69.0ms (1.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 x (/.f32 1/2 x))
✓	0.0b	(+.f32 x (+.f32 x (/.f32 1/2 x)))
✓	0.1b	(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))

Compiler

Compiled 36 to 22 computations (38.9% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))
1.0ms	x	@	-inf	(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))
1.0ms	x	@	inf	(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))
0.0ms	x	@	0	(+.f32 x (+.f32 x (/.f32 1/2 x)))
0.0ms	x	@	inf	(+.f32 x (+.f32 x (/.f32 1/2 x)))

rewrite91.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`unpow-prod-down_binary32`
424×	`fma-def_binary32`
376×	`log-prod_binary32`
281×	`exp-prod_binary32`
265×	`pow-prod-down_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	166	29
2	2508	25

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

Inputs
(log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x))))
(+.f32 x (+.f32 x (/.f32 1/2 x)))
(+.f32 x (/.f32 1/2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (/.f32 1 (-.f32 x (+.f32 x (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (/.f32 1 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (-.f32 x (+.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (-.f32 (*.f32 x x) (*.f32 x (+.f32 x (/.f32 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (-.f32 x (+.f32 x (/.f32 1/2 x))) (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3)))) (log.f32 (neg.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2)))) (log.f32 (neg.f32 (-.f32 x (+.f32 x (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (*.f32 (pow.f32 x 3) 8) (*.f32 1/8 (pow.f32 x -3)))) (log.f32 (+.f32 (pow.f32 (+.f32 x x) 2) (fma.f32 1/4 (pow.f32 x -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (*.f32 x x))) (log.f32 (-.f32 (+.f32 x (/.f32 1/2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x x) 2) (*.f32 1/4 (pow.f32 x -2)))) (log.f32 (-.f32 (+.f32 x x) (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (*.f32 3 (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))))) 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egg-rr> (2) ((x fma.f32 1 (+.f32 x (/.f32 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x x) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2) (cbrt.f32 (+.f32 x (/.f32 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (+.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (+.f32 (cbrt.f32 x) (cbrt.f32 x)) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) (sqrt.f32 (+.f32 x (/.f32 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 (/.f32 1 (neg.f32 x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x x) 1 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 x) 1/2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 (*.f32 x x) (*.f32 1/4 (pow.f32 x -2))) (/.f32 1 (-.f32 x (/.f32 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (cbrt.f32 (+.f32 x x)) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 x x)) (sqrt.f32 (+.f32 x x)) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 2 x (/.f32 1/2 x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 x (/.f32 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (/.f32 1/2 x))) (/.f32 (*.f32 1/4 (pow.f32 x -2)) (-.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2) (cbrt.f32 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) (sqrt.f32 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (pow.f32 (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (*.f32 1/4 (pow.f32 x -2))) (/.f32 1 (-.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (*.f32 1/4 (pow.f32 x -2))) (pow.f32 (/.f32 1 (-.f32 x (/.f32 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (+.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 2) 3) (cbrt.f32 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 (+.f32 x (/.f32 1/2 x)) (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)) (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (/.f32 1/2 x)) (-.f32 (*.f32 x x) (*.f32 1/4 (pow.f32 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 1/4 (pow.f32 x -2) (-.f32 (*.f32 x x) (*.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (*.f32 1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))) (neg.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (*.f32 1/4 (pow.f32 x -2)))) (neg.f32 (-.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 1/4 (pow.f32 x -2)) (*.f32 x x)) (-.f32 (/.f32 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)) (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 x (/.f32 1/2 x)) (-.f32 (*.f32 x x) (*.f32 1/4 (pow.f32 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (exp.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 (/.f32 1/2 x)) (+.f32 1 (expm1.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (+.f32 1 (expm1.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 x (/.f32 1/2 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x 1 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/2 (/.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1/2 x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 (/.f32 1 (neg.f32 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 x) 1/2 x)))))

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

388×	`sqr-pow_binary32`
306×	`log-prod_binary32`
290×	`cancel-sign-sub-inv_binary32`
277×	`fma-neg_binary32`
187×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	4152
1	1338	3859
2	4013	3732

Stop Event

1×	node limit

Counts

258 → 331

Calls

Call 1

Inputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (.f32 -1 (log.f32 x))))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (log.f32 -2)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -2) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(/.f32 1/2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(/.f32 1/2 x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
x
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
x
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 0)
(+.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (/.f32 1 (-.f32 x (+.f32 x (/.f32 1/2 x))))))
(+.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (/.f32 1 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)))))
(+.f32 0 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))) 1)
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (-.f32 x (+.f32 x (/.f32 1/2 x)))))
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(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)) (+.f32 x x))
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) (sqrt.f32 (+.f32 x (/.f32 1/2 x))) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)) (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) (+.f32 x x))
(fma.f32 -1/2 (/.f32 1 (neg.f32 x)) (+.f32 x x))
(fma.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))) x)
(fma.f32 (+.f32 x x) 1 (/.f32 1/2 x))
(fma.f32 (/.f32 1 x) 1/2 (+.f32 x x))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (-.f32 x (/.f32 1/2 x))) x)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (cbrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (+.f32 x x)) (sqrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 2 x (/.f32 1/2 x))
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (/.f32 1/2 x)))) 1)
(-.f32 (/.f32 (.f32 x x) (-.f32 x (/.f32 1/2 x))) (/.f32 (.f32 1/4 (pow.f32 x -2)) (-.f32 x (/.f32 1/2 x))))
(*.f32 (+.f32 x (/.f32 1/2 x)) 1)
(*.f32 1 (+.f32 x (/.f32 1/2 x)))
(*.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2) (cbrt.f32 (+.f32 x (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) (sqrt.f32 (+.f32 x (/.f32 1/2 x))))
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))))
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (pow.f32 (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))) 1))
(.f32 (-.f32 (.f32 x x) (*.f32 1/4 (pow.f32 x -2))) (/.f32 1 (-.f32 x (/.f32 1/2 x))))
(.f32 (-.f32 (.f32 x x) (*.f32 1/4 (pow.f32 x -2))) (pow.f32 (/.f32 1 (-.f32 x (/.f32 1/2 x))) 1))
(*.f32 (pow.f32 1 1/3) (+.f32 x (/.f32 1/2 x)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 2) 3) (cbrt.f32 (+.f32 x (/.f32 1/2 x))))
(.f32 (pow.f32 (pow.f32 (.f32 (+.f32 x (/.f32 1/2 x)) (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x)))))
(/.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)) (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (-.f32 x (/.f32 1/2 x)) (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2)))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 1/4 (pow.f32 x -2) (-.f32 (.f32 x x) (.f32 x (/.f32 1/2 x)))))
(/.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (neg.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))) (neg.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2)))) (neg.f32 (-.f32 x (/.f32 1/2 x))))
(/.f32 (-.f32 (.f32 1/4 (pow.f32 x -2)) (.f32 x x)) (-.f32 (/.f32 1/2 x) x))
(pow.f32 (+.f32 x (/.f32 1/2 x)) 1)
(pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) 1/2)
(pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) 2)
(pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) 1/3)
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (/.f32 1/2 x))))
(pow.f32 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)) (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))) -1)
(pow.f32 (/.f32 (-.f32 x (/.f32 1/2 x)) (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2)))) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))
(log.f32 (exp.f32 (+.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (/.f32 1/2 x))))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (exp.f32 x)))
(log.f32 (*.f32 (exp.f32 (/.f32 1/2 x)) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (+.f32 1 (expm1.f32 x))))
(cbrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (+.f32 x (/.f32 1/2 x))))
(log1p.f32 (expm1.f32 (+.f32 x (/.f32 1/2 x))))
(exp.f32 (log.f32 (+.f32 x (/.f32 1/2 x))))
(exp.f32 (*.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x)))) 2))
(exp.f32 (.f32 (.f32 3 (log.f32 (+.f32 x (/.f32 1/2 x)))) 1/3))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 1) 1))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 3) 1/3))
(fma.f32 x 1 (/.f32 1/2 x))
(fma.f32 1/2 (/.f32 1 x) x)
(fma.f32 (/.f32 1/2 x) 1 x)
(fma.f32 1 x (/.f32 1/2 x))
(fma.f32 1 (/.f32 1/2 x) x)
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (/.f32 1/2 x))
(fma.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) x)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) x)
(fma.f32 -1/2 (/.f32 1 (neg.f32 x)) x)
(fma.f32 (/.f32 1 x) 1/2 x)

Outputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 1/2) (log.f32 x))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (.f32 -1 (log.f32 x))))
(fma.f32 4 (*.f32 x x) (+.f32 (log.f32 1/2) (neg.f32 (log.f32 x))))
(fma.f32 4 (*.f32 x x) (-.f32 (log.f32 1/2) (log.f32 x)))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x)))))
(fma.f32 4 (*.f32 x x) (+.f32 (log.f32 1/2) (fma.f32 -8 (pow.f32 x 4) (neg.f32 (log.f32 x)))))
(+.f32 (fma.f32 4 (.f32 x x) (-.f32 (log.f32 1/2) (log.f32 x))) (.f32 -8 (pow.f32 x 4)))
(+.f32 (.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/2) (+.f32 (.f32 -8 (pow.f32 x 4)) (+.f32 (.f32 64/3 (pow.f32 x 6)) (.f32 -1 (log.f32 x))))))
(fma.f32 4 (*.f32 x x) (+.f32 (log.f32 1/2) (fma.f32 -8 (pow.f32 x 4) (fma.f32 64/3 (pow.f32 x 6) (neg.f32 (log.f32 x))))))
(+.f32 (fma.f32 -8 (pow.f32 x 4) (-.f32 (.f32 64/3 (pow.f32 x 6)) (log.f32 x))) (fma.f32 4 (.f32 x x) (log.f32 1/2)))
(+.f32 (-.f32 (fma.f32 -8 (pow.f32 x 4) (.f32 64/3 (pow.f32 x 6))) (log.f32 x)) (fma.f32 4 (.f32 x x) (log.f32 1/2)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (+.f32 x x))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x))))
(+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x)))) (/.f32 1/32 (pow.f32 x 4)))
(+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x))) (/.f32 -1/32 (pow.f32 x 4)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (log.f32 2) (/.f32 1/192 (pow.f32 x 6))) (/.f32 1/4 (*.f32 x x)))) (/.f32 1/32 (pow.f32 x 4)))
(+.f32 (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x))) (/.f32 1/192 (pow.f32 x 6))) (/.f32 -1/32 (pow.f32 x 4)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/4 (/.f32 1 (pow.f32 x 2))) (log.f32 -2)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 -2)))
(+.f32 (/.f32 1/4 (*.f32 x x)) (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 -2))) (/.f32 1/32 (pow.f32 x 4)))
(+.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4))))
(+.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -2) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6)))) (/.f32 1/32 (pow.f32 x 4)))
(+.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (-.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))) (/.f32 1/32 (pow.f32 x 4))))
(-.f32 (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (/.f32 1/192 (pow.f32 x 6)) (log.f32 -2))) (/.f32 -1/32 (pow.f32 x 4))) (log.f32 (/.f32 -1 x)))
(/.f32 1/2 x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(*.f32 2 x)
(+.f32 x x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(*.f32 2 x)
(+.f32 x x)
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(/.f32 1/2 x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
x
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
x
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
(+.f32 (*.f32 1/2 (/.f32 1 x)) x)
(+.f32 x (/.f32 1/2 x))
(+.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))) 0)
(log.f32 (fma.f32 x 2 (/.f32 1/2 x)))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(log.f32 (fma.f32 x 2 (/.f32 1/2 x)))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (/.f32 1 (-.f32 x (+.f32 x (/.f32 1/2 x))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (-.f32 x (+.f32 x (/.f32 1/2 x)))))
(-.f32 (log.f32 (*.f32 (fma.f32 x 2 (/.f32 1/2 x)) (/.f32 -1/2 x))) (log.f32 (/.f32 -1/2 x)))
(+.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (/.f32 1 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (+.f32 x (-.f32 (/.f32 1/2 x) x)) (*.f32 x x))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (neg.f32 (/.f32 -1/2 x)) (*.f32 x x)) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) -1/2)))
(+.f32 0 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))
(log.f32 (fma.f32 x 2 (/.f32 1/2 x)))
(+.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))) (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))))
(log.f32 (fma.f32 x 2 (/.f32 1/2 x)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 1/2 x)))))
(log.f32 (fma.f32 x 2 (/.f32 1/2 x)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))) 1)
(log.f32 (fma.f32 x 2 (/.f32 1/2 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))) (log.f32 (-.f32 x (+.f32 x (/.f32 1/2 x)))))
(-.f32 (log.f32 (*.f32 (fma.f32 x 2 (/.f32 1/2 x)) (/.f32 -1/2 x))) (log.f32 (/.f32 -1/2 x)))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (-.f32 (+.f32 x (/.f32 1/2 x)) x) (*.f32 x x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (+.f32 x (-.f32 (/.f32 1/2 x) x)) (*.f32 x x))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (+.f32 x (/.f32 1/2 x)) (neg.f32 (/.f32 -1/2 x)) (*.f32 x x)) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) -1/2)))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))) (log.f32 (+.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 x (/.f32 1/2 x)))))))
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(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 1 x (+.f32 x (/.f32 1/2 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 1 (/.f32 1/2 x) (+.f32 x x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 1 (+.f32 x (/.f32 1/2 x)) x)
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 1 (+.f32 x x) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2) x)
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2) (cbrt.f32 (+.f32 x (/.f32 1/2 x))) x)
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (+.f32 x (/.f32 1/2 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 x (/.f32 1/2 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (+.f32 (cbrt.f32 x) (cbrt.f32 x)) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (+.f32 x x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)) (+.f32 x x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) (sqrt.f32 (+.f32 x (/.f32 1/2 x))) x)
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (/.f32 1/2 x)))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) (+.f32 x x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 -1/2 (/.f32 1 (neg.f32 x)) (+.f32 x x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))) x)
(+.f32 x (/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))))
(+.f32 x (/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (.f32 x x) (+.f32 (.f32 1/4 (pow.f32 x -2)) -1/2))))
(fma.f32 (+.f32 x x) 1 (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (/.f32 1 x) 1/2 (+.f32 x x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (/.f32 1 (-.f32 x (/.f32 1/2 x))) x)
(fma.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (/.f32 1 (-.f32 x (/.f32 1/2 x))) x)
(+.f32 x (/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x x)) 2) (cbrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (+.f32 x x)) (sqrt.f32 (+.f32 x x)) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(fma.f32 2 x (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 1/2 x))
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (/.f32 1/2 x)))) 1)
(+.f32 x (/.f32 1/2 x))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (/.f32 1/2 x))) (/.f32 (.f32 1/4 (pow.f32 x -2)) (-.f32 x (/.f32 1/2 x))))
(/.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x)))
(*.f32 (+.f32 x (/.f32 1/2 x)) 1)
(+.f32 x (/.f32 1/2 x))
(*.f32 1 (+.f32 x (/.f32 1/2 x)))
(+.f32 x (/.f32 1/2 x))
(*.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2))
(+.f32 x (/.f32 1/2 x))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 2) (cbrt.f32 (+.f32 x (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(*.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) (sqrt.f32 (+.f32 x (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (.f32 x x) (+.f32 (.f32 1/4 (pow.f32 x -2)) -1/2)))
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (pow.f32 (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))) 1))
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (.f32 x x) (+.f32 (.f32 1/4 (pow.f32 x -2)) -1/2)))
(.f32 (-.f32 (.f32 x x) (*.f32 1/4 (pow.f32 x -2))) (/.f32 1 (-.f32 x (/.f32 1/2 x))))
(/.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x)))
(.f32 (-.f32 (.f32 x x) (*.f32 1/4 (pow.f32 x -2))) (pow.f32 (/.f32 1 (-.f32 x (/.f32 1/2 x))) 1))
(/.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x)))
(*.f32 (pow.f32 1 1/3) (+.f32 x (/.f32 1/2 x)))
(+.f32 x (/.f32 1/2 x))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3))
(+.f32 x (/.f32 1/2 x))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 2) 3) (cbrt.f32 (+.f32 x (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(.f32 (pow.f32 (pow.f32 (.f32 (+.f32 x (/.f32 1/2 x)) (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))))
(.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (.f32 (+.f32 x (/.f32 1/2 x)) (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) (cbrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 8)))
(*.f32 (pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 5/2)) (cbrt.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x)))))
(/.f32 1 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)) (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))))
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (.f32 x x) (+.f32 (.f32 1/4 (pow.f32 x -2)) -1/2)))
(/.f32 1 (/.f32 (-.f32 x (/.f32 1/2 x)) (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2)))))
(/.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)))
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (.f32 x x) (+.f32 (.f32 1/4 (pow.f32 x -2)) -1/2)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 1/4 (pow.f32 x -2) (-.f32 (.f32 x x) (.f32 x (/.f32 1/2 x)))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 1/4 (pow.f32 x -2) (*.f32 x (-.f32 x (/.f32 1/2 x)))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 1/4 (pow.f32 x -2) (*.f32 x (+.f32 x (/.f32 -1/2 x)))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 1/4 (pow.f32 x -2) (fma.f32 x x -1/2)))
(/.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x)))
(/.f32 (neg.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))) (neg.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x))))
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (.f32 x x) (+.f32 (.f32 1/4 (pow.f32 x -2)) -1/2)))
(/.f32 (neg.f32 (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2)))) (neg.f32 (-.f32 x (/.f32 1/2 x))))
(/.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x)))
(/.f32 (-.f32 (.f32 1/4 (pow.f32 x -2)) (.f32 x x)) (-.f32 (/.f32 1/2 x) x))
(/.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x)))
(pow.f32 (+.f32 x (/.f32 1/2 x)) 1)
(+.f32 x (/.f32 1/2 x))
(pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2) 1/2)
(+.f32 x (/.f32 1/2 x))
(pow.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x))) 3)
(+.f32 x (/.f32 1/2 x))
(pow.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x))) 2)
(+.f32 x (/.f32 1/2 x))
(pow.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3) 1/3)
(+.f32 x (/.f32 1/2 x))
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(pow.f32 (/.f32 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)) (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3))) -1)
(.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (.f32 x x))))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (fma.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/2 x) x) (*.f32 x x)))
(/.f32 (fma.f32 1/8 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (.f32 x x) (+.f32 (.f32 1/4 (pow.f32 x -2)) -1/2)))
(pow.f32 (/.f32 (-.f32 x (/.f32 1/2 x)) (-.f32 (.f32 x x) (.f32 1/4 (pow.f32 x -2)))) -1)
(/.f32 (+.f32 (.f32 x x) (.f32 -1/4 (pow.f32 x -2))) (-.f32 x (/.f32 1/2 x)))
(/.f32 (fma.f32 x x (*.f32 (pow.f32 x -2) -1/4)) (+.f32 x (/.f32 -1/2 x)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (+.f32 x (/.f32 1/2 x)))))
(sqrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 2))
(+.f32 x (/.f32 1/2 x))
(log.f32 (exp.f32 (+.f32 x (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (/.f32 1/2 x)))))
(+.f32 x (/.f32 1/2 x))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(+.f32 x (/.f32 1/2 x))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (/.f32 1/2 x)))))
(+.f32 x (/.f32 1/2 x))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (exp.f32 x)))
(+.f32 x (/.f32 1/2 x))
(log.f32 (*.f32 (exp.f32 (/.f32 1/2 x)) (+.f32 1 (expm1.f32 x))))
(+.f32 x (/.f32 1/2 x))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))) (+.f32 1 (expm1.f32 x))))
(+.f32 x (/.f32 1/2 x))
(cbrt.f32 (pow.f32 (+.f32 x (/.f32 1/2 x)) 3))
(+.f32 x (/.f32 1/2 x))
(expm1.f32 (log1p.f32 (+.f32 x (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(log1p.f32 (expm1.f32 (+.f32 x (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(exp.f32 (log.f32 (+.f32 x (/.f32 1/2 x))))
(+.f32 x (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 1))
(+.f32 x (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (/.f32 1/2 x)))) 3))
(+.f32 x (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (/.f32 1/2 x)))) 2))
(+.f32 x (/.f32 1/2 x))
(exp.f32 (.f32 (.f32 3 (log.f32 (+.f32 x (/.f32 1/2 x)))) 1/3))
(+.f32 x (/.f32 1/2 x))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 1) 1))
(+.f32 x (/.f32 1/2 x))
(exp.f32 (.f32 (.f32 (log.f32 (+.f32 x (/.f32 1/2 x))) 3) 1/3))
(+.f32 x (/.f32 1/2 x))
(fma.f32 x 1 (/.f32 1/2 x))
(+.f32 x (/.f32 1/2 x))
(fma.f32 1/2 (/.f32 1 x) x)
(+.f32 x (/.f32 1/2 x))
(fma.f32 (/.f32 1/2 x) 1 x)
(+.f32 x (/.f32 1/2 x))
(fma.f32 1 x (/.f32 1/2 x))
(+.f32 x (/.f32 1/2 x))
(fma.f32 1 (/.f32 1/2 x) x)
(+.f32 x (/.f32 1/2 x))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (/.f32 1/2 x))
(+.f32 x (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (/.f32 1/2 x))
(+.f32 x (/.f32 1/2 x))
(fma.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) x)
(+.f32 x (/.f32 1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)) x)
(+.f32 x (/.f32 1/2 x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (/.f32 1/2 x))
(+.f32 x (/.f32 1/2 x))
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)) x)
(+.f32 x (/.f32 1/2 x))
(fma.f32 -1/2 (/.f32 1 (neg.f32 x)) x)
(+.f32 x (/.f32 1/2 x))
(fma.f32 (/.f32 1 x) 1/2 x)
(+.f32 x (/.f32 1/2 x))

localize50.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(log.f32 x)
✓	0.2b	(+.f32 (log.f32 2) (log.f32 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series12.0ms (0.2%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(+.f32 (log.f32 2) (log.f32 x))
0.0ms	x	@	-inf	(+.f32 (log.f32 2) (log.f32 x))
0.0ms	x	@	inf	(+.f32 (log.f32 2) (log.f32 x))

rewrite39.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`pow1_binary32`
588×	`add-log-exp_binary32`
587×	`log1p-expm1-u_binary32`
587×	`expm1-log1p-u_binary32`
576×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	127	6
2	1617	6

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(+.f32 (log.f32 2) (log.f32 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (*.f32 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (*.f32 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (*.f32 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 x) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))))))

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-neg_binary32`
411×	`div-sub_binary32`
386×	`associate-l_binary32`
332×	`associate-r_binary32`
230×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	647
1	224	432
2	658	422
3	3869	422

Stop Event

1×	node limit

Counts

41 → 43

Calls

Call 1

Inputs
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 1 (log.f32 (*.f32 2 x))) 1)
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))
(.f32 (log.f32 (.f32 2 x)) 1)
(.f32 1 (log.f32 (.f32 2 x)))
(.f32 (cbrt.f32 (log.f32 (.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x))))
(.f32 (sqrt.f32 (log.f32 (.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x))))
(.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))))
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(pow.f32 (log.f32 (*.f32 2 x)) 1)
(pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2))
(log.f32 (*.f32 2 x))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x))))
(log1p.f32 (-.f32 (*.f32 2 x) 1))
(exp.f32 (log.f32 (log.f32 (*.f32 2 x))))
(fma.f32 1 (log.f32 2) (log.f32 x))
(fma.f32 1 (log.f32 x) (log.f32 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))

Outputs
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 2) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 2) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 2) (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1)))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 2) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 1 (log.f32 (*.f32 2 x))) 1)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 (log.f32 (.f32 2 x)) 1)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 1 (log.f32 (.f32 2 x)))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 (cbrt.f32 (log.f32 (.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 (sqrt.f32 (log.f32 (.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 (.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2)))
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(pow.f32 (log.f32 (*.f32 2 x)) 1)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2)
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(log.f32 (*.f32 2 x))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(log1p.f32 (-.f32 (*.f32 2 x) 1))
(log1p.f32 (fma.f32 2 x -1))
(exp.f32 (log.f32 (log.f32 (*.f32 2 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 1 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 1 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(log.f32 (*.f32 2 x))

localize56.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
✓	0.2b	(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
	3.8b	(+.f32 x (hypot.f32 1 x))
	12.5b	(log.f32 (+.f32 x (hypot.f32 1 x)))

Compiler

Compiled 42 to 29 computations (31% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
2.0ms	x	@	inf	(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
0.0ms	x	@	0	(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
0.0ms	x	@	0	(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
0.0ms	x	@	-inf	(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))

rewrite77.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`pow1_binary32`
650×	`expm1-log1p-u_binary32`
649×	`add-log-exp_binary32`
649×	`log1p-expm1-u_binary32`
635×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	142	20
2	1765	20

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (+.f32 1 (*.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1) (+.f32 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))))))

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-def_binary32`
398×	`distribute-rgt-in_binary32`
375×	`distribute-lft-in_binary32`
321×	`associate-+l+_binary32`
298×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	1583
1	593	1300
2	1956	1273

Stop Event

1×	node limit

Counts

62 → 125

Calls

Call 1

Inputs
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
x
(+.f32 (*.f32 -1/2 (pow.f32 x 2)) x)
(+.f32 (.f32 1/6 (pow.f32 x 3)) (+.f32 (.f32 -1/2 (pow.f32 x 2)) x))
(+.f32 (.f32 1/6 (pow.f32 x 3)) (+.f32 (.f32 -1/2 (pow.f32 x 2)) (+.f32 (*.f32 -1/12 (pow.f32 x 4)) x)))
(log.f32 (+.f32 1 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))
(+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (pow.f32 x 2)))))
(+.f32 (.f32 1/4 (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (pow.f32 x 2)))) (+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))) (.f32 -1/24 (/.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 2))) (.f32 9/4 (/.f32 1 (+.f32 1 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))))) (pow.f32 x 4)))))
(+.f32 (.f32 1/4 (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) (pow.f32 x 2)))) (+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))) (+.f32 (.f32 1/720 (/.f32 (+.f32 (.f32 135/8 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 2))) (+.f32 (.f32 15/4 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 3))) (.f32 75/2 (/.f32 1 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))))))) (pow.f32 x 6))) (.f32 -1/24 (/.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x))))) 2))) (.f32 9/4 (/.f32 1 (+.f32 1 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))))))) (pow.f32 x 4))))))
(log.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))))
(-.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)))) (.f32 1/4 (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)))) (.f32 1/24 (/.f32 (-.f32 (.f32 9/4 (/.f32 1 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))))) (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) 2)))) (pow.f32 x 4)))) (.f32 1/4 (/.f32 1 (*.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)))) (+.f32 (.f32 1/720 (/.f32 (-.f32 (.f32 135/8 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) 2))) (+.f32 (.f32 15/4 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) 3))) (.f32 75/2 (/.f32 1 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))))))) (pow.f32 x 6))) (.f32 1/24 (/.f32 (-.f32 (.f32 9/4 (/.f32 1 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))))) (.f32 3/4 (/.f32 1 (pow.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) 2)))) (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (*.f32 (+.f32 1 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))) (pow.f32 x 2)))))
(+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) -1)
(+.f32 0 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))) (log.f32 (sqrt.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))) 2)) (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(-.f32 (log.f32 (-.f32 (.f32 x x) (+.f32 1 (.f32 x x)))) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1) (+.f32 (.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 1 (.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))))
(/.f32 (-.f32 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(-.f32 (+.f32 1 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(*.f32 1 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(*.f32 (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(log.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(cbrt.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(exp.f32 (log.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))

Outputs
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(fma.f32 -1/6 (pow.f32 x 3) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(fma.f32 -1/6 (pow.f32 x 3) (fma.f32 3/40 (pow.f32 x 5) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
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(-.f32 (log.f32 -1) (log.f32 (-.f32 x (hypot.f32 1 x))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 x x (*.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x))))
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1) (+.f32 (.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) (+.f32 1 (.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) -1) (fma.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (fma.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x)))))))
(/.f32 (-.f32 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1) (+.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(log1p.f32 (-.f32 (+.f32 x (hypot.f32 1 x)) 1))
(log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
(log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(log1p.f32 (+.f32 x (+.f32 -1 (hypot.f32 1 x))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 -1 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(-.f32 (+.f32 1 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 1)
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 1 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (cbrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 3)
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(pow.f32 (sqrt.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) 2)
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(sqrt.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(cbrt.f32 (pow.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(expm1.f32 (log1p.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(exp.f32 (log.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))
(+.f32 1 (-.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1))
(log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))

eval378.0ms (6.4%)

Compiler: Compiled 13100 to 9488 computations (27.6% saved)

prune149.0ms (2.5%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	660	5	665
Fresh	5	7	12
Picked	1	0	1
Done	1	6	7
Total	667	18	685

Error

Counts

685 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	20.5b	(copysign.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x))))))) x)
	24.3b	(copysign.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x))) x)
	15.4b	(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
✓	27.4b	(copysign.f32 (+.f32 1 (log.f32 x)) x)
	20.6b	(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
	19.1b	(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
▶	7.9b	(copysign.f32 (log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1))) x)
✓	13.5b	(copysign.f32 (log1p.f32 x) x)
▶	23.1b	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
▶	23.8b	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
	23.2b	(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
▶	23.2b	(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
	20.4b	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
✓	23.7b	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
▶	23.9b	(copysign.f32 (log.f32 (+.f32 x x)) x)
✓	27.7b	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	22.0b	(copysign.f32 (exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
✓	14.4b	(copysign.f32 x x)

Compiler

Compiled 328 to 233 computations (29% saved)

localize42.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.3b	(log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
✓	5.9b	(-.f32 (hypot.f32 1 x) 1)
✓	6.5b	(+.f32 x (-.f32 (hypot.f32 1 x) 1))

Compiler

Compiled 36 to 26 computations (27.8% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
0.0ms	x	@	inf	(log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
0.0ms	x	@	0	(+.f32 x (-.f32 (hypot.f32 1 x) 1))
0.0ms	x	@	-inf	(log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))
0.0ms	x	@	0	(-.f32 (hypot.f32 1 x) 1)

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`pow1_binary32`
790×	`add-log-exp_binary32`
789×	`expm1-log1p-u_binary32`
788×	`log1p-expm1-u_binary32`
774×	`add-exp-log_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	156	29
2	2159	26

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(+.f32 x (-.f32 (hypot.f32 1 x) 1))
(-.f32 (hypot.f32 1 x) 1)
(log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (hypot.f32 1 x) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (hypot.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (+.f32 (-.f32 x (hypot.f32 1 x)) 1)) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (+.f32 (-.f32 x (hypot.f32 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (+.f32 (-.f32 x (hypot.f32 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (-.f32 x (hypot.f32 1 x)) 1) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (*.f32 x x) (*.f32 x (+.f32 (hypot.f32 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))) (neg.f32 (+.f32 (-.f32 x (hypot.f32 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1) (+.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) (+.f32 1 (*.f32 (+.f32 x (hypot.f32 1 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) 1) (+.f32 (+.f32 x (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 (hypot.f32 1 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (hypot.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (hypot.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (hypot.f32 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1) (/.f32 1 (+.f32 (pow.f32 (hypot.f32 1 x) 2) (+.f32 1 (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1) (/.f32 1 (+.f32 1 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) 1) (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) (+.f32 1 (hypot.f32 1 x))) (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1) (+.f32 (pow.f32 (hypot.f32 1 x) 2) (+.f32 1 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1) (+.f32 (pow.f32 (hypot.f32 1 x) 2) (-.f32 1 (*.f32 (hypot.f32 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1) (+.f32 1 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1) (-.f32 (hypot.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1)) (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) (+.f32 1 (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1)) (neg.f32 (+.f32 1 (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (hypot.f32 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (hypot.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x (hypot.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))))))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

599×	`distribute-rgt-in_binary32`
544×	`distribute-lft-in_binary32`
484×	`unswap-sqr_binary32`
411×	`times-frac_binary32`
287×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	1833
1	743	1678
2	2518	1674

Stop Event

1×	node limit

Counts

118 → 194

Calls

Call 1

Inputs
x
(+.f32 (*.f32 1/2 (pow.f32 x 2)) x)
(+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) x))
(+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) x)))
(*.f32 2 x)
(-.f32 (*.f32 2 x) 1)
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 2 x)) 1)
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 2 x)) (+.f32 1 (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
-1
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) 1))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 1 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))))))
(*.f32 1/2 (pow.f32 x 2))
(+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/8 (pow.f32 x 4)))
(+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (.f32 1/2 (pow.f32 x 2)) (*.f32 -1/8 (pow.f32 x 4))))
(+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) (.f32 -5/128 (pow.f32 x 8)))))
x
(-.f32 x 1)
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) x) 1)
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) x) (+.f32 1 (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(*.f32 -1 x)
(-.f32 (*.f32 -1 x) 1)
(-.f32 (.f32 -1 x) (+.f32 (.f32 1/2 (/.f32 1 x)) 1))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 -1 x)) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1))
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (hypot.f32 1 x) (-.f32 1 x))
(-.f32 (+.f32 x (hypot.f32 1 x)) 1)
(-.f32 (/.f32 (*.f32 x x) (+.f32 (-.f32 x (hypot.f32 1 x)) 1)) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (+.f32 (-.f32 x (hypot.f32 1 x)) 1)))
(*.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(*.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (+.f32 (-.f32 x (hypot.f32 1 x)) 1)))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))
(/.f32 1 (/.f32 (+.f32 (-.f32 x (hypot.f32 1 x)) 1) (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (+.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (-.f32 (.f32 x x) (.f32 x (+.f32 (hypot.f32 1 x) -1)))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (+.f32 (-.f32 x (hypot.f32 1 x)) 1))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))) (neg.f32 (+.f32 (-.f32 x (hypot.f32 1 x)) 1)))
(/.f32 (-.f32 (pow.f32 (+.f32 x (hypot.f32 1 x)) 3) 1) (+.f32 (.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) (+.f32 1 (.f32 (+.f32 x (hypot.f32 1 x)) 1))))
(/.f32 (-.f32 (*.f32 (+.f32 x (hypot.f32 1 x)) (+.f32 x (hypot.f32 1 x))) 1) (+.f32 (+.f32 x (hypot.f32 1 x)) 1))
(/.f32 (-.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (*.f32 x x)) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))
(pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(pow.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3) 1/3)
(pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)
(pow.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2)
(sqrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 2))
(log.f32 (exp.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(cbrt.f32 (pow.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 3))
(expm1.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))
(log1p.f32 (expm1.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(exp.f32 (log.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(fma.f32 1 x (+.f32 (hypot.f32 1 x) -1))
(fma.f32 1 (+.f32 (hypot.f32 1 x) -1) x)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(fma.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 (hypot.f32 1 x) -1))
(+.f32 (hypot.f32 1 x) -1)
(+.f32 -1 (hypot.f32 1 x))
(*.f32 1 (+.f32 (hypot.f32 1 x) -1))
(*.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(*.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2) (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(*.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1) (/.f32 1 (+.f32 (pow.f32 (hypot.f32 1 x) 2) (+.f32 1 (hypot.f32 1 x)))))
(*.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1) (/.f32 1 (+.f32 1 (hypot.f32 1 x))))
(*.f32 (+.f32 (sqrt.f32 (hypot.f32 1 x)) 1) (-.f32 (sqrt.f32 (hypot.f32 1 x)) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) (+.f32 1 (hypot.f32 1 x))) (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1)))
(/.f32 1 (/.f32 (+.f32 1 (hypot.f32 1 x)) (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1) (+.f32 (pow.f32 (hypot.f32 1 x) 2) (+.f32 1 (hypot.f32 1 x))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1) (+.f32 (pow.f32 (hypot.f32 1 x) 2) (-.f32 1 (*.f32 (hypot.f32 1 x) -1))))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1) (+.f32 1 (hypot.f32 1 x)))
(/.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1) (-.f32 (hypot.f32 1 x) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 3) -1)) (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) (+.f32 1 (hypot.f32 1 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (hypot.f32 1 x) 2) -1)) (neg.f32 (+.f32 1 (hypot.f32 1 x))))
(pow.f32 (+.f32 (hypot.f32 1 x) -1) 1)
(pow.f32 (cbrt.f32 (+.f32 (hypot.f32 1 x) -1)) 3)
(pow.f32 (sqrt.f32 (+.f32 (hypot.f32 1 x) -1)) 2)
(pow.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2))
(log.f32 (exp.f32 (+.f32 (hypot.f32 1 x) -1)))
(cbrt.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))
(expm1.f32 (log.f32 (hypot.f32 1 x)))
(log1p.f32 (expm1.f32 (+.f32 (hypot.f32 1 x) -1)))
(exp.f32 (log.f32 (+.f32 (hypot.f32 1 x) -1)))
(fma.f32 1 (hypot.f32 1 x) -1)
(fma.f32 (pow.f32 (cbrt.f32 (hypot.f32 1 x)) 2) (cbrt.f32 (hypot.f32 1 x)) -1)
(fma.f32 (sqrt.f32 (hypot.f32 1 x)) (sqrt.f32 (hypot.f32 1 x)) -1)
(-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1)
(*.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x))))
(*.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 2))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))

Outputs
x
(+.f32 (*.f32 1/2 (pow.f32 x 2)) x)
(fma.f32 1/2 (*.f32 x x) x)
(+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) x))
(fma.f32 1/2 (*.f32 x x) (fma.f32 -1/8 (pow.f32 x 4) x))
(+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (*.f32 -1/8 (pow.f32 x 4)) x)))
(fma.f32 1/2 (*.f32 x x) (fma.f32 1/16 (pow.f32 x 6) (fma.f32 -1/8 (pow.f32 x 4) x)))
(*.f32 2 x)
(*.f32 x 2)
(-.f32 (*.f32 2 x) 1)
(fma.f32 2 x -1)
(fma.f32 x 2 -1)
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 2 x)) 1)
(+.f32 (/.f32 1/2 x) (fma.f32 2 x -1))
(+.f32 (fma.f32 x 2 -1) (/.f32 1/2 x))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 2 x)) (+.f32 1 (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (+.f32 (/.f32 1/2 x) (fma.f32 2 x -1)) (/.f32 1/8 (pow.f32 x 3)))
(-.f32 (fma.f32 x 2 (/.f32 1/2 x)) (+.f32 1 (/.f32 1/8 (pow.f32 x 3))))
(+.f32 (/.f32 1/2 x) (+.f32 (fma.f32 x 2 -1) (/.f32 -1/8 (pow.f32 x 3))))
-1
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(+.f32 -1 (neg.f32 (/.f32 1/2 x)))
(-.f32 (/.f32 -1/2 x) 1)
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) 1))
(-.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 1 (/.f32 1/2 x)))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 -1/2 x) 1))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 1 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))))))
(-.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (+.f32 1 (/.f32 1/16 (pow.f32 x 5)))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (-.f32 (/.f32 -1/2 x) 1) (/.f32 -1/16 (pow.f32 x 5))))
(*.f32 1/2 (pow.f32 x 2))
(.f32 1/2 (.f32 x x))
(.f32 x (.f32 x 1/2))
(+.f32 (.f32 1/2 (pow.f32 x 2)) (.f32 -1/8 (pow.f32 x 4)))
(fma.f32 1/2 (.f32 x x) (.f32 -1/8 (pow.f32 x 4)))
(+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (.f32 1/2 (pow.f32 x 2)) (*.f32 -1/8 (pow.f32 x 4))))
(fma.f32 1/16 (pow.f32 x 6) (fma.f32 1/2 (.f32 x x) (.f32 -1/8 (pow.f32 x 4))))
(+.f32 (.f32 1/16 (pow.f32 x 6)) (+.f32 (.f32 1/2 (pow.f32 x 2)) (+.f32 (.f32 -1/8 (pow.f32 x 4)) (.f32 -5/128 (pow.f32 x 8)))))
(fma.f32 1/16 (pow.f32 x 6) (fma.f32 1/2 (.f32 x x) (fma.f32 -1/8 (pow.f32 x 4) (.f32 -5/128 (pow.f32 x 8)))))
(fma.f32 1/16 (pow.f32 x 6) (fma.f32 1/2 (.f32 x x) (fma.f32 -5/128 (pow.f32 x 8) (.f32 -1/8 (pow.f32 x 4)))))
x
(-.f32 x 1)
(+.f32 x -1)
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 x)) x) 1)
(+.f32 (/.f32 1/2 x) (+.f32 x -1))
(+.f32 x (-.f32 (/.f32 1/2 x) 1))
(+.f32 x (+.f32 (/.f32 1/2 x) -1))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) x) (+.f32 1 (.f32 1/8 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (/.f32 1/2 x) (-.f32 x (+.f32 1 (/.f32 1/8 (pow.f32 x 3)))))
(+.f32 x (-.f32 (/.f32 1/2 x) (+.f32 1 (/.f32 1/8 (pow.f32 x 3)))))
(+.f32 (/.f32 1/2 x) (+.f32 (+.f32 x -1) (/.f32 -1/8 (pow.f32 x 3))))
(*.f32 -1 x)
(neg.f32 x)
(-.f32 (*.f32 -1 x) 1)
(fma.f32 -1 x -1)
(-.f32 -1 x)
(-.f32 (.f32 -1 x) (+.f32 (.f32 1/2 (/.f32 1 x)) 1))
(-.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1)
(+.f32 (-.f32 -1 x) (/.f32 -1/2 x))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 -1 x)) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (-.f32 (neg.f32 x) (/.f32 1/2 x)) 1))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (-.f32 -1 x) (/.f32 -1/2 x)))
x
(+.f32 (*.f32 -1/6 (pow.f32 x 3)) x)
(fma.f32 -1/6 (pow.f32 x 3) x)
(fma.f32 (pow.f32 x 3) -1/6 x)
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) x))
(fma.f32 -1/6 (pow.f32 x 3) (fma.f32 3/40 (pow.f32 x 5) x))
(fma.f32 (pow.f32 x 3) -1/6 (fma.f32 (pow.f32 x 5) 3/40 x))
(+.f32 (.f32 -1/6 (pow.f32 x 3)) (+.f32 (.f32 3/40 (pow.f32 x 5)) (+.f32 (*.f32 -5/112 (pow.f32 x 7)) x)))
(fma.f32 -1/6 (pow.f32 x 3) (fma.f32 3/40 (pow.f32 x 5) (fma.f32 -5/112 (pow.f32 x 7) x)))
(fma.f32 (pow.f32 x 3) -1/6 (fma.f32 (pow.f32 x 5) 3/40 (fma.f32 -5/112 (pow.f32 x 7) x)))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x))))
(+.f32 (log.f32 2) (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 x)))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 1/4 (*.f32 x x))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))) (*.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x)))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 x) (+.f32 (log.f32 2) (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (+.f32 (log.f32 2) (/.f32 1/4 (*.f32 x x))) (-.f32 (log.f32 x) (/.f32 3/32 (pow.f32 x 4))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (+.f32 (log.f32 2) (/.f32 5/96 (pow.f32 x 6))) (/.f32 1/4 (*.f32 x x)))) (/.f32 3/32 (pow.f32 x 4)))
(+.f32 (log.f32 x) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))) (-.f32 (log.f32 2) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 x) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))) (+.f32 (log.f32 2) (/.f32 -3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (/.f32 1/4 (*.f32 x x)))
(+.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (/.f32 -1/4 (*.f32 x x)))
(+.f32 (log.f32 (/.f32 -1 x)) (-.f32 (log.f32 1/2) (/.f32 1/4 (*.f32 x x))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 1/2))) (/.f32 1/4 (*.f32 x x)))
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (-.f32 (/.f32 3/32 (pow.f32 x 4)) (/.f32 1/4 (*.f32 x x)))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 1/2) (.f32 3/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 1/2))) (/.f32 5/96 (pow.f32 x 6))) (/.f32 1/4 (*.f32 x x)))
(+.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (-.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))))
(+.f32 (+.f32 (log.f32 1/2) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 (/.f32 -1 x)))) (-.f32 (/.f32 -5/96 (pow.f32 x 6)) (/.f32 1/4 (*.f32 x x))))
(-.f32 (hypot.f32 1 x) (-.f32 1 x))
(+.f32 (-.f32 (hypot.f32 1 x) 1) x)
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(-.f32 (+.f32 x (hypot.f32 1 x)) 1)
(+.f32 (-.f32 (hypot.f32 1 x) 1) x)
(-.f32 (hypot.f32 1 x) (-.f32 1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(-.f32 (/.f32 (*.f32 x x) (+.f32 (-.f32 x (hypot.f32 1 x)) 1)) (/.f32 (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2) (+.f32 (-.f32 x (hypot.f32 1 x)) 1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 2)) (+.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 2)) (-.f32 (-.f32 x -1) (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 2) (*.f32 x x)) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))
(*.f32 1 (+.f32 x (+.f32 (hypot.f32 1 x) -1)))
(+.f32 (-.f32 (hypot.f32 1 x) 1) x)
(-.f32 (hypot.f32 1 x) (-.f32 1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1)) 1)
(+.f32 (-.f32 (hypot.f32 1 x) 1) x)
(-.f32 (hypot.f32 1 x) (-.f32 1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2))
(+.f32 (-.f32 (hypot.f32 1 x) 1) x)
(-.f32 (hypot.f32 1 x) (-.f32 1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 2) (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 (-.f32 (hypot.f32 1 x) 1) x)
(-.f32 (hypot.f32 1 x) (-.f32 1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) (sqrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))))
(+.f32 (-.f32 (hypot.f32 1 x) 1) x)
(-.f32 (hypot.f32 1 x) (-.f32 1 x))
(+.f32 (hypot.f32 1 x) (+.f32 x -1))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 -1 (hypot.f32 1 x)) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 3)) (fma.f32 x x (*.f32 (+.f32 -1 (hypot.f32 1 x)) (+.f32 -1 (-.f32 (hypot.f32 1 x) x)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 3)) (fma.f32 x x (*.f32 (+.f32 -1 (hypot.f32 1 x)) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))))
(.f32 (-.f32 (.f32 x x) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 2)) (/.f32 1 (+.f32 (-.f32 x (hypot.f32 1 x)) 1)))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 2)) (+.f32 1 (-.f32 x (hypot.f32 1 x))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 2)) (-.f32 (-.f32 x -1) (hypot.f32 1 x)))
(/.f32 (-.f32 (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 2) (*.f32 x x)) (+.f32 (hypot.f32 1 x) (-.f32 -1 x)))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 (hypot.f32 1 x) -1) (-.f32 (+.f32 (hypot.f32 1 x) -1) x))) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (hypot.f32 1 x) -1) 3))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 3)) (/.f32 1 (fma.f32 x x (.f32 (+.f32 -1 (hypot.f32 1 x)) (+.f32 (hypot.f32 1 x) (-.f32 -1 x))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 -1 (hypot.f32 1 x)) 3)) (fma.f32 x x (*.f32 (+.f32 -1 (hypot.f32 1 x)) (+.f32 -1 (-.f32 (hypot.f32 1 x) x)))))
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(log.f32 (+.f32 x (hypot.f32 1 x)))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(+.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 3))
(+.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))
(exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))))
(+.f32 1 (-.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) 1))
(log.f32 (+.f32 x (hypot.f32 1 x)))

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(log.f32 (+.f32 x x))

Compiler

Compiled 15 to 4 computations (73.3% saved)

series24.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(log.f32 (+.f32 x x))
7.0ms	x	@	inf	(log.f32 (+.f32 x x))
6.0ms	x	@	0	(log.f32 (+.f32 x x))

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`pow1_binary32`
379×	`add-sqr-sqrt_binary32`
371×	`*-un-lft-identity_binary32`
367×	`add-log-exp_binary32`
366×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	85	6
2	1194	6

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 x) (log1p.f32 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 4) (*.f32 2 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (log.f32 (cbrt.f32 x))) (log.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 x)) (log.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 1) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 1) (log.f32 (*.f32 x (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (/.f32 1 (fma.f32 x x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 0) (log.f32 (/.f32 1 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 x)) (log.f32 (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 2 (sqrt.f32 x))) (log.f32 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2))) (log.f32 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 2)) (log.f32 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (+.f32 x x) 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 2)) (log.f32 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 0) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (cbrt.f32 (fma.f32 x x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 (*.f32 2 (pow.f32 x 3)) 0)) (log.f32 (*.f32 (fma.f32 x x 0) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 0 (+.f32 x x))) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (sqrt.f32 (fma.f32 x x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (sqrt.f32 0)) (log.f32 (sqrt.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (log.f32 (*.f32 0 (fma.f32 x x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 x x))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (neg.f32 (fma.f32 x x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (pow.f32 (*.f32 2 (pow.f32 x 3)) 2)) (log.f32 (pow.f32 (fma.f32 x x 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (fma.f32 x 2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (log.f32 (+.f32 x x)) 1 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))) (log.f32 (+.f32 x x)))))))

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary32`
546×	`log-prod_binary32`
472×	`associate-l_binary32`
465×	`fma-def_binary32`
437×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	634
1	327	569
2	1025	553
3	5783	553

Stop Event

1×	node limit

Counts

69 → 83

Calls

Call 1

Inputs
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))
(+.f32 (log.f32 (+.f32 x x)) 0)
(+.f32 (log.f32 x) (log1p.f32 1))
(+.f32 0 (log.f32 (+.f32 x x)))
(+.f32 (log.f32 4) (*.f32 2 (log.f32 x)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 x))) (log.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x))))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x))))
(+.f32 (log1p.f32 1) (log.f32 x))
(+.f32 (log1p.f32 1) (log.f32 (*.f32 x (+.f32 x x))))
(+.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (/.f32 1 (fma.f32 x x 0))))
(+.f32 (log.f32 0) (log.f32 (/.f32 1 0)))
(+.f32 (log.f32 (cbrt.f32 x)) (log.f32 (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2))))
(+.f32 (log.f32 (*.f32 2 (sqrt.f32 x))) (log.f32 (sqrt.f32 x)))
(+.f32 (log.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2))) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (cbrt.f32 2)) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (*.f32 (+.f32 x x) 2)) (log.f32 x))
(+.f32 (log.f32 (sqrt.f32 2)) (log.f32 (sqrt.f32 x)))
(-.f32 0 (log.f32 (+.f32 x x)))
(-.f32 0 (log.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 x 3)))))
(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))
(-.f32 (log.f32 0) (log.f32 0))
(-.f32 (log.f32 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (cbrt.f32 (fma.f32 x x 0))))
(-.f32 (log.f32 (.f32 (.f32 2 (pow.f32 x 3)) 0)) (log.f32 (*.f32 (fma.f32 x x 0) 0)))
(-.f32 (log.f32 (*.f32 0 (+.f32 x x))) (log.f32 0))
(-.f32 (log.f32 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (sqrt.f32 (fma.f32 x x 0))))
(-.f32 (log.f32 (sqrt.f32 0)) (log.f32 (sqrt.f32 0)))
(-.f32 (log.f32 (.f32 (+.f32 x x) (.f32 2 (pow.f32 x 3)))) (log.f32 (fma.f32 x x 0)))
(-.f32 (log.f32 (.f32 0 (.f32 2 (pow.f32 x 3)))) (log.f32 (*.f32 0 (fma.f32 x x 0))))
(-.f32 (log.f32 (.f32 (.f32 2 (pow.f32 x 3)) (+.f32 x x))) (log.f32 (fma.f32 x x 0)))
(-.f32 (log.f32 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (neg.f32 (fma.f32 x x 0))))
(-.f32 (log.f32 (pow.f32 (*.f32 2 (pow.f32 x 3)) 2)) (log.f32 (pow.f32 (fma.f32 x x 0) 2)))
(*.f32 (log.f32 (+.f32 x x)) 1)
(*.f32 1 (log.f32 (+.f32 x x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))
(*.f32 3 (log.f32 (+.f32 x x)))
(*.f32 2 (log.f32 (+.f32 x x)))
(*.f32 1/3 (log.f32 (+.f32 x x)))
(*.f32 1/2 (log.f32 (+.f32 x x)))
(pow.f32 (log.f32 (+.f32 x x)) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)
(neg.f32 (log.f32 (+.f32 x x)))
(neg.f32 (log.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 x 3)))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))
(log1p.f32 (fma.f32 x 2 -1))
(exp.f32 (log.f32 (log.f32 (+.f32 x x))))
(fma.f32 (log.f32 (+.f32 x x)) 1 (log.f32 (+.f32 x x)))
(fma.f32 1 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))
(fma.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (log.f32 (+.f32 x x)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))) (log.f32 (+.f32 x x)))
(fma.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))) (log.f32 (+.f32 x x)))

Outputs
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(+.f32 (log.f32 (+.f32 x x)) 0)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 x) (log1p.f32 1))
(+.f32 0 (log.f32 (+.f32 x x)))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 4) (*.f32 2 (log.f32 x)))
(fma.f32 2 (log.f32 x) (log.f32 4))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 x))) (log.f32 (+.f32 (cbrt.f32 x) (cbrt.f32 x))))
(fma.f32 2 (log.f32 (cbrt.f32 x)) (log.f32 (*.f32 2 (cbrt.f32 x))))
(+.f32 (log.f32 2) (*.f32 3 (log.f32 (cbrt.f32 x))))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (+.f32 (sqrt.f32 x) (sqrt.f32 x))))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (*.f32 2 (sqrt.f32 x))))
(+.f32 (log.f32 2) (*.f32 2 (log.f32 (sqrt.f32 x))))
(+.f32 (log1p.f32 1) (log.f32 x))
(+.f32 (log.f32 x) (log1p.f32 1))
(+.f32 (log1p.f32 1) (log.f32 (*.f32 x (+.f32 x x))))
(+.f32 (log1p.f32 1) (log.f32 (.f32 2 (.f32 x x))))
(+.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (/.f32 1 (fma.f32 x x 0))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(+.f32 (log.f32 0) (log.f32 (/.f32 1 0)))
0
(+.f32 (log.f32 (cbrt.f32 x)) (log.f32 (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2))))
(fma.f32 2 (log.f32 (cbrt.f32 x)) (log.f32 (*.f32 2 (cbrt.f32 x))))
(+.f32 (log.f32 2) (*.f32 3 (log.f32 (cbrt.f32 x))))
(+.f32 (log.f32 (*.f32 2 (sqrt.f32 x))) (log.f32 (sqrt.f32 x)))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (*.f32 2 (sqrt.f32 x))))
(+.f32 (log.f32 2) (*.f32 2 (log.f32 (sqrt.f32 x))))
(+.f32 (log.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2))) (log.f32 (cbrt.f32 x)))
(fma.f32 2 (log.f32 (cbrt.f32 x)) (log.f32 (*.f32 2 (cbrt.f32 x))))
(+.f32 (log.f32 2) (*.f32 3 (log.f32 (cbrt.f32 x))))
(+.f32 (log.f32 (cbrt.f32 2)) (log.f32 (cbrt.f32 x)))
(+.f32 (log.f32 (cbrt.f32 x)) (log.f32 (cbrt.f32 2)))
(+.f32 (log.f32 (*.f32 (+.f32 x x) 2)) (log.f32 x))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(+.f32 (log.f32 (sqrt.f32 2)) (log.f32 (sqrt.f32 x)))
(+.f32 (log.f32 (sqrt.f32 x)) (log.f32 (sqrt.f32 2)))
(-.f32 0 (log.f32 (+.f32 x x)))
(neg.f32 (log.f32 (+.f32 x x)))
(-.f32 0 (log.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(-.f32 (log.f32 0) (log.f32 0))
0
(-.f32 (log.f32 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (cbrt.f32 (fma.f32 x x 0))))
(-.f32 (log.f32 (cbrt.f32 (.f32 2 (pow.f32 x 3)))) (log.f32 (cbrt.f32 (.f32 x x))))
(-.f32 (log.f32 (.f32 (.f32 2 (pow.f32 x 3)) 0)) (log.f32 (*.f32 (fma.f32 x x 0) 0)))
0
(-.f32 (log.f32 (*.f32 0 (+.f32 x x))) (log.f32 0))
0
(-.f32 (log.f32 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (sqrt.f32 (fma.f32 x x 0))))
(-.f32 (log.f32 (sqrt.f32 (.f32 2 (pow.f32 x 3)))) (log.f32 (sqrt.f32 (.f32 x x))))
(-.f32 (log.f32 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (fabs.f32 x)))
(-.f32 (log.f32 (sqrt.f32 0)) (log.f32 (sqrt.f32 0)))
0
(-.f32 (log.f32 (.f32 (+.f32 x x) (.f32 2 (pow.f32 x 3)))) (log.f32 (fma.f32 x x 0)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(-.f32 (log.f32 (.f32 0 (.f32 2 (pow.f32 x 3)))) (log.f32 (*.f32 0 (fma.f32 x x 0))))
0
(-.f32 (log.f32 (.f32 (.f32 2 (pow.f32 x 3)) (+.f32 x x))) (log.f32 (fma.f32 x x 0)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(-.f32 (log.f32 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (neg.f32 (fma.f32 x x 0))))
(-.f32 (log.f32 (*.f32 -2 (pow.f32 x 3))) (log.f32 (neg.f32 (fma.f32 x x 0))))
(-.f32 (log.f32 (.f32 -2 (pow.f32 x 3))) (log.f32 (neg.f32 (.f32 x x))))
(-.f32 (log.f32 (.f32 -2 (pow.f32 x 3))) (log.f32 (.f32 x (neg.f32 x))))
(-.f32 (log.f32 (pow.f32 (*.f32 2 (pow.f32 x 3)) 2)) (log.f32 (pow.f32 (fma.f32 x x 0) 2)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(*.f32 (log.f32 (+.f32 x x)) 1)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 1 (log.f32 (+.f32 x x)))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(*.f32 3 (log.f32 (+.f32 x x)))
(*.f32 (log.f32 (+.f32 x x)) 3)
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(*.f32 1/3 (log.f32 (+.f32 x x)))
(*.f32 (log.f32 (+.f32 x x)) 1/3)
(*.f32 1/2 (log.f32 (+.f32 x x)))
(*.f32 (log.f32 (+.f32 x x)) 1/2)
(pow.f32 (log.f32 (+.f32 x x)) 1)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(neg.f32 (log.f32 (+.f32 x x)))
(neg.f32 (log.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(log1p.f32 (fma.f32 x 2 -1))
(log1p.f32 (fma.f32 2 x -1))
(exp.f32 (log.f32 (log.f32 (+.f32 x x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x x))
(fma.f32 (log.f32 (+.f32 x x)) 1 (log.f32 (+.f32 x x)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(fma.f32 1 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(fma.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (log.f32 (+.f32 x x)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))) (log.f32 (+.f32 x x)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))
(fma.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))) (log.f32 (+.f32 x x)))
(*.f32 2 (log.f32 (+.f32 x x)))
(log.f32 (.f32 x (.f32 x 4)))

localize24.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (/.f32 1/2 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series61.0ms (1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
41.0ms	x	@	-inf	(log.f32 (/.f32 1/2 x))
10.0ms	x	@	0	(log.f32 (/.f32 1/2 x))
10.0ms	x	@	inf	(log.f32 (/.f32 1/2 x))

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`pow1_binary32`
466×	`add-sqr-sqrt_binary32`
454×	`*-un-lft-identity_binary32`
444×	`add-log-exp_binary32`
444×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	105	6
2	1213	6

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(log.f32 (/.f32 1/2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (log.f32 (cbrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 1/2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (*.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (*.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (log.f32 1/2) (log.f32 1/2)) (*.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (/.f32 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (/.f32 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))))))

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary32`
435×	`log-prod_binary32`
308×	`associate-l_binary32`
302×	`associate-r_binary32`
253×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	300
1	163	290
2	552	290
3	3399	290
4	7031	290

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(-.f32 (log.f32 1/2) (log.f32 x))
(-.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
(-.f32 0 (log.f32 (/.f32 x 1/2)))
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(neg.f32 (log.f32 (/.f32 x 1/2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))

Outputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 1/2))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(*.f32 3 (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(*.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) 3)
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(-.f32 (log.f32 1/2) (log.f32 x))
(log.f32 (/.f32 1/2 x))
(-.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)
(log.f32 (/.f32 1/2 x))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
(-.f32 0 (log.f32 (/.f32 x 1/2)))
(log.f32 (/.f32 1/2 x))
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(log.f32 (/.f32 1/2 x))
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(log.f32 (/.f32 1/2 x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (+.f32 (.f32 (log.f32 x) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 1/2) (log.f32 1/2) (*.f32 (log.f32 x) (+.f32 (log.f32 1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 1/2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (+.f32 (log.f32 1/2) (log.f32 x)) (*.f32 (log.f32 1/2) (log.f32 1/2))))
(/.f32 (-.f32 (.f32 (log.f32 1/2) (log.f32 1/2)) (.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 1/2) (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(log.f32 (/.f32 1/2 x))
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(log.f32 (/.f32 1/2 x))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(log.f32 (/.f32 1/2 x))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(log.f32 (/.f32 1/2 x))
(neg.f32 (log.f32 (/.f32 x 1/2)))
(log.f32 (/.f32 1/2 x))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(log.f32 (/.f32 1/2 x))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(log.f32 (/.f32 1/2 x))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))
(log1p.f32 (+.f32 (/.f32 1/2 x) -1))
(log1p.f32 (+.f32 -1 (/.f32 1/2 x)))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))
(log.f32 (/.f32 1/2 x))

localize50.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x))))
✓	0.0b	(-.f32 (*.f32 x -2) (/.f32 1/2 x))
✓	0.3b	(/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x))))
1.0ms	x	@	0	(/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))
0.0ms	x	@	0	(log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x))))
0.0ms	x	@	-inf	(log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x))))
0.0ms	x	@	inf	(/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`prod-diff_binary32`
455×	`log-prod_binary32`
263×	`pow2_binary32`
258×	`fma-def_binary32`
252×	`pow-prod-down_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	219	31
2	2754	31

Stop Event

1×	node limit

Counts

3 → 242

Calls

Call 1

Inputs
(/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))
(-.f32 (*.f32 x -2) (/.f32 1/2 x))
(log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x))))

Outputs

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simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

504×	`distribute-rgt-in_binary32`
334×	`sqr-pow_binary32`
292×	`fma-neg_binary32`
272×	`cancel-sign-sub-inv_binary32`
263×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	545	4648
1	1329	4193
2	3912	4083

Stop Event

1×	node limit

Counts

278 → 354

Calls

Call 1

Inputs
(*.f32 -2 x)
(+.f32 (.f32 -2 x) (.f32 8 (pow.f32 x 3)))
(+.f32 (.f32 -2 x) (+.f32 (.f32 8 (pow.f32 x 3)) (*.f32 -32 (pow.f32 x 5))))
(+.f32 (.f32 128 (pow.f32 x 7)) (+.f32 (.f32 -2 x) (+.f32 (.f32 8 (pow.f32 x 3)) (.f32 -32 (pow.f32 x 5)))))
(/.f32 -1/2 x)
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/32 (/.f32 1 (pow.f32 x 5)))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/128 (/.f32 1 (pow.f32 x 7)))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/32 (/.f32 1 (pow.f32 x 5)))))
(/.f32 -1/2 x)
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/32 (/.f32 1 (pow.f32 x 5)))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/128 (/.f32 1 (pow.f32 x 7)))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/32 (/.f32 1 (pow.f32 x 5)))))
(/.f32 -1/2 x)
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 -2 x)
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(*.f32 -2 x)
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(+.f32 (log.f32 -2) (log.f32 x))
(+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (log.f32 -2) (log.f32 x)))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 8 (pow.f32 x 4)) (+.f32 (log.f32 -2) (log.f32 x))))
(+.f32 (.f32 -4 (pow.f32 x 2)) (+.f32 (.f32 -64/3 (pow.f32 x 6)) (+.f32 (*.f32 8 (pow.f32 x 4)) (+.f32 (log.f32 -2) (log.f32 x)))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))
(-.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 1 x)) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 1 x)) (.f32 1/32 (/.f32 1 (pow.f32 x 4))))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (log.f32 1/2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (log.f32 1/2))) (.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 x 4))) (log.f32 1/2))) (+.f32 (.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 0 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x))))) 1)
(*.f32 1 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x))))
(*.f32 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x))) 1)
(*.f32 (/.f32 1 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) (cbrt.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -2)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -2)) (/.f32 1 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(*.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -1/2) (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -1/2))
(*.f32 -1 (/.f32 1 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) -2) (/.f32 1 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(.f32 (/.f32 1 (-.f32 (.f32 (pow.f32 x 3) -8) (.f32 1/8 (pow.f32 x -3)))) (fma.f32 (/.f32 1/2 x) (fma.f32 x -2 (/.f32 1/2 x)) (.f32 (*.f32 x x) 4)))
(.f32 (/.f32 1 (-.f32 (.f32 (*.f32 x x) 4) (pow.f32 (/.f32 1/2 x) 2))) (fma.f32 x -2 (/.f32 1/2 x)))
(*.f32 (pow.f32 (E.f32) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -2)))) (pow.f32 (E.f32) (neg.f32 (log.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))))
(.f32 (pow.f32 (E.f32) (.f32 -1/2 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))) (pow.f32 (E.f32) (*.f32 -1/2 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -1)
(pow.f32 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x))) 1)
(pow.f32 (E.f32) (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(pow.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) 2) -1/2)
(pow.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) 3) -1/3)
(pow.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -2) 1/2)
(pow.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -3) 1/3)
(pow.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) -3)
(pow.f32 (/.f32 1 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) 3)
(pow.f32 (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) -2)
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(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2) (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2) (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2) (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2) (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (cbrt.f32 (.f32 x -2)) (cbrt.f32 (.f32 (*.f32 x x) 4)) (/.f32 -1/2 x))
(fma.f32 (cbrt.f32 (.f32 x -2)) (cbrt.f32 (.f32 (.f32 x x) 4)) (.f32 (/.f32 -1/2 x) 1))
(fma.f32 (cbrt.f32 (.f32 (.f32 x x) 4)) (cbrt.f32 (*.f32 x -2)) (/.f32 -1/2 x))
(fma.f32 (cbrt.f32 (.f32 (.f32 x x) 4)) (cbrt.f32 (.f32 x -2)) (.f32 (/.f32 -1/2 x) 1))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) -2) (/.f32 -1/2 x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (.f32 (cbrt.f32 x) -2) (.f32 (/.f32 -1/2 x) 1))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (*.f32 x -2))
(fma.f32 (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (.f32 x -2)) (/.f32 -1/2 x))
(fma.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (.f32 x -2)) (*.f32 (/.f32 -1/2 x) 1))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) -2) (/.f32 -1/2 x))
(fma.f32 (sqrt.f32 x) (.f32 (sqrt.f32 x) -2) (.f32 (/.f32 -1/2 x) 1))
(fma.f32 (sqrt.f32 (/.f32 1/2 x)) (neg.f32 (sqrt.f32 (/.f32 1/2 x))) (*.f32 x -2))
(fma.f32 -1 (/.f32 1/2 x) (*.f32 x -2))
(fma.f32 -1/2 (/.f32 1 x) (*.f32 x -2))
(fma.f32 (-.f32 (.f32 (pow.f32 x 3) -8) (.f32 1/8 (pow.f32 x -3))) (/.f32 1 (fma.f32 (/.f32 1/2 x) (fma.f32 x -2 (/.f32 1/2 x)) (.f32 (.f32 x x) 4))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 (pow.f32 x 3) -8) (.f32 1/8 (pow.f32 x -3))) (/.f32 1 (fma.f32 (/.f32 1/2 x) (fma.f32 x -2 (/.f32 1/2 x)) (.f32 (.f32 x x) 4))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 (pow.f32 x 3) -8) (.f32 1/8 (pow.f32 x -3))) (/.f32 1 (fma.f32 (/.f32 1/2 x) (fma.f32 x -2 (/.f32 1/2 x)) (.f32 (.f32 x x) 4))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 (pow.f32 x 3) -8) (.f32 1/8 (pow.f32 x -3))) (/.f32 1 (fma.f32 (/.f32 1/2 x) (fma.f32 x -2 (/.f32 1/2 x)) (.f32 (.f32 x x) 4))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 (.f32 x x) 4) (pow.f32 (/.f32 1/2 x) 2)) (/.f32 1 (fma.f32 x -2 (/.f32 1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 (.f32 x x) 4) (pow.f32 (/.f32 1/2 x) 2)) (/.f32 1 (fma.f32 x -2 (/.f32 1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 (.f32 x x) 4) (pow.f32 (/.f32 1/2 x) 2)) (/.f32 1 (fma.f32 x -2 (/.f32 1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (-.f32 (.f32 (.f32 x x) 4) (pow.f32 (/.f32 1/2 x) 2)) (/.f32 1 (fma.f32 x -2 (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 -1/2 x)) 2) (cbrt.f32 (/.f32 -1/2 x)) (*.f32 x -2))
(fma.f32 (sqrt.f32 (/.f32 -1/2 x)) (sqrt.f32 (/.f32 -1/2 x)) (*.f32 x -2))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 1/2 x))) (sqrt.f32 (/.f32 1/2 x)) (*.f32 x -2))
(fma.f32 (+.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (/.f32 -1/2 x) 1 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (neg.f32 (/.f32 1 x)) 1/2 (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (/.f32 1/2 x))) (fma.f32 (neg.f32 (cbrt.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (/.f32 1/2 x)))
(fma.f32 (+.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (/.f32 1/2 x))) (-.f32 (sqrt.f32 (.f32 x -2)) (sqrt.f32 (/.f32 1/2 x))) (+.f32 (/.f32 -1/2 x) (/.f32 1/2 x)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (cbrt.f32 (/.f32 1/2 x)) (*.f32 x -2))
(fma.f32 (*.f32 -2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (/.f32 -1/2 x))
(fma.f32 (.f32 -2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (.f32 (/.f32 -1/2 x) 1))
(fma.f32 (*.f32 -2 (sqrt.f32 x)) (sqrt.f32 x) (/.f32 -1/2 x))
(fma.f32 (.f32 -2 (sqrt.f32 x)) (sqrt.f32 x) (.f32 (/.f32 -1/2 x) 1))
(+.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) 0)
(+.f32 (log.f32 -1) (log.f32 (/.f32 1 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(+.f32 0 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -2))) (neg.f32 (log.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(+.f32 (neg.f32 (log.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -2))))
(+.f32 (.f32 -1/2 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) (.f32 -1/2 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) -2)) (neg.f32 (log.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(+.f32 (log.f32 (/.f32 1 (-.f32 (.f32 (pow.f32 x 3) -8) (.f32 1/8 (pow.f32 x -3))))) (log.f32 (fma.f32 (/.f32 1/2 x) (fma.f32 x -2 (/.f32 1/2 x)) (.f32 (.f32 x x) 4))))
(+.f32 (log.f32 (/.f32 1 (-.f32 (.f32 (.f32 x x) 4) (pow.f32 (/.f32 1/2 x) 2)))) (log.f32 (fma.f32 x -2 (/.f32 1/2 x))))
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(-.f32 0 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))
(-.f32 0 (log.f32 (neg.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(-.f32 (exp.f32 (log1p.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))) 1)
(-.f32 (*.f32 -1/2 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(-.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))) -2)) (log.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(*.f32 1 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(*.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) 1)
(*.f32 (cbrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))) (cbrt.f32 (pow.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2)) (cbrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))) (sqrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(*.f32 -1 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))
(*.f32 3 (neg.f32 (log.f32 (cbrt.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(.f32 2 (.f32 -1/2 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))
(*.f32 1/3 (log.f32 (pow.f32 (fma.f32 x -2 (/.f32 -1/2 x)) -3)))
(/.f32 (-.f32 0 (pow.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 3)) (+.f32 0 (+.f32 (pow.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2) (*.f32 0 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))))
(/.f32 (-.f32 0 (pow.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2)) (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))
(pow.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) 1)
(pow.f32 (pow.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2) 1/2)
(pow.f32 (pow.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))) 3)
(pow.f32 (sqrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))) 2)
(neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))
(neg.f32 (log.f32 (neg.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))) 2))
(cbrt.f32 (pow.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))) 3))
(expm1.f32 (log1p.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(log1p.f32 (-.f32 (/.f32 1 (fma.f32 x -2 (/.f32 -1/2 x))) 1))
(exp.f32 (log.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))) 3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))) 2))
(fma.f32 1 (log.f32 -1) (neg.f32 (log.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 -1)) 2) (cbrt.f32 (log.f32 -1)) (neg.f32 (log.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(fma.f32 (sqrt.f32 (log.f32 -1)) (sqrt.f32 (log.f32 -1)) (neg.f32 (log.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))

Outputs
(*.f32 -2 x)
(+.f32 (.f32 -2 x) (.f32 8 (pow.f32 x 3)))
(fma.f32 -2 x (*.f32 8 (pow.f32 x 3)))
(+.f32 (.f32 -2 x) (+.f32 (.f32 8 (pow.f32 x 3)) (*.f32 -32 (pow.f32 x 5))))
(fma.f32 -2 x (fma.f32 8 (pow.f32 x 3) (*.f32 -32 (pow.f32 x 5))))
(fma.f32 -2 x (fma.f32 -32 (pow.f32 x 5) (*.f32 8 (pow.f32 x 3))))
(+.f32 (.f32 128 (pow.f32 x 7)) (+.f32 (.f32 -2 x) (+.f32 (.f32 8 (pow.f32 x 3)) (.f32 -32 (pow.f32 x 5)))))
(fma.f32 128 (pow.f32 x 7) (fma.f32 -2 x (fma.f32 8 (pow.f32 x 3) (*.f32 -32 (pow.f32 x 5)))))
(fma.f32 128 (pow.f32 x 7) (fma.f32 -2 x (fma.f32 -32 (pow.f32 x 5) (*.f32 8 (pow.f32 x 3)))))
(/.f32 -1/2 x)
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(-.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/2 x))
(+.f32 (/.f32 -1/2 x) (/.f32 1/8 (pow.f32 x 3)))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/32 (/.f32 1 (pow.f32 x 5)))))
(-.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/32 (pow.f32 x 5)) (/.f32 1/2 x)))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 -1/2 x) (/.f32 1/32 (pow.f32 x 5))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 -1/2 x) (/.f32 -1/32 (pow.f32 x 5))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/128 (/.f32 1 (pow.f32 x 7)))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/32 (/.f32 1 (pow.f32 x 5)))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 1/128 (pow.f32 x 7)) (+.f32 (/.f32 1/32 (pow.f32 x 5)) (/.f32 1/2 x))))
(-.f32 (+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 1/128 (pow.f32 x 7)) (/.f32 1/2 x))) (/.f32 1/32 (pow.f32 x 5)))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/128 (pow.f32 x 7)) (+.f32 (/.f32 -1/2 x) (/.f32 -1/32 (pow.f32 x 5)))))
(/.f32 -1/2 x)
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/2 (/.f32 1 x)))
(-.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/2 x))
(+.f32 (/.f32 -1/2 x) (/.f32 1/8 (pow.f32 x 3)))
(-.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 1/2 (/.f32 1 x)) (*.f32 1/32 (/.f32 1 (pow.f32 x 5)))))
(-.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/32 (pow.f32 x 5)) (/.f32 1/2 x)))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 -1/2 x) (/.f32 1/32 (pow.f32 x 5))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 -1/2 x) (/.f32 -1/32 (pow.f32 x 5))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 3))) (.f32 1/128 (/.f32 1 (pow.f32 x 7)))) (+.f32 (.f32 1/2 (/.f32 1 x)) (.f32 1/32 (/.f32 1 (pow.f32 x 5)))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 1/128 (pow.f32 x 7)) (+.f32 (/.f32 1/32 (pow.f32 x 5)) (/.f32 1/2 x))))
(-.f32 (+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 1/128 (pow.f32 x 7)) (/.f32 1/2 x))) (/.f32 1/32 (pow.f32 x 5)))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/128 (pow.f32 x 7)) (+.f32 (/.f32 -1/2 x) (/.f32 -1/32 (pow.f32 x 5)))))
(/.f32 -1/2 x)
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(*.f32 -2 x)
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(*.f32 -2 x)
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(-.f32 (.f32 -2 x) (.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 -2 x) (/.f32 1/2 x))
(fma.f32 -2 x (/.f32 -1/2 x))
(+.f32 (log.f32 -2) (log.f32 x))
(+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (log.f32 -2) (log.f32 x)))
(fma.f32 -4 (*.f32 x x) (+.f32 (log.f32 -2) (log.f32 x)))
(+.f32 (log.f32 x) (fma.f32 -4 (*.f32 x x) (log.f32 -2)))
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(exp.f32 (log.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(neg.f32 (log.f32 (fma.f32 -2 x (/.f32 -1/2 x))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x))))) 1))
(neg.f32 (log.f32 (fma.f32 -2 x (/.f32 -1/2 x))))
(exp.f32 (.f32 (.f32 3 (log.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))) 1/3))
(neg.f32 (log.f32 (fma.f32 -2 x (/.f32 -1/2 x))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))) 3))
(neg.f32 (log.f32 (fma.f32 -2 x (/.f32 -1/2 x))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (neg.f32 (log.f32 (fma.f32 x -2 (/.f32 -1/2 x)))))) 2))
(neg.f32 (log.f32 (fma.f32 -2 x (/.f32 -1/2 x))))
(fma.f32 1 (log.f32 -1) (neg.f32 (log.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(neg.f32 (log.f32 (fma.f32 -2 x (/.f32 -1/2 x))))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 -1)) 2) (cbrt.f32 (log.f32 -1)) (neg.f32 (log.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(neg.f32 (log.f32 (fma.f32 -2 x (/.f32 -1/2 x))))
(fma.f32 (sqrt.f32 (log.f32 -1)) (sqrt.f32 (log.f32 -1)) (neg.f32 (log.f32 (neg.f32 (fma.f32 x -2 (/.f32 -1/2 x))))))
(neg.f32 (log.f32 (fma.f32 -2 x (/.f32 -1/2 x))))

localize24.0ms (0.4%)

Compiler: Compiled 20 to 5 computations (75% saved)

eval253.0ms (4.2%)

Compiler: Compiled 12011 to 8827 computations (26.5% saved)

prune176.0ms (3%)

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	662	5	667
Fresh	2	5	7
Picked	1	0	1
Done	0	10	10
Total	665	20	685

Error

Counts

685 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	24.3b	(copysign.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x))) x)
	15.4b	(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
✓	27.4b	(copysign.f32 (+.f32 1 (log.f32 x)) x)
	20.6b	(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
	19.1b	(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
	8.2b	(copysign.f32 (log1p.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)) x)
	29.7b	(copysign.f32 (log1p.f32 (-.f32 (/.f32 1/2 x) 1)) x)
	30.2b	(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
✓	7.9b	(copysign.f32 (log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1))) x)
	13.7b	(copysign.f32 (log1p.f32 (+.f32 x (.f32 x (.f32 x 1/2)))) x)
✓	13.5b	(copysign.f32 (log1p.f32 x) x)
✓	23.1b	(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
✓	23.8b	(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
	20.4b	(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
✓	23.7b	(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
✓	23.9b	(copysign.f32 (log.f32 (+.f32 x x)) x)
	23.2b	(copysign.f32 (log.f32 (*.f32 -2 x)) x)
✓	27.7b	(copysign.f32 (log.f32 (neg.f32 x)) x)
✓	22.0b	(copysign.f32 (exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
✓	14.4b	(copysign.f32 x x)

Compiler

Compiled 186 to 130 computations (30.1% saved)

regimes81.0ms (1.4%)

Counts

43 → 2

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 1/2 x) 1)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (+.f32 x (.f32 x (.f32 x 1/2)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (log.f32 2) (log.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1))) x)
(copysign.f32 (log.f32 (+.f32 1 (fma.f32 x (*.f32 x 1/2) x))) x)
(copysign.f32 (log.f32 (+.f32 (+.f32 x (fabs.f32 x)) (/.f32 1/2 x))) x)
(copysign.f32 (-.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 1) x)
(copysign.f32 (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (hypot.f32 1 x))) x)
(copysign.f32 (*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)
(copysign.f32 (log.f32 (/.f32 1 (+.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/16 (pow.f32 x 5)) (/.f32 1/8 (pow.f32 x 3)))))) x)
(copysign.f32 (exp.f32 (log.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (expm1.f32 (log1p.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (log.f32 (expm1.f32 (log1p.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3) x)
(copysign.f32 (log1p.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) 3)) x)
(copysign.f32 (fma.f32 (pow.f32 x 4) (+.f32 (/.f32 -1/8 (+.f32 1 x)) (/.f32 -1/8 (pow.f32 (+.f32 1 x) 2))) (fma.f32 1/2 (/.f32 (*.f32 x x) (+.f32 1 x)) (log1p.f32 x))) x)
(copysign.f32 (*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x)))) 2) (cbrt.f32 (log.f32 (+.f32 x (hypot.f32 1 x))))) x)
(copysign.f32 (-.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 (hypot.f32 1 x) x) -2))) (log.f32 (cbrt.f32 (-.f32 (hypot.f32 1 x) x)))) x)
(copysign.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) 3)) (+.f32 1 (*.f32 (+.f32 1 (log.f32 (+.f32 x (hypot.f32 1 x)))) (+.f32 2 (log.f32 (+.f32 x (hypot.f32 1 x))))))) x)
(copysign.f32 (-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (hypot.f32 1 x) 3))) (log.f32 (fma.f32 (hypot.f32 1 x) (-.f32 (hypot.f32 1 x) x) (*.f32 x x)))) x)

Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1))) x)

Calls

2 calls:

52.0ms	x
18.0ms	(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)

Results

Error	Segments	Branch
0.6b	2	`x`
0.6b	2	`(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x)`

Compiler

Compiled 489 to 326 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.061000108718872	-0.21316936612129211

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes56.0ms (0.9%)

Counts

24 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 1/2 x) 1)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (+.f32 x (.f32 x (.f32 x 1/2)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (log.f32 2) (log.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (hypot.f32 1 x) x))) x)

Outputs
(copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Calls

1 calls:

52.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 185 to 116 computations (37.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.002586515387520194	0.07556059211492538
0.0ms	-0.21478751301765442	-0.012461235746741295

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes35.0ms (0.6%)

Counts

22 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 1/2 x) 1)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (+.f32 x (.f32 x (.f32 x 1/2)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (log.f32 2) (log.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Outputs
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 166 to 103 computations (38% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.002586515387520194	0.07556059211492538
0.0ms	-3.8632473945617676	-0.21478751301765442

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes60.0ms (1%)

Counts

21 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 1/2 x) 1)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (+.f32 x (.f32 x (.f32 x 1/2)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))) x)
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 (+.f32 x x))) x)
(copysign.f32 (log1p.f32 (fabs.f32 x)) x)
(copysign.f32 (log.f32 (+.f32 1 (fabs.f32 x))) x)
(copysign.f32 (log.f32 (-.f32 (fabs.f32 x) x)) x)
(copysign.f32 (+.f32 (log.f32 2) (log.f32 x)) x)

Outputs
(copysign.f32 (log.f32 (/.f32 1 (-.f32 (*.f32 x -2) (/.f32 1/2 x)))) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)

Calls

1 calls:

56.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 158 to 98 computations (38% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.9501133561134338	1.7411428689956665
0.0ms	-3.8632473945617676	-0.21478751301765442

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes25.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 1/2 x) 1)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)
(copysign.f32 (log1p.f32 (+.f32 x (.f32 x (.f32 x 1/2)))) x)
(copysign.f32 (log.f32 (+.f32 (.f32 2 x) (.f32 1/2 (/.f32 1 x)))) x)

Outputs
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 108 to 70 computations (35.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.9501133561134338	1.7411428689956665
0.0ms	-3.8632473945617676	-0.21478751301765442

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes34.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 1/2 x) 1)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)

Outputs
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 76 to 49 computations (35.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.9501133561134338	1.7411428689956665
0.0ms	-3.8632473945617676	-0.21478751301765442

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes22.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)
(copysign.f32 (+.f32 1 (log.f32 x)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 -1/2 x) 1)) x)
(copysign.f32 (log1p.f32 (-.f32 (/.f32 1/2 x) 1)) x)

Outputs
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (/.f32 1/2 x)) x)

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 67 to 43 computations (35.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.9501133561134338	1.7411428689956665
0.0ms	-3.8632473945617676	-0.21478751301765442

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes17.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)
(copysign.f32 (log.f32 (+.f32 x x)) x)
(copysign.f32 (log.f32 (/.f32 -1/2 x)) x)

Outputs
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 x x)
(copysign.f32 (log.f32 (+.f32 x x)) x)

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 39 to 23 computations (41% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.9501133561134338	1.7411428689956665
0.0ms	-3.8632473945617676	-0.21478751301765442

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log.f32 (+.f32 1 x)) x)

Outputs
(copysign.f32 (log.f32 (*.f32 -2 x)) x)
(copysign.f32 (log1p.f32 x) x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
5.3b	2	`x`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-3.8632473945617676	-0.21478751301765442

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)
(copysign.f32 (log.f32 (neg.f32 x)) x)

Outputs
(copysign.f32 (log.f32 (neg.f32 x)) x)
(copysign.f32 (log1p.f32 x) x)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
9.9b	2	`x`

Compiler

Compiled 15 to 8 computations (46.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	-3.8632473945617676	-0.21478751301765442

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -3.9b remaining (-32.4%)

Threshold costs -3.9b (-32.4%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)

Outputs
(copysign.f32 x x)
(copysign.f32 (log1p.f32 x) x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
12.0b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9501133561134338	1.7411428689956665

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary32`
6×	`sub-neg_binary32`
5×	`*-commutative_binary32`
3×	`neg-sub0_binary32`
3×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	438
1	99	438
2	111	438
3	115	438
4	116	438

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (copysign.f32 (log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1))) x))
(if (<=.f32 x -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (.f32 -2 x)) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (.f32 -2 x)) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 -2 x)) x) (if (<=.f32 x 1) (copysign.f32 x x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 -2 x)) x) (if (<=.f32 x 1) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 -2 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 1) (copysign.f32 x x) (copysign.f32 (log1p.f32 x) x))
(copysign.f32 x x)

Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (copysign.f32 (log1p.f32 (+.f32 x (-.f32 (hypot.f32 1 x) 1))) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) 1)))) x) -2) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (copysign.f32 (log1p.f32 (+.f32 x (+.f32 (hypot.f32 1 x) -1))) x))
(if (<=.f32 x -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 (+.f32 (*.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -13421773/67108864) (copysign.f32 (neg.f32 (log.f32 (-.f32 (hypot.f32 1 x) x))) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 (+.f32 x (*.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 (+.f32 x (.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 1 (+.f32 (.f32 x -2) (/.f32 -1/2 x)))) x) (if (<=.f32 x 5368709/1073741824) (copysign.f32 (+.f32 x (.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (hypot.f32 1 x))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 1 (-.f32 (.f32 x -2) (/.f32 1/2 x)))) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 x (.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (/.f32 1 (+.f32 (.f32 x -2) (/.f32 -1/2 x)))) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 x (.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (.f32 -2 x)) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (.f32 x -2)) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 x (.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (+.f32 x (+.f32 x (/.f32 1/2 x)))) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (.f32 -2 x)) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 (.f32 -1/6 (pow.f32 x 3)) x) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (.f32 x -2)) x) (if (<=.f32 x 1) (copysign.f32 (+.f32 x (.f32 -1/6 (pow.f32 x 3))) x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 -2 x)) x) (if (<=.f32 x 1) (copysign.f32 x x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 x -2)) x) (if (<=.f32 x 1) (copysign.f32 x x) (copysign.f32 (log.f32 (/.f32 1/2 x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 -2 x)) x) (if (<=.f32 x 1) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 x -2)) x) (if (<=.f32 x 1) (copysign.f32 x x) (copysign.f32 (log.f32 (+.f32 x x)) x)))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 -2 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (*.f32 x -2)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x -2) (copysign.f32 (log.f32 (neg.f32 x)) x) (copysign.f32 (log1p.f32 x) x))
(if (<=.f32 x 1) (copysign.f32 x x) (copysign.f32 (log1p.f32 x) x))
(copysign.f32 x x)

Compiler

Compiled 305 to 207 computations (32.1% saved)

soundness306.0ms (5.1%)

Algorithm

7×	egg-herbie

Rules

805×	`fma-def_binary32`
805×	`fma-def_binary32`
805×	`fma-def_binary32`
763×	`fma-neg_binary32`
763×	`fma-neg_binary32`

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	293	1879
1	822	1652
2	2899	1586
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

Stop Event

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

Compiler

Compiled 472 to 331 computations (29.9% saved)

end142.0ms (2.4%)

Compiler: Compiled 294 to 189 computations (35.7% saved)